ASTRONOMICAL PHENOMENAaa.usno.navy.mil/publications/reports/ap18_for_web.pdf · OCCULTATIONS OF PLANETS AND BRIGHT STARS BY THE MOON ... Superior conjunction ::: ... Astronomical

ASTRONOMICALPHENOMENA

FOR THE YEAR

2018

Prepared Jointly byThe Nautical Almanac OfficeUnited States Naval Observatory

and

Her Majesty’s Nautical Almanac OfficeUnited Kingdom Hydrographic Office

WASHINGTONU.S. Government Printing Office

2015

UNITED STATES

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by permission

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order online at https://bookstore.gpo.gov/

UNITED KINGDOM

c© Crown Copyright 2015

This publication is protected by international copyright law. All rights reserved. No part ofthis publication may be reproduced, stored in a retrieval system or transmitted in any form orby any means, electronic, mechanical, photocopying, recording or otherwise without the priorpermission of Her Majesty’s Nautical Almanac Office, United Kingdom Hydrographic Office,Admiralty Way, Taunton, Somerset TA1 2DN, United Kingdom.

The following United States government work is excepted from the above notice, and nocopyright is claimed for it in the United States: cover, title page and reverse, pages 64-69,71-74, 76-77.

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ASTRONOMICAL PHENOMENA

FOR THE YEAR 2018

CONTENTS PagePhenomena: Seasons, Moon Phases, Eclipses . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Occultations, Perigee and Apogee of the Moon . . . . . . . . . . . . . . . . . . 5Geocentric and Heliocentric Planetary Phenomena . . . . . . . . . . . . . . . 6Visibility of the Planets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7, 8Times of Meridian Passages of the Planets . . . . . . . . . . . . . . . . . . . . . 9Elongations and Magnitudes of the Planets . . . . . . . . . . . . . . . . . . . . . 10Diary of Configurations of the Sun, Moon and Planets . . . . . . . . . . . . 12Perihelion Passages of Comets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

Chronological Cycles and Eras; Religious and Civil Holidays . . . . . . . . . . . . . . . . . . 15Gregorian Calendar and Julian Day Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16Mean Sidereal Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17Sun: Equation of Time and Declination . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18Circumpolar Stars: Positions of Polaris and σ Octantis . . . . . . . . . . . . . . . . . . . . . 20International Time Zones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22Explanation of Rising and Setting Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23Sunrise and Sunset Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24Moonrise and Moonset Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32Eclipses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64Related Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78Web Links . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

HA371/009/007/-01 : Astronomical Phenomena, 2018 TEX aph18 2015 September 15 PLEASE REMOVE

INTRODUCTORY NOTE4

The astronomical data in this booklet are expressed in the scale of universal time (UT); thisis also known as Greenwich mean time (GMT) and is the standard time of the Greenwichmeridian (0◦ of longitude). A time in UT may be converted to local mean time by theaddition of east longitude (or subtraction of west longitude), where the longitude of the placeis expressed in time-measure at the rate of 1 hour for every 15◦. The differences betweenstandard times and UT are indicated in the chart on page 22; local clock times may, however,differ from these standard times, especially in summer when clocks are often advanced by1 hour.

PRINCIPAL PHENOMENA OF SUN AND MOON, 2018

THE SUNd h d h m d h m

Perigee . . . Jan. 3 06 Equinoxes . . . Mar. 20 16 15 . . . . . . Sept. 23 01 54Apogee . . . July 6 17 Solstices . . . June 21 10 07 . . . . . . Dec. 21 22 23

PHASES OF THE MOON

Lunation New Moon First Quarter Full Moon Last Quarter

d h m d h m d h m d h m1175 Jan. 2 02 24 Jan. 8 22 251176 Jan. 17 02 17 Jan. 24 22 20 Jan. 31 13 27 Feb. 7 15 541177 Feb. 15 21 05 Feb. 23 08 09 Mar. 2 00 51 Mar. 9 11 201178 Mar. 17 13 12 Mar. 24 15 35 Mar. 31 12 37 Apr. 8 07 181179 Apr. 16 01 57 Apr. 22 21 46 Apr. 30 00 58 May 8 02 091180 May 15 11 48 May 22 03 49 May 29 14 20 June 6 18 321181 June 13 19 43 June 20 10 51 June 28 04 53 July 6 07 511182 July 13 02 48 July 19 19 52 July 27 20 20 Aug. 4 18 181183 Aug. 11 09 58 Aug. 18 07 49 Aug. 26 11 56 Sept. 3 02 371184 Sept. 9 18 01 Sept. 16 23 15 Sept. 25 02 52 Oct. 2 09 451185 Oct. 9 03 47 Oct. 16 18 02 Oct. 24 16 45 Oct. 31 16 401186 Nov. 7 16 02 Nov. 15 14 54 Nov. 23 05 39 Nov. 30 00 191187 Dec. 7 07 20 Dec. 15 11 49 Dec. 22 17 49 Dec. 29 09 34

ECLIPSES

A total eclipse of the Moon Jan. 31 North America except eastern part, Oceania,Russia, Asia, Middle East, northernScandanavia and eastern Europe.

A partial eclipse of the Sun Feb. 15 Antarctica except Wilkes Land, southern partof South America and Falkland Islands.

A partial eclipse of the Sun Jul. 13 Tip of Wilkes Land in Antarctica, Tasmania,southernmost part of South Australia andStewart Island.

A total eclipse of the Moon Jul. 27 Antarctica, Australasia, Russia exceptnorthernmost part, Asia, Africa,Scandanavia, Europe, Central and EasternSouth America.

A partial eclipse of the Sun Aug. 11 Northernmost Canada, Greenland, Iceland,northernmost tip of the British Isles, mostof Scandanavia, Svalbard, most of Russia,most of Kazakhstan, most of Kyrgyzstan,Mongolia, most of China

For further details see pages 64–77


LUNAR PHENOMENA, 2018 5

MOON AT PERIGEE MOON AT APOGEE

d h d h d h d h d h d hJan. 1 22 May 17 21 Oct. 5 22 Jan. 15 02 June 2 17 Oct. 17 19Jan. 30 10 June 15 00 Oct. 31 20 Feb. 11 14 June 30 03 Nov. 14 16Feb. 27 15 July 13 08 Nov. 26 12 Mar. 11 09 July 27 06 Dec. 12 12Mar. 26 17 Aug. 10 18 Dec. 24 10 Apr. 8 06 Aug. 23 11Apr. 20 15 Sept. 8 01 May 6 01 Sept. 20 01

OCCULTATIONS OF PLANETS AND BRIGHT STARS BY THE MOON

Date Body Areas of Visibilityd h

Jan. 05 08 Regulus Alaska, eastern tip of Russia, northern Canada, Greenland,Svalbard, Iceland, most of Europe, north westernmost Africa

Jan. 12 04 Vesta Southern Africa, Madagascar, French Southern and AntarcticLands, S.W. Australia, Tasmania

Jan. 27 11 Aldebaran Most of India, Central Asia, most of China, Mongolia, most ofRussia, Alaska, N.W. North America

Feb. 01 19 Regulus Scandanavia, northern Greenland, Svalbard, northern and easternRussia, N.E. China, N.W. Alaska, most of Japan

Feb. 09 13 Vesta Chatham Island, most of AntarcticaFeb. 23 18 Aldebaran Bermuda, N.E. North America, Greenland, most of Europe,

Svalbard, most of Russia, Kazakhstan, western Mongolia,N.W. China

Mar. 01 06 Regulus N.E. tip of Russia, N. North America, Greenland, Svalbard, W.edge of Europe, Azores

Mar. 22 23 Aldebaran N.E. Russia, N.W. North America, Greenland, Svalbard, most ofScandanavia, Great Britain and Ireland

Mar. 28 14 Regulus Most of Scandanavia, N. and eastern Russia, Svalbard, N.Greenland, north westernmost North America, Aleutian Islands

Apr. 19 05 Aldebaran Most of Uzbekistan, most of Kazakhstan, central and northernRussia, north and eastern Scandanavia, N. Greenland,northernmost Canada

Apr. 24 20 Regulus Central Russia, N.E. tip of KazakhstanMay. 16 13 Aldebaran Central and northern Canada, N.W. Greenland, northernmost

central RussiaJun. 27 09 Vesta Micronesia, Kiribati, northern French Polynesia, southern

Mexico, Central America, Galapagos IslandsJul. 10 10 Aldebaran Central and N. North America, most of Greenland, N. central

RussiaAug. 04 23 Juno E. Europe, W. Russia, Scandanavia, N.E. Greenland, extreme

northern CanadaAug. 06 19 Aldebaran Mongolia, Central Russia, Svalbard, most of Greenland,

northernmost CanadaSep. 03 02 Aldebaran Greenland, northernmost CanadaNov. 12 18 Pluto N.E. North America, S. Greenland, Iceland, Azores, most of

western EuropeNov. 16 04 Mars Most of Antartica, Falkland Islands, S. South AmericaDec. 09 05 Saturn South eastern Russia, northern tip of ChinaDec. 10 04 Pluto N.E. China, E. Mongolia, Japan, E. and S.E. Russia, N.

Micronesia, Aleutian Islands

Maps showing the areas of visibility may be found on AsA-Online.


PLANETARY PHENOMENA, 20186

GEOCENTRIC PHENOMENA

MERCURYd h d h d h d h

Greatest elongation West Jan. 1 20 (23◦) Apr. 29 18 (27◦) Aug. 26 21 (18◦) Dec. 15 12 (21◦)Superior conjunction . . . Feb. 17 12 June 6 02 Sept. 21 02 —Greatest elongation East Mar. 15 15 (18◦) July 12 05 (26◦) Nov. 6 15 (23◦) —Stationary . . . . . . . . . Mar. 22 17 July 25 07 Nov. 17 05 —Inferior conjunction . . . Apr. 1 18 Aug. 9 02 Nov. 27 09 —Stationary . . . . . . . . . Apr. 14 04 Aug. 18 12 Dec. 6 20 —

VENUSd h d h

Superior conjunction . . . Jan. 9 07 Inferior conjunction . . . Oct. 26 14Greatest elongation East Aug. 17 17 (46◦) Stationary . . . . . . . . . Nov. 14 03Greatest illuminated extent Sept. 21 10 Greatest illuminated extent Dec. 2 00Stationary . . . . . . . . . Oct. 5 04

EARTHd h d h m d h m

Perihelion . . . Jan. 3 06 Equinoxes . . . Mar. 20 16 15 . . . . . . Sept. 23 01 54Aphelion . . . July 6 17 Solstices . . . June 21 10 07 . . . . . . Dec. 21 22 23

SUPERIOR PLANETS

Stationary Opposition Stationary Conjunctiond h d h d h d h

Mars . . . . . . . . . . . . . . . June 28 14 July 27 05 Aug. 28 10 —Jupiter . . . . . . . . . . . . . . . Mar. 9 10 May 9 01 July 11 04 Nov. 26 07Saturn . . . . . . . . . . . . . . . Apr. 18 02 June 27 13 Sept. 6 10 —Uranus . . . . . . . . . . . . . . . Aug. 7 21 Oct. 24 01 | Jan. 2 21 Apr. 18 14Neptune . . . . . . . . . . . . . . . June 19 12 Sept. 7 18 Nov. 25 08 | Mar. 4 14

The vertical bars indicate where the dates for the planet are not in chronological order.

HELIOCENTRIC PHENOMENA

Aphelion Perihelion Descending Greatest Ascending GreatestNode Lat. South Node Lat. North

Mercury Jan. 25 Mar. 10 Jan. 15 Feb. 14 Mar. 5 Mar. 20Apr. 23 June 6 Apr. 13 May 13 June 1 June 16July 20 Sept. 2 July 10 Aug. 9 Aug. 28 Sept. 12Oct. 16 Nov. 29 Oct. 6 Nov. 5 Nov. 24 Dec. 9

Venus Jan. 23 May 15 — Feb. 14 Apr. 12 June 6Sept. 5 Dec. 26 Aug. 1 Sept. 27 Nov. 22 —

Mars — Sept. 16 Mar. 16 Aug. 21 — —

Saturn: Aphelion, Apr. 17Jupiter, Uranus, Neptune: None in 2018


PHENOMENA, 2018 7

VISIBILITY OF PLANETS

MERCURY can only be seen low in the east before sunrise, or low in the west after sunset (about the timeof beginning or end of civil twilight). It is visible in the mornings between the following approximatedates: January 1 to February 4, April 10 to May 29, August 17 to September 11 and December 3 toDecember 31. The planet is brighter at the end of each period, (the best conditions in northern latitudesoccur in early January, late August and in mid-December and in southern latitudes from mid-April tomid-May). It is visible in the evenings between the following approximate dates: February 28 to March25, June 14 to August 1, and October 4 to November 21. The planet is brighter at the beginning of eachperiod, (the best conditions in northern latitudes occur in mid-March and in southern latitudes in the firstthree weeks of July).

VENUS is too close to the Sun for observation until the end of the third week of February when itappears as a brilliant object in the evening sky. In late October it again becomes too close to the Sun forobservation until the start of November when it reappears in the morning sky. Venus is in conjunctionwith Mercury on March 5, March 18 and October 14.

MARS is visible as a reddish object in Libra in the morning sky at the beginning of the year. Its westwardelongation gradually increases, and in February it moves through Scorpius and Ophiucus (passing 5◦ Nof Antares on February 10), into Sagittarius from mid-March and Capricornus from mid-May. It is atopposition on July 27 when it is visible throughout the night. The planet returns to Sagittarius in lateAugust and then moves through Capricornus, Aquarius and into Pisces in late December. From earlyDecember it can only be seen in the evening sky. Mars is in conjunction with Jupiter on January 7 andwith Saturn on April 2.

JUPITER is visible in the morning sky in Libra at the beginning of the year. Its westward elongationgradually increases and from the second week of February it can be seen for more than half the night.It is at opposition on May 9 when it is visible throughout the night. By early August it can only beseen in the evening sky. From mid-November it becomes too close to the Sun for observation until inearly December it reappears in the morning sky in Scorpius. It moves into Ophiuchus in mid-December(passing 5◦ N of Antares on December 20). Jupiter is in conjunction with Mercury on October 30 andDecember 21 and with Mars on January 7.

SATURN is too close to the Sun for observation from the beginning of the year until the start of thesecond week of January when it rises just before sunrise in Sagittarius, in which constellation it remainsthroughout the year. Its westward elongation gradually increases and in early April it becomes visiblefor more than half the night. It is at opposition on June 27 when it can be seen throughout the night.From late September until mid-December it can only be seen in the evening sky and then becomes tooclose to the Sun for observation for the remainder of the year. Saturn is in conjunction with Mercury onJanuary 13 and with Mars on April 2.

URANUS is visible at the beginning of the year in Pisces and by mid-January can only be seen in theevening sky until late March when it becomes too close to the Sun for observation. It reappears inmid-May in the morning sky in Aries and is at opposition on October 24. Its eastward elongation thengradually decreases passing into Pisces once again from early December where it can be seen for morethan half the night.

NEPTUNE is visible at the beginning of the year in the evening sky in Aquarius and remains in thisconstellation throughout the year. In the second week of February it becomes too close to the Sun forobservation and reappears in late March in the morning sky. Neptune is at opposition on September 7and from early December can only be seen in the evening sky.

DO NOT CONFUSE (1) Jupiter with Mars in the first half of January and with Mercury in late Octoberto early November and in the second half of December; on all occasions Jupiter is the brighter object.(2) Mercury with Saturn in mid-January when Mercury is the brighter object. (3) Mercury with Venusin late February to late March when Venus is the brighter object. (4) Mars with Saturn in late March tomid-April when Mars is the brighter object.

VISIBILITY OF PLANETS IN MORNING AND EVENING TWILIGHT

Morning Evening

Venus February 20 – October 22November 1 – December 31

Mars January 1 – July 27July 27 – December 31

Jupiter January 1 – May 9 May 9 – November 13December 9 – December 31

Saturn January 8 – June 27 June 27 – December 16


PHENOMENA, 20188

VISIBILITY OF PLANETS

The planet diagram on page 9 shows, in graphical form for any date during the year, thelocal mean times of meridian passage of the Sun, of the five planets, Mercury, Venus, Mars,Jupiter and Saturn, and of every 2h of right ascension. Intermediate lines, corresponding toparticular stars, may be drawn in by the user if desired. The diagram is intended to provide ageneral picture of the availability of planets and stars for observation during the year.

On each side of the line marking the time of meridian passage of the Sun, a band 45m wideis shaded to indicate that planets and most stars crossing the meridian within 45m of the Sunare generally too close to the Sun for observation.

For any date the diagram provides immediately the local mean time of meridian passage ofthe Sun, planets and stars, and thus the following information:

a) whether a planet or star is too close to the Sun for observation;b) visibility of a planet or star in the morning or evening;c) location of a planet or star during twilight;d) proximity of planets to stars or other planets.

When the meridian passage of a body occurs at midnight, it is close to opposition to theSun and is visible all night, and may be observed in both morning and evening twilights. Asthe time of meridian passage decreases, the body ceases to be observable in the morning, butits altitude above the eastern horizon during evening twilight gradually increases until it is onthe meridian at evening twilight. From then onwards the body is observable above the westernhorizon, its altitude at evening twilight gradually decreasing, until it becomes too close to theSun for observation. When it again becomes visible, it is seen in the morning twilight, low inthe east. Its altitude at morning twilight gradually increases until meridian passage occurs atthe time of morning twilight, then as the time of meridian passage decreases to 0h, the bodyis observable in the west in the morning twilight with a gradually decreasing altitude, until itonce again reaches opposition.

Notes on the visibility of the planets are given on page 7. Further information on thevisibility of planets may be obtained from the diagram below which shows, in graphical formfor any date during the year, the declinations of the bodies plotted on the planet diagram onpage 9.

JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC.S30o

S20o

S10o

0o

N10o

N20o

N30o

SUN

SUN

ME

RC

UR

Y

ME

RC

UR

Y

VEN

US

VENUS

MARS

MARS

JUPITER

SATURN

DECLINATION OF SUN AND PLANETS, 2018DECLINATION OF SUN AND PLANETS, 2018DECLINATION OF SUN AND PLANETS, 2018DECLINATION OF SUN AND PLANETS, 2018


PLANETS, 2018 9

00h

h00

00h

h00

02h

h02

02h

h02

04h

h04

04h

h04

06h

h06

08h

08h

h08

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h10

10h

h10

12h

h12

12h

h12

14h

h14

14h

h14

16h

h16

16h

h16

h18

18h

20h

h20

20h

h20

22h

h22

22h

h22

SUN

LOCAL MEAN TIME OF MERIDIAN PASSAGE LOCAL MEAN TIME OF MERIDIAN PASSAGE LOCAL MEAN TIME OF MERIDIAN PASSAGE LOCAL MEAN TIME OF MERIDIAN PASSAGE

LOCAL MEAN TIME OF MERIDIAN PASSAGELOCAL MEAN TIME OF MERIDIAN PASSAGELOCAL MEAN TIME OF MERIDIAN PASSAGELOCAL MEAN TIME OF MERIDIAN PASSAGE

JAN

UA

RY

JAN

UA

RY

1010

JAN

UA

RY

JAN

UA

RY

2020

JAN

UA

RY

JAN

UA

RY

FEB

RU

AR

Y

FEB

RU

AR

Y

1010

FEB

RU

AR

Y

FEB

RU

AR

Y

2020

FEB

RU

AR

Y

FEB

RU

AR

Y

MA

RC

H

MA

RC

H

1010 MA

RC

H

MA

RC

H

2020

MA

RC

H

MA

RC

H

APR

IL

APR

IL

1010 APR

IL

APR

IL 2020

APR

IL

APR

IL

MA

Y

MA

Y

1010

MA

Y

MA

Y 2020

MA

Y

MA

Y

JUN

E

JUN

E

1010 JUN

E

JUN

E 2020

JUN

E

JUN

E

JUL

Y

JUL

Y

1010 JUL

Y

JUL

Y 2020

JUL

Y

JUL

Y

AU

GU

ST

AU

GU

ST

1010 AU

GU

ST

AU

GU

ST 2020

AU

GU

ST

AU

GU

ST

SEPT

EM

BE

R

SEPT

EM

BE

R

1010

SEPT

EM

BE

R

SEPT

EM

BE

R

2020

SEPT

EM

BE

R

SEPT

EM

BE

R

OC

TO

BE

R

OC

TO

BE

R

1010

OC

TO

BE

R

OC

TO

BE

R

2020

OC

TO

BE

R

OC

TO

BE

R

NO

VE

MB

ER

NO

VE

MB

ER

1010

NO

VE

MB

ER

NO

VE

MB

ER

2020

NO

VE

MB

ER

NO

VE

MB

ER

DE

CE

MB

ER

DE

CE

MB

ER

1010

DE

CE

MB

ER

DE

CE

MB

ER

2020

DE

CE

MB

ER

DE

CE

MB

ER

0000

0101

0202

0303

0404

0505

0606

0707

0808

0909

1010

1111

1212

1313

1414

1515

1616

1717

1818

1919

2020

2121

2222

2323

24h

24h

ME

RC

UR

YV

EN

US

MA

RS

MA

RS

JUPI

TER

JUPI

TE

R

SATU

RN

SATU

RN


PHENOMENA, 201810

ELONGATIONS AND MAGNITUDES OF PLANETS AT 0h UT

Mercury Venus Mercury VenusDate Date

Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag.◦ ◦ ◦ ◦

Jan. −3 W. 22 −0·3 W. 3 −4·0 July 1 E. 24 −0·1 E. 41 −4·12 W. 23 −0·4 W. 2 −4·0 6 E. 25 +0·1 E. 42 −4·17 W. 22 −0·3 W. 1 · 11 E. 26 +0·3 E. 42 −4·1

12 W. 21 −0·3 E. 1 · 16 E. 26 +0·6 E. 43 −4·217 W. 19 −0·3 E. 2 −4·0 21 E. 24 +1·0 E. 44 −4·2

22 W. 17 −0·3 E. 3 −3·9 26 E. 21 +1·6 E. 44 −4·327 W. 14 −0·4 E. 4 −3·9 31 E. 15 +2·6 E. 45 −4·3

Feb. 1 W. 12 −0·6 E. 6 −3·9 Aug. 5 E. 9 +4·3 E. 45 −4·36 W. 9 −0·8 E. 7 −3·9 10 W. 5 +5·3 E. 46 −4·4

11 W. 5 −1·2 E. 8 −3·9 15 W. 10 +3·3 E. 46 −4·4

16 W. 2 −1·6 E. 9 −3·9 20 W. 16 +1·4 E. 46 −4·521 E. 3 −1·6 E. 10 −3·9 25 W. 18 +0·1 E. 46 −4·526 E. 7 −1·4 E. 12 −3·9 30 W. 18 −0·6 E. 45 −4·6

Mar. 3 E. 12 −1·2 E. 13 −3·9 Sept. 4 W. 15 −1·0 E. 45 −4·68 E. 16 −1·0 E. 14 −3·9 9 W. 11 −1·3 E. 44 −4·7

13 E. 18 −0·7 E. 15 −3·9 14 W. 7 −1·5 E. 42 −4·718 E. 18 +0·1 E. 16 −3·9 19 W. 2 −1·7 E. 40 −4·823 E. 15 +1·5 E. 18 −3·9 24 E. 3 −1·5 E. 38 −4·828 E. 9 +3·7 E. 19 −3·9 29 E. 6 −1·1 E. 35 −4·8

Apr. 2 W. 3 · E. 20 −3·9 Oct. 4 E. 10 −0·7 E. 31 −4·7

7 W. 9 +4·0 E. 21 −3·9 9 E. 13 −0·5 E. 26 −4·612 W. 17 +2·3 E. 22 −3·9 14 E. 16 −0·3 E. 20 −4·517 W. 22 +1·3 E. 24 −3·9 19 E. 18 −0·3 E. 14 −4·222 W. 25 +0·8 E. 25 −3·9 24 E. 20 −0·2 E. 8 −4·327 W. 27 +0·5 E. 26 −3·9 29 E. 22 −0·2 W. 7 ·

May 2 W. 27 +0·2 E. 27 −3·9 Nov. 3 E. 23 −0·3 W. 13 −4·27 W. 26 +0·1 E. 29 −3·9 8 E. 23 −0·3 W. 19 −4·5

12 W. 24 −0·1 E. 30 −3·9 13 E. 22 −0·1 W. 25 −4·717 W. 21 −0·4 E. 31 −3·9 18 E. 18 +0·6 W. 30 −4·822 W. 17 −0·7 E. 32 −3·9 23 E. 10 +2·6 W. 35 −4·8

27 W. 12 −1·1 E. 33 −3·9 28 W. 2 · W. 38 −4·9June 1 W. 6 −1·7 E. 34 −3·9 Dec. 3 W. 12 +1·7 W. 41 −4·9

6 W. 1 −2·4 E. 36 −4·0 8 W. 19 0·0 W. 43 −4·811 E. 6 −1·7 E. 37 −4·0 13 W. 21 −0·4 W. 44 −4·816 E. 12 −1·1 E. 38 −4·0 18 W. 21 −0·5 W. 45 −4·8

21 E. 17 −0·7 E. 39 −4·0 23 W. 20 −0·4 W. 46 −4·726 E. 21 −0·4 E. 40 −4·0 28 W. 18 −0·4 W. 47 −4·7

July 1 E. 24 −0·1 E. 41 −4·1 33 W. 16 −0·4 W. 47 −4·6

SELECTED DWARF AND MINOR PLANETS

Conjunction Stationary Opposition Stationary

Ceres . . . . . . Oct. 7 — | Jan. 31 Mar. 20Pallas . . . . . . Aug. 7 — — —Juno . . . . . . Feb. 14 Oct. 16 Nov. 17 Dec. 27Vesta . . . . . . — May 8 June 19 Aug. 1Pluto . . . . . . Jan. 9 Apr. 23 July 12 Sept. 30


PHENOMENA, 2018 11

ELONGATIONS AND MAGNITUDES OF PLANETS AT 0h UT

Mars Jupiter Saturn Uranus NeptuneDate

Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag.◦ ◦ ◦ ◦ ◦

Jan. −8 W. 53 +1·5 W. 46 −1·8 W. 1 +0·4 E. 113 +5·8 E. 70 +7·92 W. 57 +1·5 W. 54 −1·8 W. 10 +0·5 E. 103 +5·8 E. 60 +7·9

12 W. 61 +1·4 W. 63 −1·9 W. 19 +0·5 E. 93 +5·8 E. 50 +7·922 W. 65 +1·3 W. 72 −1·9 W. 28 +0·5 E. 83 +5·8 E. 41 +7·9

Feb. 1 W. 69 +1·2 W. 81 −2·0 W. 37 +0·6 E. 73 +5·8 E. 31 +8·0

11 W. 73 +1·1 W. 90 −2·0 W. 46 +0·6 E. 63 +5·8 E. 21 +8·021 W. 77 +0·9 W. 99 −2·1 W. 56 +0·6 E. 53 +5·9 E. 11 +8·0

Mar. 3 W. 81 +0·8 W. 109 −2·2 W. 65 +0·6 E. 44 +5·9 E. 2 +8·013 W. 85 +0·6 W. 119 −2·2 W. 74 +0·5 E. 34 +5·9 W. 8 +8·023 W. 89 +0·4 W. 129 −2·3 W. 84 +0·5 E. 25 +5·9 W. 18 +8·0

Apr. 2 W. 94 +0·3 W. 140 −2·4 W. 93 +0·5 E. 15 +5·9 W. 27 +8·012 W. 98 +0·1 W. 151 −2·4 W. 103 +0·4 E. 6 +5·9 W. 37 +8·022 W. 103 −0·2 W. 161 −2·5 W. 113 +0·4 W. 3 +5·9 W. 46 +7·9

May 2 W. 108 −0·4 W. 172 −2·5 W. 123 +0·3 W. 12 +5·9 W. 56 +7·912 W. 113 −0·7 E. 177 −2·5 W. 133 +0·3 W. 21 +5·9 W. 65 +7·9

22 W. 119 −0·9 E. 166 −2·5 W. 143 +0·2 W. 31 +5·9 W. 75 +7·9June 1 W. 125 −1·2 E. 155 −2·5 W. 153 +0·2 W. 40 +5·9 W. 84 +7·9

11 W. 132 −1·5 E. 145 −2·4 W. 163 +0·1 W. 49 +5·9 W. 94 +7·921 W. 140 −1·8 E. 134 −2·4 W. 173 +0·1 W. 58 +5·9 W. 103 +7·9

July 1 W. 150 −2·2 E. 124 −2·3 E. 176 0·0 W. 67 +5·8 W. 113 +7·9

11 W. 160 −2·5 E. 115 −2·2 E. 166 +0·1 W. 76 +5·8 W. 122 +7·921 W. 170 −2·7 E. 105 −2·2 E. 156 +0·1 W. 86 +5·8 W. 132 +7·831 E. 172 −2·8 E. 96 −2·1 E. 146 +0·2 W. 95 +5·8 W. 142 +7·8

Aug. 10 E. 162 −2·6 E. 87 −2·1 E. 136 +0·2 W. 105 +5·8 W. 151 +7·820 E. 151 −2·4 E. 79 −2·0 E. 126 +0·3 W. 114 +5·8 W. 161 +7·8

30 E. 142 −2·2 E. 70 −1·9 E. 116 +0·4 W. 124 +5·7 W. 171 +7·8Sept. 9 E. 133 −1·9 E. 62 −1·9 E. 106 +0·4 W. 134 +5·7 E. 178 +7·8

19 E. 126 −1·6 E. 54 −1·8 E. 97 +0·4 W. 144 +5·7 E. 169 +7·829 E. 119 −1·4 E. 46 −1·8 E. 87 +0·5 W. 154 +5·7 E. 159 +7·8

Oct. 9 E. 114 −1·1 E. 38 −1·8 E. 78 +0·5 W. 164 +5·7 E. 149 +7·8

19 E. 109 −0·9 E. 30 −1·8 E. 68 +0·5 W. 175 +5·7 E. 139 +7·829 E. 104 −0·7 E. 22 −1·7 E. 59 +0·6 E. 175 +5·7 E. 128 +7·8

Nov. 8 E. 100 −0·5 E. 14 −1·7 E. 50 +0·6 E. 164 +5·7 E. 118 +7·918 E. 96 −0·3 E. 7 −1·7 E. 41 +0·6 E. 154 +5·7 E. 108 +7·928 E. 92 −0·1 W. 2 −1·7 E. 32 +0·5 E. 144 +5·7 E. 98 +7·9

Dec. 8 E. 88 +0·1 W. 9 −1·7 E. 23 +0·5 E. 133 +5·7 E. 88 +7·918 E. 85 +0·2 W. 17 −1·7 E. 14 +0·5 E. 123 +5·7 E. 78 +7·928 E. 81 +0·4 W. 25 −1·8 E. 5 +0·5 E. 112 +5·8 E. 68 +7·938 E. 78 +0·5 W. 33 −1·8 W. 4 +0·5 E. 102 +5·8 E. 58 +7·9

VISUAL MAGNITUDES OF SELECTED DWARF & MINOR PLANETS

Jan. 2 Feb. 11 Mar. 23 May 2 June 11 July 21 Aug. 30 Oct. 9 Nov. 18 Dec. 28

Ceres 7·4 7·0 7·8 8·4 8·7 8·8 8·7 8·5 8·8 8·9Pallas 8·7 9·0 9·1 9·1 9·0 8·8 8·8 9·0 9·1 9·0Juno 10·7 10·3 10·3 10·2 10·0 9·5 8·9 8·1 7·4 8·1Vesta 7·9 7·6 7·2 6·4 5·5 6·1 6·9 7·5 7·9 8·0Pluto 14·6 14·6 14·7 14·6 14·5 14·5 14·6 14·7 14·7 14·6


DIARY OF PHENOMENA, 201812

CONFIGURATIONS OF SUN, MOON AND PLANETS

d hJan. 1 20 Mercury greatest elong. W. (23◦)

1 22 Moon at perigee

2 02 FULL MOON

2 21 Uranus stationary3 06 Earth at perihelion5 08 Regulus 0◦.9 S. of Moon Occn.7 04 Mars 0◦.2 S. of Jupiter

8 22 LAST QUARTER

9 07 Venus in superior conjunction9 10 Pluto in conjunction with Sun

11 06 Jupiter 4◦ S. of Moon11 10 Mars 5◦ S. of Moon12 04 Vesta 0◦.4 N. of Moon Occn.13 07 Mercury 0◦.6 S. of Saturn15 02 Moon at apogee15 02 Saturn 3◦ S. of Moon15 07 Mercury 3◦ S. of Moon

17 02 NEW MOON

20 20 Neptune 1◦.6 N. of Moon24 01 Uranus 5◦ N. of Moon

24 22 FIRST QUARTER

27 11 Aldebaran 0◦.7 S. of Moon Occn.30 10 Moon at perigee31 13 Ceres at opposition

31 13 FULL MOON Eclipse

Feb. 1 19 Regulus 1◦.0 S. of Moon Occn.

7 16 LAST QUARTER

7 20 Jupiter 4◦ S. of Moon9 05 Mars 4◦ S. of Moon9 13 Vesta 0◦.9 N. of Moon Occn.

10 15 Mars 5◦ N. of Antares11 14 Moon at apogee11 15 Saturn 2◦ S. of Moon14 11 Juno in conjunction with Sun

15 21 NEW MOON Eclipse

17 12 Mercury in superior conjunction20 08 Uranus 5◦ N. of Moon

23 08 FIRST QUARTER

23 18 Aldebaran 0◦.7 S. of Moon Occn.27 15 Moon at perigee

Mar. 1 06 Regulus 0◦.9 S. of Moon Occn.

2 01 FULL MOON

4 14 Neptune in conjunction with Sun5 18 Mercury 1◦.4 N. of Venus7 07 Jupiter 4◦ S. of Moon9 10 Jupiter stationary

9 11 LAST QUARTER

10 01 Mars 4◦ S. of Moon

d hMar. 11 02 Saturn 2◦ S. of Moon

11 09 Moon at apogee15 15 Mercury greatest elong. E. (18◦)17 13 NEW MOON

18 01 Mercury 4◦N. of Venus18 18 Mercury 8◦N. of Moon18 19 Venus 4◦ N. of Moon19 16 Uranus 5◦N. of Moon20 16 Equinox20 21 Ceres stationary22 17 Mercury stationary22 23 Aldebaran 0◦.9 S. of Moon Occn.24 16 FIRST QUARTER

26 17 Moon at perigee28 14 Regulus 1◦.0 S. of Moon Occn.31 13 FULL MOON

Apr. 1 18 Mercury in inferior conjunction2 12 Mars 1◦.3 S. of Saturn3 14 Jupiter 4◦ S. of Moon7 13 Saturn 1◦.9 S. of Moon7 18 Mars 3◦ S. of Moon8 06 Moon at apogee8 07 LAST QUARTER

12 23 Neptune 1◦.9 N. of Moon14 04 Mercury stationary14 09 Mercury 4◦N. of Moon16 02 NEW MOON

17 19 Venus 5◦ N. of Moon18 02 Saturn stationary18 14 Uranus in conjunction with Sun19 05 Aldebaran 1◦.1 S. of Moon Occn.20 15 Moon at perigee22 22 FIRST QUARTER

23 02 Pluto stationary24 20 Regulus 1◦.2 S. of Moon Occn.29 18 Mercury greatest elong. W. (27◦)30 01 FULL MOON

30 17 Jupiter 4◦ S. of MoonMay 3 17 Venus 7◦N. of Aldebaran

4 20 Saturn 1◦.7 S. of Moon6 01 Moon at apogee6 07 Mars 3◦ S. of Moon8 02 LAST QUARTER

8 10 Vesta stationary9 01 Jupiter at opposition

10 09 Neptune 2◦N. of Moon12 21 Mercury 2◦ S. of Uranus13 15 Uranus 5◦ N. of Moon13 17 Mercury 2◦N. of Moon15 12 NEW MOON


DIARY OF PHENOMENA, 2018 13


d hMay 16 13 Aldebaran 1◦.2 S. of Moon Occn.

17 18 Venus 5◦ N. of Moon17 21 Moon at perigee

22 04 FIRST QUARTER

27 18 Jupiter 4◦ S. of Moon

29 14 FULL MOON

June 1 01 Saturn 1◦.6 S. of Moon2 17 Moon at apogee3 12 Mars 3◦ S. of Moon6 02 Mercury in superior conjunction6 18 Neptune 2◦ N. of Moon

6 19 LAST QUARTER

9 01 Venus 5◦ S. of Pollux10 03 Uranus 5◦ N. of Moon

13 20 NEW MOON

15 00 Moon at perigee16 13 Venus 2◦ N. of Moon19 12 Neptune stationary19 20 Vesta at opposition

20 11 FIRST QUARTER

21 10 Solstice23 19 Jupiter 4◦ S. of Moon25 16 Mercury 5◦ S. of Pollux27 09 Vesta 0◦.3 S. of Moon Occn.27 13 Saturn at opposition28 04 Saturn 1◦.8 S. of Moon

28 05 FULL MOON

28 14 Mars stationary30 03 Moon at apogee

July 1 02 Mars 5◦ S. of Moon4 00 Neptune 3◦ N. of Moon

6 08 LAST QUARTER

6 17 Earth at aphelion7 14 Uranus 5◦ N. of Moon9 20 Venus 1◦.1 N. of Regulus

10 10 Aldebaran 1◦.1 S. of Moon Occn.11 04 Jupiter stationary12 05 Mercury greatest elong. E. (26◦)12 10 Pluto at opposition


13 08 Moon at perigee14 22 Mercury 2◦ S. of Moon16 04 Venus 1◦.6 S. of Moon

19 20 FIRST QUARTER

21 00 Jupiter 4◦ S. of Moon25 06 Saturn 2◦ S. of Moon25 07 Mercury stationary27 05 Mars at opposition27 06 Moon at apogee

d hJuly 27 20 FULL MOON Eclipse

27 22 Mars 7◦ S. of Moon31 06 Neptune 3◦N. of Moon31 08 Mars closest approach

Aug. 1 23 Vesta stationary3 21 Uranus 5◦N. of Moon

4 18 LAST QUARTER

4 23 Juno 1◦.2 S. of Moon Occn.6 19 Aldebaran 1◦.1 S. of Moon Occn.7 13 Pallas in conjunction with Sun7 21 Uranus stationary9 02 Mercury in inferior conjunction

10 18 Moon at perigee


14 14 Venus 6◦ S. of Moon17 11 Jupiter 5◦ S. of Moon17 17 Venus greatest elong. E. (46◦)

18 08 FIRST QUARTER

18 12 Mercury stationary21 10 Saturn 2◦ S. of Moon23 11 Moon at apogee23 17 Mars 7◦ S. of Moon

26 12 FULL MOON

26 21 Mercury greatest elong. W. (18◦)27 10 Neptune 2◦N. of Moon28 10 Mars stationary31 03 Uranus 5◦ N. of Moon

Sept. 2 09 Venus 1◦.4 S. of Spica3 02 Aldebaran 1◦.2 S. of Moon Occn.

3 03 LAST QUARTER

5 23 Mercury 1◦.0 N. of Regulus6 10 Saturn stationary7 18 Neptune at opposition8 01 Moon at perigee

9 18 NEW MOON

12 16 Venus 10◦ S. of Moon14 02 Jupiter 4◦ S. of Moon

16 23 FIRST QUARTER

17 16 Saturn 2◦ S. of Moon20 01 Moon at apogee20 07 Mars 5◦ S. of Moon21 02 Mercury in superior conjunction21 10 Venus greatest illuminated extent23 02 Equinox23 16 Neptune 2◦N. of Moon

25 03 FULL MOON

27 07 Uranus 5◦ N. of Moon30 16 Pluto stationary

Oct. 2 10 LAST QUARTER


DIARY OF PHENOMENA, 201814


d hOct. 5 04 Venus stationary

5 18 Mercury 2◦ N. of Spica5 22 Moon at perigee7 10 Ceres in conjunction with Sun

9 04 NEW MOON

10 15 Venus 13◦ S. of Moon11 21 Jupiter 4◦ S. of Moon14 15 Mercury 7◦ N. of Venus15 03 Saturn 1◦.8 S. of Moon

16 18 FIRST QUARTER

16 18 Juno stationary17 19 Moon at apogee18 13 Mars 1◦.9 S. of Moon20 22 Neptune 3◦ N. of Moon24 01 Uranus at opposition24 13 Uranus 5◦ N. of Moon

24 17 FULL MOON

26 14 Venus in inferior conjunction30 04 Mercury 3◦ S. of Jupiter

31 17 LAST QUARTER

31 20 Moon at perigeeNov. 6 02 Venus 10◦ S. of Moon

6 15 Mercury greatest elong. E. (23◦)

7 16 NEW MOON

9 06 Mercury 1◦.8 N. of Antares9 12 Mercury 7◦ S. of Moon

11 16 Saturn 1◦.5 S. of Moon12 18 Pluto 0◦.9 S. of Moon Occn.14 03 Venus stationary14 16 Moon at apogee

15 15 FIRST QUARTER

16 04 Mars 1◦.0 N. of Moon Occn.

d hNov. 17 05 Mercury stationary

17 06 Neptune 3◦ N. of Moon17 22 Juno at opposition20 20 Uranus 5◦ N. of Moon

23 06 FULL MOON

25 08 Neptune stationary26 07 Jupiter in conjunction with Sun26 12 Moon at perigee27 09 Mercury in inferior conjunction

30 00 LAST QUARTER

Dec. 2 00 Venus greatest illuminated extent3 19 Venus 4◦ S. of Moon5 21 Mercury 1◦.9 S. of Moon6 20 Mercury stationary

7 07 NEW MOON

7 15 Mars 0◦.04 N. of Neptune9 05 Saturn 1◦.1 S. of Moon Occn.

10 04 Pluto 0◦.7 S. of Moon Occn.12 12 Moon at apogee14 14 Neptune 3◦ N. of Moon14 23 Mars 4◦ N. of Moon

15 12 FIRST QUARTER

15 12 Mercury greatest elong. W. (21◦)18 04 Uranus 5◦ N. of Moon20 02 Jupiter 5◦ N. of Antares21 08 Mercury 6◦ N. of Antares21 15 Mercury 0◦.9 N. of Jupiter21 22 Solstice

22 18 FULL MOON

24 10 Moon at perigee27 15 Juno stationary

29 10 LAST QUARTER

PREDICTED PERIHELION PASSAGES OF COMETS, 2018Periodic comet Perihelion Period

date distanceT q(au) P (yr)

130P/McNaught-Hughes Jan. 21 1·82 6·274P/Smirnova-Chernykh Jan. 26 3·54 8·5

185P/Petriew Jan. 27 0·93 5·5197P/LINEAR Jan. 28 1·06 4·8169P/NEAT Apr. 29 0·60 4·2

37P/Forbes May 4 1·61 6·4143P/Kowal-Mrkos May 7 2·53 8·966P/du Toit May 19 1·29 14·9

107P/Wilson-Harrington May 23 0·97 4·3164P/Christensen May 31 1·69 7·0

49P/Arend-Rigaux July 15 1·43 6·7P/2007 T2 (Kowalski) July 21 0·66 5·3

Periodic comet Perihelion Perioddate distanceT q(au) P (yr)

48P/Johnson Aug. 12 2·00 6·5125P/Spacewatch Aug. 27 1·52 5·5

21P/Giacobini-Zinner Sept. 10 1·01 6·559P/Kearns-Kwee Sept. 16 2·36 9·526P/Grigg-Skjellerup Oct. 1 1·08 5·2

P/2001 R6 (LINEAR-Skiff) Oct. 4 2·19 8·664P/Swift-Gehrels Nov. 3 1·39 9·438P/Stephan-Oterma Nov. 10 1·59 38·060P/Tsuchinshan Dec. 11 1·62 6·646P/Wirtanen Dec. 12 1·06 5·4

137P/Shoemaker-Levy Dec. 13 1·93 9·6198P/ODAS Dec. 13 2·01 6·8


CALENDAR, 2018 15

CHRONOLOGICAL CYCLES AND ERAS

Dominical Letter . . . . . . . . . . . . G Julian Period (year of) . . . . . . . . . 6731Epact . . . . . . . . . . . . . . . . . . . . . 13 Roman Indiction . . . . . . . . . . . . 11Golden Number (Lunar Cycle) . . . V Solar Cycle . . . . . . . . . . . . . . . . . . 11

All dates are given in terms of the Gregorian calendar in which2018 January 14 corresponds to 2018 January 1 of the Julian calendar.

ERA YEAR BEGINS ERA YEAR BEGINS

Byzantine . . . . . . . . . 7527 Sept. 14 Japanese . . . . . . . . . 2678 Jan. 1Jewish (A.M.)* . . . . . . 5779 Sept. 9 Seleucidæ (Grecian) . . . 2330 Sept. 14Chinese (wù xu) . . . . . . Feb. 16 (or Oct. 14)Roman (A.U.C.) . . . . . . 2771 Jan. 14 Saka (Indian) . . . . . . 1940 Mar. 22Nabonassar . . . . . . . . . 2767 Apr. 19 Diocletian (Coptic) . . . 1735 Sept. 11

Islamic (Hegira)* . . . 1440 Sept. 11* Year begins at sunset

RELIGIOUS CALENDARS

Epiphany . . . . . . . . . . . . . . . Jan. 6 Ascension Day . . . . . . . . . . . . May 10Ash Wednesday . . . . . . . . . Feb. 14 Whit Sunday—Pentecost . . . May 20Palm Sunday . . . . . . . . . . . . Mar. 25 Trinity Sunday . . . . . . . . . . . . May 27Good Friday . . . . . . . . . . . . Mar. 30 First Sunday in Advent . . . . . . Dec. 2Easter Day . . . . . . . . . . . . . . . Apr. 1 Christmas Day (Tuesday) . . . Dec. 25

First Day of Passover (Pesach) Mar. 31 Day of Atonement (Yom Kippur) Sept. 19Feast of Weeks (Shavuot) . . . May 20 First day of TabernaclesJewish New Year‡ (Succoth) . . . . . . . . . . . . Sept. 24

(Rosh Hashanah) . . . . . . . . . Sept. 10 Festival of Lights (Hanukkah) Dec. 3

First day of Ramadân‡ . . . . . . May 16 Islamic New Year‡ . . . . . . . . . Sept. 12First day of Shawwal‡ . . . . . . June 15

‡The Jewish and Islamic dates above are tabular dates, which begin at sunset on the previousevening and end at sunset on the date tabulated. In practice, the dates of Islamic fasts and festivalsare determined by an actual sighting of the appropriate new Moon.

CIVIL CALENDAR—UNITED STATES OF AMERICA

New Year’s Day . . . . . . . . . Jan. 1 Labor Day . . . . . . . . . . . . . . . Sept. 3Martin Luther King’s Birthday Jan. 15 Columbus Day . . . . . . . . . . . . Oct. 8Washington’s Birthday . . . . . . Feb. 19 General Election Day . . . . . . Nov. 6Memorial Day . . . . . . . . . . . . May 28 Veterans Day . . . . . . . . . . . . Nov. 11Independence Day . . . . . . . . . July 4 Thanksgiving Day . . . . . . . . . Nov. 22

CIVIL CALENDAR—UNITED KINGDOM

Accession of Queen Elizabeth II Feb. 6 The Queen’s Official Birthday† June 9St David (Wales) . . . . . . . . . Mar. 1 Birthday of Prince Philip,Commonwealth Day . . . . . . Mar. 12 Duke of Edinburgh . . . . . . June 10St Patrick (Ireland) . . . . . . . . . Mar. 17 Remembrance Sunday . . . . . . Nov. 11Birthday of Queen Elizabeth II Apr. 21 Birthday of the Prince of Wales Nov. 14St George (England) . . . . . . Apr. 23 St Andrew (Scotland) . . . . . . Nov. 30Coronation Day . . . . . . . . . . . . June 2

†Date subject to confirmation


CALENDAR, 201816

JANUARY FEBRUARY MARCH APRIL MAY JUNE

Day Day Day Day Day Day Day Day Day Day Day Day Dayof of of of of of of of of of of of of

Month Week Year Week Year Week Year Week Year Week Year Week Year

1 Mon. 1 Thu. 32 Thu. 60 Sun. 91 Tue. 121 Fri. 1522 Tue. 2 Fri. 33 Fri. 61 Mon. 92 Wed. 122 Sat. 1533 Wed. 3 Sat. 34 Sat. 62 Tue. 93 Thu. 123 Sun. 1544 Thu. 4 Sun. 35 Sun. 63 Wed. 94 Fri. 124 Mon. 1555 Fri. 5 Mon. 36 Mon. 64 Thu. 95 Sat. 125 Tue. 156

6 Sat. 6 Tue. 37 Tue. 65 Fri. 96 Sun. 126 Wed. 1577 Sun. 7 Wed. 38 Wed. 66 Sat. 97 Mon. 127 Thu. 1588 Mon. 8 Thu. 39 Thu. 67 Sun. 98 Tue. 128 Fri. 1599 Tue. 9 Fri. 40 Fri. 68 Mon. 99 Wed. 129 Sat. 160

10 Wed. 10 Sat. 41 Sat. 69 Tue. 100 Thu. 130 Sun. 161

11 Thu. 11 Sun. 42 Sun. 70 Wed. 101 Fri. 131 Mon. 16212 Fri. 12 Mon. 43 Mon. 71 Thu. 102 Sat. 132 Tue. 16313 Sat. 13 Tue. 44 Tue. 72 Fri. 103 Sun. 133 Wed. 16414 Sun. 14 Wed. 45 Wed. 73 Sat. 104 Mon. 134 Thu. 16515 Mon. 15 Thu. 46 Thu. 74 Sun. 105 Tue. 135 Fri. 166

16 Tue. 16 Fri. 47 Fri. 75 Mon. 106 Wed. 136 Sat. 16717 Wed. 17 Sat. 48 Sat. 76 Tue. 107 Thu. 137 Sun. 16818 Thu. 18 Sun. 49 Sun. 77 Wed. 108 Fri. 138 Mon. 16919 Fri. 19 Mon. 50 Mon. 78 Thu. 109 Sat. 139 Tue. 17020 Sat. 20 Tue. 51 Tue. 79 Fri. 110 Sun. 140 Wed. 171

21 Sun. 21 Wed. 52 Wed. 80 Sat. 111 Mon. 141 Thu. 17222 Mon. 22 Thu. 53 Thu. 81 Sun. 112 Tue. 142 Fri. 17323 Tue. 23 Fri. 54 Fri. 82 Mon. 113 Wed. 143 Sat. 17424 Wed. 24 Sat. 55 Sat. 83 Tue. 114 Thu. 144 Sun. 17525 Thu. 25 Sun. 56 Sun. 84 Wed. 115 Fri. 145 Mon. 176

26 Fri. 26 Mon. 57 Mon. 85 Thu. 116 Sat. 146 Tue. 17727 Sat. 27 Tue. 58 Tue. 86 Fri. 117 Sun. 147 Wed. 17828 Sun. 28 Wed. 59 Wed. 87 Sat. 118 Mon. 148 Thu. 17929 Mon. 29 Thu. 88 Sun. 119 Tue. 149 Fri. 18030 Tue. 30 Fri. 89 Mon. 120 Wed. 150 Sat. 181

31 Wed. 31 Sat. 90 Thu. 151

JULIAN DATE, 2018

0h UT JD 0h UT JD 0h UT JDJan. 0 245 8118·5 May 0 245 8238·5 Sept. 0 245 8361·5Feb. 0 245 8149·5 June 0 245 8269·5 Oct. 0 245 8391·5Mar. 0 245 8177·5 July 0 245 8299·5 Nov. 0 245 8422·5Apr. 0 245 8208·5 Aug. 0 245 8330·5 Dec. 0 245 8452·5

400-day date, JD 245 8400·5 = 2018 October 9·0

Standard epoch, 1900 January 0, 12h UT = JD 241 5020·0Standard epoch, B1950·0 = 1950 Jan. 0·923 = JD 243 3282·423

B2018·0 = 2018 Jan. 0·393 = JD 245 8118·893

Standard epoch, J2000·0 = 2000 Jan. 1·5 = JD 245 1545·0J2018·5 = 2018 July 2·625 = JD 245 8302·125


CALENDAR, 2018 17

JULY AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER

Day Day Day Day Day Day Day Day Day Day Day Day Dayof of of of of of of of of of of of of

Month Week Year Week Year Week Year Week Year Week Year Week Year

1 Sun. 182 Wed. 213 Sat. 244 Mon. 274 Thu. 305 Sat. 3352 Mon. 183 Thu. 214 Sun. 245 Tue. 275 Fri. 306 Sun. 3363 Tue. 184 Fri. 215 Mon. 246 Wed. 276 Sat. 307 Mon. 3374 Wed. 185 Sat. 216 Tue. 247 Thu. 277 Sun. 308 Tue. 3385 Thu. 186 Sun. 217 Wed. 248 Fri. 278 Mon. 309 Wed. 339

6 Fri. 187 Mon. 218 Thu. 249 Sat. 279 Tue. 310 Thu. 3407 Sat. 188 Tue. 219 Fri. 250 Sun. 280 Wed. 311 Fri. 3418 Sun. 189 Wed. 220 Sat. 251 Mon. 281 Thu. 312 Sat. 3429 Mon. 190 Thu. 221 Sun. 252 Tue. 282 Fri. 313 Sun. 343

10 Tue. 191 Fri. 222 Mon. 253 Wed. 283 Sat. 314 Mon. 344

11 Wed. 192 Sat. 223 Tue. 254 Thu. 284 Sun. 315 Tue. 34512 Thu. 193 Sun. 224 Wed. 255 Fri. 285 Mon. 316 Wed. 34613 Fri. 194 Mon. 225 Thu. 256 Sat. 286 Tue. 317 Thu. 34714 Sat. 195 Tue. 226 Fri. 257 Sun. 287 Wed. 318 Fri. 34815 Sun. 196 Wed. 227 Sat. 258 Mon. 288 Thu. 319 Sat. 349

16 Mon. 197 Thu. 228 Sun. 259 Tue. 289 Fri. 320 Sun. 35017 Tue. 198 Fri. 229 Mon. 260 Wed. 290 Sat. 321 Mon. 35118 Wed. 199 Sat. 230 Tue. 261 Thu. 291 Sun. 322 Tue. 35219 Thu. 200 Sun. 231 Wed. 262 Fri. 292 Mon. 323 Wed. 35320 Fri. 201 Mon. 232 Thu. 263 Sat. 293 Tue. 324 Thu. 354

21 Sat. 202 Tue. 233 Fri. 264 Sun. 294 Wed. 325 Fri. 35522 Sun. 203 Wed. 234 Sat. 265 Mon. 295 Thu. 326 Sat. 35623 Mon. 204 Thu. 235 Sun. 266 Tue. 296 Fri. 327 Sun. 35724 Tue. 205 Fri. 236 Mon. 267 Wed. 297 Sat. 328 Mon. 35825 Wed. 206 Sat. 237 Tue. 268 Thu. 298 Sun. 329 Tue. 359

26 Thu. 207 Sun. 238 Wed. 269 Fri. 299 Mon. 330 Wed. 36027 Fri. 208 Mon. 239 Thu. 270 Sat. 300 Tue. 331 Thu. 36128 Sat. 209 Tue. 240 Fri. 271 Sun. 301 Wed. 332 Fri. 36229 Sun. 210 Wed. 241 Sat. 272 Mon. 302 Thu. 333 Sat. 36330 Mon. 211 Thu. 242 Sun. 273 Tue. 303 Fri. 334 Sun. 364

31 Tue. 212 Fri. 243 Wed. 304 Mon. 365

MEAN SIDEREAL TIME, 2018

Greenwich mean sidereal time at 0h UTh h h h

Jan. 0 6·6409 Apr. 0 12·5548 July 0 18·5344 Oct. 0 0·5797Feb. 0 8·6779 May 0 14·5261 Aug. 0 20·5714 Nov. 0 2·6167Mar. 0 10·5178 June 0 16·5631 Sept. 0 22·6084 Dec. 0 4·5880

Greenwich mean sidereal time (GMST) on day d of month at hour t UT

= GMST at 0h UT on day 0+ 0h.065 71 d + 1h.002 74 t

Local mean sidereal time = GMST + east− west longitude


THE SUN, 201818

AT 0h UNIVERSAL TIME

Equation Declin- Equation Declin- Equation Declin- Equation Declin-Date of time ation Date of time ation Date of time ation Date of time ation

m s ◦ ′ m s ◦ ′ m s ◦ ′ m s ◦ ′

Jan. 0 −02 51 −23 06 Feb. 15 −14 08 −12 46 Apr. 1 −04 01 +04 26 May17 +03 38 +19 161 03 20 23 01 16 14 05 12 25 2 03 43 04 49 18 03 36 19 292 03 48 22 56 17 14 01 12 05 3 03 25 05 12 19 03 33 19 423 04 16 22 51 18 13 57 11 43 4 03 08 05 35 20 03 30 19 554 04 43 22 45 19 13 52 11 22 5 02 50 05 58 21 03 26 20 08

5 −05 10 −22 38 20 −13 46 −11 01 6 −02 33 +06 21 22 +03 22 +20 206 05 37 22 31 21 13 39 10 39 7 02 16 06 43 23 03 18 20 327 06 03 22 24 22 13 32 10 18 8 01 59 07 06 24 03 13 20 438 06 29 22 16 23 13 25 09 56 9 01 43 07 28 25 03 07 20 549 06 54 22 08 24 13 16 09 34 10 01 26 07 51 26 03 01 21 05

10 −07 19 −22 00 25 −13 07 −09 11 11 −01 10 +08 13 27 +02 55 +21 1511 07 43 21 50 26 12 58 08 49 12 00 55 08 35 28 02 48 21 2512 08 06 21 41 27 12 47 08 27 13 00 39 08 57 29 02 40 21 3413 08 29 21 31 28 12 37 08 04 14 00 24 09 19 30 02 32 21 4414 08 52 21 21 Mar. 1 12 25 07 41 15 −00 09 09 40 31 02 24 21 52

15 −09 14 −21 10 2 −12 14 −07 18 16 +00 05 +10 01 June 1 +02 15 +22 0116 09 35 20 59 3 12 01 06 56 17 00 19 10 23 2 02 06 22 0917 09 55 20 47 4 11 48 06 33 18 00 33 10 44 3 01 56 22 1718 10 15 20 36 5 11 35 06 09 19 00 46 11 05 4 01 47 22 2419 10 34 20 23 6 11 22 05 46 20 00 59 11 25 5 01 36 22 31

20 −10 52 −20 11 7 −11 08 −05 23 21 +01 11 +11 46 6 +01 26 +22 3721 11 10 19 57 8 10 53 05 00 22 01 23 12 06 7 01 15 22 4322 11 26 19 44 9 10 38 04 36 23 01 35 12 26 8 01 03 22 4923 11 42 19 30 10 10 23 04 13 24 01 46 12 46 9 00 52 22 5424 11 58 19 16 11 10 08 03 49 25 01 57 13 06 10 00 40 22 59

25 −12 12 −19 01 12 −09 52 −03 26 26 +02 07 +13 26 11 +00 28 +23 0426 12 26 18 47 13 09 36 03 02 27 02 17 13 45 12 00 16 23 0827 12 38 18 31 14 09 20 02 38 28 02 26 14 04 13 +00 03 23 1128 12 50 18 16 15 09 03 02 15 29 02 35 14 23 14 −00 10 23 1529 13 01 18 00 16 08 46 01 51 30 02 43 14 41 15 00 22 23 18

30 −13 12 −17 44 17 −08 29 −01 27 May 1 +02 51 +15 00 16 −00 35 +23 2031 13 21 17 27 18 08 12 01 04 2 02 58 15 18 17 00 48 23 22

Feb. 1 13 30 17 10 19 07 55 00 40 3 03 05 15 36 18 01 01 23 242 13 37 16 53 20 07 37 −00 16 4 03 11 15 53 19 01 15 23 253 13 44 16 36 21 07 20 +00 08 5 03 16 16 10 20 01 28 23 26

4 −13 51 −16 18 22 −07 02 +00 31 6 +03 21 +16 27 21 −01 41 +23 265 13 56 16 00 23 06 44 00 55 7 03 26 16 44 22 01 54 23 266 14 01 15 42 24 06 26 01 19 8 03 30 17 01 23 02 07 23 267 14 04 15 23 25 06 08 01 42 9 03 33 17 17 24 02 20 23 258 14 08 15 04 26 05 50 02 06 10 03 35 17 33 25 02 32 23 23

9 −14 10 −14 45 27 −05 32 +02 29 11 +03 38 +17 49 26 −02 45 +23 2210 14 11 14 26 28 05 13 02 53 12 03 39 18 04 27 02 58 23 2011 14 12 14 07 29 04 55 03 16 13 03 40 18 19 28 03 10 23 1712 14 12 13 47 30 04 37 03 40 14 03 40 18 34 29 03 22 23 1413 14 11 13 27 31 04 19 04 03 15 03 40 18 48 30 03 34 23 11

14 −14 10 −13 07 Apr. 1 −04 01 +04 26 16 +03 39 +19 02 July 1 −03 46 +23 0715 −14 08 −12 46 2 −03 43 +04 49 17 +03 38 +19 16 2 −03 57 +23 03

Equation of time = apparent time−mean time


THE SUN, 2018 19


Equation Declin- Equation Declin- Equation Declin- Equation Declin-Date of time ation Date of time ation Date of time ation Date of time ation

m s ◦ ′ m s ◦ ′ m s ◦ ′ m s ◦ ′

July 1 −03 46 +23 07 Aug. 16 −04 24 +13 49 Oct. 1 +10 11 −03 05 Nov.16 +15 20 −18 402 03 57 23 03 17 04 11 13 30 2 10 30 03 28 17 15 09 18 553 04 08 22 59 18 03 58 13 11 3 10 49 03 51 18 14 57 19 094 04 19 22 54 19 03 45 12 51 4 11 08 04 14 19 14 44 19 235 04 30 22 48 20 03 31 12 32 5 11 26 04 38 20 14 31 19 37

6 −04 40 +22 43 21 −03 17 +12 12 6 +11 44 −05 01 21 +14 16 −19 517 04 50 22 36 22 03 02 11 52 7 12 02 05 24 22 14 01 20 048 05 00 22 30 23 02 46 11 32 8 12 19 05 47 23 13 46 20 179 05 09 22 23 24 02 30 11 11 9 12 36 06 09 24 13 29 20 29

10 05 18 22 16 25 02 14 10 51 10 12 52 06 32 25 13 12 20 41

11 −05 27 +22 08 26 −01 57 +10 30 11 +13 08 −06 55 26 +12 53 −20 5312 05 35 22 00 27 01 40 10 09 12 13 23 07 18 27 12 34 21 0413 05 42 21 52 28 01 23 09 48 13 13 38 07 40 28 12 15 21 1514 05 49 21 43 29 01 05 09 27 14 13 52 08 03 29 11 54 21 2515 05 56 21 34 30 00 47 09 06 15 14 06 08 25 30 11 33 21 36

16 −06 02 +21 24 31 −00 28 +08 44 16 +14 19 −08 47 Dec. 1 +11 11 −21 4517 06 08 21 14 Sept. 1 −00 10 08 22 17 14 32 09 09 2 10 49 21 5418 06 13 21 04 2 +00 10 08 01 18 14 44 09 31 3 10 26 22 0319 06 17 20 53 3 00 29 07 39 19 14 56 09 53 4 10 02 22 1220 06 21 20 42 4 00 49 07 17 20 15 07 10 14 5 09 38 22 20

21 −06 24 +20 31 5 +01 08 +06 55 21 +15 17 −10 36 6 +09 13 −22 2722 06 27 20 19 6 01 28 06 32 22 15 27 10 57 7 08 47 22 3423 06 29 20 07 7 01 49 06 10 23 15 36 11 18 8 08 21 22 4124 06 31 19 55 8 02 09 05 47 24 15 44 11 39 9 07 55 22 4725 06 32 19 42 9 02 30 05 25 25 15 52 12 00 10 07 28 22 53

26 −06 32 +19 29 10 +02 50 +05 02 26 +15 59 −12 21 11 +07 01 −22 5827 06 32 19 16 11 03 11 04 39 27 16 05 12 41 12 06 33 23 0328 06 31 19 02 12 03 32 04 17 28 16 11 13 01 13 06 05 23 0729 06 30 18 48 13 03 54 03 54 29 16 15 13 21 14 05 36 23 1130 06 28 18 34 14 04 15 03 31 30 16 19 13 41 15 05 08 23 15

31 −06 25 +18 20 15 +04 36 +03 08 31 +16 22 −14 01 16 +04 39 −23 18Aug. 1 06 22 18 05 16 04 58 02 45 Nov. 1 16 25 14 20 17 04 10 23 20

2 06 18 17 50 17 05 19 02 21 2 16 26 14 39 18 03 40 23 223 06 14 17 34 18 05 40 01 58 3 16 27 14 58 19 03 11 23 244 06 09 17 18 19 06 02 01 35 4 16 27 15 17 20 02 41 23 25

5 −06 03 +17 02 20 +06 23 +01 12 5 +16 26 −15 35 21 +02 12 −23 266 05 57 16 46 21 06 45 00 48 6 16 24 15 54 22 01 42 23 267 05 50 16 29 22 07 06 00 25 7 16 21 16 11 23 01 12 23 268 05 43 16 13 23 07 27 +00 02 8 16 18 16 29 24 00 43 23 259 05 35 15 56 24 07 48 −00 22 9 16 14 16 47 25 +00 13 23 24

10 −05 26 +15 38 25 +08 09 −00 45 10 +16 08 −17 04 26 −00 17 −23 2211 05 17 15 21 26 08 30 01 08 11 16 02 17 20 27 00 46 23 2012 05 08 15 03 27 08 51 01 32 12 15 55 17 37 28 01 16 23 1713 04 57 14 45 28 09 11 01 55 13 15 48 17 53 29 01 45 23 1414 04 47 14 26 29 09 31 02 18 14 15 39 18 09 30 02 14 23 11

15 −04 35 +14 08 30 +09 51 −02 42 15 +15 30 −18 25 31 −02 43 −23 0716 −04 24 +13 49 Oct. 1 +10 11 −03 05 16 +15 20 −18 40 32 −03 12 −23 02

UT of transit = 12h− east+ west

longitude− equation of time


CIRCUMPOLAR STARS, 201820


Polaris σ Oct Polaris σ Oct Polaris σ Oct Polaris σ OctDate GHA GHA Date GHA GHA Date GHA GHA Date GHA GHA

◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′

Jan. 0 55 42 139 03 Feb. 15 101 23 184 24 Apr. 1 146 01 228 38 May 17 191 24 273 451 56 41 140 02 16 102 22 185 23 2 147 01 229 37 18 192 22 274 442 57 41 141 01 17 103 22 186 22 3 148 00 230 35 19 193 21 275 433 58 40 142 00 18 104 22 187 21 4 148 59 231 34 20 194 20 276 414 59 40 143 00 19 105 21 188 20 5 149 59 232 33 21 195 19 277 40

5 60 39 143 59 20 106 21 189 19 6 150 58 233 32 22 196 18 278 396 61 39 144 58 21 107 21 190 19 7 151 57 234 31 23 197 17 279 387 62 39 145 57 22 108 20 191 18 8 152 57 235 30 24 198 16 280 378 63 38 146 57 23 109 20 192 17 9 153 56 236 29 25 199 15 281 369 64 38 147 56 24 110 19 193 16 10 154 55 237 28 26 200 14 282 34

10 65 37 148 55 25 111 19 194 15 11 155 55 238 26 27 201 13 283 3311 66 37 149 54 26 112 18 195 14 12 156 54 239 25 28 202 12 284 3212 67 36 150 54 27 113 18 196 13 13 157 53 240 24 29 203 11 285 3113 68 36 151 53 28 114 17 197 12 14 158 53 241 23 30 204 10 286 3014 69 35 152 52 Mar. 1 115 17 198 11 15 159 52 242 22 31 205 08 287 29

15 70 35 153 51 2 116 17 199 09 16 160 51 243 21 June 1 206 07 288 2816 71 34 154 50 3 117 16 200 08 17 161 50 244 20 2 207 06 289 2617 72 34 155 50 4 118 16 201 07 18 162 50 245 19 3 208 05 290 2518 73 34 156 49 5 119 15 202 06 19 163 49 246 17 4 209 04 291 2419 74 33 157 48 6 120 15 203 05 20 164 48 247 16 5 210 03 292 23

20 75 33 158 47 7 121 15 204 05 21 165 47 248 15 6 211 02 293 2221 76 32 159 46 8 122 14 205 03 22 166 46 249 14 7 212 01 294 2122 77 32 160 46 9 123 14 206 02 23 167 45 250 13 8 212 59 295 2023 78 32 161 45 10 124 13 207 01 24 168 45 251 12 9 213 58 296 1824 79 31 162 44 11 125 13 208 00 25 169 44 252 10 10 214 57 297 17

25 80 31 163 43 12 126 12 208 59 26 170 43 253 09 11 215 56 298 1626 81 31 164 42 13 127 12 209 58 27 171 42 254 08 12 216 55 299 1527 82 30 165 41 14 128 11 210 57 28 172 41 255 07 13 217 53 300 1428 83 30 166 41 15 129 11 211 56 29 173 41 256 06 14 218 52 301 1329 84 29 167 40 16 130 10 212 55 30 174 40 257 05 15 219 51 302 12

30 85 29 168 39 17 131 10 213 54 May 1 175 39 258 04 16 220 50 303 1131 86 28 169 38 18 132 09 214 53 2 176 38 259 02 17 221 48 304 09

Feb. 1 87 28 170 37 19 133 09 215 52 3 177 37 260 01 18 222 47 305 082 88 28 171 36 20 134 08 216 51 4 178 36 261 00 19 223 46 306 073 89 27 172 35 21 135 08 217 50 5 179 35 261 59 20 224 45 307 06

4 90 27 173 34 22 136 07 218 49 6 180 34 262 58 21 225 44 308 055 91 27 174 33 23 137 07 219 48 7 181 33 263 57 22 226 42 309 046 92 26 175 33 24 138 06 220 47 8 182 32 264 55 23 227 41 310 037 93 26 176 32 25 139 05 221 45 9 183 31 265 54 24 228 40 311 028 94 25 177 31 26 140 05 222 44 10 184 30 266 53 25 229 39 312 01

9 95 25 178 30 27 141 04 223 43 11 185 30 267 52 26 230 37 312 5910 96 25 179 29 28 142 04 224 42 12 186 29 268 51 27 231 36 313 5811 97 24 180 28 29 143 03 225 41 13 187 28 269 50 28 232 35 314 5712 98 24 181 27 30 144 02 226 40 14 188 27 270 48 29 233 33 315 5613 99 23 182 26 31 145 02 227 39 15 189 26 271 47 30 234 32 316 55

14 100 23 183 25 Apr. 1 146 01 228 38 16 190 25 272 46 July 1 235 31 317 5415 101 23 184 24 2 147 01 229 37 17 191 24 273 45 2 236 30 318 53

The dates between Jan. 0 and Dec. 32 below are the dates when p changes to the next value.

Polar Distance (p) Polaris: Jan. 0 39′ Apr. 1 40′ Nov. 8 39′ Dec. 32σ Octantis: Jan. 0 67′ Apr. 15 68′ July 3 67′ Dec. 32


CIRCUMPOLAR STARS, 2018 21


Polaris σ Oct Polaris σ Oct Polaris σ Oct Polaris σ OctDate GHA GHA Date GHA GHA Date GHA GHA Date GHA GHA

◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′ ◦ ′

July 1 235 31 317 54 Aug. 16 280 29 3 08 Oct. 1 325 30 48 33 Nov.16 10 41 94 052 236 30 318 53 17 281 28 4 08 2 326 28 49 32 17 11 41 95 043 237 28 319 52 18 282 27 5 07 3 327 27 50 32 18 12 40 96 044 238 27 320 51 19 283 25 6 06 4 328 26 51 31 19 13 39 97 035 239 26 321 50 20 284 24 7 05 5 329 25 52 30 20 14 38 98 02

6 240 25 322 49 21 285 22 8 04 6 330 24 53 30 21 15 37 99 027 241 23 323 48 22 286 21 9 03 7 331 23 54 29 22 16 37 100 018 242 22 324 47 23 287 20 10 02 8 332 22 55 28 23 17 36 101 019 243 21 325 45 24 288 18 11 02 9 333 20 56 28 24 18 35 102 00

10 244 19 326 44 25 289 17 12 01 10 334 19 57 27 25 19 34 102 59

11 245 18 327 43 26 290 16 13 00 11 335 18 58 27 26 20 33 103 5912 246 16 328 42 27 291 14 13 59 12 336 17 59 26 27 21 32 104 5813 247 15 329 41 28 292 13 14 58 13 337 16 60 25 28 22 31 105 5814 248 14 330 40 29 293 12 15 57 14 338 15 61 25 29 23 31 106 5715 249 12 331 39 30 294 11 16 57 15 339 13 62 24 30 24 30 107 56

16 250 11 332 38 31 295 09 17 56 16 340 12 63 23 Dec. 1 25 29 108 5617 251 10 333 37 Sept. 1 296 08 18 55 17 341 11 64 23 2 26 29 109 5518 252 09 334 36 2 297 07 19 54 18 342 10 65 22 3 27 28 110 5419 253 07 335 35 3 298 05 20 53 19 343 09 66 21 4 28 27 111 5420 254 06 336 34 4 299 04 21 53 20 344 08 67 21 5 29 26 112 53

21 255 05 337 33 5 300 02 22 52 21 345 07 68 20 6 30 26 113 5322 256 03 338 32 6 301 01 23 51 22 346 06 69 20 7 31 25 114 5223 257 02 339 31 7 302 00 24 50 23 347 05 70 19 8 32 24 115 5124 258 00 340 30 8 302 59 25 49 24 348 04 71 18 9 33 23 116 5125 258 59 341 29 9 303 57 26 49 25 349 03 72 18 10 34 23 117 50

26 259 58 342 28 10 304 56 27 48 26 350 02 73 17 11 35 22 118 4927 260 56 343 27 11 305 55 28 47 27 351 01 74 17 12 36 21 119 4928 261 55 344 26 12 306 54 29 46 28 352 00 75 16 13 37 21 120 4829 262 54 345 25 13 307 52 30 46 29 352 58 76 16 14 38 20 121 4730 263 52 346 24 14 308 51 31 45 30 353 57 77 15 15 39 20 122 47

31 264 51 347 23 15 309 50 32 44 31 354 56 78 14 16 40 19 123 46Aug. 1 265 50 348 22 16 310 48 33 44 Nov. 1 355 55 79 14 17 41 19 124 45

2 266 48 349 21 17 311 47 34 43 2 356 54 80 13 18 42 18 125 453 267 47 350 20 18 312 46 35 42 3 357 54 81 12 19 43 17 126 444 268 46 351 19 19 313 44 36 41 4 358 53 82 12 20 44 17 127 44

5 269 44 352 18 20 314 43 37 41 5 359 52 83 11 21 45 16 128 436 270 43 353 18 21 315 42 38 40 6 0 51 84 11 22 46 15 129 427 271 41 354 17 22 316 41 39 39 7 1 50 85 10 23 47 15 130 418 272 40 355 16 23 317 40 40 38 8 2 49 86 10 24 48 14 131 419 273 39 356 15 24 318 38 41 38 9 3 48 87 09 25 49 14 132 40

10 274 37 357 14 25 319 37 42 37 10 4 47 88 08 26 50 13 133 3911 275 36 358 13 26 320 36 43 36 11 5 46 89 08 27 51 13 134 3812 276 35 359 12 27 321 35 44 36 12 6 45 90 07 28 52 12 135 3813 277 33 0 11 28 322 34 45 35 13 7 44 91 07 29 53 12 136 3714 278 32 1 10 29 323 32 46 34 14 8 43 92 06 30 54 11 137 36

15 279 31 2 09 30 324 31 47 34 15 9 42 93 05 31 55 11 138 3616 280 29 3 08 Oct. 1 325 30 48 33 16 10 41 94 05 32 56 10 139 35

Form the quantities C = p cos (local hour angle) and S = p sin (local hour angle) thenLatitude = h0 − C + 0·0087 S2 tan h0,Azimuth of Polaris = −S/ cosh0 and Azimuth of σ Octantis = 180◦ + S/ cosh0, where p and h0

are in degrees and h0 is the observed altitude corrected for atmospheric refraction and instrument error.


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WORLD MAP OF TIME ZONES

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RISING AND SETTING PHENOMENA, 2018 23

The times of sunrise and sunset (pages 24–31) and of moonrise and moonset (pages 32–63)are the instants when the upper limbs of the Sun and Moon appear to lie on the horizon for anobserver at sea-level. In both cases a fixed allowance of 34′ has been made for refraction; afurther allowance of 16′ has been made for the semidiameter of the Sun, while for the Moonthe actual value of semidiameter minus horizontal parallax has been used. No allowance hasbeen made for the phase of the Moon. The observed times may differ from the tabular timesbecause of variations in refraction and the relative heights of the observer and horizon.

The tabular values are for the universal time (UT) of the phenomena on the Greenwichmeridian (longitude 0◦). To a first approximation the UT at another longitude is given bysubtracting the longitude, expressed in time-measure, if east of Greenwich, or by adding, ifwest of Greenwich. Alternatively the tables may be regarded as giving the approximate localmean time on all meridians. These times may be converted to standard time by applying theappropriate differences, as indicated in the note on page 4. Linear interpolation may be usedto obtain the times for non-tabular latitudes.

In the case of the Sun it may be necessary to interpolate (mentally) to obtain the UT foran intermediate date, but a further interpolation for longitude is not normally required. Inthe case of the Moon the values must normally be interpolated for longitude, as well as forlatitude, since the changes in the tabular values from one day to the next are usually large.The interpolating factor is equal to one twenty-fourth of the longitude if expressed in hoursand decimals of an hour; linear interpolation is usually adequate.

Example

To find the times of sunrise and sunset and of moonrise and moonset on 2018 February 24 atlatitude N 38◦ 55′, longitude W 77◦ 15′. The longitude expressed in time-measure is W 05h 09m.The difference between standard time and UT is −5h in this case.

The relevant tabular values in UT for longitude 0◦ are as follows:

Sunrise Sunset Moonrise Moonset

+35◦ +40◦ +35◦ +40◦ +35◦ +40◦ +35◦ +40◦

d h m h m h m h m d h m h m h m h m

Feb. 23 06 37 06 42 17 50 17 45 Feb. 24 12 11 11 59 01 33 01 4427 06 32 06 37 17 54 17 49 25 13 06 12 53 02 36 02 49

Interpolating factor for latitude is 3◦ 55′/ 5◦ = 0·78for date for Sun is 1d/4d = 0·25for long. for Moon is 5h.15/24h = 0·21

Sunrise Sunset Moonrise Moonset

Interpolation to: d h m h m d h m h m

Latitude N 38◦ 55′ Feb. 23 06 41 17 46 Feb. 24 12 02 01 42N 38◦ 55′ 27 06 36 17 50 25 12 56 02 46

Local mean time 24 06 40 17 47 24 12 13 01 55

Adjustment to:Universal time 24 11 49 22 56 24 17 22 07 04Standard time 24 06 49 17 56 24 12 22 02 04


SUNRISE AND SUNSET, 201824UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mJan. −2 3 23 3 52 4 15 4 33 4 47 5 00 5 22 5 41 5 58 6 16 6 34 6 55 7 07 7 21

2 3 27 3 56 4 18 4 36 4 50 5 03 5 25 5 43 6 00 6 17 6 35 6 56 7 08 7 226 3 33 4 01 4 22 4 39 4 54 5 06 5 27 5 45 6 02 6 19 6 37 6 57 7 09 7 22

10 3 39 4 06 4 27 4 43 4 57 5 09 5 30 5 47 6 04 6 20 6 37 6 57 7 08 7 2214 3 46 4 12 4 32 4 48 5 01 5 13 5 32 5 50 6 05 6 21 6 38 6 57 7 08 7 20

18 3 53 4 18 4 37 4 52 5 05 5 16 5 35 5 52 6 07 6 22 6 38 6 56 7 07 7 1922 4 01 4 24 4 42 4 57 5 09 5 20 5 38 5 53 6 08 6 22 6 38 6 55 7 05 7 1626 4 10 4 31 4 48 5 02 5 13 5 23 5 40 5 55 6 09 6 23 6 37 6 53 7 03 7 1430 4 18 4 38 4 54 5 06 5 17 5 27 5 43 5 57 6 10 6 23 6 36 6 51 7 00 7 10

Feb. 3 4 27 4 45 5 00 5 11 5 21 5 30 5 45 5 58 6 10 6 22 6 35 6 49 6 57 7 07

7 4 35 4 52 5 05 5 16 5 26 5 34 5 48 6 00 6 11 6 22 6 33 6 46 6 54 7 0311 4 44 4 59 5 11 5 21 5 30 5 37 5 50 6 01 6 11 6 21 6 31 6 43 6 50 6 5815 4 53 5 06 5 17 5 26 5 34 5 40 5 52 6 02 6 11 6 20 6 29 6 40 6 46 6 5319 5 01 5 13 5 23 5 31 5 38 5 43 5 54 6 02 6 10 6 18 6 27 6 36 6 42 6 4823 5 10 5 20 5 29 5 35 5 41 5 46 5 55 6 03 6 10 6 17 6 24 6 32 6 37 6 42

27 5 18 5 27 5 34 5 40 5 45 5 49 5 57 6 03 6 09 6 15 6 21 6 28 6 32 6 37Mar. 3 5 27 5 34 5 40 5 44 5 49 5 52 5 58 6 04 6 09 6 13 6 18 6 24 6 27 6 31

7 5 35 5 40 5 45 5 49 5 52 5 55 6 00 6 04 6 08 6 11 6 15 6 19 6 22 6 2411 5 43 5 47 5 50 5 53 5 56 5 58 6 01 6 04 6 07 6 09 6 12 6 15 6 16 6 1815 5 51 5 54 5 56 5 57 5 59 6 00 6 02 6 04 6 06 6 07 6 09 6 10 6 11 6 12

19 5 59 6 00 6 01 6 02 6 02 6 03 6 03 6 04 6 05 6 05 6 05 6 05 6 05 6 0523 6 07 6 06 6 06 6 06 6 05 6 05 6 05 6 04 6 03 6 03 6 02 6 00 6 00 5 5927 6 14 6 13 6 11 6 10 6 09 6 08 6 06 6 04 6 02 6 00 5 58 5 56 5 54 5 5231 6 22 6 19 6 16 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 55 5 51 5 49 5 46

Apr. 4 6 30 6 25 6 21 6 18 6 15 6 12 6 08 6 04 6 00 5 56 5 51 5 46 5 43 5 40

SUNSET


2 20 40 20 11 19 50 19 32 19 17 19 05 18 43 18 25 18 08 17 51 17 33 17 12 17 00 16 466 20 38 20 10 19 49 19 32 19 18 19 05 18 44 18 26 18 10 17 53 17 35 17 15 17 03 16 50

10 20 35 20 08 19 48 19 31 19 18 19 06 18 45 18 28 18 11 17 55 17 38 17 18 17 07 16 5414 20 31 20 06 19 46 19 30 19 17 19 05 18 45 18 28 18 13 17 57 17 40 17 22 17 11 16 58

18 20 26 20 02 19 43 19 28 19 15 19 04 18 45 18 29 18 14 17 59 17 43 17 25 17 14 17 0222 20 21 19 58 19 40 19 26 19 14 19 03 18 45 18 30 18 15 18 01 17 46 17 28 17 18 17 0726 20 14 19 53 19 36 19 23 19 11 19 01 18 44 18 30 18 16 18 03 17 48 17 32 17 22 17 1230 20 07 19 48 19 32 19 19 19 09 18 59 18 43 18 30 18 17 18 04 17 51 17 35 17 27 17 17

Feb. 3 20 00 19 42 19 27 19 16 19 06 18 57 18 42 18 29 18 17 18 05 17 53 17 39 17 31 17 21

7 19 52 19 35 19 22 19 11 19 02 18 54 18 40 18 29 18 18 18 07 17 55 17 42 17 35 17 2611 19 43 19 28 19 16 19 07 18 58 18 51 18 38 18 28 18 18 18 08 17 57 17 45 17 39 17 3115 19 34 19 21 19 10 19 01 18 54 18 47 18 36 18 27 18 18 18 09 17 59 17 49 17 43 17 3619 19 25 19 13 19 04 18 56 18 50 18 44 18 34 18 25 18 17 18 09 18 01 17 52 17 46 17 4023 19 16 19 05 18 57 18 51 18 45 18 40 18 31 18 24 18 17 18 10 18 03 17 55 17 50 17 45

27 19 06 18 57 18 50 18 45 18 40 18 36 18 28 18 22 18 16 18 10 18 04 17 58 17 54 17 49Mar. 3 18 56 18 49 18 43 18 39 18 35 18 31 18 25 18 20 18 15 18 11 18 06 18 00 17 57 17 54

7 18 46 18 41 18 36 18 32 18 29 18 27 18 22 18 18 18 14 18 11 18 07 18 03 18 01 17 5811 18 36 18 32 18 29 18 26 18 24 18 22 18 19 18 16 18 13 18 11 18 08 18 06 18 04 18 0215 18 26 18 23 18 21 18 20 18 18 18 17 18 15 18 14 18 12 18 11 18 10 18 08 18 07 18 07

19 18 16 18 15 18 14 18 13 18 13 18 12 18 12 18 11 18 11 18 11 18 11 18 11 18 11 18 1123 18 05 18 06 18 06 18 07 18 07 18 08 18 08 18 09 18 10 18 11 18 12 18 13 18 14 18 1527 17 55 17 57 17 59 18 00 18 02 18 03 18 05 18 07 18 09 18 11 18 13 18 16 18 17 18 1931 17 45 17 49 17 51 17 54 17 56 17 58 18 01 18 04 18 07 18 11 18 14 18 18 18 20 18 23

Apr. 4 17 35 17 40 17 44 17 48 17 50 17 53 17 58 18 02 18 06 18 10 18 15 18 20 18 24 18 27


SUNRISE AND SUNSET, 2018 25UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


2 7 22 7 28 7 35 7 42 7 50 7 58 8 08 8 19 8 31 8 45 9 02 9 22 9 48 10 266 7 22 7 28 7 35 7 42 7 49 7 58 8 07 8 17 8 29 8 43 8 59 9 18 9 43 10 17

10 7 22 7 27 7 34 7 40 7 48 7 56 8 05 8 15 8 26 8 39 8 55 9 13 9 36 10 0714 7 20 7 26 7 32 7 39 7 46 7 53 8 02 8 12 8 22 8 35 8 49 9 06 9 28 9 56

18 7 19 7 24 7 30 7 36 7 43 7 50 7 58 8 07 8 18 8 29 8 43 8 59 9 18 9 4422 7 16 7 22 7 27 7 33 7 39 7 46 7 54 8 02 8 12 8 23 8 35 8 50 9 08 9 3126 7 14 7 19 7 24 7 29 7 35 7 42 7 49 7 57 8 06 8 16 8 27 8 41 8 57 9 1730 7 10 7 15 7 20 7 25 7 30 7 36 7 43 7 50 7 59 8 08 8 19 8 31 8 46 9 03

Feb. 3 7 07 7 11 7 15 7 20 7 25 7 31 7 37 7 44 7 51 8 00 8 09 8 20 8 33 8 49

7 7 03 7 06 7 10 7 15 7 19 7 24 7 30 7 36 7 43 7 51 7 59 8 09 8 21 8 3511 6 58 7 01 7 05 7 09 7 13 7 18 7 23 7 28 7 34 7 41 7 49 7 58 8 08 8 2015 6 53 6 56 6 59 7 03 7 07 7 11 7 15 7 20 7 25 7 32 7 38 7 46 7 55 8 0619 6 48 6 51 6 53 6 56 7 00 7 03 7 07 7 11 7 16 7 21 7 27 7 34 7 42 7 5123 6 42 6 45 6 47 6 50 6 53 6 56 6 59 7 03 7 07 7 11 7 16 7 22 7 28 7 36

27 6 37 6 39 6 41 6 43 6 45 6 48 6 50 6 53 6 57 7 00 7 05 7 09 7 15 7 21Mar. 3 6 31 6 32 6 34 6 36 6 37 6 39 6 42 6 44 6 47 6 50 6 53 6 57 7 01 7 06

7 6 24 6 26 6 27 6 28 6 30 6 31 6 33 6 35 6 37 6 39 6 41 6 44 6 47 6 5111 6 18 6 19 6 20 6 21 6 22 6 23 6 24 6 25 6 26 6 28 6 29 6 31 6 33 6 3515 6 12 6 12 6 13 6 13 6 14 6 14 6 15 6 15 6 16 6 16 6 17 6 18 6 19 6 20

19 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 05 6 0523 5 59 5 59 5 58 5 58 5 57 5 57 5 56 5 55 5 55 5 54 5 53 5 52 5 51 5 4927 5 52 5 52 5 51 5 50 5 49 5 48 5 47 5 46 5 44 5 43 5 41 5 39 5 37 5 3431 5 46 5 45 5 44 5 42 5 41 5 39 5 38 5 36 5 34 5 31 5 29 5 26 5 22 5 19

Apr. 4 5 40 5 38 5 36 5 35 5 33 5 31 5 28 5 26 5 23 5 20 5 17 5 13 5 08 5 03

SUNSET


2 16 46 16 40 16 33 16 26 16 18 16 10 16 00 15 50 15 37 15 23 15 07 14 46 14 20 13 426 16 50 16 44 16 37 16 30 16 23 16 14 16 05 15 55 15 43 15 29 15 13 14 54 14 29 13 55

10 16 54 16 48 16 42 16 35 16 28 16 19 16 11 16 01 15 49 15 36 15 21 15 02 14 39 14 0814 16 58 16 52 16 46 16 40 16 33 16 25 16 17 16 07 15 56 15 44 15 29 15 12 14 51 14 23

18 17 02 16 57 16 51 16 45 16 38 16 31 16 23 16 14 16 04 15 52 15 39 15 23 15 03 14 3822 17 07 17 02 16 57 16 51 16 44 16 37 16 30 16 21 16 12 16 01 15 48 15 34 15 16 14 5326 17 12 17 07 17 02 16 56 16 50 16 44 16 37 16 29 16 20 16 10 15 58 15 45 15 29 15 0930 17 17 17 12 17 07 17 02 16 57 16 51 16 44 16 37 16 29 16 19 16 09 15 56 15 42 15 24

Feb. 3 17 21 17 17 17 13 17 08 17 03 16 57 16 51 16 45 16 37 16 29 16 19 16 08 15 55 15 39

7 17 26 17 22 17 18 17 14 17 09 17 04 16 59 16 53 16 46 16 38 16 30 16 20 16 08 15 5411 17 31 17 28 17 24 17 20 17 16 17 11 17 06 17 01 16 55 16 48 16 40 16 32 16 21 16 0915 17 36 17 33 17 29 17 26 17 22 17 18 17 14 17 09 17 04 16 58 16 51 16 43 16 34 16 2419 17 40 17 38 17 35 17 32 17 29 17 25 17 21 17 17 17 12 17 07 17 01 16 55 16 47 16 3823 17 45 17 43 17 40 17 38 17 35 17 32 17 29 17 25 17 21 17 17 17 12 17 06 17 00 16 52

27 17 49 17 48 17 46 17 43 17 41 17 39 17 36 17 33 17 30 17 26 17 22 17 17 17 12 17 06Mar. 3 17 54 17 52 17 51 17 49 17 47 17 45 17 43 17 41 17 38 17 35 17 32 17 29 17 24 17 20

7 17 58 17 57 17 56 17 55 17 53 17 52 17 50 17 48 17 47 17 45 17 42 17 40 17 37 17 3311 18 02 18 02 18 01 18 00 17 59 17 58 17 57 17 56 17 55 17 54 17 52 17 50 17 49 17 4615 18 07 18 06 18 06 18 06 18 05 18 05 18 04 18 04 18 03 18 03 18 02 18 01 18 00 18 00

19 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 12 18 12 18 12 18 12 18 1323 18 15 18 15 18 16 18 16 18 17 18 18 18 18 18 19 18 20 18 21 18 22 18 23 18 24 18 2627 18 19 18 20 18 21 18 22 18 23 18 24 18 25 18 26 18 28 18 30 18 31 18 33 18 36 18 3931 18 23 18 24 18 26 18 27 18 28 18 30 18 32 18 34 18 36 18 38 18 41 18 44 18 48 18 52

Apr. 4 18 27 18 29 18 30 18 32 18 34 18 36 18 39 18 41 18 44 18 47 18 51 18 55 19 00 19 05



SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mMar. 31 6 22 6 19 6 16 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 55 5 51 5 49 5 46Apr. 4 6 30 6 25 6 21 6 18 6 15 6 12 6 08 6 04 6 00 5 56 5 51 5 46 5 43 5 40

8 6 38 6 31 6 26 6 22 6 18 6 15 6 09 6 04 5 59 5 53 5 48 5 41 5 38 5 3312 6 45 6 37 6 31 6 26 6 21 6 17 6 10 6 04 5 57 5 51 5 45 5 37 5 32 5 2716 6 53 6 44 6 36 6 30 6 24 6 20 6 11 6 04 5 56 5 49 5 41 5 32 5 27 5 21

20 7 01 6 50 6 41 6 34 6 28 6 22 6 12 6 04 5 56 5 47 5 38 5 28 5 22 5 1524 7 08 6 56 6 46 6 38 6 31 6 25 6 14 6 04 5 55 5 45 5 35 5 24 5 17 5 1028 7 16 7 02 6 51 6 42 6 34 6 27 6 15 6 04 5 54 5 44 5 33 5 20 5 13 5 04

May 2 7 23 7 08 6 56 6 46 6 37 6 30 6 16 6 05 5 54 5 42 5 30 5 16 5 08 4 596 7 30 7 14 7 01 6 50 6 40 6 32 6 18 6 05 5 53 5 41 5 28 5 13 5 04 4 54

10 7 38 7 20 7 05 6 54 6 43 6 35 6 19 6 06 5 53 5 40 5 26 5 10 5 01 4 5014 7 45 7 25 7 10 6 57 6 47 6 37 6 21 6 06 5 53 5 39 5 24 5 07 4 57 4 4618 7 51 7 31 7 14 7 01 6 50 6 40 6 22 6 07 5 53 5 38 5 23 5 05 4 54 4 4222 7 58 7 36 7 19 7 04 6 52 6 42 6 24 6 08 5 53 5 38 5 22 5 03 4 52 4 3926 8 04 7 41 7 23 7 08 6 55 6 44 6 26 6 09 5 53 5 38 5 21 5 01 4 50 4 36

30 8 09 7 45 7 26 7 11 6 58 6 47 6 27 6 10 5 54 5 38 5 20 5 00 4 48 4 34June 3 8 14 7 49 7 29 7 14 7 00 6 49 6 29 6 11 5 54 5 38 5 20 4 59 4 47 4 33

7 8 18 7 52 7 32 7 16 7 03 6 51 6 30 6 12 5 55 5 38 5 20 4 58 4 46 4 3111 8 22 7 55 7 35 7 18 7 04 6 52 6 31 6 13 5 56 5 39 5 20 4 58 4 46 4 3115 8 24 7 57 7 37 7 20 7 06 6 54 6 33 6 14 5 57 5 39 5 20 4 58 4 46 4 31

19 8 26 7 59 7 38 7 21 7 07 6 55 6 34 6 15 5 58 5 40 5 21 4 59 4 46 4 3123 8 27 8 00 7 39 7 22 7 08 6 56 6 35 6 16 5 59 5 41 5 22 5 00 4 47 4 3227 8 27 8 00 7 39 7 23 7 09 6 56 6 35 6 17 5 59 5 42 5 23 5 01 4 48 4 33

July 1 8 26 8 00 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 02 4 50 4 355 8 24 7 58 7 38 7 22 7 08 6 56 6 36 6 18 6 01 5 44 5 25 5 04 4 51 4 37

SUNSET


8 17 25 17 32 17 37 17 41 17 45 17 49 17 55 18 00 18 05 18 10 18 16 18 23 18 27 18 3112 17 15 17 23 17 30 17 35 17 40 17 44 17 51 17 58 18 04 18 10 18 17 18 25 18 30 18 3516 17 06 17 15 17 23 17 29 17 35 17 40 17 48 17 56 18 03 18 11 18 19 18 28 18 33 18 39

20 16 56 17 07 17 16 17 23 17 30 17 35 17 45 17 54 18 02 18 11 18 20 18 30 18 36 18 4324 16 47 17 00 17 10 17 18 17 25 17 31 17 42 17 52 18 02 18 11 18 21 18 33 18 40 18 4728 16 39 16 52 17 03 17 13 17 21 17 28 17 40 17 51 18 01 18 11 18 22 18 35 18 43 18 52

May 2 16 30 16 45 16 58 17 08 17 16 17 24 17 37 17 49 18 00 18 12 18 24 18 38 18 46 18 566 16 22 16 39 16 52 17 03 17 13 17 21 17 35 17 48 18 00 18 12 18 25 18 41 18 49 19 00

10 16 15 16 33 16 47 16 59 17 09 17 18 17 33 17 47 18 00 18 13 18 27 18 43 18 53 19 0314 16 07 16 27 16 42 16 55 17 06 17 15 17 32 17 46 18 00 18 14 18 28 18 46 18 56 19 0718 16 01 16 22 16 38 16 52 17 03 17 13 17 30 17 46 18 00 18 14 18 30 18 48 18 59 19 1122 15 55 16 17 16 34 16 49 17 01 17 11 17 29 17 45 18 00 18 15 18 32 18 51 19 02 19 1526 15 50 16 13 16 31 16 46 16 59 17 10 17 28 17 45 18 01 18 16 18 33 18 53 19 05 19 18

30 15 46 16 10 16 29 16 44 16 57 17 08 17 28 17 45 18 01 18 17 18 35 18 55 19 07 19 21June 3 15 42 16 07 16 27 16 42 16 56 17 07 17 28 17 45 18 02 18 19 18 37 18 57 19 10 19 24

7 15 39 16 05 16 25 16 41 16 55 17 07 17 28 17 46 18 03 18 20 18 38 18 59 19 12 19 2711 15 37 16 04 16 24 16 41 16 55 17 07 17 28 17 46 18 03 18 21 18 39 19 01 19 14 19 2915 15 36 16 03 16 24 16 41 16 55 17 07 17 28 17 47 18 04 18 22 18 41 19 03 19 16 19 31

19 15 36 16 04 16 24 16 41 16 55 17 08 17 29 17 48 18 05 18 23 18 42 19 04 19 17 19 3223 15 37 16 04 16 25 16 42 16 56 17 09 17 30 17 48 18 06 18 23 18 42 19 05 19 18 19 3327 15 39 16 06 16 27 16 43 16 58 17 10 17 31 17 49 18 07 18 24 18 43 19 05 19 18 19 33

July 1 15 42 16 08 16 29 16 45 16 59 17 11 17 32 17 50 18 08 18 25 18 43 19 05 19 18 19 335 15 45 16 11 16 31 16 47 17 01 17 13 17 33 17 51 18 08 18 25 18 44 19 05 19 17 19 32



SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


8 5 33 5 31 5 29 5 27 5 25 5 22 5 19 5 16 5 13 5 09 5 05 5 00 4 54 4 4812 5 27 5 25 5 22 5 20 5 17 5 14 5 10 5 07 5 02 4 58 4 53 4 47 4 40 4 3216 5 21 5 18 5 15 5 12 5 09 5 05 5 01 4 57 4 52 4 47 4 41 4 34 4 26 4 16

20 5 15 5 12 5 09 5 05 5 02 4 57 4 53 4 48 4 42 4 36 4 29 4 21 4 12 4 0124 5 10 5 06 5 02 4 59 4 54 4 50 4 45 4 39 4 33 4 26 4 18 4 09 3 58 3 4528 5 04 5 00 4 56 4 52 4 47 4 42 4 36 4 30 4 23 4 15 4 07 3 56 3 44 3 30

May 2 4 59 4 55 4 50 4 46 4 41 4 35 4 29 4 22 4 14 4 05 3 56 3 44 3 30 3 146 4 54 4 50 4 45 4 40 4 34 4 28 4 21 4 14 4 05 3 56 3 45 3 32 3 17 2 58

10 4 50 4 45 4 40 4 34 4 28 4 22 4 14 4 06 3 57 3 47 3 35 3 21 3 04 2 4214 4 46 4 41 4 35 4 29 4 23 4 16 4 08 3 59 3 49 3 38 3 25 3 10 2 51 2 2618 4 42 4 37 4 31 4 25 4 18 4 10 4 02 3 53 3 42 3 30 3 16 2 59 2 38 2 1022 4 39 4 33 4 27 4 21 4 13 4 05 3 57 3 47 3 35 3 22 3 07 2 49 2 26 1 5426 4 36 4 30 4 24 4 17 4 10 4 01 3 52 3 41 3 30 3 16 2 59 2 40 2 14 1 38

30 4 34 4 28 4 21 4 14 4 06 3 58 3 48 3 37 3 24 3 10 2 53 2 31 2 03 1 21June 3 4 33 4 26 4 19 4 12 4 04 3 55 3 45 3 33 3 20 3 05 2 47 2 24 1 53 1 04

7 4 31 4 25 4 18 4 10 4 02 3 52 3 42 3 30 3 17 3 01 2 42 2 18 1 45 0 4511 4 31 4 24 4 17 4 09 4 00 3 51 3 40 3 28 3 14 2 58 2 38 2 13 1 38 0 2215 4 31 4 24 4 17 4 09 4 00 3 50 3 39 3 27 3 13 2 56 2 36 2 10 1 33

19 4 31 4 24 4 17 4 09 4 00 3 50 3 39 3 27 3 13 2 56 2 36 2 09 1 3123 4 32 4 25 4 18 4 10 4 01 3 51 3 40 3 28 3 14 2 57 2 36 2 10 1 3227 4 33 4 26 4 19 4 11 4 02 3 53 3 42 3 30 3 15 2 59 2 38 2 12 1 35

July 1 4 35 4 28 4 21 4 13 4 04 3 55 3 44 3 32 3 18 3 02 2 42 2 17 1 41 0 195 4 37 4 30 4 23 4 16 4 07 3 58 3 47 3 36 3 22 3 06 2 47 2 23 1 49 0 47

SUNSET


8 18 31 18 33 18 35 18 38 18 40 18 43 18 46 18 49 18 52 18 56 19 01 19 06 19 12 19 1812 18 35 18 38 18 40 18 43 18 46 18 49 18 52 18 56 19 00 19 05 19 10 19 17 19 24 19 3216 18 39 18 42 18 45 18 48 18 52 18 55 18 59 19 04 19 09 19 14 19 20 19 28 19 36 19 45

20 18 43 18 46 18 50 18 53 18 57 19 01 19 06 19 11 19 17 19 23 19 30 19 39 19 48 19 5924 18 47 18 51 18 55 18 59 19 03 19 08 19 13 19 19 19 25 19 32 19 40 19 50 20 01 20 1428 18 52 18 55 18 59 19 04 19 09 19 14 19 20 19 26 19 33 19 41 19 50 20 01 20 13 20 28

May 2 18 56 19 00 19 04 19 09 19 14 19 20 19 26 19 33 19 41 19 50 20 00 20 12 20 26 20 436 19 00 19 04 19 09 19 14 19 20 19 26 19 33 19 41 19 49 19 59 20 10 20 23 20 39 20 58

10 19 03 19 08 19 14 19 19 19 25 19 32 19 39 19 48 19 57 20 08 20 20 20 34 20 52 21 1314 19 07 19 13 19 18 19 24 19 31 19 38 19 46 19 55 20 05 20 16 20 29 20 45 21 05 21 2918 19 11 19 17 19 22 19 29 19 36 19 43 19 52 20 01 20 12 20 24 20 39 20 56 21 17 21 4622 19 15 19 20 19 27 19 33 19 41 19 49 19 58 20 08 20 19 20 32 20 48 21 06 21 30 22 0226 19 18 19 24 19 31 19 38 19 45 19 54 20 03 20 14 20 26 20 40 20 56 21 16 21 42 22 20

30 19 21 19 27 19 34 19 41 19 49 19 58 20 08 20 19 20 32 20 46 21 04 21 26 21 54 22 38June 3 19 24 19 30 19 37 19 45 19 53 20 02 20 12 20 24 20 37 20 52 21 11 21 34 22 05 22 57

7 19 27 19 33 19 40 19 48 19 56 20 06 20 16 20 28 20 42 20 57 21 17 21 41 22 15 23 1711 19 29 19 35 19 43 19 51 19 59 20 09 20 19 20 31 20 45 21 02 21 22 21 47 22 23 23 4615 19 31 19 37 19 45 19 53 20 01 20 11 20 22 20 34 20 48 21 05 21 25 21 51 22 29

19 19 32 19 39 19 46 19 54 20 03 20 12 20 23 20 36 20 50 21 07 21 27 21 54 22 3223 19 33 19 39 19 47 19 55 20 04 20 13 20 24 20 36 20 51 21 07 21 28 21 54 22 3227 19 33 19 40 19 47 19 55 20 04 20 13 20 24 20 36 20 50 21 07 21 27 21 53 22 30

July 1 19 33 19 39 19 47 19 54 20 03 20 12 20 23 20 35 20 49 21 05 21 25 21 50 22 25 23 405 19 32 19 39 19 46 19 53 20 02 20 11 20 21 20 33 20 47 21 02 21 21 21 45 22 18 23 17

indicates Sun continuously above horizon.



SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mJuly 1 8 26 8 00 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 02 4 50 4 35

5 8 24 7 58 7 38 7 22 7 08 6 56 6 36 6 18 6 01 5 44 5 25 5 04 4 51 4 379 8 21 7 56 7 37 7 21 7 08 6 56 6 36 6 18 6 02 5 45 5 27 5 06 4 54 4 39

13 8 18 7 53 7 35 7 19 7 06 6 55 6 35 6 18 6 02 5 46 5 28 5 08 4 56 4 4217 8 13 7 50 7 32 7 17 7 05 6 54 6 35 6 18 6 03 5 47 5 30 5 10 4 59 4 45

21 8 08 7 46 7 29 7 15 7 03 6 52 6 34 6 18 6 03 5 48 5 31 5 12 5 01 4 4825 8 02 7 41 7 25 7 11 7 00 6 50 6 33 6 17 6 03 5 48 5 33 5 15 5 04 4 5229 7 55 7 36 7 21 7 08 6 57 6 48 6 31 6 17 6 03 5 49 5 34 5 17 5 07 4 55

Aug. 2 7 48 7 30 7 16 7 04 6 54 6 45 6 29 6 16 6 03 5 50 5 36 5 20 5 10 4 596 7 41 7 24 7 11 7 00 6 50 6 42 6 27 6 15 6 02 5 50 5 37 5 22 5 13 5 03

10 7 32 7 17 7 05 6 55 6 46 6 38 6 25 6 13 6 02 5 51 5 38 5 24 5 16 5 0714 7 24 7 10 6 59 6 50 6 42 6 35 6 22 6 12 6 01 5 51 5 40 5 27 5 19 5 1018 7 15 7 03 6 53 6 44 6 37 6 31 6 20 6 10 6 00 5 51 5 41 5 29 5 22 5 1422 7 06 6 55 6 46 6 39 6 32 6 27 6 17 6 08 6 00 5 51 5 42 5 31 5 25 5 1826 6 57 6 47 6 39 6 33 6 27 6 22 6 14 6 06 5 58 5 51 5 43 5 34 5 28 5 22

30 6 47 6 39 6 32 6 27 6 22 6 18 6 10 6 04 5 57 5 51 5 44 5 36 5 31 5 26Sept. 3 6 37 6 30 6 25 6 21 6 17 6 13 6 07 6 01 5 56 5 51 5 45 5 38 5 34 5 29

7 6 27 6 22 6 18 6 14 6 11 6 08 6 03 5 59 5 55 5 50 5 46 5 40 5 37 5 3311 6 17 6 13 6 10 6 08 6 05 6 03 6 00 5 57 5 53 5 50 5 47 5 42 5 40 5 3715 6 07 6 05 6 03 6 01 6 00 5 58 5 56 5 54 5 52 5 50 5 47 5 44 5 43 5 41

19 5 57 5 56 5 55 5 55 5 54 5 53 5 53 5 52 5 51 5 49 5 48 5 47 5 46 5 4523 5 46 5 47 5 47 5 48 5 48 5 48 5 49 5 49 5 49 5 49 5 49 5 49 5 49 5 4827 5 36 5 38 5 40 5 41 5 42 5 43 5 45 5 47 5 48 5 49 5 50 5 51 5 52 5 52

Oct. 1 5 26 5 29 5 32 5 35 5 37 5 39 5 42 5 44 5 46 5 49 5 51 5 53 5 55 5 565 5 16 5 21 5 25 5 28 5 31 5 34 5 38 5 42 5 45 5 48 5 52 5 56 5 58 6 00

SUNSET


5 15 45 16 11 16 31 16 47 17 01 17 13 17 33 17 51 18 08 18 25 18 44 19 05 19 17 19 329 15 49 16 15 16 34 16 50 17 03 17 15 17 35 17 52 18 09 18 26 18 43 19 04 19 17 19 31

13 15 54 16 18 16 37 16 52 17 05 17 17 17 36 17 53 18 09 18 26 18 43 19 03 19 15 19 2917 16 00 16 23 16 41 16 55 17 08 17 19 17 38 17 54 18 10 18 25 18 42 19 02 19 13 19 27

21 16 05 16 27 16 45 16 59 17 11 17 21 17 39 17 55 18 10 18 25 18 41 19 00 19 11 19 2425 16 12 16 32 16 49 17 02 17 13 17 23 17 41 17 56 18 10 18 24 18 40 18 58 19 09 19 2129 16 18 16 38 16 53 17 05 17 16 17 26 17 42 17 56 18 10 18 24 18 38 18 55 19 05 19 17

Aug. 2 16 25 16 43 16 57 17 09 17 19 17 28 17 43 17 57 18 10 18 23 18 37 18 53 19 02 19 136 16 32 16 49 17 02 17 13 17 22 17 30 17 45 17 57 18 09 18 21 18 34 18 49 18 58 19 08

10 16 39 16 54 17 06 17 16 17 25 17 33 17 46 17 58 18 09 18 20 18 32 18 46 18 54 19 0314 16 46 17 00 17 11 17 20 17 28 17 35 17 47 17 58 18 08 18 18 18 29 18 42 18 50 18 5818 16 53 17 06 17 16 17 24 17 31 17 37 17 48 17 58 18 07 18 17 18 27 18 38 18 45 18 5322 17 01 17 12 17 20 17 28 17 34 17 40 17 49 17 58 18 06 18 15 18 24 18 34 18 40 18 4726 17 08 17 17 17 25 17 31 17 37 17 42 17 50 17 58 18 05 18 12 18 20 18 30 18 35 18 41

30 17 15 17 23 17 30 17 35 17 40 17 44 17 51 17 58 18 04 18 10 18 17 18 25 18 30 18 35Sept. 3 17 23 17 29 17 34 17 39 17 43 17 46 17 52 17 57 18 03 18 08 18 14 18 20 18 24 18 29

7 17 30 17 35 17 39 17 42 17 45 17 48 17 53 17 57 18 01 18 06 18 10 18 15 18 19 18 2211 17 37 17 41 17 44 17 46 17 48 17 50 17 54 17 57 18 00 18 03 18 06 18 11 18 13 18 1615 17 45 17 47 17 48 17 50 17 51 17 52 17 55 17 57 17 58 18 01 18 03 18 06 18 07 18 09

19 17 52 17 53 17 53 17 54 17 54 17 55 17 55 17 56 17 57 17 58 17 59 18 01 18 01 18 0223 18 00 17 59 17 58 17 58 17 57 17 57 17 56 17 56 17 56 17 55 17 55 17 56 17 56 17 5627 18 07 18 05 18 03 18 01 18 00 17 59 17 57 17 56 17 54 17 53 17 52 17 51 17 50 17 49

Oct. 1 18 15 18 11 18 08 18 05 18 03 18 01 17 58 17 55 17 53 17 51 17 48 17 46 17 44 17 435 18 22 18 17 18 13 18 09 18 06 18 04 17 59 17 55 17 52 17 48 17 45 17 41 17 39 17 36



SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


5 4 37 4 30 4 23 4 16 4 07 3 58 3 47 3 36 3 22 3 06 2 47 2 23 1 49 0 479 4 39 4 33 4 26 4 19 4 10 4 01 3 51 3 40 3 27 3 11 2 53 2 30 1 59 1 07

13 4 42 4 36 4 29 4 22 4 14 4 05 3 55 3 44 3 32 3 17 3 00 2 38 2 09 1 2617 4 45 4 39 4 33 4 26 4 18 4 10 4 00 3 50 3 38 3 24 3 07 2 47 2 21 1 44

21 4 48 4 43 4 37 4 30 4 23 4 14 4 06 3 56 3 44 3 31 3 16 2 57 2 33 2 0125 4 52 4 46 4 41 4 34 4 27 4 20 4 11 4 02 3 51 3 39 3 24 3 07 2 46 2 1729 4 55 4 50 4 45 4 39 4 32 4 25 4 17 4 08 3 58 3 47 3 33 3 18 2 58 2 33

Aug. 2 4 59 4 54 4 49 4 43 4 37 4 31 4 23 4 15 4 06 3 55 3 43 3 28 3 11 2 496 5 03 4 58 4 53 4 48 4 42 4 36 4 29 4 22 4 13 4 03 3 52 3 39 3 24 3 04

10 5 07 5 02 4 58 4 53 4 48 4 42 4 36 4 29 4 21 4 12 4 02 3 50 3 36 3 1914 5 10 5 07 5 02 4 58 4 53 4 48 4 42 4 36 4 29 4 21 4 12 4 01 3 48 3 3318 5 14 5 11 5 07 5 03 4 59 4 54 4 49 4 43 4 37 4 29 4 21 4 12 4 01 3 4822 5 18 5 15 5 12 5 08 5 04 5 00 4 55 4 50 4 44 4 38 4 31 4 22 4 13 4 0126 5 22 5 19 5 16 5 13 5 10 5 06 5 02 4 57 4 52 4 47 4 40 4 33 4 25 4 15

30 5 26 5 23 5 21 5 18 5 15 5 12 5 08 5 04 5 00 4 55 4 50 4 44 4 37 4 28Sept. 3 5 29 5 27 5 25 5 23 5 20 5 18 5 15 5 11 5 08 5 04 4 59 4 54 4 48 4 41

7 5 33 5 32 5 30 5 28 5 26 5 24 5 21 5 19 5 16 5 12 5 09 5 05 5 00 4 5411 5 37 5 36 5 34 5 33 5 31 5 30 5 28 5 26 5 23 5 21 5 18 5 15 5 11 5 0715 5 41 5 40 5 39 5 38 5 37 5 36 5 34 5 33 5 31 5 29 5 27 5 25 5 23 5 20

19 5 45 5 44 5 43 5 43 5 42 5 42 5 41 5 40 5 39 5 38 5 37 5 36 5 34 5 3223 5 48 5 48 5 48 5 48 5 48 5 48 5 47 5 47 5 47 5 47 5 46 5 46 5 45 5 4527 5 52 5 52 5 53 5 53 5 53 5 54 5 54 5 54 5 55 5 55 5 56 5 56 5 57 5 57

Oct. 1 5 56 5 57 5 57 5 58 5 59 6 00 6 01 6 02 6 03 6 04 6 05 6 07 6 08 6 105 6 00 6 01 6 02 6 03 6 05 6 06 6 07 6 09 6 11 6 13 6 15 6 17 6 20 6 23

SUNSET


5 19 32 19 39 19 46 19 53 20 02 20 11 20 21 20 33 20 47 21 02 21 21 21 45 22 18 23 179 19 31 19 37 19 44 19 51 20 00 20 09 20 19 20 30 20 43 20 58 21 17 21 39 22 10 22 59

13 19 29 19 35 19 42 19 49 19 57 20 06 20 15 20 26 20 39 20 53 21 11 21 32 22 00 22 4217 19 27 19 33 19 39 19 46 19 54 20 02 20 11 20 22 20 34 20 47 21 04 21 23 21 49 22 25

21 19 24 19 30 19 36 19 42 19 50 19 58 20 06 20 16 20 28 20 41 20 56 21 14 21 37 22 0925 19 21 19 26 19 32 19 38 19 45 19 53 20 01 20 10 20 21 20 33 20 47 21 04 21 25 21 5229 19 17 19 22 19 28 19 34 19 40 19 47 19 55 20 04 20 14 20 25 20 38 20 53 21 12 21 36

Aug. 2 19 13 19 18 19 23 19 28 19 34 19 41 19 48 19 57 20 06 20 16 20 28 20 42 20 59 21 216 19 08 19 13 19 18 19 23 19 28 19 35 19 41 19 49 19 57 20 07 20 18 20 31 20 46 21 05

10 19 03 19 08 19 12 19 17 19 22 19 28 19 34 19 41 19 49 19 57 20 07 20 19 20 32 20 4914 18 58 19 02 19 06 19 10 19 15 19 20 19 26 19 32 19 39 19 47 19 56 20 07 20 19 20 3318 18 53 18 56 19 00 19 04 19 08 19 13 19 18 19 24 19 30 19 37 19 45 19 54 20 05 20 1822 18 47 18 50 18 53 18 57 19 01 19 05 19 09 19 14 19 20 19 26 19 33 19 41 19 51 20 0226 18 41 18 44 18 47 18 50 18 53 18 57 19 01 19 05 19 10 19 16 19 22 19 29 19 37 19 46

30 18 35 18 37 18 40 18 42 18 45 18 48 18 52 18 56 19 00 19 05 19 10 19 16 19 23 19 31Sept. 3 18 29 18 31 18 33 18 35 18 37 18 40 18 43 18 46 18 50 18 53 18 58 19 03 19 09 19 15

7 18 22 18 24 18 25 18 27 18 29 18 31 18 34 18 36 18 39 18 42 18 46 18 50 18 54 19 0011 18 16 18 17 18 18 18 20 18 21 18 23 18 24 18 26 18 29 18 31 18 34 18 37 18 40 18 4415 18 09 18 10 18 11 18 12 18 13 18 14 18 15 18 16 18 18 18 20 18 22 18 24 18 26 18 29

19 18 02 18 03 18 03 18 04 18 04 18 05 18 06 18 06 18 07 18 08 18 09 18 11 18 12 18 1423 17 56 17 56 17 56 17 56 17 56 17 56 17 56 17 57 17 57 17 57 17 57 17 57 17 58 17 5827 17 49 17 49 17 49 17 48 17 48 17 47 17 47 17 47 17 46 17 46 17 45 17 44 17 44 17 43

Oct. 1 17 43 17 42 17 41 17 40 17 40 17 39 17 38 17 37 17 36 17 34 17 33 17 31 17 30 17 285 17 36 17 35 17 34 17 33 17 31 17 30 17 29 17 27 17 25 17 23 17 21 17 18 17 16 17 12



SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mOct. 1 5 26 5 29 5 32 5 35 5 37 5 39 5 42 5 44 5 46 5 49 5 51 5 53 5 55 5 56

5 5 16 5 21 5 25 5 28 5 31 5 34 5 38 5 42 5 45 5 48 5 52 5 56 5 58 6 009 5 05 5 12 5 17 5 22 5 26 5 29 5 35 5 40 5 44 5 48 5 53 5 58 6 01 6 04

13 4 56 5 04 5 10 5 16 5 20 5 24 5 31 5 37 5 43 5 48 5 54 6 00 6 04 6 0817 4 46 4 55 5 03 5 10 5 15 5 20 5 28 5 35 5 42 5 49 5 55 6 03 6 07 6 12

21 4 36 4 47 4 56 5 04 5 10 5 16 5 25 5 34 5 41 5 49 5 57 6 06 6 11 6 1725 4 27 4 40 4 50 4 58 5 05 5 12 5 23 5 32 5 41 5 49 5 58 6 09 6 14 6 2129 4 18 4 32 4 44 4 53 5 01 5 08 5 20 5 31 5 40 5 50 6 00 6 11 6 18 6 25

Nov. 2 4 09 4 25 4 38 4 48 4 57 5 05 5 18 5 29 5 40 5 51 6 02 6 14 6 22 6 306 4 01 4 18 4 32 4 43 4 53 5 02 5 16 5 29 5 40 5 52 6 04 6 18 6 26 6 35

10 3 53 4 12 4 27 4 39 4 50 4 59 5 14 5 28 5 40 5 53 6 06 6 21 6 29 6 3914 3 45 4 06 4 22 4 36 4 47 4 56 5 13 5 28 5 41 5 54 6 08 6 24 6 33 6 4418 3 39 4 01 4 18 4 32 4 44 4 55 5 12 5 27 5 42 5 56 6 10 6 27 6 37 6 4822 3 33 3 56 4 15 4 30 4 42 4 53 5 12 5 28 5 42 5 57 6 13 6 31 6 41 6 5326 3 27 3 53 4 12 4 27 4 41 4 52 5 11 5 28 5 44 5 59 6 15 6 34 6 45 6 57

30 3 23 3 49 4 10 4 26 4 39 4 51 5 11 5 29 5 45 6 01 6 18 6 37 6 49 7 01Dec. 4 3 19 3 47 4 08 4 25 4 39 4 51 5 12 5 30 5 46 6 03 6 20 6 40 6 52 7 05

8 3 17 3 46 4 07 4 24 4 39 4 52 5 13 5 31 5 48 6 05 6 23 6 43 6 55 7 0912 3 16 3 45 4 07 4 25 4 40 4 52 5 14 5 33 5 50 6 07 6 25 6 46 6 58 7 1216 3 15 3 45 4 08 4 26 4 41 4 54 5 15 5 34 5 52 6 09 6 28 6 49 7 01 7 15

20 3 16 3 46 4 09 4 27 4 42 4 55 5 17 5 36 5 54 6 11 6 30 6 51 7 03 7 1824 3 18 3 48 4 11 4 29 4 44 4 57 5 19 5 38 5 56 6 13 6 32 6 53 7 05 7 2028 3 22 3 51 4 14 4 32 4 47 4 59 5 21 5 40 5 58 6 15 6 34 6 55 7 07 7 2132 3 26 3 55 4 17 4 35 4 49 5 02 5 24 5 42 6 00 6 17 6 35 6 56 7 08 7 2236 3 31 3 59 4 21 4 38 4 53 5 05 5 26 5 45 6 02 6 18 6 36 6 57 7 08 7 22

SUNSET


5 18 22 18 17 18 13 18 09 18 06 18 04 17 59 17 55 17 52 17 48 17 45 17 41 17 39 17 369 18 30 18 23 18 18 18 13 18 09 18 06 18 00 17 55 17 51 17 46 17 41 17 36 17 33 17 30

13 18 38 18 30 18 23 18 18 18 13 18 09 18 01 17 55 17 50 17 44 17 38 17 32 17 28 17 2417 18 46 18 36 18 28 18 22 18 16 18 11 18 03 17 55 17 49 17 42 17 35 17 27 17 23 17 18

21 18 54 18 43 18 34 18 26 18 20 18 14 18 04 17 56 17 48 17 40 17 32 17 23 17 18 17 1225 19 03 18 50 18 39 18 31 18 23 18 17 18 06 17 56 17 47 17 39 17 30 17 19 17 13 17 0729 19 11 18 56 18 45 18 35 18 27 18 20 18 08 17 57 17 47 17 37 17 27 17 16 17 09 17 01

Nov. 2 19 19 19 03 18 50 18 40 18 31 18 23 18 09 17 58 17 47 17 36 17 25 17 12 17 05 16 576 19 28 19 10 18 56 18 44 18 35 18 26 18 12 17 59 17 47 17 35 17 23 17 09 17 01 16 52

10 19 36 19 17 19 02 18 49 18 39 18 29 18 14 18 00 17 47 17 35 17 22 17 07 16 58 16 4814 19 45 19 24 19 07 18 54 18 43 18 33 18 16 18 01 17 48 17 35 17 21 17 04 16 55 16 4518 19 53 19 30 19 13 18 59 18 47 18 36 18 18 18 03 17 49 17 35 17 20 17 03 16 53 16 4222 20 01 19 37 19 18 19 03 18 51 18 40 18 21 18 05 17 50 17 35 17 19 17 01 16 51 16 3926 20 08 19 43 19 23 19 08 18 54 18 43 18 23 18 07 17 51 17 35 17 19 17 00 16 49 16 37

30 20 15 19 49 19 28 19 12 18 58 18 46 18 26 18 08 17 52 17 36 17 19 17 00 16 49 16 36Dec. 4 20 22 19 54 19 33 19 16 19 02 18 49 18 28 18 11 17 54 17 37 17 20 17 00 16 48 16 35

8 20 27 19 59 19 37 19 20 19 05 18 52 18 31 18 13 17 56 17 39 17 21 17 00 16 48 16 3512 20 32 20 03 19 41 19 23 19 08 18 55 18 33 18 15 17 57 17 40 17 22 17 01 16 49 16 3516 20 36 20 06 19 44 19 26 19 11 18 58 18 36 18 17 17 59 17 42 17 23 17 02 16 50 16 36

20 20 39 20 09 19 46 19 28 19 13 19 00 18 38 18 19 18 01 17 44 17 25 17 04 16 52 16 3724 20 41 20 11 19 48 19 30 19 15 19 02 18 40 18 21 18 03 17 46 17 27 17 06 16 54 16 4028 20 41 20 11 19 49 19 31 19 16 19 03 18 42 18 23 18 05 17 48 17 30 17 08 16 56 16 4232 20 41 20 12 19 50 19 32 19 17 19 05 18 43 18 24 18 07 17 50 17 32 17 11 16 59 16 4536 20 39 20 11 19 49 19 32 19 18 19 05 18 44 18 26 18 09 17 52 17 34 17 14 17 02 16 49



SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


5 6 00 6 01 6 02 6 03 6 05 6 06 6 07 6 09 6 11 6 13 6 15 6 17 6 20 6 239 6 04 6 05 6 07 6 09 6 10 6 12 6 14 6 16 6 19 6 21 6 24 6 28 6 32 6 36

13 6 08 6 10 6 12 6 14 6 16 6 18 6 21 6 24 6 27 6 30 6 34 6 38 6 43 6 4917 6 12 6 15 6 17 6 19 6 22 6 25 6 28 6 31 6 35 6 39 6 44 6 49 6 55 7 02

21 6 17 6 19 6 22 6 25 6 28 6 31 6 35 6 39 6 43 6 48 6 54 7 00 7 08 7 1625 6 21 6 24 6 27 6 30 6 34 6 38 6 42 6 47 6 52 6 58 7 04 7 11 7 20 7 3029 6 25 6 29 6 32 6 36 6 40 6 44 6 49 6 54 7 00 7 07 7 14 7 23 7 32 7 44

Nov. 2 6 30 6 34 6 38 6 42 6 46 6 51 6 56 7 02 7 09 7 16 7 24 7 34 7 45 7 586 6 35 6 39 6 43 6 47 6 52 6 58 7 04 7 10 7 17 7 25 7 35 7 45 7 58 8 13

10 6 39 6 44 6 48 6 53 6 58 7 04 7 11 7 18 7 26 7 35 7 45 7 57 8 11 8 2814 6 44 6 48 6 53 6 59 7 05 7 11 7 18 7 26 7 34 7 44 7 55 8 08 8 24 8 4318 6 48 6 53 6 59 7 04 7 11 7 17 7 25 7 33 7 42 7 53 8 05 8 19 8 37 8 5822 6 53 6 58 7 04 7 10 7 16 7 24 7 32 7 40 7 50 8 02 8 15 8 30 8 49 9 1326 6 57 7 03 7 09 7 15 7 22 7 30 7 38 7 47 7 58 8 10 8 24 8 41 9 01 9 28

30 7 01 7 07 7 13 7 20 7 27 7 35 7 44 7 54 8 05 8 18 8 33 8 51 9 13 9 43Dec. 4 7 05 7 11 7 18 7 25 7 32 7 40 7 50 8 00 8 11 8 25 8 41 9 00 9 24 9 57

8 7 09 7 15 7 22 7 29 7 37 7 45 7 55 8 05 8 17 8 31 8 48 9 08 9 33 10 1012 7 12 7 19 7 25 7 33 7 40 7 49 7 59 8 10 8 22 8 36 8 53 9 14 9 41 10 2016 7 15 7 22 7 28 7 36 7 44 7 53 8 02 8 13 8 26 8 41 8 58 9 19 9 47 10 29

20 7 18 7 24 7 31 7 38 7 46 7 55 8 05 8 16 8 29 8 44 9 01 9 23 9 51 10 3424 7 20 7 26 7 33 7 40 7 48 7 57 8 07 8 18 8 31 8 46 9 03 9 25 9 53 10 3528 7 21 7 27 7 34 7 41 7 49 7 58 8 08 8 19 8 32 8 46 9 03 9 25 9 52 10 3332 7 22 7 28 7 35 7 42 7 50 7 59 8 08 8 19 8 31 8 45 9 02 9 23 9 50 10 2836 7 22 7 28 7 35 7 42 7 49 7 58 8 07 8 18 8 30 8 44 9 00 9 20 9 45 10 20

SUNSET


5 17 36 17 35 17 34 17 33 17 31 17 30 17 29 17 27 17 25 17 23 17 21 17 18 17 16 17 129 17 30 17 28 17 27 17 25 17 23 17 22 17 20 17 17 17 15 17 12 17 09 17 06 17 02 16 57

13 17 24 17 22 17 20 17 18 17 16 17 13 17 11 17 08 17 05 17 01 16 57 16 53 16 48 16 4217 17 18 17 16 17 13 17 11 17 08 17 05 17 02 16 58 16 55 16 50 16 46 16 40 16 34 16 27

21 17 12 17 09 17 07 17 04 17 01 16 57 16 53 16 49 16 45 16 40 16 34 16 28 16 21 16 1225 17 07 17 04 17 00 16 57 16 54 16 50 16 45 16 41 16 35 16 30 16 23 16 16 16 07 15 5729 17 01 16 58 16 55 16 51 16 47 16 42 16 37 16 32 16 26 16 20 16 12 16 04 15 54 15 42

Nov. 2 16 57 16 53 16 49 16 45 16 40 16 35 16 30 16 24 16 17 16 10 16 02 15 52 15 41 15 286 16 52 16 48 16 44 16 39 16 34 16 29 16 23 16 16 16 09 16 01 15 52 15 41 15 28 15 13

10 16 48 16 44 16 39 16 34 16 29 16 23 16 16 16 09 16 01 15 52 15 42 15 30 15 16 14 5914 16 45 16 40 16 35 16 30 16 24 16 17 16 10 16 03 15 54 15 44 15 33 15 20 15 04 14 4518 16 42 16 37 16 31 16 25 16 19 16 12 16 05 15 57 15 47 15 37 15 25 15 10 14 53 14 3122 16 39 16 34 16 28 16 22 16 15 16 08 16 00 15 51 15 41 15 30 15 17 15 01 14 42 14 1826 16 37 16 31 16 26 16 19 16 12 16 05 15 56 15 47 15 36 15 24 15 10 14 53 14 32 14 06

30 16 36 16 30 16 24 16 17 16 10 16 02 15 53 15 43 15 32 15 19 15 04 14 46 14 24 13 54Dec. 4 16 35 16 29 16 22 16 15 16 08 16 00 15 51 15 40 15 29 15 15 14 59 14 40 14 16 13 43

8 16 35 16 28 16 22 16 15 16 07 15 58 15 49 15 38 15 26 15 12 14 56 14 36 14 10 13 3412 16 35 16 29 16 22 16 15 16 07 15 58 15 48 15 37 15 25 15 11 14 54 14 33 14 06 13 2716 16 36 16 30 16 23 16 15 16 07 15 59 15 49 15 38 15 25 15 10 14 53 14 32 14 04 13 22

20 16 37 16 31 16 24 16 17 16 09 16 00 15 50 15 39 15 26 15 11 14 54 14 32 14 04 13 2124 16 40 16 33 16 26 16 19 16 11 16 02 15 52 15 41 15 28 15 14 14 56 14 34 14 06 13 2428 16 42 16 36 16 29 16 22 16 14 16 05 15 55 15 44 15 32 15 17 15 00 14 38 14 11 13 3032 16 45 16 39 16 32 16 25 16 17 16 09 15 59 15 48 15 36 15 22 15 05 14 44 14 17 13 3936 16 49 16 43 16 36 16 29 16 21 16 13 16 04 15 53 15 41 15 27 15 11 14 51 14 26 13 51


MOONRISE AND MOONSET, 201832UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mJan. 0 18 41 18 19 18 02 17 48 17 36 17 26 17 08 16 52 16 38 16 24 16 08 15 51 15 41 15 29

1 19 53 19 29 19 11 18 56 18 43 18 32 18 13 17 57 17 41 17 26 17 10 16 51 16 40 16 272 20 53 20 30 20 12 19 58 19 45 19 35 19 16 19 00 18 45 18 30 18 14 17 56 17 45 17 333 21 39 21 20 21 04 20 52 20 41 20 31 20 15 20 01 19 47 19 34 19 19 19 03 18 53 18 424 22 15 22 00 21 48 21 38 21 29 21 21 21 08 20 57 20 46 20 35 20 23 20 10 20 02 19 54

5 22 43 22 33 22 24 22 17 22 11 22 06 21 56 21 48 21 41 21 33 21 25 21 15 21 10 21 036 23 07 23 01 22 56 22 52 22 49 22 46 22 40 22 36 22 31 22 27 22 22 22 17 22 14 22 117 23 27 23 26 23 25 23 24 23 23 23 23 23 22 23 20 23 20 23 19 23 18 23 16 23 16 23 158 23 47 23 50 23 53 23 55 23 56 23 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 . . . . . . . . . . . . . . . . . . . . . . . . 0 01 0 03 0 06 0 08 0 11 0 13 0 15 0 17

10 0 07 0 14 0 20 0 25 0 29 0 33 0 39 0 45 0 51 0 56 1 02 1 09 1 13 1 1711 0 28 0 39 0 48 0 56 1 02 1 08 1 18 1 27 1 35 1 44 1 53 2 03 2 09 2 1612 0 52 1 07 1 19 1 29 1 37 1 45 1 58 2 10 2 20 2 31 2 43 2 57 3 04 3 1313 1 19 1 38 1 53 2 05 2 15 2 24 2 40 2 53 3 06 3 19 3 33 3 49 3 59 4 0914 1 53 2 14 2 30 2 44 2 56 3 06 3 23 3 39 3 53 4 08 4 23 4 41 4 51 5 03

15 2 33 2 55 3 13 3 28 3 40 3 51 4 09 4 26 4 41 4 56 5 12 5 31 5 42 5 5416 3 20 3 43 4 01 4 16 4 28 4 39 4 57 5 14 5 29 5 44 6 00 6 19 6 30 6 4217 4 15 4 37 4 54 5 07 5 19 5 29 5 47 6 02 6 17 6 31 6 46 7 04 7 14 7 2618 5 16 5 35 5 50 6 02 6 13 6 22 6 38 6 51 7 04 7 17 7 31 7 46 7 55 8 0619 6 21 6 37 6 49 6 59 7 08 7 15 7 28 7 40 7 51 8 01 8 13 8 26 8 33 8 42

20 7 29 7 41 7 50 7 57 8 04 8 10 8 20 8 28 8 36 8 45 8 53 9 03 9 09 9 1521 8 39 8 46 8 52 8 57 9 01 9 05 9 11 9 16 9 22 9 27 9 32 9 39 9 42 9 4622 9 51 9 53 9 55 9 57 9 59 10 00 10 03 10 05 10 07 10 09 10 11 10 14 10 15 10 1723 11 04 11 02 11 00 10 59 10 58 10 57 10 55 10 54 10 53 10 52 10 50 10 49 10 48 10 4724 12 19 12 12 12 07 12 03 11 59 11 56 11 50 11 45 11 40 11 36 11 31 11 25 11 22 11 19

MOONSET


1 3 00 3 23 3 41 3 55 4 08 4 18 4 37 4 53 5 08 5 23 5 39 5 57 6 08 6 202 4 00 4 24 4 42 4 57 5 10 5 21 5 40 5 56 6 12 6 27 6 43 7 02 7 13 7 263 5 12 5 34 5 51 6 05 6 17 6 27 6 45 7 01 7 15 7 29 7 45 8 02 8 12 8 244 6 31 6 50 7 04 7 16 7 26 7 35 7 50 8 03 8 16 8 28 8 41 8 55 9 04 9 14

5 7 53 8 07 8 18 8 27 8 35 8 41 8 53 9 03 9 12 9 22 9 32 9 43 9 49 9 566 9 14 9 23 9 30 9 36 9 41 9 45 9 53 9 59 10 05 10 11 10 18 10 25 10 29 10 347 10 32 10 36 10 39 10 42 10 44 10 46 10 49 10 52 10 55 10 57 11 00 11 03 11 05 11 078 11 47 11 46 11 46 11 45 11 45 11 44 11 43 11 42 11 42 11 41 11 40 11 39 11 39 11 389 13 00 12 54 12 50 12 46 12 43 12 40 12 35 12 31 12 27 12 23 12 19 12 14 12 12 12 08

10 14 10 14 00 13 52 13 46 13 40 13 35 13 27 13 19 13 12 13 05 12 58 12 49 12 44 12 3911 15 18 15 04 14 53 14 44 14 36 14 29 14 17 14 07 13 57 13 47 13 37 13 25 13 19 13 1112 16 23 16 06 15 52 15 40 15 31 15 22 15 07 14 55 14 43 14 31 14 18 14 03 13 55 13 4513 17 25 17 05 16 49 16 35 16 24 16 14 15 57 15 43 15 29 15 15 15 01 14 44 14 34 14 2314 18 23 18 00 17 42 17 28 17 16 17 05 16 47 16 31 16 16 16 01 15 45 15 27 15 17 15 04

15 19 13 18 50 18 32 18 18 18 05 17 54 17 36 17 19 17 04 16 49 16 32 16 14 16 03 15 5016 19 57 19 35 19 17 19 03 18 51 18 41 18 23 18 07 17 52 17 37 17 21 17 03 16 52 16 4017 20 33 20 14 19 58 19 45 19 34 19 24 19 08 18 53 18 40 18 26 18 11 17 54 17 45 17 3318 21 04 20 47 20 34 20 23 20 14 20 05 19 51 19 38 19 27 19 15 19 02 18 47 18 39 18 2919 21 29 21 17 21 06 20 58 20 50 20 44 20 32 20 22 20 13 20 03 19 53 19 41 19 35 19 27

20 21 52 21 43 21 36 21 30 21 25 21 20 21 12 21 05 20 58 20 52 20 44 20 36 20 31 20 2621 22 12 22 07 22 04 22 00 21 58 21 55 21 51 21 47 21 43 21 40 21 36 21 31 21 29 21 2622 22 31 22 31 22 31 22 30 22 30 22 30 22 30 22 29 22 29 22 28 22 28 22 27 22 27 22 2723 22 51 22 55 22 58 23 01 23 03 23 06 23 09 23 12 23 15 23 18 23 21 23 25 23 27 23 2924 23 13 23 21 23 28 23 34 23 39 23 43 23 51 23 57 . . . . . . . . . . . . . . . . . . . . . . . .

. . . . indicates phenomenon will occur the next day.


MOONRISE AND MOONSET, 2018 33UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


1 16 27 16 22 16 16 16 09 16 02 15 55 15 46 15 37 15 26 15 14 15 00 14 43 14 22 13 562 17 33 17 27 17 21 17 15 17 08 17 00 16 52 16 43 16 32 16 20 16 06 15 49 15 29 15 033 18 42 18 37 18 32 18 27 18 20 18 14 18 06 17 58 17 49 17 38 17 26 17 12 16 55 16 344 19 54 19 50 19 45 19 41 19 36 19 31 19 25 19 18 19 11 19 03 18 54 18 43 18 30 18 15

5 21 03 21 01 20 58 20 55 20 51 20 47 20 43 20 39 20 34 20 28 20 22 20 15 20 07 19 576 22 11 22 09 22 07 22 06 22 04 22 02 22 00 21 57 21 54 21 51 21 48 21 44 21 40 21 357 23 15 23 15 23 14 23 14 23 14 23 13 23 13 23 12 23 12 23 11 23 11 23 10 23 09 23 088 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 25 0 26 0 28 0 30 0 32 0 35 0 37

10 1 17 1 19 1 21 1 24 1 26 1 29 1 32 1 35 1 38 1 42 1 47 1 52 1 58 2 0411 2 16 2 19 2 22 2 26 2 29 2 34 2 38 2 43 2 48 2 55 3 02 3 09 3 19 3 3012 3 13 3 17 3 21 3 26 3 31 3 36 3 42 3 49 3 56 4 04 4 14 4 25 4 38 4 5313 4 09 4 14 4 19 4 25 4 30 4 37 4 44 4 52 5 01 5 11 5 23 5 37 5 53 6 1414 5 03 5 08 5 14 5 20 5 27 5 34 5 42 5 51 6 02 6 13 6 27 6 43 7 02 7 27

15 5 54 6 00 6 06 6 12 6 19 6 27 6 36 6 45 6 56 7 08 7 23 7 40 8 01 8 2916 6 42 6 48 6 53 7 00 7 07 7 15 7 23 7 32 7 43 7 55 8 09 8 26 8 47 9 1417 7 26 7 31 7 37 7 43 7 49 7 56 8 04 8 13 8 23 8 34 8 47 9 02 9 20 9 4318 8 06 8 10 8 15 8 20 8 26 8 32 8 39 8 47 8 55 9 05 9 16 9 28 9 43 10 0119 8 42 8 46 8 50 8 54 8 59 9 04 9 09 9 15 9 22 9 30 9 38 9 48 10 00 10 13

20 9 15 9 18 9 21 9 24 9 28 9 31 9 35 9 40 9 45 9 50 9 57 10 04 10 12 10 2121 9 46 9 48 9 50 9 52 9 54 9 57 9 59 10 02 10 05 10 09 10 12 10 17 10 22 10 2822 10 17 10 17 10 18 10 19 10 20 10 21 10 22 10 23 10 24 10 25 10 27 10 29 10 30 10 3323 10 47 10 47 10 46 10 46 10 45 10 45 10 44 10 43 10 43 10 42 10 41 10 40 10 39 10 3824 11 19 11 17 11 15 11 14 11 12 11 10 11 07 11 05 11 02 10 59 10 56 10 52 10 48 10 43

MOONSET


1 6 20 6 26 6 32 6 38 6 45 6 53 7 01 7 10 7 21 7 33 7 47 8 03 8 24 8 502 7 26 7 31 7 37 7 44 7 51 7 58 8 07 8 16 8 27 8 39 8 53 9 10 9 31 9 573 8 24 8 29 8 34 8 40 8 47 8 54 9 01 9 10 9 19 9 30 9 43 9 57 10 15 10 374 9 14 9 18 9 22 9 27 9 33 9 38 9 45 9 52 10 00 10 08 10 18 10 30 10 43 10 59

5 9 56 10 00 10 03 10 07 10 11 10 15 10 20 10 25 10 30 10 37 10 44 10 52 11 01 11 126 10 34 10 36 10 38 10 40 10 43 10 45 10 48 10 52 10 55 10 59 11 03 11 08 11 14 11 217 11 07 11 08 11 09 11 10 11 11 11 12 11 13 11 15 11 16 11 18 11 20 11 22 11 24 11 278 11 38 11 38 11 38 11 37 11 37 11 37 11 36 11 36 11 35 11 35 11 34 11 34 11 33 11 329 12 08 12 07 12 06 12 04 12 02 12 01 11 59 11 56 11 54 11 51 11 49 11 45 11 41 11 37

10 12 39 12 37 12 34 12 31 12 28 12 25 12 22 12 18 12 13 12 09 12 03 11 58 11 51 11 4311 13 11 13 08 13 04 13 00 12 56 12 51 12 46 12 41 12 35 12 28 12 20 12 12 12 02 11 5012 13 45 13 41 13 36 13 32 13 26 13 20 13 14 13 07 12 59 12 51 12 41 12 29 12 16 12 0013 14 23 14 18 14 13 14 07 14 01 13 54 13 46 13 38 13 29 13 18 13 06 12 52 12 35 12 1414 15 04 14 59 14 53 14 47 14 40 14 33 14 24 14 15 14 05 13 53 13 39 13 23 13 03 12 38

15 15 50 15 45 15 39 15 32 15 25 15 17 15 09 14 59 14 48 14 36 14 21 14 04 13 43 13 1516 16 40 16 35 16 29 16 22 16 15 16 08 15 59 15 50 15 40 15 28 15 13 14 57 14 36 14 1017 17 33 17 28 17 23 17 17 17 11 17 04 16 56 16 48 16 38 16 27 16 15 16 00 15 42 15 1918 18 29 18 25 18 20 18 15 18 10 18 04 17 57 17 50 17 42 17 33 17 23 17 10 16 56 16 3819 19 27 19 24 19 20 19 16 19 12 19 07 19 02 18 56 18 50 18 43 18 35 18 26 18 15 18 02

20 20 26 20 23 20 21 20 18 20 15 20 12 20 08 20 04 20 00 19 55 19 50 19 44 19 36 19 2821 21 26 21 24 21 23 21 21 21 20 21 18 21 16 21 14 21 12 21 09 21 06 21 03 20 59 20 5522 22 27 22 27 22 26 22 26 22 26 22 26 22 26 22 25 22 25 22 25 22 24 22 24 22 23 22 2323 23 29 23 30 23 31 23 33 23 34 23 35 23 37 23 38 23 40 23 42 23 44 23 47 23 50 23 5324 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦


24 12 19 12 12 12 07 12 03 11 59 11 56 11 50 11 45 11 40 11 36 11 31 11 25 11 22 11 1925 13 36 13 25 13 16 13 08 13 02 12 56 12 46 12 38 12 30 12 22 12 14 12 04 11 59 11 5326 14 56 14 39 14 27 14 16 14 07 13 59 13 46 13 34 13 23 13 12 13 01 12 48 12 40 12 3227 16 14 15 54 15 38 15 25 15 14 15 04 14 48 14 33 14 20 14 06 13 52 13 36 13 27 13 16

28 17 28 17 05 16 47 16 33 16 20 16 09 15 51 15 35 15 20 15 05 14 49 14 31 14 20 14 0829 18 33 18 10 17 52 17 37 17 24 17 13 16 54 16 37 16 22 16 07 15 50 15 32 15 21 15 0830 19 27 19 05 18 48 18 34 18 23 18 12 17 55 17 39 17 25 17 10 16 55 16 37 16 27 16 1531 20 08 19 51 19 37 19 25 19 15 19 06 18 51 18 38 18 26 18 13 18 00 17 45 17 36 17 26

Feb. 1 20 41 20 28 20 18 20 09 20 01 19 55 19 43 19 33 19 24 19 14 19 04 18 52 18 46 18 38

2 21 08 20 59 20 53 20 47 20 42 20 38 20 31 20 24 20 18 20 12 20 05 19 58 19 54 19 493 21 30 21 27 21 24 21 22 21 20 21 18 21 15 21 12 21 09 21 07 21 04 21 01 20 59 20 574 21 51 21 52 21 53 21 54 21 54 21 55 21 56 21 57 21 58 21 59 22 00 22 01 22 01 22 025 22 11 22 17 22 21 22 25 22 28 22 31 22 36 22 41 22 45 22 49 22 53 22 59 23 02 23 056 22 32 22 42 22 50 22 56 23 02 23 07 23 16 23 23 23 31 23 38 23 46 23 55 . . . . . . . .

7 22 55 23 09 23 20 23 29 23 37 23 44 23 56 . . . . . . . . . . . . . . . . . . . . 0 00 0 068 23 22 23 39 23 53 . . . . . . . . . . . . . . . . 0 06 0 16 0 26 0 37 0 49 0 57 1 059 23 53 . . . . . . . . 0 04 0 14 0 22 0 37 0 50 1 02 1 15 1 28 1 43 1 52 2 02

10 . . . . 0 13 0 29 0 42 0 54 1 03 1 20 1 35 1 49 2 03 2 18 2 35 2 45 2 5711 0 30 0 53 1 10 1 25 1 37 1 47 2 06 2 22 2 36 2 51 3 07 3 26 3 37 3 49

12 1 15 1 38 1 56 2 11 2 23 2 34 2 53 3 09 3 24 3 40 3 56 4 15 4 25 4 3813 2 07 2 30 2 47 3 01 3 13 3 24 3 42 3 58 4 12 4 27 4 43 5 01 5 11 5 2314 3 06 3 26 3 42 3 55 4 06 4 16 4 32 4 47 5 00 5 13 5 28 5 44 5 54 6 0415 4 11 4 28 4 41 4 52 5 01 5 09 5 23 5 36 5 47 5 59 6 11 6 25 6 33 6 4216 5 19 5 32 5 42 5 50 5 58 6 04 6 15 6 25 6 34 6 43 6 52 7 03 7 10 7 17

MOONSET


24 23 13 23 21 23 28 23 34 23 39 23 43 23 51 23 57 . . . . . . . . . . . . . . . . . . . . . . . .25 23 38 23 51 . . . . . . . . . . . . . . . . . . . . . . . . 0 04 0 10 0 17 0 24 0 29 0 3426 . . . . . . . . 0 01 0 10 0 17 0 24 0 35 0 45 0 55 1 04 1 14 1 26 1 33 1 4027 0 09 0 26 0 40 0 51 1 01 1 10 1 24 1 37 1 50 2 02 2 15 2 30 2 39 2 49

28 0 48 1 09 1 26 1 39 1 51 2 01 2 18 2 34 2 48 3 02 3 18 3 35 3 45 3 5729 1 39 2 02 2 20 2 35 2 48 2 59 3 18 3 34 3 49 4 05 4 21 4 40 4 51 5 0330 2 43 3 06 3 24 3 39 3 51 4 02 4 21 4 37 4 52 5 07 5 23 5 41 5 52 6 0431 3 58 4 19 4 35 4 48 4 59 5 09 5 26 5 40 5 54 6 08 6 22 6 38 6 48 6 59

Feb. 1 5 20 5 36 5 49 6 00 6 09 6 17 6 31 6 43 6 54 7 05 7 16 7 30 7 37 7 46

2 6 44 6 55 7 04 7 12 7 18 7 24 7 34 7 42 7 50 7 58 8 06 8 15 8 21 8 273 8 06 8 12 8 17 8 21 8 25 8 28 8 34 8 38 8 43 8 47 8 52 8 57 9 00 9 034 9 25 9 26 9 28 9 28 9 29 9 30 9 31 9 32 9 33 9 33 9 34 9 35 9 36 9 365 10 41 10 38 10 35 10 33 10 31 10 29 10 26 10 23 10 20 10 18 10 15 10 12 10 10 10 086 11 54 11 46 11 40 11 34 11 30 11 26 11 19 11 13 11 07 11 01 10 55 10 48 10 44 10 39

7 13 05 12 52 12 43 12 34 12 27 12 21 12 11 12 01 11 53 11 44 11 35 11 24 11 18 11 118 14 12 13 56 13 43 13 32 13 23 13 15 13 02 12 50 12 39 12 27 12 15 12 02 11 54 11 459 15 16 14 57 14 41 14 29 14 18 14 08 13 52 13 38 13 25 13 12 12 58 12 42 12 32 12 22

10 16 15 15 53 15 36 15 22 15 10 15 00 14 42 14 26 14 12 13 57 13 42 13 24 13 14 13 0211 17 09 16 45 16 27 16 13 16 00 15 50 15 31 15 15 15 00 14 44 14 28 14 09 13 59 13 46

12 17 55 17 32 17 14 17 00 16 48 16 37 16 19 16 03 15 47 15 32 15 16 14 58 14 47 14 3413 18 34 18 13 17 57 17 43 17 32 17 22 17 05 16 50 16 35 16 21 16 06 15 49 15 38 15 2714 19 06 18 48 18 34 18 23 18 13 18 04 17 49 17 35 17 23 17 10 16 57 16 41 16 32 16 2215 19 34 19 19 19 08 18 59 18 51 18 43 18 31 18 20 18 10 17 59 17 48 17 36 17 28 17 2016 19 57 19 47 19 39 19 32 19 26 19 21 19 12 19 04 18 56 18 48 18 40 18 31 18 25 18 19




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


24 11 19 11 17 11 15 11 14 11 12 11 10 11 07 11 05 11 02 10 59 10 56 10 52 10 48 10 4325 11 53 11 50 11 47 11 44 11 41 11 37 11 33 11 29 11 25 11 19 11 13 11 07 10 59 10 5026 12 32 12 28 12 24 12 19 12 15 12 10 12 04 11 58 11 51 11 44 11 35 11 25 11 14 11 0027 13 16 13 11 13 06 13 01 12 55 12 49 12 42 12 34 12 25 12 15 12 04 11 51 11 36 11 17

28 14 08 14 03 13 57 13 51 13 44 13 37 13 28 13 19 13 09 12 58 12 44 12 28 12 09 11 4529 15 08 15 03 14 57 14 50 14 43 14 35 14 27 14 17 14 06 13 54 13 40 13 23 13 02 12 3530 16 15 16 10 16 04 15 58 15 51 15 44 15 36 15 27 15 17 15 05 14 52 14 36 14 17 13 5331 17 26 17 21 17 17 17 11 17 06 17 00 16 53 16 45 16 37 16 28 16 17 16 04 15 49 15 30

Feb. 1 18 38 18 35 18 31 18 27 18 23 18 18 18 13 18 08 18 01 17 54 17 47 17 37 17 27 17 14

2 19 49 19 47 19 44 19 42 19 39 19 36 19 33 19 29 19 26 19 21 19 16 19 11 19 04 18 573 20 57 20 56 20 55 20 54 20 53 20 52 20 50 20 49 20 47 20 46 20 44 20 41 20 39 20 364 22 02 22 03 22 03 22 03 22 04 22 04 22 05 22 05 22 06 22 06 22 07 22 08 22 09 22 105 23 05 23 07 23 08 23 10 23 12 23 14 23 16 23 19 23 21 23 24 23 28 23 32 23 36 23 416 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7 0 06 0 09 0 11 0 14 0 18 0 21 0 25 0 29 0 34 0 39 0 45 0 52 1 00 1 098 1 05 1 08 1 12 1 16 1 21 1 26 1 31 1 37 1 44 1 51 2 00 2 10 2 21 2 359 2 02 2 06 2 11 2 16 2 22 2 28 2 35 2 42 2 51 3 00 3 11 3 24 3 39 3 58

10 2 57 3 02 3 07 3 13 3 20 3 27 3 35 3 43 3 53 4 04 4 17 4 32 4 51 5 1411 3 49 3 55 4 00 4 07 4 14 4 21 4 30 4 39 4 50 5 02 5 16 5 33 5 54 6 21

12 4 38 4 44 4 50 4 56 5 03 5 11 5 19 5 29 5 40 5 52 6 06 6 23 6 45 7 1213 5 23 5 29 5 34 5 40 5 47 5 55 6 03 6 12 6 22 6 33 6 47 7 03 7 22 7 4614 6 04 6 09 6 14 6 20 6 26 6 33 6 40 6 48 6 57 7 07 7 19 7 32 7 48 8 0815 6 42 6 46 6 51 6 55 7 00 7 06 7 12 7 18 7 26 7 34 7 43 7 54 8 07 8 2216 7 17 7 20 7 23 7 27 7 31 7 35 7 40 7 45 7 50 7 56 8 03 8 11 8 21 8 32

MOONSET


24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25 0 34 0 36 0 38 0 41 0 44 0 47 0 50 0 53 0 57 1 02 1 07 1 12 1 19 1 2726 1 40 1 44 1 47 1 51 1 55 2 00 2 05 2 11 2 17 2 24 2 31 2 40 2 51 3 0427 2 49 2 53 2 58 3 03 3 08 3 14 3 21 3 28 3 37 3 46 3 57 4 09 4 24 4 42

28 3 57 4 02 4 08 4 14 4 20 4 28 4 36 4 44 4 54 5 06 5 19 5 34 5 53 6 1729 5 03 5 09 5 15 5 21 5 28 5 36 5 44 5 54 6 05 6 17 6 31 6 48 7 09 7 3630 6 04 6 10 6 16 6 22 6 29 6 36 6 44 6 53 7 04 7 16 7 29 7 45 8 05 8 2931 6 59 7 03 7 09 7 14 7 20 7 27 7 34 7 42 7 50 8 00 8 12 8 25 8 41 9 00

Feb. 1 7 46 7 50 7 54 7 58 8 03 8 08 8 14 8 20 8 27 8 34 8 43 8 53 9 04 9 18

2 8 27 8 30 8 32 8 35 8 39 8 42 8 46 8 50 8 55 9 00 9 06 9 13 9 20 9 293 9 03 9 05 9 06 9 08 9 10 9 12 9 14 9 16 9 19 9 21 9 24 9 28 9 32 9 364 9 36 9 37 9 37 9 37 9 38 9 38 9 38 9 39 9 39 9 40 9 40 9 41 9 42 9 425 10 08 10 07 10 06 10 05 10 04 10 03 10 02 10 00 9 59 9 57 9 55 9 53 9 51 9 486 10 39 10 37 10 35 10 33 10 30 10 28 10 25 10 22 10 18 10 14 10 10 10 05 10 00 9 53

7 11 11 11 08 11 05 11 02 10 58 10 54 10 49 10 45 10 39 10 33 10 27 10 19 10 10 10 008 11 45 11 41 11 37 11 32 11 28 11 22 11 16 11 10 11 03 10 55 10 46 10 35 10 23 10 099 12 22 12 17 12 12 12 07 12 01 11 54 11 47 11 39 11 31 11 21 11 09 10 56 10 41 10 21

10 13 02 12 57 12 51 12 45 12 38 12 31 12 23 12 14 12 04 11 53 11 40 11 24 11 05 10 4111 13 46 13 41 13 35 13 28 13 21 13 13 13 05 12 55 12 45 12 32 12 18 12 01 11 40 11 13

12 14 34 14 29 14 23 14 17 14 09 14 02 13 53 13 44 13 33 13 21 13 07 12 50 12 29 12 0113 15 27 15 21 15 16 15 10 15 03 14 56 14 48 14 39 14 29 14 18 14 05 13 49 13 30 13 0614 16 22 16 17 16 13 16 07 16 01 15 55 15 48 15 41 15 32 15 22 15 11 14 58 14 42 14 2315 17 20 17 16 17 12 17 08 17 03 16 58 16 52 16 46 16 39 16 31 16 23 16 12 16 00 15 4616 18 19 18 16 18 13 18 10 18 07 18 03 17 59 17 54 17 49 17 44 17 38 17 30 17 22 17 12




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mFeb. 15 4 11 4 28 4 41 4 52 5 01 5 09 5 23 5 36 5 47 5 59 6 11 6 25 6 33 6 42

16 5 19 5 32 5 42 5 50 5 58 6 04 6 15 6 25 6 34 6 43 6 52 7 03 7 10 7 1717 6 29 6 38 6 44 6 50 6 55 6 59 7 07 7 14 7 20 7 26 7 32 7 40 7 44 7 4918 7 41 7 45 7 48 7 51 7 53 7 56 7 59 8 02 8 05 8 08 8 12 8 15 8 17 8 2019 8 54 8 54 8 53 8 53 8 53 8 52 8 52 8 52 8 51 8 51 8 51 8 51 8 50 8 50

20 10 09 10 03 9 59 9 56 9 53 9 50 9 46 9 42 9 38 9 35 9 31 9 27 9 24 9 2121 11 25 11 15 11 07 11 00 10 55 10 50 10 41 10 34 10 27 10 20 10 13 10 04 10 00 9 5422 12 42 12 27 12 16 12 06 11 58 11 51 11 38 11 28 11 18 11 08 10 57 10 45 10 38 10 3123 13 59 13 40 13 25 13 12 13 02 12 53 12 37 12 24 12 11 11 59 11 46 11 30 11 22 11 1224 15 12 14 50 14 33 14 18 14 06 13 56 13 38 13 23 13 08 12 54 12 38 12 21 12 11 11 59

25 16 19 15 55 15 37 15 22 15 09 14 58 14 39 14 23 14 07 13 52 13 36 13 17 13 06 12 5326 17 15 16 53 16 35 16 20 16 08 15 57 15 39 15 23 15 08 14 53 14 37 14 18 14 07 13 5527 18 01 17 41 17 25 17 13 17 02 16 52 16 36 16 21 16 08 15 54 15 40 15 23 15 13 15 0228 18 37 18 21 18 09 17 59 17 50 17 42 17 29 17 17 17 06 16 55 16 43 16 29 16 22 16 13

Mar. 1 19 06 18 55 18 47 18 39 18 33 18 28 18 18 18 10 18 02 17 54 17 45 17 36 17 30 17 24

2 19 30 19 25 19 20 19 16 19 12 19 09 19 04 18 59 18 55 18 50 18 45 18 40 18 37 18 333 19 52 19 51 19 50 19 49 19 49 19 48 19 47 19 46 19 45 19 44 19 44 19 43 19 42 19 414 20 13 20 17 20 19 20 22 20 24 20 25 20 29 20 31 20 34 20 37 20 40 20 43 20 45 20 475 20 34 20 42 20 48 20 54 20 58 21 02 21 09 21 16 21 22 21 28 21 34 21 41 21 46 21 506 20 57 21 09 21 18 21 26 21 33 21 40 21 50 22 00 22 09 22 18 22 27 22 38 22 45 22 52

7 21 22 21 38 21 51 22 01 22 10 22 18 22 32 22 44 22 56 23 07 23 19 23 33 23 42 23 518 21 51 22 11 22 26 22 39 22 49 22 59 23 15 23 29 23 43 23 56 . . . . . . . . . . . . . . . .9 22 27 22 48 23 06 23 20 23 31 23 42 . . . . . . . . . . . . . . . . 0 11 0 27 0 37 0 48

10 23 09 23 32 23 50 . . . . . . . . . . . . 0 00 0 16 0 30 0 45 1 01 1 19 1 30 1 4211 23 58 . . . . . . . . 0 04 0 17 0 28 0 47 1 03 1 18 1 33 1 50 2 09 2 20 2 32

MOONSET


16 19 57 19 47 19 39 19 32 19 26 19 21 19 12 19 04 18 56 18 48 18 40 18 31 18 25 18 1917 20 18 20 12 20 07 20 03 20 00 19 57 19 51 19 46 19 42 19 37 19 32 19 26 19 23 19 1918 20 38 20 36 20 35 20 34 20 33 20 32 20 30 20 29 20 27 20 26 20 24 20 23 20 22 20 2119 20 58 21 00 21 03 21 04 21 06 21 07 21 10 21 12 21 14 21 16 21 18 21 20 21 21 21 23

20 21 19 21 26 21 31 21 36 21 40 21 44 21 50 21 56 22 01 22 06 22 12 22 19 22 22 22 2621 21 42 21 53 22 03 22 10 22 17 22 23 22 33 22 42 22 51 22 59 23 08 23 19 23 25 23 3122 22 10 22 26 22 38 22 49 22 58 23 06 23 20 23 32 23 43 23 54 . . . . . . . . . . . . . . . .23 22 44 23 04 23 20 23 33 23 44 23 53 . . . . . . . . . . . . . . . . 0 06 0 20 0 28 0 3824 23 28 23 51 . . . . . . . . . . . . . . . . 0 10 0 24 0 38 0 52 1 06 1 23 1 33 1 44

25 . . . . . . . . 0 09 0 23 0 36 0 46 1 05 1 21 1 36 1 51 2 07 2 26 2 36 2 4926 0 24 0 48 1 06 1 21 1 34 1 45 2 04 2 21 2 36 2 51 3 08 3 26 3 37 3 5027 1 32 1 55 2 12 2 26 2 38 2 49 3 06 3 22 3 36 3 51 4 06 4 24 4 34 4 4528 2 50 3 09 3 23 3 35 3 46 3 55 4 10 4 23 4 36 4 48 5 01 5 16 5 25 5 35

Mar. 1 4 12 4 26 4 37 4 46 4 54 5 01 5 13 5 23 5 33 5 42 5 52 6 04 6 10 6 18

2 5 35 5 44 5 51 5 57 6 02 6 07 6 14 6 21 6 27 6 33 6 40 6 47 6 52 6 563 6 57 7 01 7 04 7 06 7 08 7 10 7 13 7 16 7 19 7 22 7 24 7 27 7 29 7 314 8 16 8 15 8 14 8 13 8 12 8 12 8 11 8 10 8 09 8 08 8 07 8 06 8 05 8 045 9 32 9 26 9 22 9 18 9 14 9 11 9 06 9 01 8 57 8 52 8 48 8 43 8 40 8 366 10 46 10 36 10 27 10 20 10 14 10 09 10 00 9 52 9 44 9 37 9 29 9 20 9 14 9 09

7 11 57 11 42 11 30 11 20 11 12 11 05 10 52 10 41 10 31 10 21 10 10 9 58 9 50 9 428 13 04 12 45 12 31 12 19 12 08 11 59 11 44 11 31 11 18 11 06 10 52 10 37 10 28 10 189 14 06 13 44 13 28 13 14 13 02 12 52 12 35 12 20 12 06 11 51 11 36 11 19 11 09 10 57

10 15 02 14 39 14 21 14 06 13 54 13 43 13 25 13 08 12 53 12 38 12 22 12 04 11 53 11 4011 15 51 15 28 15 10 14 55 14 42 14 32 14 13 13 57 13 41 13 26 13 10 12 51 12 40 12 27




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


16 7 17 7 20 7 23 7 27 7 31 7 35 7 40 7 45 7 50 7 56 8 03 8 11 8 21 8 3217 7 49 7 51 7 53 7 56 7 58 8 01 8 04 8 08 8 11 8 16 8 20 8 25 8 31 8 3818 8 20 8 21 8 22 8 23 8 24 8 26 8 27 8 29 8 31 8 33 8 35 8 38 8 40 8 4419 8 50 8 50 8 50 8 50 8 50 8 50 8 50 8 50 8 49 8 49 8 49 8 49 8 49 8 49

20 9 21 9 20 9 19 9 17 9 16 9 14 9 13 9 11 9 09 9 06 9 04 9 01 8 58 8 5421 9 54 9 52 9 49 9 47 9 44 9 41 9 37 9 34 9 30 9 25 9 20 9 14 9 08 9 0022 10 31 10 27 10 23 10 20 10 15 10 11 10 06 10 00 9 54 9 47 9 40 9 31 9 21 9 0923 11 12 11 07 11 02 10 57 10 52 10 46 10 39 10 32 10 24 10 15 10 05 9 53 9 39 9 2224 11 59 11 54 11 48 11 42 11 36 11 29 11 21 11 12 11 03 10 52 10 39 10 24 10 06 9 44

25 12 53 12 48 12 42 12 35 12 28 12 21 12 12 12 03 11 52 11 40 11 26 11 09 10 48 10 2226 13 55 13 50 13 44 13 37 13 30 13 23 13 14 13 05 12 55 12 42 12 28 12 12 11 51 11 2527 15 02 14 57 14 52 14 46 14 40 14 33 14 26 14 18 14 08 13 58 13 45 13 31 13 14 12 5228 16 13 16 09 16 04 16 00 15 55 15 49 15 43 15 37 15 29 15 21 15 12 15 01 14 48 14 32

Mar. 1 17 24 17 21 17 18 17 15 17 11 17 07 17 03 16 58 16 53 16 48 16 41 16 34 16 25 16 15

2 18 33 18 32 18 30 18 28 18 27 18 24 18 22 18 20 18 17 18 14 18 10 18 07 18 02 17 573 19 41 19 41 19 41 19 40 19 40 19 40 19 39 19 39 19 38 19 38 19 37 19 37 19 36 19 354 20 47 20 48 20 49 20 50 20 51 20 53 20 54 20 56 20 57 20 59 21 01 21 04 21 07 21 105 21 50 21 53 21 55 21 57 22 00 22 03 22 06 22 10 22 13 22 18 22 23 22 28 22 34 22 426 22 52 22 55 22 58 23 02 23 06 23 11 23 15 23 21 23 27 23 33 23 41 23 49 23 59 . . . .

7 23 51 23 55 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 118 . . . . . . . . 0 00 0 05 0 10 0 15 0 22 0 29 0 36 0 45 0 55 1 07 1 21 1 379 0 48 0 53 0 58 1 04 1 10 1 17 1 24 1 33 1 42 1 53 2 05 2 19 2 37 2 58

10 1 42 1 47 1 53 1 59 2 06 2 14 2 22 2 31 2 42 2 54 3 07 3 24 3 44 4 1011 2 32 2 38 2 44 2 50 2 57 3 05 3 14 3 24 3 34 3 47 4 01 4 19 4 40 5 08

MOONSET


16 18 19 18 16 18 13 18 10 18 07 18 03 17 59 17 54 17 49 17 44 17 38 17 30 17 22 17 1217 19 19 19 18 19 16 19 14 19 12 19 10 19 07 19 05 19 02 18 58 18 55 18 50 18 45 18 4018 20 21 20 20 20 19 20 19 20 18 20 18 20 17 20 16 20 15 20 14 20 13 20 12 20 10 20 0819 21 23 21 24 21 24 21 25 21 26 21 27 21 28 21 29 21 30 21 31 21 33 21 34 21 36 21 38

20 22 26 22 28 22 30 22 32 22 35 22 37 22 40 22 43 22 46 22 50 22 54 22 59 23 04 23 1121 23 31 23 34 23 38 23 41 23 45 23 49 23 53 23 58 . . . . . . . . . . . . . . . . . . . . . . . .22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 04 0 10 0 17 0 25 0 34 0 4523 0 38 0 42 0 46 0 51 0 56 1 01 1 08 1 14 1 22 1 30 1 40 1 51 2 05 2 2124 1 44 1 49 1 54 2 00 2 06 2 13 2 20 2 29 2 38 2 49 3 01 3 16 3 33 3 55

25 2 49 2 54 3 00 3 06 3 13 3 21 3 29 3 39 3 49 4 01 4 15 4 32 4 52 5 1926 3 50 3 55 4 01 4 08 4 15 4 22 4 31 4 40 4 51 5 03 5 17 5 34 5 55 6 2127 4 45 4 50 4 56 5 02 5 08 5 15 5 23 5 32 5 41 5 52 6 05 6 20 6 38 7 0028 5 35 5 39 5 44 5 49 5 54 6 00 6 06 6 13 6 21 6 30 6 40 6 52 7 06 7 22

Mar. 1 6 18 6 21 6 25 6 28 6 32 6 37 6 42 6 47 6 53 6 59 7 06 7 15 7 24 7 35

2 6 56 6 58 7 01 7 03 7 06 7 08 7 11 7 15 7 18 7 22 7 27 7 32 7 38 7 443 7 31 7 32 7 33 7 34 7 35 7 36 7 37 7 39 7 40 7 42 7 44 7 46 7 48 7 514 8 04 8 04 8 03 8 03 8 03 8 02 8 02 8 01 8 01 8 00 7 59 7 58 7 57 7 565 8 36 8 35 8 33 8 31 8 29 8 28 8 25 8 23 8 20 8 18 8 14 8 11 8 07 8 026 9 09 9 06 9 03 9 00 8 57 8 54 8 50 8 46 8 41 8 36 8 30 8 24 8 16 8 08

7 9 42 9 39 9 35 9 31 9 26 9 21 9 16 9 10 9 04 8 57 8 49 8 39 8 28 8 168 10 18 10 14 10 09 10 04 9 58 9 52 9 46 9 38 9 30 9 21 9 10 8 58 8 44 8 279 10 57 10 52 10 47 10 41 10 35 10 28 10 20 10 11 10 02 9 51 9 38 9 23 9 05 8 43

10 11 40 11 35 11 29 11 23 11 16 11 08 11 00 10 50 10 40 10 27 10 13 9 57 9 36 9 1011 12 27 12 22 12 16 12 09 12 02 11 54 11 46 11 36 11 25 11 13 10 58 10 41 10 19 9 51




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mMar. 9 22 27 22 48 23 06 23 20 23 31 23 42 . . . . . . . . . . . . . . . . 0 11 0 27 0 37 0 48

10 23 09 23 32 23 50 . . . . . . . . . . . . 0 00 0 16 0 30 0 45 1 01 1 19 1 30 1 4211 23 58 . . . . . . . . 0 04 0 17 0 28 0 47 1 03 1 18 1 33 1 50 2 09 2 20 2 3212 . . . . 0 21 0 39 0 53 1 06 1 16 1 35 1 51 2 06 2 21 2 37 2 56 3 06 3 1913 0 55 1 16 1 32 1 46 1 57 2 07 2 25 2 40 2 54 3 08 3 23 3 40 3 50 4 01

14 1 57 2 15 2 30 2 42 2 52 3 00 3 16 3 29 3 41 3 54 4 07 4 22 4 30 4 4015 3 04 3 19 3 30 3 40 3 48 3 55 4 07 4 18 4 28 4 38 4 49 5 01 5 08 5 1616 4 14 4 25 4 33 4 40 4 45 4 51 5 00 5 07 5 15 5 22 5 30 5 38 5 44 5 4917 5 27 5 32 5 37 5 41 5 44 5 47 5 52 5 57 6 01 6 05 6 10 6 15 6 18 6 2118 6 41 6 42 6 43 6 44 6 44 6 45 6 46 6 47 6 47 6 48 6 49 6 50 6 51 6 52

19 7 57 7 53 7 50 7 47 7 45 7 43 7 40 7 37 7 35 7 32 7 30 7 27 7 25 7 2320 9 14 9 05 8 58 8 53 8 48 8 43 8 36 8 30 8 24 8 18 8 11 8 04 8 00 7 5621 10 32 10 18 10 08 9 59 9 51 9 45 9 33 9 24 9 14 9 05 8 56 8 45 8 38 8 3122 11 49 11 32 11 17 11 06 10 56 10 47 10 32 10 20 10 08 9 56 9 43 9 29 9 20 9 1123 13 04 12 42 12 26 12 12 12 00 11 50 11 32 11 17 11 03 10 49 10 34 10 17 10 07 9 56

24 14 12 13 49 13 30 13 15 13 03 12 51 12 33 12 16 12 01 11 46 11 29 11 11 11 00 10 4725 15 11 14 47 14 29 14 14 14 01 13 50 13 31 13 15 12 59 12 44 12 28 12 09 11 58 11 4526 15 58 15 37 15 20 15 07 14 55 14 45 14 28 14 12 13 58 13 44 13 28 13 11 13 01 12 4927 16 36 16 19 16 05 15 54 15 44 15 35 15 20 15 07 14 55 14 43 14 30 14 15 14 06 13 5628 17 07 16 54 16 43 16 35 16 27 16 21 16 09 15 59 15 50 15 41 15 31 15 19 15 13 15 05

29 17 32 17 24 17 17 17 12 17 07 17 03 16 55 16 49 16 43 16 37 16 30 16 23 16 19 16 1430 17 54 17 51 17 48 17 46 17 44 17 42 17 39 17 36 17 34 17 31 17 28 17 25 17 24 17 2231 18 15 18 16 18 17 18 18 18 19 18 19 18 21 18 22 18 23 18 24 18 25 18 26 18 27 18 28

Apr. 1 18 35 18 41 18 46 18 50 18 53 18 56 19 02 19 06 19 11 19 15 19 20 19 26 19 29 19 332 18 57 19 07 19 15 19 22 19 28 19 34 19 43 19 51 19 59 20 06 20 15 20 24 20 30 20 36

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mMar. 9 14 06 13 44 13 28 13 14 13 02 12 52 12 35 12 20 12 06 11 51 11 36 11 19 11 09 10 57

10 15 02 14 39 14 21 14 06 13 54 13 43 13 25 13 08 12 53 12 38 12 22 12 04 11 53 11 4011 15 51 15 28 15 10 14 55 14 42 14 32 14 13 13 57 13 41 13 26 13 10 12 51 12 40 12 2712 16 32 16 10 15 53 15 40 15 28 15 17 14 59 14 44 14 29 14 15 13 59 13 41 13 30 13 1813 17 07 16 48 16 33 16 20 16 10 16 00 15 44 15 30 15 17 15 03 14 49 14 33 14 23 14 12

14 17 36 17 20 17 08 16 57 16 49 16 41 16 27 16 15 16 04 15 53 15 40 15 27 15 18 15 0915 18 01 17 49 17 40 17 32 17 25 17 19 17 08 16 59 16 51 16 42 16 32 16 22 16 15 16 0816 18 23 18 15 18 09 18 04 18 00 17 56 17 49 17 43 17 37 17 31 17 25 17 18 17 14 17 0917 18 43 18 40 18 37 18 35 18 33 18 31 18 28 18 26 18 23 18 21 18 18 18 15 18 13 18 1118 19 03 19 04 19 05 19 06 19 07 19 07 19 08 19 09 19 10 19 11 19 12 19 13 19 13 19 14

19 19 23 19 29 19 34 19 38 19 41 19 44 19 49 19 54 19 58 20 02 20 07 20 12 20 15 20 1820 19 46 19 56 20 05 20 11 20 17 20 23 20 32 20 40 20 48 20 55 21 03 21 13 21 18 21 2421 20 12 20 27 20 39 20 49 20 57 21 05 21 18 21 29 21 39 21 50 22 01 22 15 22 22 22 3122 20 44 21 03 21 18 21 31 21 41 21 51 22 07 22 21 22 34 22 47 23 01 23 17 23 27 23 3723 21 25 21 47 22 05 22 19 22 31 22 42 23 00 23 16 23 30 23 45 . . . . . . . . . . . . . . . .

24 22 16 22 40 22 59 23 14 23 26 23 38 23 57 . . . . . . . . . . . . 0 01 0 19 0 30 0 4225 23 19 23 42 . . . . . . . . . . . . . . . . . . . . 0 13 0 29 0 44 1 01 1 20 1 31 1 4326 . . . . . . . . 0 00 0 15 0 27 0 38 0 56 1 12 1 27 1 42 1 58 2 17 2 27 2 3927 0 31 0 51 1 07 1 20 1 31 1 41 1 58 2 12 2 25 2 39 2 53 3 09 3 18 3 2928 1 49 2 05 2 18 2 29 2 38 2 46 2 59 3 11 3 22 3 32 3 44 3 57 4 04 4 13

29 3 10 3 21 3 30 3 38 3 44 3 50 3 59 4 08 4 16 4 23 4 31 4 41 4 46 4 5230 4 31 4 37 4 42 4 46 4 50 4 53 4 58 5 03 5 07 5 12 5 16 5 21 5 24 5 2731 5 51 5 52 5 53 5 53 5 54 5 55 5 56 5 56 5 57 5 58 5 59 5 59 6 00 6 00

Apr. 1 7 09 7 05 7 02 6 59 6 57 6 55 6 52 6 49 6 46 6 43 6 40 6 37 6 35 6 322 8 24 8 16 8 09 8 03 7 58 7 54 7 46 7 40 7 34 7 28 7 21 7 14 7 09 7 05




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


10 1 42 1 47 1 53 1 59 2 06 2 14 2 22 2 31 2 42 2 54 3 07 3 24 3 44 4 1011 2 32 2 38 2 44 2 50 2 57 3 05 3 14 3 24 3 34 3 47 4 01 4 19 4 40 5 0812 3 19 3 24 3 30 3 37 3 44 3 51 4 00 4 09 4 19 4 31 4 45 5 02 5 22 5 4813 4 01 4 07 4 12 4 18 4 24 4 31 4 39 4 47 4 57 5 08 5 20 5 35 5 52 6 14

14 4 40 4 45 4 49 4 55 5 00 5 06 5 13 5 20 5 28 5 37 5 47 5 59 6 13 6 3015 5 16 5 20 5 23 5 27 5 32 5 37 5 42 5 47 5 54 6 01 6 09 6 18 6 28 6 4116 5 49 5 52 5 54 5 57 6 00 6 04 6 08 6 12 6 16 6 21 6 26 6 33 6 40 6 4817 6 21 6 22 6 24 6 25 6 27 6 29 6 31 6 33 6 36 6 39 6 42 6 45 6 49 6 5418 6 52 6 52 6 52 6 53 6 53 6 53 6 54 6 54 6 55 6 56 6 56 6 57 6 58 6 59

19 7 23 7 22 7 21 7 20 7 19 7 18 7 17 7 15 7 14 7 12 7 11 7 09 7 06 7 0420 7 56 7 54 7 51 7 49 7 47 7 44 7 41 7 38 7 34 7 31 7 26 7 21 7 16 7 0921 8 31 8 28 8 25 8 21 8 17 8 13 8 08 8 03 7 58 7 52 7 45 7 37 7 28 7 1722 9 11 9 07 9 02 8 57 8 52 8 46 8 40 8 33 8 26 8 17 8 08 7 57 7 44 7 2823 9 56 9 51 9 45 9 40 9 33 9 26 9 19 9 11 9 01 8 51 8 38 8 24 8 07 7 46

24 10 47 10 42 10 36 10 29 10 22 10 15 10 06 9 57 9 46 9 34 9 20 9 04 8 43 8 1725 11 45 11 40 11 34 11 27 11 20 11 12 11 04 10 54 10 43 10 31 10 16 9 59 9 38 9 1126 12 49 12 44 12 38 12 32 12 25 12 18 12 10 12 01 11 51 11 40 11 27 11 11 10 52 10 2827 13 56 13 52 13 47 13 42 13 36 13 30 13 24 13 16 13 08 12 59 12 48 12 35 12 20 12 0228 15 05 15 02 14 58 14 54 14 50 14 45 14 40 14 35 14 29 14 22 14 14 14 05 13 55 13 42

29 16 14 16 12 16 09 16 07 16 04 16 01 15 58 15 55 15 51 15 47 15 42 15 36 15 30 15 2330 17 22 17 21 17 20 17 19 17 18 17 17 17 15 17 14 17 12 17 11 17 09 17 07 17 04 17 0131 18 28 18 28 18 29 18 29 18 30 18 30 18 31 18 31 18 32 18 33 18 34 18 35 18 36 18 37

Apr. 1 19 33 19 34 19 36 19 38 19 40 19 42 19 45 19 47 19 50 19 53 19 57 20 01 20 06 20 112 20 36 20 39 20 42 20 45 20 48 20 52 20 56 21 01 21 06 21 11 21 18 21 25 21 33 21 43

MOONSET


10 11 40 11 35 11 29 11 23 11 16 11 08 11 00 10 50 10 40 10 27 10 13 9 57 9 36 9 1011 12 27 12 22 12 16 12 09 12 02 11 54 11 46 11 36 11 25 11 13 10 58 10 41 10 19 9 5112 13 18 13 13 13 07 13 01 12 54 12 46 12 38 12 29 12 18 12 07 11 53 11 36 11 16 10 5013 14 12 14 07 14 02 13 56 13 50 13 44 13 36 13 28 13 19 13 08 12 56 12 42 12 25 12 03

14 15 09 15 05 15 01 14 56 14 51 14 45 14 39 14 32 14 25 14 16 14 06 13 55 13 41 13 2515 16 08 16 05 16 02 15 58 15 54 15 50 15 45 15 40 15 34 15 28 15 21 15 12 15 02 14 5116 17 09 17 07 17 05 17 02 17 00 16 57 16 54 16 50 16 47 16 42 16 38 16 32 16 26 16 1917 18 11 18 10 18 09 18 08 18 07 18 05 18 04 18 03 18 01 17 59 17 57 17 55 17 52 17 4918 19 14 19 14 19 14 19 15 19 15 19 16 19 16 19 16 19 17 19 17 19 18 19 19 19 19 19 20

19 20 18 20 20 20 21 20 23 20 25 20 27 20 29 20 32 20 34 20 37 20 41 20 44 20 49 20 5420 21 24 21 27 21 30 21 33 21 36 21 40 21 44 21 48 21 53 21 58 22 05 22 12 22 20 22 2921 22 31 22 35 22 39 22 43 22 48 22 53 22 59 23 05 23 12 23 20 23 29 23 40 23 52 . . . .22 23 37 23 42 23 47 23 53 23 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 0723 . . . . . . . . . . . . . . . . . . . . 0 05 0 12 0 20 0 29 0 40 0 51 1 05 1 22 1 42

24 0 42 0 48 0 53 1 00 1 07 1 14 1 22 1 32 1 42 1 54 2 08 2 24 2 44 3 1025 1 43 1 49 1 55 2 02 2 09 2 17 2 25 2 35 2 46 2 58 3 13 3 30 3 51 4 1926 2 39 2 45 2 51 2 57 3 04 3 11 3 19 3 28 3 38 3 50 4 03 4 19 4 39 5 0327 3 29 3 34 3 39 3 44 3 50 3 57 4 04 4 12 4 20 4 30 4 41 4 54 5 10 5 2928 4 13 4 17 4 21 4 25 4 30 4 35 4 40 4 46 4 53 5 01 5 09 5 19 5 30 5 44

29 4 52 4 55 4 57 5 00 5 04 5 07 5 11 5 15 5 20 5 25 5 31 5 37 5 45 5 5330 5 27 5 29 5 30 5 32 5 34 5 36 5 38 5 40 5 42 5 45 5 48 5 52 5 56 6 0031 6 00 6 01 6 01 6 01 6 01 6 02 6 02 6 02 6 03 6 03 6 04 6 04 6 05 6 05

Apr. 1 6 32 6 31 6 30 6 29 6 28 6 27 6 25 6 24 6 22 6 20 6 18 6 16 6 13 6 102 7 05 7 02 7 00 6 58 6 55 6 52 6 49 6 46 6 42 6 38 6 34 6 28 6 22 6 16




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mApr. 1 18 35 18 41 18 46 18 50 18 53 18 56 19 02 19 06 19 11 19 15 19 20 19 26 19 29 19 33

2 18 57 19 07 19 15 19 22 19 28 19 34 19 43 19 51 19 59 20 06 20 15 20 24 20 30 20 363 19 21 19 35 19 47 19 56 20 05 20 12 20 25 20 36 20 46 20 57 21 08 21 21 21 29 21 374 19 49 20 07 20 21 20 33 20 43 20 52 21 08 21 21 21 34 21 47 22 01 22 16 22 26 22 365 20 22 20 43 20 59 21 13 21 25 21 35 21 53 22 08 22 22 22 37 22 52 23 10 23 20 23 32

6 21 01 21 24 21 42 21 57 22 09 22 20 22 39 22 55 23 11 23 26 23 42 . . . . . . . . . . . .7 21 48 22 11 22 29 22 44 22 57 23 08 23 27 23 43 23 59 . . . . . . . . 0 01 0 12 0 258 22 41 23 04 23 21 23 35 23 48 23 58 . . . . . . . . . . . . 0 14 0 31 0 50 1 01 1 139 23 42 . . . . . . . . . . . . . . . . . . . . 0 16 0 32 0 47 1 01 1 17 1 35 1 46 1 58

10 . . . . 0 01 0 17 0 30 0 41 0 50 1 06 1 21 1 34 1 47 2 01 2 18 2 27 2 38

11 0 47 1 03 1 16 1 27 1 36 1 44 1 58 2 10 2 21 2 32 2 44 2 57 3 05 3 1412 1 55 2 08 2 17 2 26 2 33 2 39 2 49 2 58 3 07 3 16 3 25 3 35 3 41 3 4813 3 07 3 15 3 21 3 26 3 31 3 35 3 42 3 48 3 53 3 59 4 05 4 12 4 15 4 2014 4 21 4 24 4 27 4 29 4 31 4 32 4 35 4 37 4 40 4 42 4 45 4 47 4 49 4 5115 5 37 5 35 5 34 5 33 5 32 5 31 5 30 5 28 5 27 5 26 5 25 5 24 5 23 5 22

16 6 55 6 49 6 43 6 39 6 35 6 32 6 26 6 21 6 16 6 11 6 07 6 01 5 58 5 5417 8 15 8 04 7 54 7 47 7 40 7 34 7 24 7 15 7 07 6 59 6 51 6 41 6 35 6 2918 9 36 9 19 9 06 8 55 8 46 8 38 8 24 8 12 8 01 7 50 7 38 7 25 7 17 7 0819 10 54 10 33 10 17 10 04 9 52 9 43 9 26 9 11 8 57 8 44 8 29 8 13 8 03 7 5220 12 07 11 43 11 25 11 10 10 57 10 46 10 27 10 11 9 55 9 40 9 24 9 05 8 55 8 42

21 13 09 12 45 12 26 12 11 11 58 11 47 11 27 11 10 10 55 10 39 10 22 10 03 9 52 9 3922 14 00 13 37 13 20 13 05 12 53 12 43 12 24 12 08 11 53 11 39 11 23 11 04 10 54 10 4123 14 40 14 21 14 06 13 53 13 43 13 34 13 18 13 04 12 51 12 37 12 23 12 07 11 58 11 4724 15 11 14 57 14 45 14 35 14 27 14 20 14 07 13 56 13 45 13 35 13 24 13 11 13 03 12 5525 15 37 15 27 15 19 15 12 15 07 15 01 14 53 14 45 14 37 14 30 14 22 14 13 14 08 14 02

MOONSET


2 8 24 8 16 8 09 8 03 7 58 7 54 7 46 7 40 7 34 7 28 7 21 7 14 7 09 7 053 9 38 9 25 9 14 9 05 8 58 8 52 8 40 8 31 8 21 8 12 8 03 7 51 7 45 7 384 10 48 10 31 10 17 10 06 9 56 9 48 9 34 9 21 9 09 8 58 8 45 8 31 8 23 8 135 11 53 11 33 11 17 11 03 10 52 10 42 10 26 10 11 9 57 9 44 9 29 9 12 9 03 8 52

6 12 53 12 30 12 12 11 58 11 46 11 35 11 17 11 01 10 46 10 31 10 15 9 56 9 46 9 337 13 45 13 22 13 03 12 49 12 36 12 25 12 06 11 49 11 34 11 18 11 02 10 43 10 32 10 198 14 30 14 07 13 49 13 35 13 23 13 12 12 53 12 37 12 22 12 07 11 51 11 32 11 21 11 089 15 07 14 47 14 30 14 17 14 06 13 56 13 39 13 24 13 10 12 55 12 40 12 23 12 13 12 01

10 15 38 15 21 15 07 14 55 14 45 14 37 14 22 14 09 13 57 13 44 13 31 13 16 13 07 12 57

11 16 04 15 50 15 39 15 30 15 22 15 16 15 04 14 53 14 43 14 33 14 22 14 10 14 03 13 5512 16 26 16 17 16 09 16 03 15 57 15 52 15 44 15 36 15 29 15 22 15 14 15 05 15 00 14 5513 16 47 16 42 16 38 16 34 16 31 16 28 16 24 16 19 16 15 16 11 16 07 16 02 15 59 15 5614 17 07 17 06 17 05 17 05 17 05 17 04 17 03 17 03 17 02 17 02 17 01 17 00 17 00 16 5915 17 27 17 31 17 34 17 36 17 39 17 41 17 44 17 47 17 50 17 53 17 56 18 00 18 02 18 04

16 17 48 17 57 18 04 18 10 18 15 18 19 18 27 18 34 18 40 18 47 18 53 19 01 19 06 19 1117 18 13 18 27 18 37 18 46 18 54 19 01 19 13 19 23 19 33 19 42 19 53 20 04 20 11 20 1918 18 44 19 02 19 16 19 28 19 38 19 46 20 02 20 15 20 27 20 40 20 53 21 09 21 18 21 2819 19 22 19 44 20 01 20 15 20 26 20 37 20 55 21 10 21 25 21 39 21 55 22 13 22 23 22 3520 20 10 20 34 20 53 21 08 21 21 21 32 21 51 22 08 22 24 22 39 22 56 23 15 23 26 23 39

21 21 10 21 34 21 53 22 08 22 21 22 32 22 51 23 07 23 23 23 38 23 55 . . . . . . . . . . . .22 22 19 22 41 22 58 23 12 23 24 23 34 23 52 . . . . . . . . . . . . . . . . 0 14 0 25 0 3723 23 36 23 54 . . . . . . . . . . . . . . . . . . . . 0 07 0 21 0 35 0 50 1 07 1 17 1 2924 . . . . . . . . 0 08 0 19 0 29 0 38 0 52 1 05 1 17 1 29 1 41 1 56 2 04 2 1325 0 55 1 08 1 18 1 27 1 34 1 41 1 52 2 01 2 10 2 19 2 29 2 40 2 46 2 53




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


2 20 36 20 39 20 42 20 45 20 48 20 52 20 56 21 01 21 06 21 11 21 18 21 25 21 33 21 433 21 37 21 41 21 45 21 50 21 54 21 59 22 05 22 12 22 19 22 27 22 36 22 46 22 58 23 134 22 36 22 41 22 46 22 51 22 57 23 04 23 11 23 19 23 28 23 38 23 49 . . . . . . . . . . . .5 23 32 23 38 23 43 23 50 23 56 . . . . . . . . . . . . . . . . . . . . . . . . 0 03 0 19 0 39

6 . . . . . . . . . . . . . . . . . . . . 0 04 0 12 0 21 0 31 0 43 0 56 1 12 1 32 1 577 0 25 0 31 0 37 0 43 0 50 0 58 1 07 1 17 1 28 1 40 1 55 2 12 2 34 3 038 1 13 1 19 1 25 1 32 1 39 1 47 1 55 2 05 2 16 2 28 2 43 3 01 3 22 3 509 1 58 2 03 2 09 2 15 2 22 2 29 2 37 2 46 2 56 3 08 3 21 3 37 3 56 4 21

10 2 38 2 42 2 48 2 53 2 59 3 05 3 13 3 20 3 29 3 39 3 51 4 04 4 20 4 39

11 3 14 3 18 3 22 3 27 3 32 3 37 3 43 3 49 3 57 4 05 4 14 4 24 4 36 4 5112 3 48 3 51 3 54 3 58 4 01 4 05 4 10 4 15 4 20 4 26 4 32 4 40 4 49 4 5913 4 20 4 22 4 24 4 26 4 28 4 31 4 34 4 37 4 40 4 44 4 48 4 53 4 58 5 0514 4 51 4 52 4 53 4 53 4 54 4 56 4 57 4 58 4 59 5 01 5 03 5 05 5 07 5 0915 5 22 5 22 5 21 5 21 5 20 5 20 5 19 5 19 5 18 5 17 5 17 5 16 5 15 5 14

16 5 54 5 53 5 51 5 49 5 47 5 45 5 43 5 41 5 38 5 35 5 32 5 28 5 24 5 1917 6 29 6 26 6 24 6 20 6 17 6 13 6 09 6 05 6 00 5 55 5 49 5 42 5 34 5 2518 7 08 7 04 7 00 6 56 6 51 6 46 6 40 6 34 6 27 6 19 6 10 6 00 5 48 5 3419 7 52 7 47 7 42 7 36 7 30 7 24 7 17 7 09 7 00 6 50 6 38 6 24 6 08 5 4920 8 42 8 37 8 31 8 25 8 18 8 10 8 02 7 52 7 42 7 30 7 16 7 00 6 40 6 15

21 9 39 9 33 9 27 9 21 9 13 9 05 8 57 8 47 8 36 8 23 8 08 7 51 7 29 7 0022 10 41 10 36 10 30 10 24 10 17 10 09 10 01 9 51 9 41 9 29 9 15 8 58 8 38 8 1223 11 47 11 42 11 37 11 32 11 26 11 19 11 12 11 04 10 55 10 45 10 33 10 19 10 03 9 4224 12 55 12 51 12 47 12 42 12 38 12 33 12 27 12 21 12 14 12 06 11 57 11 47 11 35 11 2025 14 02 14 00 13 57 13 54 13 50 13 47 13 43 13 39 13 34 13 29 13 23 13 16 13 08 12 59

MOONSET


2 7 05 7 02 7 00 6 58 6 55 6 52 6 49 6 46 6 42 6 38 6 34 6 28 6 22 6 163 7 38 7 35 7 31 7 28 7 24 7 19 7 15 7 10 7 04 6 58 6 50 6 42 6 33 6 224 8 13 8 09 8 05 8 00 7 55 7 49 7 43 7 36 7 29 7 20 7 11 6 59 6 46 6 315 8 52 8 47 8 41 8 36 8 29 8 23 8 15 8 07 7 58 7 48 7 36 7 22 7 05 6 44

6 9 33 9 28 9 22 9 16 9 09 9 01 8 53 8 44 8 33 8 21 8 08 7 51 7 31 7 067 10 19 10 13 10 07 10 01 9 53 9 45 9 37 9 27 9 16 9 03 8 49 8 31 8 09 7 418 11 08 11 03 10 57 10 50 10 43 10 35 10 27 10 17 10 06 9 54 9 39 9 22 9 01 8 339 12 01 11 56 11 50 11 44 11 38 11 31 11 23 11 14 11 04 10 53 10 40 10 24 10 05 9 41

10 12 57 12 52 12 47 12 42 12 37 12 30 12 24 12 16 12 08 11 58 11 47 11 34 11 19 11 00

11 13 55 13 51 13 47 13 43 13 39 13 34 13 28 13 22 13 16 13 08 13 00 12 50 12 38 12 2512 14 55 14 52 14 49 14 46 14 43 14 39 14 36 14 31 14 27 14 22 14 16 14 09 14 01 13 5213 15 56 15 55 15 53 15 51 15 50 15 48 15 45 15 43 15 41 15 38 15 35 15 31 15 27 15 2214 16 59 16 59 16 59 16 58 16 58 16 58 16 57 16 57 16 57 16 56 16 56 16 55 16 54 16 5315 18 04 18 05 18 06 18 07 18 09 18 10 18 11 18 13 18 15 18 17 18 19 18 22 18 24 18 28

16 19 11 19 13 19 16 19 18 19 21 19 24 19 27 19 31 19 35 19 40 19 45 19 51 19 57 20 0517 20 19 20 23 20 26 20 30 20 35 20 39 20 45 20 50 20 57 21 04 21 12 21 21 21 32 21 4518 21 28 21 32 21 37 21 43 21 48 21 54 22 01 22 09 22 17 22 27 22 38 22 51 23 07 23 2519 22 35 22 41 22 46 22 53 22 59 23 07 23 15 23 24 23 34 23 46 23 59 . . . . . . . . . . . .20 23 39 23 45 23 51 23 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 15 0 35 1 00

21 . . . . . . . . . . . . . . . . 0 05 0 13 0 21 0 31 0 42 0 55 1 10 1 27 1 49 2 1722 0 37 0 43 0 49 0 55 1 02 1 10 1 18 1 28 1 39 1 51 2 05 2 22 2 43 3 0923 1 29 1 34 1 39 1 45 1 51 1 58 2 05 2 14 2 23 2 34 2 46 3 00 3 17 3 3924 2 13 2 18 2 22 2 27 2 32 2 37 2 44 2 50 2 58 3 06 3 16 3 27 3 40 3 5525 2 53 2 56 2 59 3 03 3 06 3 11 3 15 3 20 3 25 3 31 3 38 3 46 3 55 4 05




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦


25 15 37 15 27 15 19 15 12 15 07 15 01 14 53 14 45 14 37 14 30 14 22 14 13 14 08 14 0226 15 59 15 54 15 50 15 46 15 43 15 40 15 36 15 31 15 27 15 24 15 19 15 15 15 12 15 0927 16 19 16 19 16 18 16 18 16 18 16 17 16 17 16 16 16 16 16 16 16 15 16 15 16 14 16 1428 16 39 16 43 16 46 16 49 16 51 16 53 16 57 17 00 17 03 17 07 17 10 17 14 17 16 17 18

29 16 59 17 08 17 15 17 20 17 25 17 30 17 37 17 44 17 51 17 57 18 04 18 12 18 16 18 2230 17 22 17 35 17 45 17 53 18 01 18 07 18 19 18 29 18 38 18 47 18 58 19 09 19 16 19 24

May 1 17 47 18 04 18 18 18 29 18 38 18 47 19 01 19 14 19 26 19 38 19 51 20 06 20 14 20 242 18 18 18 38 18 54 19 07 19 19 19 28 19 45 20 00 20 14 20 28 20 43 21 00 21 11 21 223 18 54 19 17 19 35 19 50 20 02 20 13 20 31 20 48 21 03 21 18 21 34 21 53 22 04 22 17

4 19 38 20 02 20 21 20 36 20 49 21 00 21 19 21 36 21 51 22 07 22 24 22 43 22 55 23 075 20 29 20 53 21 11 21 26 21 38 21 49 22 08 22 24 22 40 22 55 23 11 23 30 23 41 23 546 21 27 21 48 22 05 22 19 22 30 22 40 22 58 23 13 23 27 23 41 23 56 . . . . . . . . . . . .7 22 30 22 48 23 02 23 14 23 24 23 33 23 48 . . . . . . . . . . . . . . . . 0 14 0 24 0 358 23 37 23 51 . . . . . . . . . . . . . . . . . . . . 0 01 0 14 0 26 0 39 0 54 1 03 1 13

9 . . . . . . . . 0 02 0 12 0 20 0 27 0 39 0 50 1 00 1 10 1 20 1 32 1 39 1 4710 0 46 0 56 1 04 1 11 1 17 1 22 1 30 1 38 1 45 1 52 2 00 2 09 2 13 2 1911 1 58 2 04 2 08 2 12 2 15 2 18 2 23 2 27 2 31 2 35 2 39 2 44 2 47 2 5012 3 13 3 14 3 14 3 15 3 15 3 15 3 16 3 17 3 17 3 18 3 18 3 19 3 20 3 2013 4 30 4 26 4 22 4 20 4 17 4 15 4 11 4 08 4 05 4 02 3 59 3 56 3 54 3 51

14 5 50 5 41 5 33 5 27 5 22 5 17 5 09 5 02 4 55 4 49 4 42 4 34 4 30 4 2515 7 12 6 58 6 46 6 37 6 29 6 21 6 09 5 58 5 49 5 39 5 28 5 16 5 10 5 0216 8 34 8 15 8 00 7 47 7 37 7 27 7 12 6 58 6 45 6 32 6 19 6 03 5 54 5 4417 9 53 9 29 9 12 8 57 8 45 8 34 8 15 7 59 7 44 7 30 7 14 6 56 6 45 6 3318 11 02 10 37 10 18 10 02 9 49 9 38 9 18 9 01 8 45 8 30 8 13 7 53 7 42 7 29

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mApr. 24 . . . . . . . . 0 08 0 19 0 29 0 38 0 52 1 05 1 17 1 29 1 41 1 56 2 04 2 13

25 0 55 1 08 1 18 1 27 1 34 1 41 1 52 2 01 2 10 2 19 2 29 2 40 2 46 2 5326 2 14 2 22 2 29 2 34 2 39 2 43 2 50 2 56 3 02 3 07 3 13 3 20 3 24 3 2827 3 32 3 36 3 38 3 40 3 42 3 44 3 46 3 49 3 51 3 53 3 55 3 58 3 59 4 0128 4 50 4 48 4 46 4 45 4 44 4 43 4 41 4 40 4 39 4 37 4 36 4 34 4 33 4 32

29 6 05 5 59 5 53 5 49 5 45 5 42 5 36 5 31 5 26 5 21 5 16 5 10 5 07 5 0330 7 19 7 08 6 59 6 52 6 45 6 40 6 30 6 21 6 13 6 05 5 57 5 47 5 42 5 35

May 1 8 31 8 16 8 03 7 53 7 44 7 36 7 23 7 12 7 01 6 50 6 39 6 26 6 18 6 092 9 40 9 20 9 05 8 52 8 42 8 32 8 16 8 02 7 49 7 36 7 22 7 06 6 57 6 463 10 43 10 20 10 03 9 49 9 37 9 26 9 08 8 52 8 38 8 23 8 07 7 49 7 39 7 27

4 11 39 11 15 10 57 10 42 10 29 10 18 9 59 9 42 9 26 9 11 8 54 8 35 8 24 8 115 12 27 12 03 11 45 11 30 11 17 11 06 10 47 10 30 10 15 9 59 9 43 9 23 9 12 8 596 13 07 12 45 12 28 12 14 12 02 11 51 11 33 11 18 11 03 10 48 10 32 10 14 10 03 9 517 13 40 13 21 13 06 12 53 12 43 12 33 12 17 12 03 11 50 11 36 11 22 11 06 10 56 10 458 14 07 13 52 13 40 13 29 13 20 13 13 12 59 12 47 12 36 12 25 12 13 11 59 11 51 11 42

9 14 31 14 19 14 10 14 02 13 56 13 50 13 39 13 30 13 22 13 13 13 04 12 53 12 47 12 4010 14 51 14 44 14 38 14 33 14 29 14 25 14 18 14 13 14 07 14 01 13 55 13 49 13 45 13 4011 15 11 15 08 15 06 15 04 15 02 15 00 14 58 14 55 14 53 14 51 14 48 14 45 14 44 14 4212 15 30 15 32 15 33 15 34 15 35 15 36 15 37 15 39 15 40 15 41 15 42 15 44 15 44 15 4513 15 50 15 57 16 02 16 06 16 10 16 13 16 19 16 24 16 29 16 33 16 39 16 44 16 48 16 51

14 16 13 16 25 16 34 16 41 16 48 16 53 17 03 17 12 17 20 17 29 17 37 17 47 17 53 18 0015 16 41 16 57 17 10 17 21 17 30 17 38 17 52 18 04 18 15 18 26 18 39 18 53 19 01 19 1016 17 16 17 37 17 53 18 06 18 17 18 27 18 44 18 59 19 13 19 27 19 42 19 59 20 09 20 2017 18 01 18 25 18 43 18 58 19 11 19 22 19 41 19 58 20 13 20 29 20 45 21 04 21 16 21 2818 18 58 19 23 19 42 19 58 20 11 20 22 20 42 20 59 21 15 21 30 21 47 22 07 22 18 22 31




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


25 14 02 14 00 13 57 13 54 13 50 13 47 13 43 13 39 13 34 13 29 13 23 13 16 13 08 12 5926 15 09 15 07 15 06 15 04 15 03 15 01 14 59 14 57 14 54 14 51 14 48 14 45 14 41 14 3627 16 14 16 14 16 14 16 14 16 14 16 14 16 13 16 13 16 13 16 13 16 13 16 12 16 12 16 1228 17 18 17 20 17 21 17 22 17 23 17 25 17 27 17 28 17 30 17 33 17 35 17 38 17 41 17 45

29 18 22 18 24 18 26 18 29 18 32 18 35 18 39 18 42 18 46 18 51 18 56 19 02 19 09 19 1730 19 24 19 27 19 31 19 35 19 39 19 44 19 49 19 54 20 01 20 08 20 16 20 25 20 36 20 48

May 1 20 24 20 28 20 33 20 38 20 44 20 50 20 56 21 04 21 12 21 21 21 32 21 44 21 59 22 172 21 22 21 27 21 33 21 39 21 45 21 52 22 00 22 09 22 19 22 30 22 43 22 58 23 17 23 413 22 17 22 22 22 28 22 35 22 42 22 50 22 59 23 08 23 19 23 32 23 46 . . . . . . . . . . . .

4 23 07 23 13 23 19 23 26 23 34 23 42 23 50 . . . . . . . . . . . . . . . . 0 04 0 26 0 545 23 54 23 59 . . . . . . . . . . . . . . . . . . . . 0 00 0 12 0 25 0 40 0 58 1 20 1 506 . . . . . . . . 0 05 0 12 0 19 0 27 0 35 0 45 0 55 1 08 1 22 1 39 2 00 2 277 0 35 0 40 0 46 0 52 0 58 1 05 1 13 1 21 1 31 1 42 1 54 2 09 2 27 2 498 1 13 1 17 1 22 1 27 1 32 1 38 1 45 1 52 2 00 2 09 2 19 2 31 2 45 3 02

9 1 47 1 51 1 54 1 58 2 03 2 07 2 12 2 18 2 24 2 31 2 39 2 48 2 59 3 1110 2 19 2 22 2 24 2 27 2 30 2 33 2 37 2 41 2 45 2 50 2 55 3 01 3 08 3 1711 2 50 2 51 2 53 2 54 2 56 2 58 3 00 3 02 3 04 3 07 3 10 3 13 3 17 3 2112 3 20 3 20 3 20 3 21 3 21 3 21 3 22 3 22 3 22 3 23 3 23 3 24 3 24 3 2513 3 51 3 50 3 49 3 48 3 47 3 46 3 44 3 43 3 41 3 39 3 37 3 35 3 32 3 29

14 4 25 4 23 4 20 4 18 4 15 4 12 4 09 4 05 4 02 3 57 3 53 3 47 3 41 3 3415 5 02 4 59 4 55 4 51 4 47 4 42 4 37 4 32 4 26 4 19 4 12 4 03 3 53 3 4116 5 44 5 40 5 35 5 30 5 24 5 18 5 12 5 04 4 56 4 47 4 36 4 24 4 10 3 5217 6 33 6 28 6 22 6 16 6 09 6 02 5 54 5 45 5 35 5 23 5 10 4 55 4 36 4 1218 7 29 7 23 7 17 7 10 7 03 6 55 6 46 6 36 6 25 6 13 5 58 5 40 5 18 4 49

MOONSET


25 2 53 2 56 2 59 3 03 3 06 3 11 3 15 3 20 3 25 3 31 3 38 3 46 3 55 4 0526 3 28 3 30 3 32 3 34 3 37 3 39 3 42 3 45 3 48 3 52 3 56 4 00 4 06 4 1227 4 01 4 01 4 02 4 03 4 04 4 05 4 06 4 07 4 08 4 09 4 11 4 13 4 15 4 1728 4 32 4 32 4 31 4 31 4 30 4 29 4 29 4 28 4 27 4 26 4 25 4 24 4 23 4 21

29 5 03 5 02 5 00 4 58 4 56 4 54 4 51 4 49 4 46 4 43 4 39 4 35 4 31 4 2530 5 35 5 33 5 30 5 26 5 23 5 19 5 15 5 11 5 06 5 01 4 55 4 48 4 40 4 30

May 1 6 09 6 06 6 02 5 57 5 53 5 47 5 42 5 36 5 29 5 21 5 13 5 03 4 51 4 372 6 46 6 42 6 37 6 31 6 25 6 19 6 12 6 04 5 56 5 46 5 35 5 22 5 07 4 483 7 27 7 21 7 16 7 10 7 03 6 55 6 47 6 38 6 28 6 17 6 03 5 48 5 29 5 04

4 8 11 8 05 7 59 7 53 7 45 7 37 7 29 7 19 7 08 6 55 6 40 6 23 6 01 5 325 8 59 8 53 8 47 8 41 8 33 8 25 8 16 8 06 7 55 7 42 7 27 7 09 6 47 6 176 9 51 9 45 9 39 9 33 9 26 9 18 9 10 9 01 8 50 8 38 8 24 8 07 7 46 7 207 10 45 10 40 10 35 10 29 10 23 10 16 10 09 10 01 9 51 9 41 9 29 9 14 8 57 8 358 11 42 11 38 11 33 11 29 11 23 11 18 11 12 11 05 10 57 10 49 10 39 10 28 10 14 9 58

9 12 40 12 37 12 34 12 30 12 26 12 22 12 17 12 12 12 07 12 00 11 53 11 45 11 35 11 2410 13 40 13 38 13 36 13 33 13 31 13 28 13 25 13 22 13 18 13 14 13 10 13 05 12 59 12 5211 14 42 14 41 14 40 14 39 14 38 14 37 14 36 14 34 14 33 14 31 14 29 14 27 14 25 14 2212 15 45 15 46 15 46 15 47 15 47 15 48 15 48 15 49 15 50 15 50 15 51 15 52 15 53 15 5513 16 51 16 53 16 55 16 57 16 59 17 01 17 03 17 06 17 09 17 12 17 16 17 20 17 25 17 31

14 18 00 18 03 18 06 18 09 18 13 18 17 18 21 18 26 18 31 18 37 18 44 18 52 19 01 19 1115 19 10 19 14 19 19 19 23 19 29 19 34 19 40 19 47 19 55 20 04 20 13 20 25 20 38 20 5516 20 20 20 26 20 31 20 37 20 43 20 50 20 58 21 07 21 16 21 28 21 40 21 55 22 14 22 3717 21 28 21 34 21 40 21 47 21 54 22 02 22 11 22 20 22 31 22 44 22 59 23 16 23 38 . . . .18 22 31 22 37 22 43 22 50 22 57 23 05 23 14 23 24 23 35 23 47 . . . . . . . . . . . . 0 07




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mMay 17 9 53 9 29 9 12 8 57 8 45 8 34 8 15 7 59 7 44 7 30 7 14 6 56 6 45 6 33

18 11 02 10 37 10 18 10 02 9 49 9 38 9 18 9 01 8 45 8 30 8 13 7 53 7 42 7 2919 11 59 11 35 11 17 11 01 10 49 10 38 10 19 10 02 9 46 9 31 9 14 8 55 8 44 8 3120 12 43 12 22 12 06 11 53 11 42 11 32 11 15 11 00 10 46 10 32 10 17 9 59 9 49 9 3821 13 17 13 01 12 48 12 37 12 28 12 20 12 06 11 54 11 42 11 30 11 18 11 04 10 56 10 46

22 13 44 13 33 13 23 13 16 13 09 13 03 12 53 12 44 12 35 12 27 12 18 12 07 12 01 11 5423 14 07 14 00 13 55 13 50 13 46 13 42 13 36 13 31 13 26 13 20 13 15 13 09 13 05 13 0124 14 27 14 25 14 23 14 22 14 20 14 19 14 17 14 15 14 14 14 12 14 10 14 08 14 07 14 0625 14 46 14 48 14 50 14 52 14 53 14 55 14 57 14 59 15 01 15 02 15 04 15 07 15 08 15 1026 15 05 15 12 15 18 15 22 15 26 15 30 15 36 15 42 15 47 15 52 15 58 16 04 16 08 16 12

27 15 26 15 37 15 46 15 54 16 00 16 06 16 16 16 25 16 33 16 42 16 51 17 01 17 07 17 1428 15 50 16 05 16 17 16 28 16 36 16 44 16 57 17 09 17 20 17 31 17 43 17 57 18 05 18 1429 16 18 16 37 16 52 17 04 17 15 17 24 17 41 17 55 18 08 18 22 18 36 18 52 19 02 19 1330 16 51 17 13 17 31 17 45 17 57 18 08 18 26 18 42 18 57 19 12 19 28 19 46 19 57 20 0931 17 32 17 56 18 14 18 29 18 42 18 54 19 13 19 30 19 45 20 01 20 18 20 37 20 49 21 02

June 1 18 20 18 44 19 03 19 18 19 31 19 42 20 01 20 18 20 34 20 50 21 06 21 26 21 37 21 502 19 15 19 38 19 56 20 10 20 22 20 33 20 51 21 07 21 22 21 37 21 53 22 11 22 21 22 333 20 16 20 36 20 52 21 05 21 15 21 25 21 41 21 55 22 09 22 22 22 36 22 52 23 02 23 124 21 21 21 38 21 50 22 01 22 10 22 18 22 32 22 43 22 55 23 06 23 17 23 31 23 39 23 485 22 29 22 41 22 51 22 59 23 06 23 12 23 22 23 31 23 39 23 48 23 57 . . . . . . . . . . . .

6 23 39 23 46 23 53 23 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 07 0 13 0 207 . . . . . . . . . . . . . . . . 0 02 0 06 0 13 0 19 0 24 0 30 0 35 0 42 0 46 0 508 0 51 0 54 0 56 0 58 1 00 1 02 1 04 1 07 1 09 1 11 1 14 1 16 1 18 1 209 2 05 2 03 2 02 2 01 2 00 1 59 1 57 1 56 1 55 1 54 1 52 1 51 1 50 1 49

10 3 22 3 16 3 10 3 06 3 02 2 59 2 53 2 48 2 43 2 38 2 33 2 28 2 24 2 21

MOONSET


18 18 58 19 23 19 42 19 58 20 11 20 22 20 42 20 59 21 15 21 30 21 47 22 07 22 18 22 3119 20 07 20 30 20 48 21 02 21 15 21 26 21 44 22 00 22 15 22 30 22 46 23 04 23 14 23 2620 21 23 21 42 21 58 22 10 22 21 22 30 22 46 23 00 23 13 23 26 23 39 23 55 . . . . . . . .21 22 42 22 57 23 09 23 19 23 27 23 34 23 47 23 58 . . . . . . . . . . . . . . . . 0 04 0 14

22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 08 0 18 0 28 0 41 0 47 0 5523 0 02 0 12 0 20 0 26 0 32 0 37 0 45 0 53 1 00 1 06 1 14 1 22 1 26 1 3224 1 20 1 25 1 29 1 32 1 35 1 37 1 42 1 45 1 49 1 52 1 56 2 00 2 02 2 0425 2 37 2 37 2 37 2 37 2 37 2 37 2 36 2 36 2 36 2 36 2 36 2 36 2 36 2 3526 3 52 3 47 3 43 3 40 3 37 3 34 3 30 3 26 3 23 3 19 3 15 3 11 3 09 3 06

27 5 06 4 56 4 48 4 42 4 36 4 32 4 23 4 16 4 09 4 02 3 55 3 47 3 42 3 3728 6 18 6 03 5 52 5 43 5 35 5 28 5 16 5 06 4 56 4 46 4 36 4 24 4 17 4 0929 7 27 7 09 6 55 6 43 6 33 6 24 6 09 5 56 5 43 5 31 5 18 5 03 4 54 4 4430 8 33 8 11 7 54 7 40 7 29 7 18 7 01 6 46 6 31 6 17 6 02 5 45 5 35 5 2331 9 32 9 08 8 50 8 35 8 22 8 11 7 52 7 36 7 20 7 05 6 48 6 29 6 18 6 06

June 1 10 24 9 59 9 41 9 25 9 12 9 01 8 42 8 25 8 09 7 53 7 36 7 17 7 05 6 522 11 07 10 44 10 26 10 11 9 59 9 48 9 29 9 13 8 57 8 42 8 25 8 06 7 55 7 433 11 43 11 22 11 06 10 52 10 41 10 31 10 14 9 59 9 45 9 30 9 15 8 58 8 48 8 364 12 12 11 54 11 41 11 29 11 20 11 11 10 56 10 43 10 31 10 19 10 06 9 50 9 42 9 315 12 36 12 23 12 12 12 03 11 55 11 48 11 37 11 26 11 16 11 06 10 56 10 44 10 37 10 29

6 12 57 12 48 12 40 12 34 12 29 12 24 12 15 12 08 12 01 11 54 11 46 11 38 11 33 11 277 13 16 13 11 13 07 13 04 13 01 12 58 12 53 12 49 12 45 12 42 12 37 12 33 12 30 12 278 13 35 13 34 13 34 13 33 13 33 13 32 13 32 13 31 13 31 13 30 13 30 13 29 13 28 13 289 13 54 13 58 14 01 14 03 14 06 14 08 14 11 14 15 14 17 14 20 14 24 14 27 14 29 14 31

10 14 15 14 23 14 30 14 36 14 41 14 46 14 53 15 00 15 07 15 13 15 20 15 28 15 33 15 38




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


18 7 29 7 23 7 17 7 10 7 03 6 55 6 46 6 36 6 25 6 13 5 58 5 40 5 18 4 4919 8 31 8 26 8 20 8 13 8 06 7 58 7 49 7 39 7 28 7 16 7 01 6 43 6 22 5 5320 9 38 9 33 9 27 9 21 9 15 9 08 9 00 8 51 8 42 8 31 8 18 8 03 7 44 7 2121 10 46 10 42 10 38 10 33 10 28 10 22 10 16 10 09 10 01 9 52 9 42 9 31 9 17 9 00

22 11 54 11 51 11 48 11 45 11 41 11 37 11 32 11 27 11 22 11 16 11 09 11 01 10 51 10 4023 13 01 12 59 12 57 12 55 12 53 12 51 12 48 12 45 12 42 12 38 12 34 12 30 12 24 12 1824 14 06 14 06 14 05 14 04 14 04 14 03 14 02 14 01 14 00 13 59 13 58 13 57 13 55 13 5325 15 10 15 10 15 11 15 12 15 13 15 14 15 15 15 16 15 17 15 18 15 20 15 22 15 24 15 2626 16 12 16 14 16 16 16 18 16 21 16 23 16 26 16 29 16 32 16 36 16 40 16 45 16 51 16 57

27 17 14 17 17 17 20 17 24 17 27 17 31 17 36 17 41 17 46 17 52 17 59 18 07 18 17 18 2828 18 14 18 18 18 23 18 27 18 32 18 38 18 44 18 51 18 58 19 07 19 17 19 28 19 41 19 5729 19 13 19 18 19 23 19 29 19 35 19 42 19 49 19 58 20 07 20 18 20 30 20 44 21 02 21 2430 20 09 20 15 20 21 20 27 20 34 20 42 20 50 21 00 21 10 21 23 21 37 21 54 22 15 22 4231 21 02 21 08 21 14 21 21 21 28 21 36 21 45 21 55 22 06 22 19 22 35 22 53 23 16 23 47

June 1 21 50 21 56 22 02 22 09 22 16 22 24 22 33 22 43 22 54 23 07 23 22 23 40 . . . . . . . .2 22 33 22 39 22 45 22 51 22 58 23 05 23 13 23 22 23 33 23 44 23 58 . . . . 0 02 0 313 23 12 23 17 23 22 23 28 23 34 23 40 23 47 23 55 . . . . . . . . . . . . 0 14 0 33 0 584 23 48 23 51 23 56 . . . . . . . . . . . . . . . . . . . . 0 04 0 14 0 25 0 39 0 54 1 145 . . . . . . . . . . . . 0 00 0 05 0 10 0 16 0 22 0 29 0 37 0 46 0 57 1 09 1 23

6 0 20 0 23 0 26 0 29 0 33 0 37 0 41 0 46 0 51 0 57 1 03 1 11 1 19 1 297 0 50 0 52 0 54 0 56 0 59 1 01 1 04 1 07 1 10 1 14 1 18 1 22 1 28 1 348 1 20 1 20 1 21 1 22 1 23 1 24 1 25 1 26 1 28 1 29 1 31 1 33 1 35 1 379 1 49 1 49 1 49 1 48 1 48 1 47 1 47 1 46 1 45 1 45 1 44 1 43 1 42 1 41

10 2 21 2 19 2 18 2 16 2 14 2 12 2 09 2 07 2 04 2 01 1 58 1 54 1 50 1 45

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mMay 17 21 28 21 34 21 40 21 47 21 54 22 02 22 11 22 20 22 31 22 44 22 59 23 16 23 38 . . . .

18 22 31 22 37 22 43 22 50 22 57 23 05 23 14 23 24 23 35 23 47 . . . . . . . . . . . . 0 0719 23 26 23 32 23 37 23 43 23 50 23 58 . . . . . . . . . . . . . . . . 0 02 0 20 0 42 1 1120 . . . . . . . . . . . . . . . . . . . . . . . . 0 06 0 15 0 25 0 36 0 49 1 05 1 24 1 4721 0 14 0 19 0 23 0 29 0 34 0 40 0 47 0 55 1 03 1 12 1 23 1 35 1 50 2 07

22 0 55 0 59 1 03 1 07 1 11 1 15 1 21 1 26 1 32 1 39 1 47 1 56 2 06 2 1823 1 32 1 34 1 36 1 39 1 42 1 45 1 48 1 52 1 56 2 00 2 05 2 11 2 18 2 2524 2 04 2 06 2 07 2 08 2 09 2 11 2 13 2 14 2 16 2 18 2 21 2 23 2 26 2 3025 2 35 2 35 2 35 2 35 2 35 2 35 2 35 2 35 2 35 2 35 2 34 2 34 2 34 2 3426 3 06 3 05 3 03 3 02 3 00 2 59 2 57 2 55 2 53 2 50 2 48 2 45 2 41 2 38

27 3 37 3 34 3 32 3 29 3 26 3 23 3 20 3 16 3 12 3 07 3 02 2 56 2 49 2 4228 4 09 4 06 4 02 3 58 3 54 3 49 3 44 3 39 3 33 3 26 3 18 3 09 2 59 2 4729 4 44 4 40 4 35 4 30 4 25 4 19 4 12 4 05 3 57 3 48 3 38 3 26 3 12 2 5530 5 23 5 18 5 12 5 06 5 00 4 53 4 45 4 37 4 27 4 16 4 03 3 48 3 31 3 0831 6 06 6 00 5 54 5 47 5 40 5 32 5 24 5 14 5 03 4 51 4 36 4 19 3 58 3 30

June 1 6 52 6 46 6 40 6 33 6 26 6 18 6 09 5 59 5 47 5 34 5 19 5 01 4 38 4 072 7 43 7 37 7 31 7 24 7 17 7 09 7 00 6 50 6 39 6 27 6 12 5 54 5 32 5 033 8 36 8 31 8 25 8 19 8 12 8 05 7 57 7 48 7 38 7 27 7 14 6 58 6 39 6 154 9 31 9 27 9 22 9 17 9 11 9 05 8 58 8 51 8 42 8 33 8 22 8 09 7 54 7 355 10 29 10 25 10 21 10 17 10 13 10 08 10 02 9 57 9 50 9 43 9 34 9 25 9 13 9 00

6 11 27 11 24 11 22 11 19 11 16 11 12 11 08 11 04 11 00 10 55 10 49 10 42 10 35 10 267 12 27 12 25 12 24 12 22 12 20 12 18 12 16 12 14 12 12 12 09 12 06 12 02 11 58 11 538 13 28 13 28 13 27 13 27 13 27 13 27 13 26 13 26 13 26 13 25 13 25 13 24 13 24 13 239 14 31 14 32 14 34 14 35 14 36 14 37 14 39 14 41 14 42 14 44 14 47 14 49 14 52 14 55

10 15 38 15 40 15 42 15 45 15 48 15 51 15 54 15 58 16 02 16 07 16 12 16 18 16 25 16 32




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mJune 8 0 51 0 54 0 56 0 58 1 00 1 02 1 04 1 07 1 09 1 11 1 14 1 16 1 18 1 20

9 2 05 2 03 2 02 2 01 2 00 1 59 1 57 1 56 1 55 1 54 1 52 1 51 1 50 1 4910 3 22 3 16 3 10 3 06 3 02 2 59 2 53 2 48 2 43 2 38 2 33 2 28 2 24 2 2111 4 43 4 31 4 21 4 14 4 07 4 01 3 51 3 42 3 34 3 26 3 17 3 07 3 02 2 5512 6 05 5 48 5 35 5 24 5 14 5 06 4 52 4 40 4 28 4 17 4 05 3 51 3 43 3 35

13 7 27 7 06 6 49 6 35 6 23 6 13 5 56 5 41 5 27 5 13 4 58 4 41 4 31 4 2014 8 43 8 19 8 00 7 45 7 32 7 20 7 01 6 44 6 28 6 13 5 56 5 37 5 26 5 1315 9 48 9 24 9 04 8 49 8 36 8 24 8 05 7 47 7 32 7 16 6 59 6 39 6 28 6 1516 10 40 10 17 10 00 9 46 9 34 9 23 9 05 8 49 8 34 8 19 8 03 7 45 7 34 7 2217 11 19 11 01 10 47 10 35 10 24 10 15 10 00 9 46 9 34 9 21 9 07 8 52 8 43 8 32

18 11 50 11 36 11 25 11 16 11 09 11 02 10 50 10 40 10 30 10 20 10 10 9 58 9 51 9 4319 12 14 12 05 11 59 11 53 11 48 11 43 11 36 11 29 11 22 11 16 11 09 11 01 10 57 10 5220 12 35 12 31 12 28 12 26 12 23 12 21 12 18 12 15 12 12 12 09 12 06 12 03 12 01 11 5821 12 54 12 55 12 56 12 56 12 57 12 57 12 58 12 59 12 59 13 00 13 01 13 02 13 02 13 0322 13 13 13 18 13 23 13 26 13 30 13 32 13 37 13 42 13 46 13 50 13 54 13 59 14 02 14 06

23 13 33 13 43 13 51 13 57 14 03 14 08 14 17 14 24 14 32 14 39 14 47 14 56 15 01 15 0724 13 55 14 09 14 20 14 30 14 38 14 45 14 57 15 08 15 18 15 28 15 39 15 52 15 59 16 0725 14 21 14 39 14 53 15 05 15 15 15 24 15 39 15 52 16 05 16 18 16 31 16 47 16 56 17 0626 14 52 15 13 15 30 15 43 15 55 16 05 16 23 16 38 16 53 17 07 17 23 17 41 17 51 18 0327 15 29 15 53 16 11 16 26 16 39 16 50 17 09 17 26 17 41 17 57 18 13 18 33 18 44 18 57

28 16 15 16 39 16 58 17 13 17 26 17 37 17 57 18 14 18 30 18 46 19 03 19 22 19 33 19 4629 17 07 17 31 17 49 18 04 18 16 18 27 18 46 19 03 19 18 19 33 19 50 20 08 20 19 20 3230 18 06 18 28 18 44 18 58 19 09 19 19 19 36 19 51 20 05 20 19 20 34 20 51 21 01 21 12

July 1 19 10 19 28 19 42 19 53 20 03 20 12 20 26 20 39 20 51 21 03 21 16 21 31 21 39 21 492 20 17 20 30 20 41 20 50 20 58 21 05 21 17 21 27 21 36 21 46 21 56 22 08 22 14 22 22

MOONSET


9 13 54 13 58 14 01 14 03 14 06 14 08 14 11 14 15 14 17 14 20 14 24 14 27 14 29 14 3110 14 15 14 23 14 30 14 36 14 41 14 46 14 53 15 00 15 07 15 13 15 20 15 28 15 33 15 3811 14 39 14 53 15 03 15 13 15 20 15 27 15 39 15 49 15 59 16 09 16 20 16 32 16 39 16 4712 15 10 15 28 15 43 15 55 16 05 16 14 16 29 16 43 16 56 17 09 17 22 17 38 17 47 17 58

13 15 49 16 12 16 29 16 44 16 56 17 07 17 25 17 41 17 56 18 11 18 27 18 45 18 56 19 0814 16 41 17 06 17 25 17 41 17 54 18 06 18 25 18 42 18 58 19 14 19 31 19 51 20 02 20 1515 17 47 18 11 18 30 18 45 18 58 19 10 19 29 19 46 20 01 20 17 20 34 20 53 21 04 21 1616 19 03 19 24 19 41 19 55 20 06 20 16 20 34 20 49 21 03 21 17 21 31 21 48 21 58 22 0917 20 24 20 41 20 55 21 06 21 15 21 23 21 37 21 49 22 01 22 12 22 24 22 38 22 46 22 54

18 21 47 21 59 22 08 22 16 22 22 22 28 22 38 22 47 22 55 23 03 23 12 23 22 23 27 23 3319 23 07 23 14 23 19 23 24 23 28 23 31 23 37 23 42 23 46 23 51 23 56 . . . . . . . . . . . .20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 01 0 04 0 0821 0 26 0 27 0 28 0 30 0 30 0 31 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 4022 1 41 1 38 1 35 1 33 1 31 1 30 1 27 1 24 1 22 1 19 1 17 1 14 1 12 1 10

23 2 55 2 47 2 41 2 35 2 31 2 27 2 20 2 13 2 08 2 02 1 56 1 49 1 45 1 4024 4 07 3 55 3 45 3 36 3 29 3 23 3 12 3 03 2 54 2 45 2 36 2 25 2 19 2 1225 5 17 5 00 4 47 4 36 4 27 4 18 4 04 3 52 3 40 3 29 3 17 3 03 2 55 2 4626 6 24 6 03 5 47 5 34 5 23 5 13 4 56 4 42 4 28 4 14 4 00 3 43 3 33 3 2227 7 25 7 02 6 44 6 29 6 17 6 06 5 47 5 31 5 16 5 01 4 45 4 26 4 15 4 03

28 8 20 7 55 7 36 7 21 7 08 6 57 6 37 6 20 6 05 5 49 5 32 5 12 5 01 4 4829 9 06 8 42 8 24 8 09 7 56 7 45 7 25 7 09 6 53 6 37 6 21 6 01 5 50 5 3730 9 44 9 23 9 06 8 52 8 40 8 29 8 11 7 56 7 41 7 26 7 10 6 52 6 42 6 29

July 1 10 16 9 57 9 42 9 30 9 20 9 10 8 55 8 41 8 28 8 15 8 01 7 44 7 35 7 242 10 42 10 27 10 15 10 05 9 56 9 49 9 36 9 24 9 13 9 02 8 51 8 37 8 30 8 21




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


9 1 49 1 49 1 49 1 48 1 48 1 47 1 47 1 46 1 45 1 45 1 44 1 43 1 42 1 4110 2 21 2 19 2 18 2 16 2 14 2 12 2 09 2 07 2 04 2 01 1 58 1 54 1 50 1 4511 2 55 2 53 2 50 2 46 2 43 2 39 2 35 2 31 2 26 2 20 2 14 2 07 2 00 1 5012 3 35 3 31 3 26 3 22 3 17 3 12 3 06 2 59 2 52 2 44 2 35 2 25 2 13 1 59

13 4 20 4 15 4 10 4 04 3 58 3 51 3 44 3 36 3 26 3 16 3 04 2 50 2 33 2 1314 5 13 5 08 5 02 4 55 4 48 4 40 4 32 4 22 4 11 3 59 3 45 3 28 3 07 2 4015 6 15 6 09 6 02 5 56 5 48 5 40 5 31 5 21 5 10 4 57 4 42 4 23 4 01 3 3116 7 22 7 16 7 10 7 04 6 57 6 50 6 41 6 32 6 21 6 09 5 55 5 39 5 18 4 5217 8 32 8 28 8 23 8 17 8 11 8 05 7 58 7 50 7 42 7 32 7 20 7 07 6 51 6 32

18 9 43 9 39 9 35 9 31 9 27 9 22 9 17 9 11 9 05 8 58 8 50 8 40 8 29 8 1619 10 52 10 49 10 47 10 44 10 42 10 39 10 35 10 32 10 28 10 23 10 18 10 12 10 06 9 5820 11 58 11 57 11 56 11 55 11 54 11 53 11 51 11 50 11 48 11 46 11 44 11 41 11 39 11 3521 13 03 13 03 13 04 13 04 13 04 13 05 13 05 13 05 13 06 13 06 13 07 13 08 13 08 13 0922 14 06 14 07 14 09 14 11 14 12 14 14 14 17 14 19 14 22 14 25 14 28 14 32 14 36 14 41

23 15 07 15 10 15 13 15 16 15 19 15 23 15 26 15 31 15 36 15 41 15 47 15 54 16 02 16 1124 16 07 16 11 16 15 16 19 16 24 16 29 16 35 16 41 16 48 16 55 17 04 17 14 17 26 17 4025 17 06 17 11 17 16 17 21 17 27 17 33 17 40 17 48 17 57 18 07 18 18 18 32 18 48 19 0726 18 03 18 08 18 14 18 20 18 27 18 34 18 43 18 52 19 02 19 14 19 27 19 44 20 04 20 2927 18 57 19 02 19 09 19 15 19 23 19 31 19 40 19 50 20 01 20 14 20 29 20 47 21 10 21 40

28 19 46 19 52 19 59 20 05 20 13 20 21 20 30 20 40 20 51 21 04 21 20 21 38 22 01 22 3229 20 32 20 37 20 43 20 50 20 57 21 05 21 13 21 23 21 33 21 46 22 00 22 17 22 38 23 0430 21 12 21 17 21 23 21 29 21 35 21 42 21 49 21 58 22 07 22 18 22 30 22 45 23 02 23 23

July 1 21 49 21 53 21 58 22 03 22 08 22 14 22 20 22 27 22 35 22 43 22 53 23 05 23 18 23 352 22 22 22 25 22 29 22 33 22 37 22 41 22 46 22 51 22 57 23 04 23 11 23 20 23 30 23 42

MOONSET


9 14 31 14 32 14 34 14 35 14 36 14 37 14 39 14 41 14 42 14 44 14 47 14 49 14 52 14 5510 15 38 15 40 15 42 15 45 15 48 15 51 15 54 15 58 16 02 16 07 16 12 16 18 16 25 16 3211 16 47 16 50 16 54 16 58 17 02 17 07 17 12 17 18 17 25 17 32 17 40 17 50 18 01 18 1412 17 58 18 02 18 07 18 13 18 18 18 25 18 32 18 40 18 48 18 58 19 10 19 23 19 39 19 59

13 19 08 19 14 19 19 19 26 19 33 19 40 19 49 19 58 20 09 20 21 20 35 20 51 21 12 21 3914 20 15 20 21 20 27 20 34 20 42 20 50 20 59 21 09 21 20 21 33 21 48 22 06 22 29 22 5915 21 16 21 22 21 28 21 34 21 42 21 49 21 58 22 07 22 18 22 30 22 45 23 02 23 22 23 4916 22 09 22 14 22 19 22 25 22 31 22 38 22 45 22 54 23 03 23 13 23 25 23 39 23 55 . . . .17 22 54 22 58 23 03 23 07 23 12 23 17 23 23 23 29 23 36 23 44 23 53 . . . . . . . . 0 16

18 23 33 23 36 23 39 23 42 23 46 23 49 23 53 23 58 . . . . . . . . . . . . 0 03 0 15 0 3019 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 03 0 08 0 14 0 21 0 29 0 3820 0 08 0 10 0 11 0 13 0 15 0 17 0 19 0 21 0 24 0 27 0 30 0 34 0 38 0 4321 0 40 0 40 0 40 0 41 0 41 0 42 0 42 0 43 0 43 0 44 0 44 0 45 0 46 0 4722 1 10 1 09 1 08 1 07 1 06 1 05 1 04 1 03 1 01 1 00 0 58 0 56 0 53 0 51

23 1 40 1 38 1 36 1 34 1 32 1 29 1 26 1 23 1 19 1 16 1 11 1 06 1 01 0 5424 2 12 2 09 2 06 2 02 1 58 1 54 1 50 1 45 1 39 1 33 1 26 1 19 1 10 0 5925 2 46 2 41 2 37 2 32 2 27 2 22 2 16 2 09 2 02 1 54 1 44 1 34 1 21 1 0626 3 22 3 18 3 12 3 07 3 00 2 54 2 46 2 38 2 29 2 19 2 07 1 53 1 37 1 1627 4 03 3 58 3 52 3 45 3 38 3 31 3 22 3 13 3 03 2 51 2 37 2 20 2 00 1 34

28 4 48 4 42 4 36 4 29 4 22 4 14 4 05 3 55 3 43 3 30 3 15 2 57 2 34 2 0429 5 37 5 31 5 25 5 18 5 11 5 03 4 54 4 44 4 33 4 20 4 04 3 46 3 23 2 5330 6 29 6 24 6 18 6 12 6 05 5 57 5 49 5 40 5 29 5 17 5 03 4 46 4 26 3 59

July 1 7 24 7 19 7 14 7 09 7 03 6 56 6 49 6 41 6 32 6 21 6 09 5 55 5 39 5 182 8 21 8 17 8 13 8 08 8 03 7 58 7 52 7 45 7 38 7 30 7 20 7 09 6 57 6 41




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦


2 20 17 20 30 20 41 20 50 20 58 21 05 21 17 21 27 21 36 21 46 21 56 22 08 22 14 22 223 21 25 21 35 21 42 21 48 21 54 21 58 22 07 22 14 22 21 22 27 22 34 22 42 22 47 22 524 22 35 22 40 22 44 22 47 22 50 22 53 22 57 23 01 23 04 23 08 23 12 23 16 23 19 23 225 23 47 23 47 23 47 23 47 23 48 23 48 23 48 23 48 23 49 23 49 23 49 23 50 23 50 23 50

6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 1 00 0 56 0 52 0 50 0 47 0 45 0 41 0 38 0 34 0 31 0 28 0 24 0 22 0 208 2 17 2 08 2 00 1 54 1 49 1 44 1 36 1 29 1 22 1 16 1 09 1 01 0 57 0 529 3 37 3 22 3 11 3 01 2 53 2 46 2 34 2 23 2 14 2 04 1 53 1 42 1 35 1 27

10 4 58 4 38 4 23 4 11 4 00 3 51 3 35 3 22 3 09 2 56 2 43 2 27 2 19 2 08

11 6 17 5 53 5 35 5 21 5 08 4 58 4 39 4 23 4 08 3 53 3 37 3 19 3 09 2 5712 7 28 7 03 6 44 6 28 6 15 6 03 5 44 5 27 5 11 4 55 4 38 4 18 4 07 3 5413 8 28 8 04 7 45 7 30 7 17 7 06 6 47 6 30 6 14 5 59 5 42 5 23 5 12 4 5914 9 14 8 54 8 37 8 24 8 13 8 03 7 46 7 31 7 17 7 03 6 48 6 31 6 21 6 1015 9 49 9 34 9 21 9 11 9 02 8 54 8 40 8 28 8 17 8 06 7 54 7 40 7 32 7 23

16 10 17 10 07 9 58 9 51 9 44 9 39 9 29 9 21 9 13 9 05 8 57 8 47 8 41 8 3517 10 40 10 35 10 30 10 26 10 23 10 20 10 14 10 10 10 06 10 01 9 57 9 51 9 48 9 4518 11 01 11 00 10 59 10 58 10 58 10 57 10 57 10 56 10 55 10 55 10 54 10 53 10 53 10 5219 11 20 11 24 11 27 11 29 11 32 11 34 11 37 11 40 11 43 11 46 11 49 11 53 11 55 11 5720 11 40 11 48 11 55 12 00 12 05 12 09 12 17 12 23 12 30 12 36 12 43 12 50 12 55 13 00

21 12 01 12 14 12 24 12 32 12 39 12 46 12 57 13 07 13 16 13 25 13 35 13 47 13 53 14 0122 12 25 12 42 12 55 13 06 13 16 13 24 13 38 13 51 14 03 14 15 14 27 14 42 14 51 15 0023 12 54 13 15 13 30 13 44 13 55 14 05 14 21 14 36 14 50 15 04 15 19 15 36 15 46 15 5824 13 29 13 52 14 10 14 25 14 37 14 48 15 07 15 23 15 38 15 53 16 10 16 29 16 40 16 5225 14 12 14 36 14 55 15 10 15 23 15 34 15 54 16 11 16 26 16 42 16 59 17 19 17 30 17 43

MOONSET


2 10 42 10 27 10 15 10 05 9 56 9 49 9 36 9 24 9 13 9 02 8 51 8 37 8 30 8 213 11 03 10 52 10 44 10 36 10 30 10 24 10 15 10 06 9 58 9 50 9 41 9 31 9 25 9 184 11 23 11 16 11 11 11 06 11 02 10 58 10 52 10 47 10 42 10 36 10 31 10 24 10 21 10 175 11 41 11 38 11 36 11 35 11 33 11 32 11 30 11 28 11 26 11 24 11 21 11 19 11 18 11 16

6 11 59 12 01 12 02 12 04 12 05 12 06 12 07 12 09 12 10 12 12 12 13 12 15 12 16 12 177 12 18 12 24 12 30 12 34 12 38 12 41 12 47 12 52 12 57 13 02 13 07 13 13 13 16 13 208 12 40 12 51 13 00 13 07 13 14 13 20 13 29 13 38 13 46 13 55 14 03 14 13 14 19 14 269 13 06 13 22 13 35 13 45 13 54 14 02 14 16 14 28 14 39 14 51 15 03 15 17 15 25 15 34

10 13 40 14 00 14 17 14 30 14 41 14 51 15 08 15 23 15 37 15 50 16 05 16 22 16 32 16 44

11 14 25 14 49 15 07 15 22 15 35 15 46 16 05 16 22 16 38 16 53 17 10 17 29 17 40 17 5312 15 23 15 48 16 07 16 23 16 36 16 48 17 08 17 25 17 41 17 57 18 14 18 33 18 45 18 5813 16 35 16 59 17 17 17 31 17 44 17 55 18 13 18 29 18 44 18 59 19 15 19 33 19 44 19 5614 17 57 18 16 18 31 18 44 18 54 19 04 19 19 19 33 19 46 19 59 20 12 20 27 20 36 20 4615 19 22 19 36 19 48 19 57 20 05 20 12 20 24 20 34 20 44 20 54 21 04 21 15 21 22 21 30

16 20 47 20 56 21 03 21 09 21 14 21 18 21 26 21 32 21 38 21 45 21 51 21 58 22 02 22 0717 22 09 22 12 22 15 22 17 22 20 22 21 22 24 22 27 22 30 22 32 22 35 22 37 22 39 22 4118 23 27 23 26 23 25 23 24 23 23 23 22 23 21 23 19 23 18 23 17 23 16 23 14 23 13 23 1319 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 56 23 50 23 47 23 4320 0 43 0 37 0 32 0 28 0 24 0 21 0 15 0 10 0 05 0 01 . . . . . . . . . . . . . . . .

21 1 57 1 46 1 37 1 29 1 23 1 18 1 08 1 00 0 52 0 44 0 36 0 26 0 21 0 1522 3 08 2 52 2 40 2 30 2 21 2 14 2 00 1 49 1 38 1 28 1 16 1 04 0 56 0 4823 4 15 3 56 3 41 3 28 3 18 3 08 2 52 2 38 2 26 2 13 1 59 1 43 1 34 1 2324 5 18 4 56 4 39 4 24 4 12 4 02 3 44 3 28 3 13 2 59 2 43 2 25 2 14 2 0325 6 15 5 51 5 32 5 17 5 04 4 53 4 34 4 17 4 01 3 46 3 29 3 10 2 59 2 46




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


2 22 22 22 25 22 29 22 33 22 37 22 41 22 46 22 51 22 57 23 04 23 11 23 20 23 30 23 423 22 52 22 55 22 57 23 00 23 03 23 06 23 09 23 13 23 17 23 21 23 26 23 32 23 39 23 464 23 22 23 23 23 24 23 26 23 27 23 29 23 30 23 32 23 35 23 37 23 40 23 43 23 46 23 505 23 50 23 50 23 51 23 51 23 51 23 51 23 51 23 51 23 52 23 52 23 52 23 52 23 53 23 53

6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 577 0 20 0 19 0 18 0 17 0 15 0 14 0 13 0 11 0 09 0 07 0 05 0 03 0 00 . . . .8 0 52 0 50 0 47 0 45 0 42 0 39 0 36 0 32 0 29 0 24 0 20 0 14 0 08 0 019 1 27 1 24 1 20 1 16 1 12 1 08 1 03 0 57 0 52 0 45 0 37 0 29 0 19 0 07

10 2 08 2 04 1 59 1 54 1 49 1 42 1 36 1 29 1 20 1 11 1 01 0 49 0 35 0 18

11 2 57 2 52 2 46 2 40 2 33 2 26 2 18 2 09 1 59 1 47 1 34 1 19 1 00 0 3612 3 54 3 48 3 42 3 35 3 28 3 20 3 11 3 01 2 50 2 37 2 22 2 04 1 42 1 1313 4 59 4 53 4 47 4 40 4 33 4 25 4 16 4 06 3 55 3 43 3 28 3 10 2 48 2 1914 6 10 6 04 5 59 5 53 5 47 5 40 5 32 5 23 5 13 5 02 4 50 4 34 4 16 3 5315 7 23 7 18 7 14 7 09 7 04 6 59 6 53 6 46 6 38 6 30 6 20 6 09 5 56 5 39

16 8 35 8 32 8 29 8 26 8 22 8 19 8 14 8 10 8 05 7 59 7 53 7 45 7 37 7 2617 9 45 9 44 9 42 9 40 9 38 9 36 9 34 9 32 9 29 9 26 9 23 9 19 9 15 9 0918 10 52 10 52 10 52 10 52 10 52 10 51 10 51 10 51 10 50 10 50 10 50 10 49 10 48 10 4819 11 57 11 58 11 59 12 01 12 02 12 03 12 05 12 07 12 09 12 11 12 13 12 16 12 19 12 2220 13 00 13 02 13 05 13 07 13 10 13 13 13 16 13 20 13 24 13 29 13 34 13 40 13 46 13 54

21 14 01 14 04 14 08 14 12 14 16 14 21 14 26 14 31 14 37 14 44 14 52 15 01 15 12 15 2422 15 00 15 05 15 09 15 14 15 20 15 26 15 32 15 40 15 48 15 57 16 08 16 20 16 34 16 5223 15 58 16 03 16 08 16 14 16 21 16 28 16 36 16 44 16 54 17 05 17 18 17 34 17 52 18 1624 16 52 16 58 17 04 17 11 17 18 17 26 17 34 17 44 17 55 18 08 18 22 18 40 19 02 19 3125 17 43 17 49 17 55 18 02 18 10 18 18 18 27 18 37 18 48 19 01 19 17 19 35 19 58 20 29

MOONSET


2 8 21 8 17 8 13 8 08 8 03 7 58 7 52 7 45 7 38 7 30 7 20 7 09 6 57 6 413 9 18 9 15 9 12 9 09 9 05 9 01 8 57 8 52 8 47 8 41 8 34 8 26 8 17 8 064 10 17 10 15 10 13 10 11 10 08 10 06 10 03 10 00 9 57 9 53 9 49 9 44 9 39 9 325 11 16 11 15 11 14 11 14 11 13 11 12 11 11 11 10 11 08 11 07 11 05 11 03 11 01 10 59

6 12 17 12 17 12 18 12 18 12 19 12 20 12 20 12 21 12 22 12 23 12 24 12 25 12 26 12 287 13 20 13 22 13 24 13 25 13 28 13 30 13 32 13 35 13 38 13 41 13 45 13 49 13 54 14 008 14 26 14 29 14 32 14 35 14 39 14 43 14 47 14 52 14 57 15 03 15 10 15 17 15 26 15 379 15 34 15 38 15 43 15 47 15 52 15 58 16 04 16 11 16 18 16 27 16 37 16 48 17 02 17 18

10 16 44 16 49 16 54 17 00 17 07 17 14 17 21 17 30 17 40 17 51 18 03 18 19 18 37 19 00

11 17 53 17 59 18 05 18 11 18 19 18 26 18 35 18 45 18 56 19 09 19 24 19 41 20 03 20 3212 18 58 19 04 19 10 19 17 19 24 19 32 19 41 19 51 20 02 20 15 20 30 20 48 21 10 21 3913 19 56 20 01 20 07 20 13 20 20 20 27 20 35 20 44 20 54 21 06 21 19 21 35 21 54 22 1714 20 46 20 51 20 56 21 01 21 06 21 12 21 19 21 26 21 34 21 43 21 54 22 06 22 20 22 3715 21 30 21 33 21 36 21 40 21 44 21 49 21 53 21 59 22 05 22 11 22 18 22 27 22 36 22 48

16 22 07 22 09 22 11 22 14 22 16 22 19 22 22 22 25 22 29 22 33 22 37 22 42 22 48 22 5517 22 41 22 42 22 43 22 44 22 45 22 46 22 47 22 48 22 49 22 51 22 53 22 55 22 57 22 5918 23 13 23 12 23 12 23 11 23 11 23 10 23 10 23 09 23 08 23 07 23 06 23 05 23 04 23 0319 23 43 23 42 23 40 23 38 23 36 23 34 23 32 23 29 23 27 23 24 23 20 23 16 23 12 23 0720 . . . . . . . . . . . . . . . . . . . . 23 59 23 55 23 51 23 46 23 41 23 35 23 28 23 20 23 11

21 0 15 0 12 0 09 0 06 0 03 . . . . . . . . . . . . . . . . . . . . 23 52 23 42 23 31 23 1722 0 48 0 44 0 40 0 36 0 31 0 26 0 20 0 14 0 08 0 00 . . . . . . . . 23 45 23 2623 1 23 1 19 1 14 1 08 1 03 0 56 0 49 0 42 0 33 0 24 0 13 0 00 . . . . 23 4124 2 03 1 57 1 51 1 45 1 39 1 31 1 23 1 14 1 04 0 53 0 39 0 24 0 05 . . . .25 2 46 2 40 2 34 2 27 2 20 2 12 2 03 1 53 1 42 1 29 1 15 0 57 0 35 0 06




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦


25 14 12 14 36 14 55 15 10 15 23 15 34 15 54 16 11 16 26 16 42 16 59 17 19 17 30 17 4326 15 02 15 26 15 44 15 59 16 12 16 23 16 43 16 59 17 15 17 30 17 47 18 06 18 17 18 3027 15 59 16 21 16 38 16 52 17 04 17 15 17 32 17 48 18 02 18 17 18 32 18 50 19 00 19 1228 17 01 17 20 17 35 17 48 17 58 18 07 18 23 18 36 18 49 19 02 19 15 19 31 19 40 19 50

29 18 07 18 23 18 35 18 44 18 53 19 00 19 13 19 24 19 35 19 45 19 56 20 09 20 16 20 2430 19 15 19 26 19 35 19 42 19 48 19 54 20 03 20 11 20 19 20 27 20 35 20 44 20 49 20 5631 20 25 20 31 20 36 20 41 20 44 20 48 20 53 20 58 21 03 21 07 21 12 21 18 21 21 21 25

Aug. 1 21 35 21 37 21 38 21 40 21 41 21 42 21 44 21 45 21 46 21 48 21 49 21 51 21 52 21 532 22 47 22 44 22 42 22 40 22 38 22 37 22 35 22 33 22 31 22 29 22 27 22 25 22 23 22 22

3 . . . . 23 53 23 47 23 42 23 38 23 34 23 28 23 22 23 17 23 11 23 06 23 00 22 56 22 524 0 01 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 57 23 48 23 37 23 32 23 255 1 17 1 04 0 54 0 46 0 39 0 33 0 23 0 14 0 05 . . . . . . . . . . . . . . . . . . . .6 2 35 2 17 2 04 1 53 1 43 1 35 1 21 1 08 0 57 0 45 0 33 0 19 0 11 0 027 3 52 3 31 3 14 3 00 2 49 2 39 2 21 2 06 1 52 1 38 1 23 1 07 0 57 0 46

8 5 06 4 41 4 23 4 07 3 54 3 43 3 24 3 07 2 51 2 36 2 19 2 00 1 49 1 379 6 10 5 46 5 26 5 11 4 58 4 46 4 26 4 09 3 53 3 37 3 20 3 01 2 49 2 36

10 7 03 6 40 6 23 6 08 5 56 5 46 5 27 5 11 4 56 4 41 4 25 4 07 3 56 3 4411 7 44 7 26 7 11 6 59 6 49 6 40 6 24 6 11 5 58 5 45 5 31 5 16 5 07 4 5612 8 16 8 02 7 52 7 43 7 35 7 28 7 17 7 06 6 57 6 47 6 37 6 25 6 18 6 10

13 8 42 8 33 8 27 8 21 8 17 8 12 8 05 7 59 7 52 7 46 7 40 7 32 7 28 7 2314 9 04 9 01 8 58 8 56 8 54 8 53 8 50 8 47 8 45 8 43 8 40 8 38 8 36 8 3415 9 24 9 26 9 27 9 28 9 30 9 31 9 32 9 34 9 35 9 37 9 38 9 40 9 41 9 4216 9 44 9 51 9 56 10 00 10 04 10 07 10 13 10 19 10 24 10 29 10 34 10 40 10 44 10 4817 10 05 10 16 10 25 10 32 10 39 10 45 10 54 11 03 11 11 11 20 11 28 11 39 11 45 11 51

MOONSET


25 6 15 5 51 5 32 5 17 5 04 4 53 4 34 4 17 4 01 3 46 3 29 3 10 2 59 2 4626 7 04 6 40 6 21 6 06 5 53 5 42 5 23 5 06 4 50 4 34 4 17 3 58 3 46 3 3327 7 45 7 23 7 05 6 51 6 38 6 28 6 09 5 53 5 38 5 23 5 07 4 48 4 37 4 2428 8 19 7 59 7 43 7 31 7 20 7 10 6 53 6 39 6 25 6 11 5 57 5 40 5 30 5 19

29 8 46 8 30 8 17 8 06 7 57 7 49 7 35 7 23 7 11 7 00 6 47 6 33 6 24 6 1530 9 09 8 57 8 47 8 39 8 32 8 26 8 15 8 05 7 56 7 47 7 37 7 26 7 20 7 1231 9 30 9 21 9 15 9 09 9 05 9 00 8 53 8 46 8 40 8 34 8 27 8 20 8 15 8 10

Aug. 1 9 48 9 44 9 41 9 38 9 36 9 34 9 30 9 27 9 24 9 21 9 17 9 14 9 11 9 092 10 06 10 06 10 06 10 06 10 07 10 07 10 07 10 07 10 08 10 08 10 08 10 08 10 08 10 09

3 10 24 10 28 10 32 10 36 10 38 10 41 10 45 10 49 10 53 10 56 11 00 11 04 11 07 11 104 10 44 10 53 11 00 11 07 11 12 11 17 11 25 11 33 11 39 11 46 11 54 12 02 12 07 12 125 11 07 11 21 11 32 11 41 11 49 11 56 12 09 12 19 12 29 12 39 12 50 13 02 13 09 13 186 11 36 11 55 12 09 12 21 12 32 12 41 12 56 13 10 13 23 13 35 13 49 14 05 14 14 14 257 12 14 12 36 12 54 13 08 13 20 13 31 13 49 14 05 14 20 14 35 14 51 15 09 15 20 15 32

8 13 04 13 29 13 48 14 03 14 17 14 28 14 48 15 05 15 21 15 37 15 54 16 13 16 24 16 389 14 08 14 33 14 52 15 07 15 20 15 31 15 51 16 08 16 23 16 39 16 56 17 15 17 26 17 38

10 15 25 15 47 16 04 16 17 16 29 16 39 16 57 17 12 17 26 17 40 17 55 18 12 18 21 18 3311 16 50 17 07 17 20 17 31 17 40 17 49 18 03 18 15 18 26 18 37 18 49 19 03 19 11 19 2012 18 17 18 28 18 37 18 45 18 52 18 57 19 07 19 16 19 24 19 32 19 40 19 49 19 55 20 01

13 19 42 19 48 19 53 19 57 20 01 20 04 20 09 20 14 20 18 20 22 20 26 20 31 20 34 20 3714 21 05 21 06 21 07 21 07 21 07 21 08 21 08 21 09 21 09 21 10 21 10 21 10 21 11 21 1115 22 25 22 21 22 17 22 14 22 11 22 09 22 05 22 02 21 58 21 55 21 52 21 48 21 45 21 4316 23 42 23 32 23 25 23 19 23 13 23 08 23 00 22 53 22 47 22 40 22 33 22 25 22 20 22 1517 . . . . . . . . . . . . . . . . . . . . . . . . 23 54 23 44 23 34 23 24 23 14 23 02 22 56 22 48




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


25 17 43 17 49 17 55 18 02 18 10 18 18 18 27 18 37 18 48 19 01 19 17 19 35 19 58 20 2926 18 30 18 36 18 42 18 48 18 56 19 04 19 12 19 22 19 33 19 46 20 00 20 18 20 40 21 0827 19 12 19 17 19 23 19 29 19 36 19 43 19 51 20 00 20 10 20 21 20 34 20 49 21 08 21 3128 19 50 19 55 19 59 20 05 20 10 20 16 20 23 20 31 20 39 20 48 20 59 21 12 21 26 21 44

29 20 24 20 28 20 32 20 36 20 40 20 45 20 51 20 57 21 03 21 11 21 19 21 28 21 39 21 5230 20 56 20 58 21 01 21 04 21 07 21 11 21 15 21 19 21 24 21 29 21 35 21 41 21 49 21 5831 21 25 21 26 21 28 21 30 21 32 21 34 21 36 21 39 21 42 21 45 21 48 21 52 21 57 22 02

Aug. 1 21 53 21 54 21 54 21 55 21 56 21 56 21 57 21 58 21 59 22 00 22 01 22 02 22 03 22 052 22 22 22 21 22 21 22 20 22 19 22 18 22 18 22 17 22 16 22 14 22 13 22 12 22 10 22 08

3 22 52 22 50 22 48 22 46 22 44 22 42 22 39 22 37 22 34 22 30 22 26 22 22 22 17 22 124 23 25 23 22 23 19 23 16 23 12 23 08 23 04 22 59 22 54 22 49 22 42 22 35 22 27 22 175 . . . . 23 58 23 54 23 49 23 44 23 39 23 33 23 27 23 19 23 11 23 02 22 52 22 39 22 256 0 02 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 52 23 41 23 29 23 15 22 59 22 387 0 46 0 41 0 35 0 30 0 23 0 17 0 09 0 01 . . . . . . . . . . . . 23 51 23 31 23 04

8 1 37 1 31 1 25 1 18 1 11 1 04 0 55 0 46 0 35 0 23 0 08 . . . . . . . . 23 539 2 36 2 31 2 24 2 17 2 10 2 02 1 53 1 43 1 32 1 19 1 03 0 45 0 23 . . . .

10 3 44 3 38 3 32 3 26 3 19 3 11 3 03 2 54 2 43 2 31 2 17 2 00 1 39 1 1311 4 56 4 51 4 46 4 41 4 35 4 29 4 22 4 14 4 05 3 55 3 44 3 31 3 15 2 5512 6 10 6 07 6 03 5 59 5 55 5 50 5 45 5 39 5 33 5 26 5 17 5 08 4 57 4 44

13 7 23 7 21 7 19 7 16 7 14 7 11 7 08 7 04 7 00 6 56 6 51 6 46 6 39 6 3214 8 34 8 33 8 33 8 32 8 31 8 30 8 28 8 27 8 26 8 24 8 23 8 21 8 18 8 1615 9 42 9 43 9 43 9 44 9 45 9 45 9 46 9 47 9 48 9 49 9 50 9 52 9 53 9 5516 10 48 10 50 10 52 10 54 10 56 10 58 11 01 11 04 11 07 11 11 11 15 11 20 11 25 11 3117 11 51 11 54 11 57 12 01 12 05 12 09 12 13 12 18 12 23 12 29 12 36 12 44 12 53 13 04

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mJuly 24 2 03 1 57 1 51 1 45 1 39 1 31 1 23 1 14 1 04 0 53 0 39 0 24 0 05 . . . .

25 2 46 2 40 2 34 2 27 2 20 2 12 2 03 1 53 1 42 1 29 1 15 0 57 0 35 0 0626 3 33 3 27 3 21 3 14 3 07 2 59 2 50 2 40 2 28 2 15 2 00 1 41 1 18 0 4827 4 24 4 19 4 13 4 06 3 59 3 51 3 43 3 33 3 22 3 10 2 55 2 38 2 17 1 4928 5 19 5 14 5 08 5 02 4 56 4 49 4 41 4 33 4 23 4 12 4 00 3 45 3 27 3 04

29 6 15 6 11 6 06 6 01 5 56 5 50 5 44 5 36 5 29 5 20 5 09 4 57 4 43 4 2630 7 12 7 09 7 05 7 02 6 57 6 53 6 48 6 43 6 37 6 30 6 22 6 14 6 03 5 5131 8 10 8 08 8 06 8 03 8 00 7 57 7 54 7 50 7 46 7 42 7 37 7 31 7 25 7 17

Aug. 1 9 09 9 08 9 07 9 05 9 04 9 02 9 01 8 59 8 57 8 55 8 52 8 50 8 46 8 432 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 09 10 10 10 10

3 11 10 11 11 11 12 11 14 11 15 11 17 11 19 11 21 11 23 11 25 11 28 11 31 11 35 11 394 12 12 12 15 12 18 12 20 12 23 12 27 12 30 12 34 12 39 12 44 12 49 12 55 13 03 13 115 13 18 13 21 13 25 13 29 13 34 13 39 13 44 13 50 13 57 14 04 14 12 14 22 14 34 14 476 14 25 14 29 14 34 14 40 14 46 14 52 14 59 15 07 15 16 15 25 15 37 15 50 16 06 16 267 15 32 15 37 15 43 15 50 15 57 16 04 16 12 16 22 16 32 16 44 16 58 17 15 17 35 18 02

8 16 38 16 43 16 50 16 56 17 04 17 12 17 21 17 31 17 42 17 55 18 10 18 29 18 51 19 219 17 38 17 44 17 50 17 57 18 04 18 12 18 20 18 30 18 41 18 53 19 07 19 24 19 45 20 12

10 18 33 18 38 18 43 18 49 18 55 19 02 19 09 19 17 19 26 19 37 19 49 20 03 20 19 20 4011 19 20 19 24 19 28 19 32 19 37 19 43 19 48 19 55 20 02 20 10 20 18 20 29 20 41 20 5512 20 01 20 04 20 06 20 09 20 13 20 16 20 20 20 24 20 29 20 34 20 40 20 47 20 54 21 03

13 20 37 20 39 20 40 20 42 20 44 20 45 20 47 20 50 20 52 20 55 20 58 21 01 21 05 21 0914 21 11 21 11 21 11 21 11 21 11 21 11 21 12 21 12 21 12 21 12 21 12 21 13 21 13 21 1315 21 43 21 42 21 41 21 39 21 38 21 36 21 35 21 33 21 31 21 29 21 27 21 24 21 21 21 1716 22 15 22 13 22 10 22 07 22 05 22 02 21 58 21 55 21 51 21 46 21 41 21 35 21 29 21 2117 22 48 22 44 22 41 22 37 22 33 22 28 22 23 22 18 22 12 22 05 21 57 21 49 21 39 21 27




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mAug. 16 9 44 9 51 9 56 10 00 10 04 10 07 10 13 10 19 10 24 10 29 10 34 10 40 10 44 10 48

17 10 05 10 16 10 25 10 32 10 39 10 45 10 54 11 03 11 11 11 20 11 28 11 39 11 45 11 5118 10 29 10 44 10 56 11 06 11 15 11 23 11 36 11 48 11 59 12 10 12 22 12 35 12 43 12 5219 10 56 11 15 11 30 11 43 11 54 12 03 12 19 12 33 12 47 13 00 13 14 13 31 13 40 13 5120 11 29 11 51 12 09 12 23 12 35 12 46 13 04 13 20 13 35 13 50 14 06 14 24 14 35 14 47

21 12 09 12 33 12 52 13 07 13 20 13 31 13 50 14 07 14 23 14 39 14 56 15 15 15 26 15 3922 12 57 13 21 13 40 13 55 14 08 14 19 14 39 14 55 15 11 15 27 15 44 16 03 16 14 16 2723 13 52 14 15 14 32 14 47 14 59 15 10 15 28 15 44 15 59 16 14 16 30 16 48 16 59 17 1124 14 53 15 13 15 29 15 41 15 52 16 02 16 18 16 33 16 46 17 00 17 14 17 30 17 40 17 5025 15 58 16 14 16 27 16 38 16 47 16 55 17 09 17 21 17 32 17 43 17 55 18 09 18 17 18 26

26 17 06 17 18 17 28 17 36 17 43 17 49 17 59 18 09 18 17 18 26 18 35 18 45 18 51 18 5827 18 15 18 23 18 29 18 35 18 39 18 43 18 50 18 56 19 01 19 07 19 13 19 20 19 24 19 2828 19 26 19 29 19 32 19 34 19 36 19 38 19 40 19 43 19 45 19 48 19 50 19 53 19 55 19 5729 20 37 20 36 20 35 20 34 20 33 20 33 20 32 20 31 20 30 20 29 20 28 20 27 20 26 20 2530 21 50 21 44 21 40 21 35 21 32 21 29 21 24 21 19 21 15 21 11 21 06 21 01 20 58 20 55

31 23 05 22 54 22 46 22 38 22 32 22 27 22 17 22 09 22 02 21 54 21 46 21 37 21 32 21 26Sept. 1 . . . . . . . . 23 53 23 43 23 34 23 26 23 13 23 02 22 51 22 41 22 29 22 17 22 09 22 01

2 0 21 0 05 . . . . . . . . . . . . . . . . . . . . 23 57 23 44 23 31 23 17 23 01 22 51 22 413 1 37 1 17 1 01 0 48 0 37 0 28 0 11 . . . . . . . . . . . . . . . . 23 50 23 40 23 274 2 50 2 27 2 08 1 54 1 41 1 30 1 11 0 55 0 40 0 25 0 09 . . . . . . . . . . . .

5 3 57 3 32 3 12 2 56 2 43 2 32 2 12 1 55 1 39 1 23 1 06 0 46 0 35 0 226 4 53 4 29 4 10 3 55 3 42 3 31 3 12 2 55 2 39 2 24 2 07 1 48 1 36 1 247 5 37 5 17 5 01 4 47 4 36 4 26 4 09 3 54 3 40 3 26 3 11 2 54 2 44 2 328 6 12 5 56 5 44 5 33 5 24 5 16 5 02 4 50 4 39 4 28 4 16 4 02 3 54 3 449 6 40 6 30 6 21 6 14 6 07 6 02 5 52 5 44 5 36 5 28 5 19 5 10 5 04 4 58

MOONSET


17 . . . . . . . . . . . . . . . . . . . . . . . . 23 54 23 44 23 34 23 24 23 14 23 02 22 56 22 4818 0 55 0 41 0 30 0 21 0 13 0 06 . . . . . . . . . . . . . . . . 23 56 23 42 23 33 23 2319 2 05 1 47 1 33 1 21 1 11 1 02 0 47 0 34 0 22 0 09 . . . . . . . . . . . . . . . .20 3 11 2 49 2 32 2 18 2 07 1 57 1 39 1 24 1 10 0 55 0 40 0 23 0 13 0 01

21 4 10 3 46 3 28 3 13 3 00 2 49 2 30 2 13 1 58 1 42 1 26 1 07 0 56 0 4322 5 01 4 37 4 18 4 03 3 50 3 39 3 19 3 02 2 46 2 30 2 13 1 54 1 43 1 2923 5 45 5 22 5 04 4 49 4 36 4 25 4 06 3 50 3 34 3 19 3 02 2 43 2 32 2 1924 6 21 6 00 5 44 5 30 5 19 5 09 4 51 4 36 4 22 4 08 3 52 3 35 3 25 3 1325 6 50 6 33 6 19 6 07 5 58 5 49 5 34 5 21 5 09 4 56 4 43 4 28 4 19 4 08

26 7 15 7 01 6 50 6 41 6 33 6 26 6 15 6 04 5 54 5 44 5 33 5 21 5 14 5 0627 7 36 7 26 7 19 7 12 7 07 7 02 6 53 6 46 6 39 6 31 6 24 6 15 6 10 6 0428 7 55 7 49 7 45 7 42 7 38 7 36 7 31 7 27 7 23 7 19 7 14 7 09 7 06 7 0329 8 12 8 11 8 11 8 10 8 09 8 09 8 08 8 07 8 07 8 06 8 05 8 04 8 03 8 0330 8 30 8 34 8 36 8 39 8 41 8 43 8 46 8 48 8 51 8 54 8 56 9 00 9 01 9 03

31 8 49 8 57 9 04 9 09 9 14 9 18 9 25 9 31 9 37 9 43 9 49 9 56 10 01 10 05Sept. 1 9 11 9 23 9 33 9 42 9 49 9 55 10 06 10 16 10 25 10 34 10 44 10 55 11 02 11 09

2 9 37 9 54 10 08 10 19 10 28 10 37 10 51 11 04 11 16 11 28 11 41 11 56 12 04 12 143 10 10 10 31 10 48 11 02 11 13 11 23 11 41 11 56 12 10 12 25 12 40 12 57 13 08 13 194 10 54 11 18 11 36 11 52 12 05 12 16 12 35 12 52 13 08 13 23 13 40 13 59 14 11 14 24

5 11 50 12 15 12 34 12 50 13 03 13 15 13 34 13 51 14 07 14 23 14 40 15 00 15 11 15 246 12 59 13 22 13 40 13 55 14 08 14 18 14 37 14 53 15 08 15 23 15 39 15 57 16 08 16 207 14 19 14 38 14 53 15 06 15 16 15 26 15 42 15 55 16 08 16 21 16 35 16 50 16 59 17 098 15 44 15 58 16 10 16 19 16 27 16 34 16 46 16 57 17 06 17 16 17 26 17 38 17 45 17 529 17 10 17 19 17 26 17 32 17 37 17 42 17 49 17 56 18 02 18 08 18 15 18 22 18 26 18 31




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


17 11 51 11 54 11 57 12 01 12 05 12 09 12 13 12 18 12 23 12 29 12 36 12 44 12 53 13 0418 12 52 12 56 13 01 13 05 13 11 13 16 13 22 13 29 13 36 13 45 13 54 14 06 14 19 14 3519 13 51 13 56 14 01 14 07 14 13 14 20 14 27 14 36 14 45 14 56 15 08 15 22 15 40 16 0120 14 47 14 53 14 59 15 05 15 12 15 20 15 28 15 38 15 48 16 00 16 15 16 32 16 53 17 20

21 15 39 15 45 15 51 15 58 16 06 16 14 16 23 16 33 16 44 16 57 17 13 17 31 17 54 18 2522 16 27 16 33 16 39 16 46 16 54 17 02 17 10 17 20 17 32 17 45 18 00 18 18 18 40 19 1023 17 11 17 17 17 22 17 29 17 35 17 43 17 51 18 00 18 11 18 23 18 36 18 52 19 12 19 3724 17 50 17 55 18 00 18 06 18 12 18 18 18 26 18 33 18 42 18 52 19 04 19 17 19 33 19 5325 18 26 18 30 18 34 18 39 18 43 18 49 18 55 19 01 19 08 19 16 19 25 19 36 19 48 20 03

26 18 58 19 01 19 04 19 08 19 11 19 15 19 20 19 24 19 30 19 36 19 42 19 50 19 58 20 0927 19 28 19 30 19 32 19 34 19 37 19 39 19 42 19 45 19 48 19 52 19 56 20 01 20 07 20 1328 19 57 19 58 19 59 20 00 20 01 20 02 20 03 20 04 20 06 20 07 20 09 20 11 20 13 20 1629 20 25 20 25 20 25 20 25 20 24 20 24 20 23 20 23 20 22 20 22 20 21 20 21 20 20 20 1930 20 55 20 53 20 52 20 50 20 48 20 47 20 45 20 42 20 40 20 37 20 34 20 31 20 27 20 22

31 21 26 21 24 21 21 21 18 21 15 21 11 21 08 21 04 20 59 20 54 20 49 20 42 20 35 20 27Sept. 1 22 01 21 57 21 54 21 49 21 45 21 40 21 34 21 29 21 22 21 15 21 06 20 57 20 46 20 33

2 22 41 22 36 22 31 22 26 22 20 22 14 22 07 21 59 21 51 21 41 21 30 21 17 21 02 20 433 23 27 23 22 23 16 23 10 23 03 22 56 22 47 22 38 22 28 22 16 22 03 21 47 21 27 21 024 . . . . . . . . . . . . . . . . 23 55 23 47 23 38 23 28 23 17 23 04 22 49 22 31 22 08 21 39

5 0 22 0 16 0 09 0 03 . . . . . . . . . . . . . . . . . . . . . . . . 23 52 23 34 23 12 22 436 1 24 1 18 1 12 1 05 0 58 0 50 0 41 0 31 0 20 0 07 . . . . . . . . . . . . . . . .7 2 32 2 27 2 21 2 15 2 09 2 02 1 54 1 45 1 36 1 25 1 12 0 56 0 38 0 158 3 44 3 40 3 36 3 31 3 26 3 20 3 14 3 07 3 00 2 51 2 41 2 30 2 16 2 009 4 58 4 55 4 52 4 48 4 45 4 41 4 37 4 32 4 27 4 21 4 15 4 08 3 59 3 49

MOONSET


17 22 48 22 44 22 41 22 37 22 33 22 28 22 23 22 18 22 12 22 05 21 57 21 49 21 39 21 2718 23 23 23 19 23 14 23 09 23 04 22 58 22 51 22 44 22 36 22 27 22 17 22 05 21 51 21 3519 . . . . 23 56 23 51 23 45 23 38 23 31 23 24 23 15 23 05 22 54 22 42 22 27 22 09 21 4720 0 01 . . . . . . . . . . . . . . . . . . . . . . . . 23 52 23 41 23 29 23 14 22 57 22 36 22 08

21 0 43 0 38 0 32 0 25 0 18 0 10 0 01 . . . . . . . . . . . . 23 56 23 37 23 14 22 4422 1 29 1 24 1 17 1 10 1 03 0 55 0 46 0 36 0 24 0 11 . . . . . . . . . . . . 23 3823 2 19 2 14 2 08 2 01 1 54 1 46 1 37 1 27 1 16 1 03 0 48 0 30 0 08 . . . .24 3 13 3 07 3 02 2 56 2 49 2 42 2 34 2 25 2 15 2 03 1 50 1 34 1 15 0 5025 4 08 4 04 3 59 3 54 3 48 3 42 3 35 3 28 3 19 3 09 2 58 2 45 2 30 2 11

26 5 06 5 02 4 58 4 54 4 50 4 45 4 39 4 33 4 27 4 19 4 11 4 01 3 50 3 3627 6 04 6 02 5 59 5 56 5 53 5 49 5 45 5 41 5 37 5 31 5 26 5 19 5 11 5 0228 7 03 7 02 7 00 6 58 6 57 6 55 6 53 6 50 6 48 6 45 6 41 6 38 6 34 6 2929 8 03 8 02 8 02 8 02 8 01 8 01 8 01 8 00 8 00 7 59 7 58 7 58 7 57 7 5630 9 03 9 04 9 05 9 06 9 07 9 09 9 10 9 11 9 13 9 15 9 17 9 19 9 21 9 24

31 10 05 10 07 10 10 10 12 10 15 10 18 10 21 10 24 10 28 10 32 10 37 10 42 10 48 10 55Sept. 1 11 09 11 12 11 16 11 19 11 23 11 28 11 33 11 38 11 44 11 51 11 58 12 07 12 17 12 29

2 12 14 12 18 12 23 12 28 12 33 12 39 12 46 12 53 13 01 13 10 13 21 13 33 13 47 14 053 13 19 13 25 13 30 13 36 13 43 13 50 13 58 14 07 14 17 14 28 14 41 14 57 15 16 15 404 14 24 14 29 14 36 14 42 14 49 14 57 15 06 15 16 15 27 15 40 15 55 16 13 16 36 17 05

5 15 24 15 30 15 36 15 43 15 51 15 59 16 08 16 18 16 29 16 42 16 57 17 15 17 37 18 076 16 20 16 25 16 31 16 37 16 44 16 51 16 59 17 08 17 19 17 30 17 43 17 59 18 18 18 427 17 09 17 14 17 18 17 23 17 29 17 35 17 42 17 49 17 57 18 06 18 17 18 29 18 43 19 018 17 52 17 56 17 59 18 03 18 07 18 12 18 16 18 22 18 28 18 34 18 42 18 50 19 00 19 119 18 31 18 33 18 35 18 37 18 40 18 42 18 45 18 49 18 52 18 56 19 01 19 06 19 11 19 18




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mSept. 8 6 12 5 56 5 44 5 33 5 24 5 16 5 02 4 50 4 39 4 28 4 16 4 02 3 54 3 44

9 6 40 6 30 6 21 6 14 6 07 6 02 5 52 5 44 5 36 5 28 5 19 5 10 5 04 4 5810 7 04 6 59 6 54 6 50 6 47 6 44 6 39 6 34 6 30 6 26 6 22 6 16 6 14 6 1011 7 25 7 25 7 24 7 24 7 24 7 23 7 23 7 23 7 22 7 22 7 22 7 21 7 21 7 2112 7 46 7 50 7 54 7 57 7 59 8 02 8 06 8 09 8 13 8 16 8 20 8 24 8 26 8 29

13 8 07 8 16 8 23 8 29 8 35 8 39 8 48 8 55 9 02 9 09 9 16 9 25 9 30 9 3614 8 30 8 43 8 54 9 03 9 11 9 18 9 30 9 41 9 51 10 01 10 12 10 24 10 31 10 4015 8 56 9 14 9 28 9 40 9 50 9 58 10 14 10 27 10 40 10 52 11 06 11 21 11 30 11 4116 9 27 9 48 10 05 10 19 10 31 10 41 10 59 11 14 11 28 11 43 11 59 12 17 12 27 12 3917 10 05 10 28 10 47 11 02 11 15 11 26 11 45 12 02 12 17 12 33 12 50 13 09 13 20 13 33

18 10 50 11 14 11 33 11 49 12 02 12 13 12 33 12 50 13 06 13 22 13 39 13 59 14 10 14 2319 11 42 12 06 12 25 12 40 12 52 13 03 13 22 13 39 13 54 14 10 14 26 14 45 14 56 15 0920 12 42 13 03 13 20 13 33 13 45 13 55 14 12 14 28 14 42 14 56 15 11 15 28 15 38 15 4921 13 46 14 04 14 18 14 30 14 39 14 48 15 03 15 16 15 28 15 40 15 53 16 08 16 16 16 2622 14 53 15 07 15 18 15 27 15 35 15 42 15 54 16 04 16 14 16 23 16 33 16 45 16 52 16 59

23 16 03 16 12 16 20 16 26 16 31 16 36 16 44 16 52 16 58 17 05 17 12 17 20 17 25 17 3024 17 14 17 19 17 23 17 26 17 29 17 31 17 35 17 39 17 43 17 46 17 50 17 54 17 57 17 5925 18 26 18 26 18 26 18 27 18 27 18 27 18 27 18 27 18 27 18 27 18 28 18 28 18 28 18 2826 19 40 19 35 19 32 19 28 19 26 19 23 19 19 19 16 19 13 19 09 19 06 19 02 19 00 18 5727 20 55 20 46 20 38 20 32 20 26 20 22 20 13 20 06 19 59 19 53 19 46 19 38 19 33 19 28

28 22 12 21 57 21 46 21 36 21 28 21 21 21 09 20 58 20 49 20 39 20 28 20 17 20 10 20 0229 23 28 23 09 22 54 22 42 22 31 22 22 22 07 21 53 21 40 21 28 21 14 20 59 20 50 20 4030 . . . . . . . . . . . . 23 47 23 35 23 24 23 05 22 50 22 35 22 20 22 04 21 46 21 36 21 24

Oct. 1 0 42 0 19 0 01 . . . . . . . . . . . . . . . . 23 48 23 32 23 16 22 59 22 39 22 28 22 152 1 50 1 25 1 05 0 50 0 36 0 25 0 05 . . . . . . . . . . . . 23 57 23 37 23 26 23 13

MOONSET


9 17 10 17 19 17 26 17 32 17 37 17 42 17 49 17 56 18 02 18 08 18 15 18 22 18 26 18 3110 18 36 18 39 18 42 18 44 18 46 18 48 18 50 18 53 18 55 18 57 19 00 19 02 19 04 19 0611 19 59 19 57 19 55 19 54 19 53 19 51 19 50 19 48 19 46 19 45 19 43 19 41 19 40 19 3912 21 19 21 12 21 06 21 01 20 57 20 53 20 47 20 41 20 36 20 31 20 25 20 19 20 16 20 11

13 22 36 22 24 22 14 22 06 22 00 21 53 21 43 21 34 21 25 21 17 21 08 20 57 20 51 20 4514 23 50 23 33 23 20 23 09 23 00 22 52 22 38 22 26 22 14 22 03 21 51 21 37 21 29 21 2015 . . . . . . . . . . . . . . . . 23 58 23 48 23 31 23 17 23 03 22 49 22 35 22 18 22 09 21 5816 0 59 0 38 0 22 0 09 . . . . . . . . . . . . . . . . 23 52 23 37 23 21 23 02 22 51 22 3917 2 02 1 38 1 20 1 06 0 53 0 42 0 24 0 07 . . . . . . . . . . . . 23 48 23 37 23 24

18 2 57 2 32 2 13 1 58 1 45 1 33 1 14 0 57 0 41 0 25 0 08 . . . . . . . . . . . .19 3 44 3 19 3 01 2 46 2 33 2 21 2 02 1 45 1 29 1 14 0 57 0 37 0 26 0 1320 4 22 4 00 3 43 3 29 3 17 3 06 2 48 2 32 2 17 2 02 1 46 1 28 1 17 1 0521 4 53 4 34 4 19 4 07 3 57 3 47 3 31 3 17 3 04 2 51 2 37 2 21 2 11 2 0022 5 19 5 04 4 52 4 42 4 33 4 26 4 13 4 01 3 50 3 39 3 27 3 14 3 06 2 57

23 5 41 5 30 5 21 5 14 5 07 5 02 4 52 4 43 4 35 4 27 4 18 4 08 4 02 3 5524 6 00 5 54 5 48 5 44 5 40 5 36 5 30 5 25 5 20 5 14 5 09 5 03 4 59 4 5525 6 18 6 16 6 14 6 13 6 11 6 10 6 08 6 06 6 04 6 02 6 00 5 58 5 56 5 5526 6 36 6 38 6 40 6 41 6 43 6 44 6 46 6 47 6 49 6 50 6 52 6 54 6 55 6 5627 6 55 7 01 7 07 7 11 7 15 7 19 7 25 7 30 7 35 7 40 7 45 7 51 7 55 7 59

28 7 15 7 27 7 36 7 43 7 50 7 56 8 06 8 14 8 23 8 31 8 40 8 50 8 56 9 0229 7 40 7 56 8 08 8 19 8 28 8 36 8 50 9 02 9 13 9 24 9 36 9 50 9 58 10 0730 8 10 8 31 8 47 9 00 9 11 9 21 9 37 9 52 10 06 10 20 10 35 10 52 11 01 11 13

Oct. 1 8 50 9 13 9 32 9 47 9 59 10 11 10 30 10 46 11 02 11 17 11 34 11 53 12 04 12 172 9 40 10 06 10 25 10 41 10 54 11 06 11 26 11 43 12 00 12 16 12 33 12 53 13 04 13 18




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


9 4 58 4 55 4 52 4 48 4 45 4 41 4 37 4 32 4 27 4 21 4 15 4 08 3 59 3 4910 6 10 6 09 6 07 6 05 6 04 6 02 5 59 5 57 5 55 5 52 5 48 5 45 5 40 5 3511 7 21 7 21 7 21 7 21 7 20 7 20 7 20 7 20 7 20 7 20 7 19 7 19 7 19 7 1912 8 29 8 31 8 32 8 33 8 35 8 37 8 38 8 40 8 43 8 45 8 48 8 51 8 55 8 59

13 9 36 9 38 9 41 9 44 9 47 9 50 9 54 9 58 10 02 10 08 10 13 10 20 10 27 10 3614 10 40 10 43 10 47 10 51 10 56 11 01 11 06 11 12 11 19 11 27 11 35 11 45 11 57 12 1115 11 41 11 46 11 50 11 56 12 02 12 08 12 15 12 23 12 32 12 41 12 53 13 06 13 22 13 4216 12 39 12 44 12 50 12 56 13 03 13 11 13 19 13 28 13 38 13 50 14 04 14 20 14 41 15 0617 13 33 13 39 13 46 13 52 14 00 14 08 14 17 14 27 14 38 14 51 15 06 15 25 15 48 16 18

18 14 23 14 29 14 36 14 43 14 50 14 58 15 07 15 17 15 29 15 42 15 58 16 16 16 40 17 1119 15 09 15 14 15 20 15 27 15 34 15 42 15 50 16 00 16 11 16 23 16 38 16 55 17 16 17 4420 15 49 15 55 16 00 16 06 16 12 16 19 16 27 16 35 16 45 16 56 17 08 17 23 17 40 18 0221 16 26 16 30 16 35 16 40 16 45 16 51 16 57 17 04 17 12 17 21 17 31 17 43 17 56 18 1322 16 59 17 03 17 06 17 10 17 14 17 19 17 24 17 29 17 35 17 42 17 49 17 58 18 08 18 20

23 17 30 17 32 17 35 17 38 17 40 17 43 17 47 17 50 17 55 17 59 18 04 18 10 18 16 18 2424 17 59 18 01 18 02 18 03 18 05 18 06 18 08 18 10 18 12 18 14 18 17 18 20 18 23 18 2725 18 28 18 28 18 28 18 28 18 28 18 29 18 29 18 29 18 29 18 29 18 29 18 29 18 30 18 3026 18 57 18 56 18 55 18 54 18 53 18 51 18 50 18 48 18 46 18 44 18 42 18 39 18 36 18 3327 19 28 19 26 19 24 19 21 19 18 19 15 19 12 19 08 19 05 19 00 18 55 18 50 18 44 18 36

28 20 02 19 59 19 55 19 51 19 47 19 42 19 37 19 32 19 26 19 19 19 12 19 03 18 53 18 4129 20 40 20 36 20 31 20 26 20 20 20 14 20 08 20 00 19 52 19 43 19 33 19 21 19 07 18 5030 21 24 21 19 21 13 21 07 21 00 20 53 20 45 20 36 20 26 20 15 20 02 19 46 19 28 19 05

Oct. 1 22 15 22 09 22 03 21 56 21 49 21 40 21 32 21 22 21 10 20 57 20 42 20 24 20 02 19 332 23 13 23 07 23 00 22 54 22 46 22 38 22 29 22 19 22 07 21 54 21 38 21 20 20 57 20 25

MOONSET


9 18 31 18 33 18 35 18 37 18 40 18 42 18 45 18 49 18 52 18 56 19 01 19 06 19 11 19 1810 19 06 19 06 19 07 19 08 19 09 19 10 19 11 19 12 19 13 19 15 19 16 19 18 19 20 19 2211 19 39 19 38 19 38 19 37 19 36 19 36 19 35 19 34 19 33 19 32 19 31 19 29 19 28 19 2612 20 11 20 10 20 08 20 06 20 03 20 01 19 58 19 56 19 53 19 49 19 45 19 41 19 36 19 30

13 20 45 20 42 20 39 20 35 20 32 20 28 20 23 20 19 20 13 20 07 20 01 19 53 19 45 19 3514 21 20 21 16 21 11 21 07 21 02 20 56 20 50 20 44 20 37 20 28 20 19 20 09 19 56 19 4115 21 58 21 53 21 47 21 42 21 36 21 29 21 22 21 13 21 04 20 54 20 42 20 28 20 12 19 5116 22 39 22 33 22 27 22 21 22 14 22 06 21 58 21 48 21 38 21 26 21 12 20 55 20 34 20 0817 23 24 23 18 23 12 23 05 22 57 22 49 22 40 22 30 22 19 22 06 21 50 21 32 21 09 20 38

18 . . . . . . . . . . . . 23 54 23 46 23 38 23 29 23 19 23 08 22 54 22 39 22 20 21 57 21 2619 0 13 0 07 0 01 . . . . . . . . . . . . . . . . . . . . . . . . 23 52 23 38 23 21 23 00 22 3320 1 05 1 00 0 54 0 47 0 40 0 33 0 24 0 15 0 04 . . . . . . . . . . . . . . . . 23 5221 2 00 1 55 1 50 1 44 1 38 1 32 1 24 1 16 1 07 0 56 0 44 0 30 0 13 . . . .22 2 57 2 53 2 49 2 44 2 39 2 34 2 28 2 21 2 14 2 06 1 56 1 45 1 32 1 16

23 3 55 3 52 3 49 3 46 3 42 3 38 3 34 3 29 3 24 3 18 3 11 3 03 2 54 2 4324 4 55 4 53 4 51 4 49 4 46 4 44 4 41 4 38 4 35 4 31 4 27 4 22 4 17 4 1125 5 55 5 54 5 53 5 53 5 52 5 51 5 50 5 49 5 48 5 46 5 45 5 43 5 41 5 3926 6 56 6 57 6 57 6 58 6 58 6 59 7 00 7 01 7 02 7 03 7 04 7 05 7 07 7 0827 7 59 8 00 8 02 8 04 8 06 8 09 8 11 8 14 8 17 8 21 8 25 8 29 8 34 8 40

28 9 02 9 05 9 09 9 12 9 16 9 20 9 24 9 29 9 34 9 40 9 47 9 55 10 04 10 1429 10 07 10 12 10 16 10 21 10 26 10 31 10 37 10 44 10 52 11 00 11 10 11 21 11 35 11 5130 11 13 11 18 11 23 11 29 11 35 11 42 11 50 11 59 12 08 12 19 12 32 12 47 13 05 13 28

Oct. 1 12 17 12 23 12 29 12 35 12 43 12 50 12 59 13 09 13 20 13 33 13 48 14 05 14 28 14 572 13 18 13 24 13 30 13 37 13 44 13 53 14 02 14 12 14 23 14 37 14 52 15 11 15 34 16 05




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mOct. 1 0 42 0 19 0 01 . . . . . . . . . . . . . . . . 23 48 23 32 23 16 22 59 22 39 22 28 22 15

2 1 50 1 25 1 05 0 50 0 36 0 25 0 05 . . . . . . . . . . . . 23 57 23 37 23 26 23 133 2 48 2 23 2 04 1 48 1 35 1 23 1 04 0 46 0 30 0 14 . . . . . . . . . . . . . . . .4 3 35 3 13 2 55 2 41 2 29 2 18 2 00 1 44 1 29 1 14 0 58 0 40 0 29 0 175 4 12 3 54 3 39 3 28 3 17 3 08 2 53 2 40 2 27 2 14 2 01 1 45 1 36 1 26

6 4 41 4 28 4 17 4 09 4 01 3 54 3 43 3 33 3 23 3 13 3 03 2 51 2 44 2 377 5 06 4 58 4 51 4 46 4 41 4 37 4 29 4 23 4 17 4 11 4 04 3 57 3 53 3 488 5 27 5 24 5 22 5 20 5 18 5 16 5 14 5 11 5 09 5 07 5 05 5 02 5 00 4 599 5 47 5 49 5 51 5 52 5 54 5 55 5 56 5 58 6 00 6 01 6 03 6 05 6 07 6 08

10 6 08 6 14 6 20 6 25 6 29 6 32 6 39 6 44 6 50 6 55 7 01 7 08 7 11 7 16

11 6 29 6 41 6 50 6 58 7 05 7 11 7 22 7 31 7 39 7 48 7 58 8 08 8 15 8 2212 6 54 7 10 7 23 7 34 7 43 7 51 8 05 8 18 8 29 8 41 8 53 9 08 9 16 9 2613 7 23 7 43 7 59 8 12 8 24 8 33 8 50 9 05 9 19 9 33 9 48 10 05 10 15 10 2714 7 58 8 22 8 40 8 55 9 07 9 18 9 37 9 54 10 09 10 25 10 41 11 00 11 11 11 2415 8 41 9 06 9 25 9 41 9 54 10 05 10 25 10 42 10 59 11 15 11 32 11 52 12 04 12 17

16 9 31 9 56 10 15 10 30 10 44 10 55 11 15 11 32 11 48 12 03 12 21 12 40 12 52 13 0517 10 28 10 51 11 09 11 23 11 36 11 46 12 05 12 21 12 35 12 50 13 06 13 24 13 35 13 4718 11 31 11 51 12 06 12 19 12 29 12 39 12 55 13 09 13 22 13 35 13 49 14 05 14 15 14 2519 12 37 12 53 13 05 13 16 13 25 13 32 13 45 13 57 14 08 14 19 14 30 14 43 14 51 14 5920 13 46 13 57 14 07 14 14 14 21 14 26 14 36 14 45 14 53 15 01 15 09 15 19 15 24 15 31

21 14 57 15 03 15 09 15 14 15 17 15 21 15 27 15 32 15 37 15 42 15 47 15 53 15 56 16 0022 16 09 16 11 16 13 16 14 16 15 16 16 16 18 16 20 16 22 16 23 16 25 16 27 16 28 16 2923 17 23 17 20 17 18 17 16 17 15 17 13 17 11 17 09 17 07 17 05 17 03 17 01 16 59 16 5824 18 39 18 32 18 25 18 20 18 16 18 12 18 05 17 59 17 54 17 48 17 43 17 36 17 33 17 2825 19 58 19 45 19 34 19 26 19 19 19 12 19 01 18 52 18 43 18 34 18 25 18 14 18 08 18 01

MOONSET


2 9 40 10 06 10 25 10 41 10 54 11 06 11 26 11 43 12 00 12 16 12 33 12 53 13 04 13 183 10 43 11 08 11 27 11 42 11 55 12 07 12 26 12 43 12 58 13 14 13 31 13 50 14 01 14 134 11 57 12 19 12 35 12 49 13 01 13 11 13 28 13 43 13 57 14 11 14 25 14 42 14 52 15 035 13 18 13 35 13 48 13 59 14 08 14 17 14 30 14 43 14 54 15 05 15 17 15 30 15 38 15 47

6 14 42 14 54 15 03 15 11 15 17 15 23 15 33 15 41 15 49 15 57 16 05 16 14 16 20 16 267 16 07 16 13 16 18 16 22 16 25 16 28 16 33 16 38 16 42 16 46 16 50 16 55 16 58 17 018 17 31 17 31 17 31 17 32 17 32 17 32 17 33 17 33 17 33 17 34 17 34 17 34 17 34 17 349 18 52 18 48 18 44 18 40 18 38 18 35 18 31 18 27 18 24 18 20 18 16 18 12 18 10 18 07

10 20 12 20 02 19 54 19 48 19 42 19 37 19 28 19 21 19 14 19 06 18 59 18 50 18 45 18 40

11 21 29 21 14 21 03 20 53 20 44 20 37 20 25 20 14 20 03 19 53 19 42 19 30 19 22 19 1412 22 42 22 23 22 08 21 56 21 45 21 36 21 20 21 06 20 53 20 40 20 27 20 11 20 02 19 5113 23 50 23 27 23 09 22 55 22 43 22 32 22 14 21 58 21 43 21 28 21 12 20 54 20 44 20 3214 . . . . . . . . . . . . 23 50 23 37 23 26 23 06 22 49 22 33 22 17 22 00 21 40 21 29 21 1615 0 49 0 25 0 06 . . . . . . . . . . . . 23 56 23 38 23 22 23 06 22 49 22 29 22 17 22 04

16 1 40 1 15 0 56 0 40 0 27 0 16 . . . . . . . . . . . . 23 55 23 39 23 19 23 08 22 5517 2 22 1 59 1 40 1 25 1 13 1 02 0 43 0 26 0 11 . . . . . . . . . . . . . . . . 23 5018 2 56 2 35 2 19 2 06 1 54 1 44 1 27 1 12 0 58 0 44 0 29 0 11 0 01 . . . .19 3 23 3 06 2 53 2 42 2 32 2 24 2 09 1 56 1 44 1 32 1 19 1 04 0 56 0 4620 3 46 3 33 3 23 3 14 3 07 3 00 2 49 2 39 2 30 2 20 2 10 1 58 1 51 1 44

21 4 06 3 57 3 50 3 45 3 40 3 35 3 27 3 20 3 14 3 07 3 00 2 52 2 48 2 4322 4 24 4 20 4 16 4 14 4 11 4 09 4 05 4 02 3 58 3 55 3 52 3 48 3 45 3 4323 4 41 4 42 4 42 4 42 4 42 4 42 4 43 4 43 4 43 4 43 4 43 4 44 4 44 4 4424 4 59 5 04 5 08 5 12 5 15 5 17 5 22 5 25 5 29 5 33 5 37 5 41 5 44 5 4725 5 19 5 29 5 37 5 43 5 49 5 54 6 02 6 10 6 17 6 24 6 32 6 41 6 46 6 51




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


2 23 13 23 07 23 00 22 54 22 46 22 38 22 29 22 19 22 07 21 54 21 38 21 20 20 57 20 253 . . . . . . . . . . . . 23 59 23 52 23 45 23 36 23 27 23 17 23 04 22 50 22 34 22 13 21 474 0 17 0 11 0 06 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 45 23 265 1 26 1 21 1 16 1 11 1 05 0 59 0 52 0 44 0 35 0 26 0 14 0 01 . . . . . . . .

6 2 37 2 33 2 30 2 26 2 21 2 17 2 12 2 06 2 00 1 52 1 44 1 35 1 24 1 117 3 48 3 46 3 44 3 41 3 39 3 36 3 33 3 29 3 25 3 21 3 16 3 11 3 05 2 578 4 59 4 58 4 57 4 56 4 55 4 54 4 53 4 52 4 51 4 49 4 47 4 46 4 43 4 419 6 08 6 09 6 09 6 10 6 11 6 11 6 12 6 13 6 14 6 16 6 17 6 19 6 20 6 22

10 7 16 7 18 7 20 7 22 7 24 7 27 7 30 7 33 7 36 7 40 7 45 7 50 7 55 8 02

11 8 22 8 25 8 29 8 32 8 36 8 40 8 45 8 50 8 56 9 03 9 10 9 18 9 28 9 4012 9 26 9 30 9 35 9 40 9 45 9 51 9 57 10 05 10 13 10 22 10 32 10 44 10 58 11 1613 10 27 10 32 10 38 10 44 10 50 10 57 11 05 11 14 11 24 11 35 11 48 12 04 12 23 12 4714 11 24 11 30 11 36 11 43 11 50 11 58 12 07 12 17 12 28 12 41 12 56 13 15 13 37 14 0715 12 17 12 23 12 29 12 36 12 44 12 52 13 02 13 12 13 24 13 37 13 53 14 13 14 37 15 10

16 13 05 13 11 13 17 13 24 13 31 13 39 13 48 13 58 14 10 14 23 14 38 14 56 15 19 15 5017 13 47 13 53 13 58 14 05 14 11 14 19 14 27 14 36 14 47 14 58 15 12 15 28 15 47 16 1218 14 25 14 30 14 35 14 40 14 46 14 53 15 00 15 07 15 16 15 26 15 37 15 50 16 06 16 2419 14 59 15 03 15 07 15 12 15 16 15 21 15 27 15 33 15 40 15 48 15 56 16 06 16 18 16 3220 15 31 15 34 15 37 15 40 15 43 15 47 15 51 15 55 16 00 16 06 16 12 16 19 16 27 16 36

21 16 00 16 02 16 04 16 06 16 08 16 10 16 12 16 15 16 18 16 21 16 25 16 29 16 34 16 3922 16 29 16 30 16 30 16 31 16 31 16 32 16 33 16 34 16 35 16 36 16 37 16 38 16 40 16 4223 16 58 16 57 16 57 16 56 16 55 16 54 16 54 16 53 16 51 16 50 16 49 16 47 16 46 16 4424 17 28 17 27 17 25 17 23 17 20 17 18 17 15 17 12 17 09 17 06 17 02 16 57 16 52 16 4725 18 01 17 58 17 55 17 52 17 48 17 44 17 40 17 35 17 30 17 24 17 17 17 09 17 01 16 51

MOONSET


2 13 18 13 24 13 30 13 37 13 44 13 53 14 02 14 12 14 23 14 37 14 52 15 11 15 34 16 053 14 13 14 19 14 25 14 32 14 39 14 47 14 55 15 05 15 16 15 28 15 42 15 59 16 20 16 474 15 03 15 08 15 13 15 19 15 25 15 32 15 39 15 47 15 56 16 07 16 19 16 32 16 49 17 095 15 47 15 51 15 55 15 59 16 04 16 09 16 15 16 21 16 28 16 36 16 45 16 55 17 07 17 21

6 16 26 16 29 16 31 16 34 16 38 16 41 16 45 16 49 16 54 16 59 17 05 17 12 17 19 17 287 17 01 17 03 17 04 17 06 17 07 17 09 17 11 17 13 17 16 17 18 17 21 17 24 17 28 17 328 17 34 17 35 17 35 17 35 17 35 17 35 17 35 17 35 17 35 17 35 17 35 17 36 17 36 17 369 18 07 18 06 18 04 18 03 18 02 18 00 17 58 17 56 17 54 17 52 17 49 17 46 17 43 17 39

10 18 40 18 37 18 35 18 32 18 29 18 26 18 22 18 18 18 14 18 09 18 04 17 58 17 51 17 43

11 19 14 19 11 19 07 19 03 18 58 18 53 18 48 18 42 18 36 18 29 18 21 18 11 18 00 17 4812 19 51 19 47 19 42 19 37 19 31 19 25 19 18 19 10 19 02 18 52 18 41 18 28 18 14 17 5513 20 32 20 26 20 21 20 14 20 08 20 00 19 52 19 43 19 33 19 21 19 08 18 52 18 32 18 0814 21 16 21 10 21 04 20 57 20 49 20 41 20 32 20 22 20 11 19 58 19 43 19 24 19 01 18 3115 22 04 21 58 21 51 21 44 21 37 21 29 21 19 21 09 20 57 20 44 20 28 20 08 19 44 19 11

16 22 55 22 50 22 43 22 37 22 29 22 21 22 13 22 03 21 51 21 38 21 23 21 05 20 42 20 1217 23 50 23 44 23 39 23 33 23 26 23 19 23 11 23 02 22 52 22 41 22 28 22 12 21 53 21 2818 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 58 23 49 23 38 23 25 23 10 22 5219 0 46 0 42 0 37 0 32 0 26 0 20 0 13 0 06 . . . . . . . . . . . . . . . . . . . . . . . .20 1 44 1 40 1 37 1 33 1 28 1 24 1 19 1 13 1 07 1 00 0 52 0 42 0 32 0 19

21 2 43 2 40 2 38 2 35 2 32 2 29 2 25 2 22 2 17 2 13 2 07 2 01 1 54 1 4622 3 43 3 41 3 40 3 39 3 37 3 36 3 34 3 32 3 30 3 28 3 25 3 22 3 19 3 1523 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4 45 4 4524 5 47 5 48 5 49 5 51 5 52 5 54 5 56 5 58 6 00 6 03 6 06 6 09 6 13 6 1725 6 51 6 54 6 57 7 00 7 03 7 06 7 10 7 14 7 19 7 24 7 30 7 36 7 44 7 53




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦


25 19 58 19 45 19 34 19 26 19 19 19 12 19 01 18 52 18 43 18 34 18 25 18 14 18 08 18 0126 21 16 20 59 20 44 20 33 20 23 20 14 20 00 19 47 19 35 19 23 19 11 18 56 18 48 18 3927 22 34 22 11 21 54 21 40 21 28 21 17 21 00 20 44 20 30 20 15 20 00 19 43 19 33 19 2128 23 45 23 20 23 00 22 45 22 31 22 20 22 00 21 43 21 27 21 11 20 54 20 35 20 23 20 10

29 . . . . . . . . . . . . 23 45 23 32 23 20 23 00 22 42 22 26 22 09 21 52 21 32 21 20 21 0630 0 47 0 21 0 01 . . . . . . . . . . . . 23 56 23 40 23 24 23 09 22 52 22 33 22 22 22 0931 1 37 1 13 0 55 0 39 0 27 0 16 . . . . . . . . . . . . . . . . 23 53 23 37 23 27 23 16

Nov. 1 2 16 1 56 1 40 1 27 1 16 1 06 0 50 0 35 0 22 0 08 . . . . . . . . . . . . . . . .2 2 46 2 31 2 19 2 09 2 00 1 53 1 39 1 28 1 17 1 06 0 54 0 41 0 33 0 25

3 3 11 3 01 2 52 2 46 2 40 2 35 2 25 2 18 2 10 2 03 1 55 1 45 1 40 1 344 3 32 3 27 3 23 3 19 3 16 3 14 3 09 3 05 3 01 2 57 2 53 2 49 2 46 2 435 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 516 4 11 4 15 4 19 4 23 4 25 4 28 4 32 4 36 4 40 4 44 4 48 4 52 4 55 4 587 4 31 4 41 4 48 4 55 5 00 5 05 5 14 5 22 5 29 5 36 5 44 5 53 5 58 6 04

8 4 54 5 08 5 19 5 29 5 37 5 44 5 57 6 08 6 18 6 29 6 40 6 53 7 01 7 099 5 20 5 39 5 54 6 06 6 16 6 26 6 41 6 55 7 08 7 22 7 36 7 52 8 02 8 12

10 5 52 6 15 6 32 6 47 6 59 7 09 7 28 7 44 7 59 8 14 8 30 8 49 9 00 9 1211 6 32 6 57 7 16 7 31 7 45 7 56 8 16 8 33 8 49 9 06 9 23 9 43 9 55 10 0812 7 19 7 45 8 04 8 20 8 34 8 45 9 05 9 23 9 39 9 56 10 13 10 33 10 45 10 59

13 8 14 8 38 8 57 9 12 9 25 9 36 9 56 10 12 10 28 10 44 11 00 11 20 11 31 11 4414 9 15 9 36 9 53 10 07 10 19 10 29 10 46 11 01 11 16 11 30 11 45 12 02 12 12 12 2415 10 20 10 38 10 52 11 03 11 13 11 22 11 37 11 49 12 01 12 14 12 26 12 41 12 49 12 5916 11 28 11 41 11 52 12 01 12 08 12 15 12 27 12 37 12 46 12 56 13 06 13 17 13 24 13 3117 12 37 12 46 12 53 12 59 13 04 13 09 13 17 13 24 13 30 13 37 13 43 13 51 13 56 14 01

MOONSET


25 5 19 5 29 5 37 5 43 5 49 5 54 6 02 6 10 6 17 6 24 6 32 6 41 6 46 6 5126 5 42 5 57 6 08 6 18 6 26 6 33 6 46 6 57 7 08 7 18 7 29 7 42 7 49 7 5827 6 11 6 30 6 45 6 57 7 08 7 17 7 34 7 48 8 01 8 14 8 28 8 44 8 54 9 0528 6 47 7 10 7 28 7 43 7 56 8 06 8 25 8 42 8 57 9 12 9 28 9 47 9 58 10 11

29 7 35 8 00 8 20 8 36 8 49 9 01 9 21 9 39 9 55 10 11 10 29 10 49 11 00 11 1430 8 34 9 00 9 19 9 35 9 48 10 00 10 20 10 37 10 54 11 10 11 27 11 47 11 58 12 1131 9 45 10 08 10 25 10 40 10 52 11 03 11 21 11 37 11 52 12 07 12 22 12 40 12 50 13 02

Nov. 1 11 03 11 21 11 36 11 48 11 58 12 07 12 23 12 36 12 48 13 01 13 14 13 29 13 37 13 472 12 24 12 38 12 49 12 58 13 05 13 12 13 23 13 33 13 42 13 52 14 01 14 13 14 19 14 26

3 13 47 13 55 14 01 14 07 14 12 14 16 14 23 14 29 14 35 14 40 14 46 14 53 14 57 15 014 15 09 15 11 15 14 15 15 15 17 15 18 15 21 15 23 15 25 15 27 15 29 15 31 15 32 15 345 16 29 16 27 16 25 16 23 16 22 16 20 16 18 16 16 16 14 16 12 16 10 16 08 16 07 16 056 17 49 17 41 17 35 17 30 17 25 17 22 17 15 17 09 17 03 16 58 16 52 16 45 16 41 16 377 19 07 18 54 18 44 18 36 18 28 18 22 18 11 18 02 17 53 17 44 17 34 17 23 17 17 17 10

8 20 23 20 05 19 51 19 40 19 30 19 22 19 07 18 54 18 42 18 31 18 18 18 03 17 55 17 469 21 34 21 12 20 55 20 42 20 30 20 20 20 02 19 47 19 33 19 19 19 03 18 46 18 36 18 24

10 22 38 22 14 21 55 21 40 21 27 21 15 20 56 20 39 20 23 20 08 19 51 19 31 19 20 19 0711 23 34 23 08 22 49 22 33 22 19 22 08 21 47 21 30 21 14 20 57 20 40 20 19 20 08 19 5412 . . . . 23 55 23 36 23 21 23 08 22 56 22 36 22 19 22 03 21 47 21 30 21 10 20 58 20 45

13 0 20 . . . . . . . . . . . . 23 51 23 40 23 22 23 06 22 51 22 36 22 20 22 02 21 51 21 3814 0 57 0 35 0 17 0 03 . . . . . . . . . . . . 23 51 23 38 23 25 23 11 22 54 22 45 22 3415 1 27 1 08 0 53 0 41 0 30 0 21 0 05 . . . . . . . . . . . . . . . . 23 47 23 40 23 3116 1 51 1 36 1 24 1 14 1 06 0 58 0 45 0 34 0 23 0 12 0 01 . . . . . . . . . . . .17 2 11 2 01 1 52 1 45 1 39 1 33 1 24 1 15 1 07 0 59 0 51 0 41 0 35 0 29




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


25 18 01 17 58 17 55 17 52 17 48 17 44 17 40 17 35 17 30 17 24 17 17 17 09 17 01 16 5126 18 39 18 34 18 30 18 25 18 20 18 14 18 08 18 02 17 54 17 46 17 36 17 25 17 12 16 5727 19 21 19 16 19 11 19 05 18 58 18 51 18 44 18 35 18 25 18 15 18 02 17 48 17 30 17 0828 20 10 20 04 19 58 19 52 19 44 19 36 19 27 19 18 19 06 18 54 18 39 18 21 17 59 17 30

29 21 06 21 00 20 54 20 47 20 39 20 31 20 22 20 11 19 59 19 46 19 30 19 11 18 47 18 1430 22 09 22 03 21 57 21 50 21 43 21 35 21 26 21 16 21 05 20 52 20 37 20 19 19 57 19 2831 23 16 23 11 23 05 22 59 22 53 22 46 22 39 22 30 22 21 22 10 21 57 21 43 21 25 21 03

Nov. 1 . . . . . . . . . . . . . . . . . . . . . . . . 23 56 23 49 23 42 23 34 23 25 23 14 23 01 22 462 0 25 0 21 0 16 0 12 0 07 0 02 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3 1 34 1 31 1 28 1 25 1 22 1 18 1 15 1 10 1 05 1 00 0 54 0 47 0 39 0 294 2 43 2 42 2 40 2 39 2 37 2 35 2 33 2 31 2 29 2 26 2 23 2 20 2 16 2 115 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 51 3 516 4 58 4 59 5 01 5 02 5 04 5 06 5 08 5 10 5 13 5 15 5 18 5 22 5 26 5 307 6 04 6 07 6 10 6 13 6 16 6 20 6 24 6 28 6 33 6 38 6 44 6 51 6 59 7 08

8 7 09 7 13 7 17 7 22 7 27 7 32 7 37 7 44 7 51 7 59 8 08 8 18 8 31 8 469 8 12 8 17 8 22 8 28 8 34 8 41 8 48 8 56 9 06 9 16 9 28 9 42 9 59 10 21

10 9 12 9 18 9 24 9 31 9 38 9 45 9 54 10 04 10 15 10 27 10 42 10 59 11 21 11 4911 10 08 10 14 10 21 10 28 10 35 10 44 10 53 11 03 11 15 11 29 11 45 12 05 12 29 13 0312 10 59 11 05 11 11 11 18 11 26 11 34 11 44 11 54 12 06 12 20 12 36 12 55 13 20 13 54

13 11 44 11 49 11 56 12 02 12 09 12 17 12 26 12 36 12 47 13 00 13 14 13 32 13 54 14 2214 12 24 12 29 12 34 12 40 12 46 12 53 13 01 13 10 13 19 13 30 13 42 13 57 14 15 14 3715 12 59 13 03 13 08 13 13 13 18 13 24 13 30 13 37 13 45 13 54 14 04 14 15 14 29 14 4516 13 31 13 34 13 38 13 42 13 46 13 50 13 55 14 00 14 06 14 13 14 20 14 28 14 38 14 4917 14 01 14 03 14 05 14 08 14 11 14 14 14 17 14 20 14 24 14 28 14 33 14 39 14 45 14 52

MOONSET


25 6 51 6 54 6 57 7 00 7 03 7 06 7 10 7 14 7 19 7 24 7 30 7 36 7 44 7 5326 7 58 8 02 8 06 8 10 8 15 8 20 8 25 8 31 8 38 8 46 8 55 9 05 9 17 9 3227 9 05 9 10 9 15 9 20 9 26 9 33 9 40 9 49 9 58 10 08 10 20 10 34 10 51 11 1228 10 11 10 17 10 23 10 29 10 36 10 44 10 53 11 02 11 13 11 26 11 40 11 58 12 19 12 48

29 11 14 11 20 11 26 11 33 11 41 11 49 11 58 12 09 12 21 12 34 12 50 13 09 13 33 14 0630 12 11 12 17 12 23 12 30 12 38 12 46 12 55 13 05 13 16 13 29 13 44 14 03 14 25 14 5531 13 02 13 08 13 13 13 19 13 26 13 33 13 41 13 50 14 00 14 11 14 24 14 39 14 58 15 20

Nov. 1 13 47 13 51 13 56 14 01 14 06 14 12 14 18 14 25 14 33 14 42 14 52 15 04 15 17 15 332 14 26 14 29 14 33 14 36 14 40 14 44 14 49 14 54 15 00 15 06 15 13 15 21 15 30 15 41

3 15 01 15 03 15 05 15 07 15 10 15 12 15 15 15 18 15 21 15 25 15 29 15 34 15 39 15 454 15 34 15 34 15 35 15 36 15 37 15 37 15 38 15 39 15 40 15 42 15 43 15 44 15 46 15 485 16 05 16 05 16 04 16 03 16 02 16 02 16 01 16 00 15 59 15 57 15 56 15 54 15 53 15 506 16 37 16 35 16 33 16 31 16 29 16 26 16 23 16 20 16 17 16 13 16 09 16 05 15 59 15 537 17 10 17 07 17 04 17 00 16 56 16 52 16 48 16 43 16 37 16 31 16 24 16 16 16 07 15 57

8 17 46 17 41 17 37 17 32 17 27 17 21 17 15 17 08 17 00 16 52 16 42 16 31 16 18 16 029 18 24 18 19 18 14 18 08 18 02 17 54 17 47 17 38 17 29 17 18 17 05 16 51 16 33 16 11

10 19 07 19 01 18 55 18 49 18 41 18 33 18 24 18 15 18 04 17 51 17 36 17 18 16 56 16 2711 19 54 19 48 19 42 19 34 19 27 19 18 19 09 18 58 18 46 18 33 18 17 17 57 17 32 16 5812 20 45 20 39 20 32 20 25 20 18 20 09 20 00 19 50 19 38 19 24 19 08 18 49 18 24 17 51

13 21 38 21 33 21 27 21 20 21 13 21 06 20 57 20 47 20 37 20 24 20 10 19 52 19 31 19 0314 22 34 22 29 22 24 22 18 22 12 22 05 21 58 21 50 21 41 21 30 21 18 21 04 20 47 20 2615 23 31 23 27 23 23 23 18 23 13 23 08 23 02 22 55 22 48 22 40 22 31 22 20 22 07 21 5216 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 58 23 52 23 45 23 38 23 29 23 1917 0 29 0 26 0 23 0 19 0 16 0 12 0 08 0 03 . . . . . . . . . . . . . . . . . . . . . . . .




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mNov. 16 11 28 11 41 11 52 12 01 12 08 12 15 12 27 12 37 12 46 12 56 13 06 13 17 13 24 13 31

17 12 37 12 46 12 53 12 59 13 04 13 09 13 17 13 24 13 30 13 37 13 43 13 51 13 56 14 0118 13 48 13 52 13 56 13 59 14 01 14 03 14 07 14 11 14 14 14 17 14 21 14 24 14 27 14 2919 15 01 15 00 15 00 15 00 14 59 14 59 14 59 14 59 14 58 14 58 14 58 14 58 14 58 14 5720 16 16 16 11 16 06 16 03 16 00 15 57 15 52 15 48 15 44 15 41 15 37 15 32 15 30 15 27

21 17 34 17 24 17 15 17 08 17 02 16 57 16 48 16 40 16 33 16 25 16 18 16 09 16 04 15 5822 18 54 18 39 18 26 18 16 18 07 17 59 17 46 17 35 17 24 17 13 17 02 16 49 16 42 16 3423 20 15 19 54 19 38 19 25 19 14 19 04 18 47 18 32 18 19 18 05 17 51 17 35 17 25 17 1524 21 32 21 07 20 48 20 33 20 20 20 09 19 49 19 33 19 17 19 01 18 45 18 26 18 15 18 0225 22 40 22 14 21 54 21 38 21 24 21 12 20 51 20 34 20 17 20 01 19 43 19 23 19 11 18 57

26 23 36 23 11 22 52 22 36 22 23 22 11 21 51 21 34 21 18 21 01 20 44 20 24 20 13 19 5927 . . . . 23 58 23 41 23 27 23 15 23 05 22 47 22 32 22 17 22 02 21 47 21 29 21 18 21 0628 0 19 . . . . . . . . . . . . . . . . 23 53 23 38 23 26 23 14 23 02 22 49 22 34 22 26 22 1629 0 52 0 35 0 22 0 11 0 01 . . . . . . . . . . . . . . . . 23 59 23 49 23 39 23 33 23 2630 1 18 1 06 0 57 0 49 0 42 0 36 0 25 0 16 0 08 . . . . . . . . . . . . . . . . . . . .

Dec. 1 1 40 1 33 1 28 1 23 1 19 1 15 1 09 1 04 0 59 0 53 0 48 0 42 0 38 0 342 1 59 1 57 1 56 1 54 1 53 1 52 1 51 1 49 1 48 1 46 1 45 1 43 1 42 1 413 2 17 2 20 2 23 2 25 2 27 2 28 2 31 2 33 2 36 2 38 2 41 2 44 2 45 2 474 2 36 2 44 2 50 2 56 3 00 3 04 3 11 3 18 3 23 3 29 3 36 3 43 3 47 3 525 2 57 3 10 3 20 3 28 3 35 3 42 3 53 4 02 4 12 4 21 4 31 4 42 4 49 4 57

6 3 21 3 38 3 52 4 03 4 12 4 21 4 36 4 48 5 01 5 13 5 26 5 41 5 50 6 007 3 50 4 11 4 28 4 41 4 53 5 03 5 21 5 36 5 50 6 05 6 20 6 38 6 49 7 018 4 26 4 50 5 09 5 24 5 37 5 49 6 08 6 25 6 41 6 57 7 14 7 34 7 45 7 589 5 10 5 36 5 55 6 11 6 25 6 37 6 57 7 15 7 31 7 48 8 05 8 26 8 38 8 51

10 6 02 6 27 6 47 7 02 7 16 7 27 7 47 8 05 8 21 8 37 8 54 9 14 9 26 9 39

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mNov. 16 1 51 1 36 1 24 1 14 1 06 0 58 0 45 0 34 0 23 0 12 0 01 . . . . . . . . . . . .

17 2 11 2 01 1 52 1 45 1 39 1 33 1 24 1 15 1 07 0 59 0 51 0 41 0 35 0 2918 2 30 2 23 2 18 2 14 2 10 2 07 2 01 1 56 1 51 1 46 1 41 1 35 1 32 1 2819 2 47 2 45 2 43 2 42 2 41 2 40 2 38 2 37 2 35 2 34 2 32 2 30 2 29 2 2820 3 04 3 07 3 09 3 11 3 12 3 14 3 16 3 18 3 20 3 22 3 24 3 27 3 28 3 30

21 3 22 3 30 3 36 3 41 3 45 3 49 3 56 4 02 4 07 4 13 4 19 4 25 4 29 4 3422 3 44 3 56 4 06 4 14 4 21 4 27 4 38 4 48 4 57 5 06 5 15 5 26 5 33 5 4023 4 09 4 27 4 40 4 52 5 01 5 10 5 25 5 38 5 50 6 02 6 15 6 30 6 39 6 4924 4 43 5 04 5 22 5 36 5 47 5 58 6 16 6 32 6 46 7 01 7 17 7 35 7 45 7 5725 5 26 5 52 6 11 6 27 6 40 6 52 7 12 7 29 7 45 8 02 8 19 8 39 8 51 9 04

26 6 23 6 49 7 09 7 26 7 39 7 51 8 12 8 29 8 46 9 03 9 20 9 40 9 52 10 0627 7 32 7 56 8 15 8 31 8 43 8 55 9 14 9 31 9 46 10 02 10 18 10 37 10 48 11 0128 8 50 9 10 9 26 9 39 9 50 10 00 10 17 10 31 10 44 10 58 11 12 11 28 11 37 11 4829 10 11 10 27 10 39 10 49 10 58 11 05 11 18 11 29 11 40 11 50 12 01 12 14 12 21 12 2930 11 34 11 44 11 52 11 58 12 04 12 09 12 18 12 25 12 32 12 39 12 46 12 55 12 59 13 05

Dec. 1 12 55 12 59 13 03 13 06 13 09 13 11 13 15 13 19 13 22 13 25 13 29 13 33 13 35 13 372 14 14 14 14 14 13 14 13 14 13 14 12 14 12 14 11 14 11 14 10 14 10 14 09 14 09 14 083 15 33 15 27 15 22 15 18 15 15 15 12 15 07 15 03 14 59 14 54 14 50 14 45 14 42 14 394 16 50 16 39 16 30 16 23 16 17 16 12 16 02 15 54 15 46 15 39 15 31 15 21 15 16 15 105 18 05 17 50 17 37 17 27 17 18 17 10 16 57 16 46 16 35 16 24 16 13 16 00 15 52 15 44

6 19 18 18 58 18 42 18 29 18 18 18 09 17 52 17 38 17 24 17 11 16 57 16 41 16 31 16 207 20 25 20 02 19 44 19 29 19 16 19 05 18 46 18 30 18 15 17 59 17 43 17 24 17 13 17 018 21 25 21 00 20 40 20 24 20 11 19 59 19 39 19 21 19 05 18 49 18 31 18 11 18 00 17 469 22 16 21 50 21 31 21 15 21 01 20 49 20 29 20 12 19 55 19 39 19 21 19 01 18 49 18 35

10 22 57 22 33 22 15 22 00 21 47 21 36 21 17 21 00 20 44 20 29 20 12 19 52 19 41 19 28




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mNov. 16 13 31 13 34 13 38 13 42 13 46 13 50 13 55 14 00 14 06 14 13 14 20 14 28 14 38 14 49

17 14 01 14 03 14 05 14 08 14 11 14 14 14 17 14 20 14 24 14 28 14 33 14 39 14 45 14 5218 14 29 14 30 14 31 14 33 14 34 14 36 14 37 14 39 14 41 14 43 14 45 14 48 14 51 14 5419 14 57 14 57 14 57 14 57 14 57 14 57 14 57 14 57 14 57 14 57 14 57 14 56 14 56 14 5620 15 27 15 25 15 24 15 23 15 21 15 20 15 18 15 16 15 14 15 11 15 09 15 06 15 02 14 58

21 15 58 15 56 15 53 15 50 15 47 15 44 15 41 15 37 15 32 15 28 15 22 15 16 15 09 15 0122 16 34 16 30 16 26 16 22 16 17 16 12 16 07 16 01 15 55 15 47 15 39 15 30 15 19 15 0623 17 15 17 10 17 05 16 59 16 53 16 47 16 40 16 32 16 23 16 13 16 02 15 49 15 33 15 1424 18 02 17 56 17 50 17 44 17 37 17 29 17 21 17 11 17 00 16 48 16 34 16 17 15 56 15 3025 18 57 18 51 18 45 18 38 18 30 18 21 18 12 18 02 17 50 17 36 17 20 17 01 16 37 16 04

26 19 59 19 53 19 47 19 40 19 32 19 24 19 15 19 05 18 53 18 39 18 24 18 05 17 41 17 0827 21 06 21 01 20 55 20 49 20 42 20 35 20 27 20 18 20 07 19 56 19 42 19 26 19 06 18 4028 22 16 22 12 22 07 22 02 21 56 21 51 21 44 21 37 21 29 21 19 21 09 20 57 20 42 20 2429 23 26 23 22 23 19 23 15 23 12 23 07 23 03 22 58 22 52 22 46 22 38 22 30 22 21 22 0930 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 57 23 51

Dec. 1 0 34 0 32 0 30 0 28 0 26 0 24 0 21 0 18 0 15 0 11 0 07 0 03 . . . . . . . .2 1 41 1 41 1 40 1 40 1 39 1 39 1 38 1 37 1 36 1 35 1 34 1 33 1 32 1 303 2 47 2 48 2 49 2 50 2 51 2 52 2 53 2 55 2 56 2 58 3 00 3 02 3 05 3 084 3 52 3 54 3 57 3 59 4 02 4 05 4 08 4 11 4 15 4 20 4 24 4 30 4 36 4 445 4 57 5 00 5 04 5 07 5 12 5 16 5 21 5 27 5 33 5 40 5 48 5 57 6 07 6 20

6 6 00 6 04 6 09 6 14 6 20 6 26 6 32 6 40 6 48 6 58 7 09 7 21 7 37 7 557 7 01 7 06 7 12 7 18 7 25 7 32 7 40 7 49 8 00 8 11 8 25 8 42 9 02 9 278 7 58 8 04 8 11 8 17 8 25 8 33 8 42 8 53 9 04 9 18 9 34 9 53 10 17 10 499 8 51 8 57 9 04 9 11 9 19 9 28 9 37 9 48 10 00 10 14 10 30 10 50 11 16 11 51

10 9 39 9 45 9 51 9 58 10 06 10 14 10 23 10 34 10 45 10 59 11 14 11 33 11 57 12 28

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h mNov. 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 58 23 52 23 45 23 38 23 29 23 19

17 0 29 0 26 0 23 0 19 0 16 0 12 0 08 0 03 . . . . . . . . . . . . . . . . . . . . . . . .18 1 28 1 26 1 24 1 22 1 20 1 17 1 15 1 12 1 09 1 05 1 02 0 57 0 52 0 4619 2 28 2 27 2 27 2 26 2 25 2 25 2 24 2 23 2 22 2 21 2 20 2 18 2 17 2 1520 3 30 3 30 3 31 3 32 3 33 3 34 3 35 3 36 3 37 3 38 3 40 3 41 3 43 3 46

21 4 34 4 36 4 38 4 40 4 42 4 45 4 48 4 51 4 55 4 58 5 03 5 08 5 14 5 2022 5 40 5 43 5 47 5 51 5 55 5 59 6 04 6 09 6 15 6 21 6 29 6 37 6 47 6 5923 6 49 6 53 6 58 7 03 7 08 7 14 7 21 7 28 7 37 7 46 7 57 8 09 8 24 8 4224 7 57 8 03 8 09 8 15 8 22 8 29 8 37 8 47 8 57 9 09 9 23 9 39 9 59 10 2525 9 04 9 10 9 16 9 23 9 31 9 39 9 49 9 59 10 11 10 24 10 40 10 59 11 23 11 56

26 10 06 10 12 10 18 10 25 10 33 10 41 10 51 11 01 11 13 11 27 11 43 12 02 12 26 12 5927 11 01 11 06 11 12 11 19 11 26 11 33 11 42 11 51 12 02 12 14 12 28 12 45 13 05 13 3128 11 48 11 53 11 58 12 03 12 09 12 15 12 22 12 30 12 39 12 48 13 00 13 13 13 28 13 4629 12 29 12 32 12 36 12 40 12 45 12 50 12 55 13 01 13 07 13 14 13 22 13 31 13 42 13 5430 13 05 13 07 13 10 13 12 13 15 13 18 13 22 13 25 13 29 13 34 13 39 13 45 13 51 13 59

Dec. 1 13 37 13 38 13 40 13 41 13 42 13 44 13 45 13 47 13 49 13 51 13 53 13 56 13 58 14 022 14 08 14 08 14 08 14 08 14 07 14 07 14 07 14 07 14 06 14 06 14 05 14 05 14 04 14 043 14 39 14 37 14 36 14 34 14 32 14 30 14 28 14 26 14 24 14 21 14 18 14 14 14 10 14 064 15 10 15 08 15 05 15 02 14 58 14 55 14 51 14 47 14 42 14 37 14 31 14 25 14 17 14 085 15 44 15 40 15 36 15 32 15 27 15 22 15 16 15 10 15 03 14 56 14 47 14 37 14 26 14 12

6 16 20 16 16 16 10 16 05 15 59 15 52 15 45 15 37 15 29 15 19 15 07 14 54 14 38 14 197 17 01 16 55 16 49 16 43 16 36 16 28 16 20 16 10 16 00 15 48 15 34 15 17 14 57 14 308 17 46 17 40 17 34 17 27 17 19 17 10 17 01 16 51 16 39 16 25 16 09 15 50 15 26 14 539 18 35 18 29 18 23 18 15 18 08 17 59 17 50 17 39 17 27 17 13 16 56 16 36 16 11 15 35

10 19 28 19 22 19 16 19 09 19 02 18 54 18 45 18 34 18 23 18 10 17 54 17 36 17 12 16 41




MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h mDec. 9 5 10 5 36 5 55 6 11 6 25 6 37 6 57 7 15 7 31 7 48 8 05 8 26 8 38 8 51

10 6 02 6 27 6 47 7 02 7 16 7 27 7 47 8 05 8 21 8 37 8 54 9 14 9 26 9 3911 7 01 7 24 7 42 7 56 8 09 8 20 8 38 8 54 9 09 9 24 9 40 9 58 10 09 10 2112 8 05 8 24 8 40 8 52 9 03 9 12 9 29 9 43 9 56 10 09 10 23 10 39 10 48 10 5913 9 11 9 27 9 39 9 49 9 58 10 05 10 19 10 30 10 41 10 51 11 03 11 16 11 23 11 32

14 10 19 10 30 10 39 10 47 10 53 10 58 11 08 11 17 11 24 11 32 11 41 11 50 11 56 12 0215 11 28 11 35 11 40 11 45 11 48 11 52 11 58 12 03 12 07 12 12 12 17 12 23 12 26 12 3016 12 39 12 41 12 42 12 44 12 45 12 46 12 48 12 49 12 51 12 52 12 54 12 55 12 56 12 5817 13 51 13 49 13 46 13 44 13 43 13 41 13 39 13 37 13 35 13 33 13 31 13 28 13 27 13 2518 15 07 14 59 14 53 14 47 14 43 14 39 14 32 14 26 14 21 14 15 14 09 14 03 13 59 13 55

19 16 25 16 12 16 02 15 53 15 46 15 39 15 28 15 19 15 10 15 01 14 51 14 41 14 35 14 2820 17 46 17 27 17 13 17 01 16 51 16 43 16 28 16 15 16 02 15 50 15 38 15 23 15 15 15 0521 19 06 18 43 18 25 18 11 17 59 17 48 17 30 17 14 16 59 16 45 16 29 16 11 16 01 15 4922 20 21 19 55 19 35 19 19 19 06 18 54 18 34 18 16 18 00 17 43 17 26 17 06 16 55 16 4123 21 25 20 59 20 39 20 23 20 09 19 57 19 37 19 19 19 02 18 46 18 28 18 08 17 56 17 42

24 22 16 21 53 21 34 21 19 21 07 20 56 20 37 20 20 20 05 19 49 19 33 19 13 19 02 18 5025 22 54 22 35 22 20 22 08 21 57 21 48 21 32 21 18 21 05 20 52 20 38 20 21 20 12 20 0126 23 24 23 10 22 59 22 50 22 42 22 35 22 23 22 12 22 02 21 52 21 41 21 29 21 22 21 1427 23 47 23 39 23 32 23 26 23 21 23 16 23 09 23 02 22 55 22 49 22 42 22 34 22 30 22 2428 . . . . . . . . . . . . 23 58 23 56 23 54 23 51 23 48 23 46 23 43 23 40 23 37 23 35 23 33

29 0 07 0 04 0 01 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 37 0 38 0 39 0 4031 0 44 0 50 0 55 0 59 1 03 1 06 1 12 1 17 1 22 1 27 1 32 1 38 1 41 1 4532 1 04 1 15 1 23 1 31 1 37 1 43 1 52 2 01 2 09 2 17 2 26 2 36 2 42 2 4933 1 26 1 41 1 54 2 04 2 13 2 21 2 34 2 46 2 57 3 08 3 20 3 34 3 42 3 51

MOONSET


10 22 57 22 33 22 15 22 00 21 47 21 36 21 17 21 00 20 44 20 29 20 12 19 52 19 41 19 2811 23 29 23 09 22 53 22 39 22 28 22 18 22 01 21 46 21 32 21 18 21 02 20 45 20 35 20 2312 23 56 23 39 23 26 23 14 23 05 22 57 22 42 22 30 22 18 22 06 21 53 21 38 21 29 21 2013 . . . . . . . . 23 54 23 46 23 39 23 32 23 21 23 11 23 02 22 53 22 43 22 31 22 24 22 17

14 0 17 0 05 . . . . . . . . . . . . . . . . 23 58 23 51 23 45 23 39 23 32 23 24 23 20 23 1415 0 36 0 27 0 21 0 15 0 10 0 06 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16 0 53 0 49 0 45 0 43 0 40 0 38 0 34 0 31 0 28 0 25 0 22 0 18 0 15 0 1317 1 09 1 10 1 10 1 10 1 10 1 11 1 11 1 11 1 11 1 12 1 12 1 12 1 12 1 1318 1 26 1 31 1 35 1 39 1 42 1 44 1 49 1 53 1 56 2 00 2 04 2 09 2 11 2 14

19 1 45 1 55 2 03 2 09 2 15 2 20 2 29 2 36 2 44 2 51 2 59 3 07 3 13 3 1820 2 08 2 23 2 34 2 44 2 52 3 00 3 13 3 24 3 34 3 45 3 56 4 09 4 17 4 2521 2 37 2 56 3 12 3 24 3 35 3 45 4 01 4 16 4 29 4 43 4 57 5 14 5 23 5 3422 3 15 3 39 3 57 4 12 4 25 4 36 4 55 5 12 5 28 5 43 6 00 6 19 6 31 6 4423 4 06 4 32 4 52 5 09 5 22 5 34 5 55 6 13 6 29 6 46 7 04 7 24 7 36 7 50

24 5 11 5 37 5 57 6 13 6 27 6 38 6 58 7 16 7 32 7 48 8 06 8 25 8 37 8 5025 6 29 6 51 7 09 7 23 7 35 7 46 8 04 8 19 8 34 8 48 9 03 9 21 9 31 9 4326 7 53 8 10 8 24 8 35 8 45 8 54 9 08 9 21 9 32 9 44 9 56 10 10 10 19 10 2827 9 18 9 30 9 40 9 47 9 54 10 00 10 10 10 19 10 28 10 36 10 45 10 54 11 00 11 0628 10 41 10 48 10 53 10 58 11 01 11 05 11 10 11 15 11 20 11 24 11 29 11 34 11 37 11 41

29 12 03 12 04 12 05 12 05 12 06 12 07 12 08 12 08 12 09 12 10 12 11 12 11 12 12 12 1230 13 21 13 17 13 14 13 11 13 09 13 07 13 03 13 00 12 57 12 54 12 51 12 47 12 45 12 4331 14 38 14 29 14 22 14 16 14 10 14 06 13 58 13 51 13 44 13 38 13 31 13 23 13 19 13 1432 15 53 15 39 15 28 15 19 15 11 15 04 14 52 14 42 14 32 14 22 14 12 14 00 13 53 13 4633 17 06 16 47 16 33 16 21 16 11 16 02 15 46 15 33 15 20 15 08 14 55 14 39 14 31 14 21




MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦


10 9 39 9 45 9 51 9 58 10 06 10 14 10 23 10 34 10 45 10 59 11 14 11 33 11 57 12 2811 10 21 10 27 10 33 10 39 10 46 10 53 11 01 11 11 11 21 11 33 11 46 12 03 12 22 12 4712 10 59 11 03 11 08 11 14 11 19 11 26 11 33 11 41 11 49 11 59 12 10 12 23 12 38 12 5713 11 32 11 35 11 39 11 44 11 48 11 53 11 59 12 05 12 12 12 19 12 28 12 38 12 49 13 03

14 12 02 12 05 12 07 12 11 12 14 12 18 12 22 12 26 12 31 12 36 12 42 12 49 12 57 13 0615 12 30 12 32 12 33 12 35 12 37 12 40 12 42 12 44 12 47 12 50 12 54 12 58 13 03 13 0816 12 58 12 58 12 59 12 59 13 00 13 00 13 01 13 02 13 03 13 04 13 05 13 06 13 08 13 0917 13 25 13 25 13 24 13 23 13 23 13 22 13 21 13 20 13 19 13 17 13 16 13 15 13 13 13 1118 13 55 13 53 13 51 13 49 13 47 13 44 13 42 13 39 13 36 13 32 13 28 13 24 13 19 13 13

19 14 28 14 25 14 21 14 18 14 14 14 10 14 06 14 01 13 55 13 49 13 43 13 35 13 26 13 1620 15 05 15 01 14 56 14 52 14 46 14 41 14 34 14 28 14 20 14 11 14 02 13 50 13 37 13 2221 15 49 15 44 15 38 15 32 15 26 15 19 15 11 15 02 14 52 14 41 14 28 14 13 13 55 13 3322 16 41 16 35 16 29 16 22 16 15 16 06 15 57 15 47 15 36 15 23 15 07 14 49 14 26 13 5623 17 42 17 36 17 29 17 22 17 14 17 06 16 56 16 46 16 34 16 20 16 04 15 44 15 19 14 45

24 18 50 18 44 18 38 18 31 18 24 18 16 18 07 17 57 17 46 17 33 17 19 17 01 16 38 16 0925 20 01 19 56 19 51 19 46 19 40 19 33 19 26 19 18 19 08 18 58 18 46 18 32 18 15 17 5426 21 14 21 10 21 06 21 02 20 57 20 52 20 47 20 41 20 35 20 27 20 19 20 09 19 57 19 4427 22 24 22 22 22 20 22 17 22 14 22 11 22 08 22 04 22 00 21 56 21 51 21 45 21 38 21 3028 23 33 23 32 23 31 23 30 23 29 23 28 23 27 23 25 23 24 23 22 23 20 23 18 23 15 23 12

29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30 0 40 0 40 0 41 0 41 0 42 0 43 0 43 0 44 0 45 0 45 0 46 0 48 0 49 0 5031 1 45 1 47 1 49 1 51 1 53 1 55 1 58 2 00 2 04 2 07 2 11 2 15 2 20 2 2632 2 49 2 52 2 55 2 58 3 02 3 06 3 10 3 15 3 21 3 27 3 34 3 41 3 51 4 0133 3 51 3 55 4 00 4 05 4 10 4 15 4 21 4 28 4 36 4 44 4 54 5 06 5 19 5 36

MOONSET


10 19 28 19 22 19 16 19 09 19 02 18 54 18 45 18 34 18 23 18 10 17 54 17 36 17 12 16 4111 20 23 20 18 20 12 20 06 20 00 19 52 19 44 19 35 19 25 19 14 19 01 18 45 18 26 18 0112 21 20 21 15 21 10 21 05 21 00 20 54 20 47 20 40 20 32 20 23 20 12 19 59 19 45 19 2713 22 17 22 13 22 10 22 06 22 02 21 57 21 52 21 46 21 40 21 33 21 25 21 16 21 06 20 53

14 23 14 23 12 23 10 23 07 23 04 23 01 22 58 22 54 22 50 22 45 22 40 22 34 22 27 22 2015 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 59 23 56 23 53 23 50 23 4616 0 13 0 12 0 10 0 09 0 08 0 06 0 05 0 03 0 01 . . . . . . . . . . . . . . . . . . . .17 1 13 1 13 1 13 1 13 1 13 1 13 1 13 1 13 1 13 1 13 1 13 1 14 1 14 1 1418 2 14 2 15 2 17 2 18 2 20 2 22 2 24 2 26 2 28 2 31 2 33 2 37 2 41 2 45

19 3 18 3 21 3 24 3 27 3 30 3 33 3 37 3 41 3 46 3 51 3 57 4 03 4 11 4 2020 4 25 4 29 4 33 4 38 4 42 4 47 4 53 4 59 5 06 5 14 5 23 5 34 5 46 6 0121 5 34 5 39 5 45 5 50 5 56 6 03 6 11 6 19 6 28 6 39 6 51 7 06 7 23 7 4522 6 44 6 49 6 55 7 02 7 09 7 18 7 26 7 36 7 48 8 00 8 16 8 34 8 56 9 2623 7 50 7 56 8 03 8 10 8 17 8 26 8 35 8 46 8 58 9 12 9 28 9 48 10 13 10 47

24 8 50 8 56 9 02 9 09 9 17 9 25 9 34 9 44 9 55 10 08 10 23 10 42 11 04 11 3425 9 43 9 48 9 53 9 59 10 06 10 13 10 20 10 29 10 39 10 49 11 02 11 17 11 34 11 5626 10 28 10 32 10 36 10 41 10 46 10 51 10 57 11 04 11 11 11 19 11 28 11 39 11 52 12 0627 11 06 11 09 11 12 11 16 11 19 11 23 11 27 11 31 11 36 11 42 11 48 11 55 12 03 12 1228 11 41 11 42 11 44 11 46 11 48 11 50 11 52 11 54 11 57 12 00 12 03 12 06 12 10 12 15

29 12 12 12 13 12 13 12 13 12 13 12 14 12 14 12 14 12 15 12 15 12 16 12 16 12 17 12 1730 12 43 12 42 12 41 12 40 12 38 12 37 12 35 12 34 12 32 12 30 12 28 12 25 12 23 12 1931 13 14 13 11 13 09 13 06 13 04 13 01 12 57 12 54 12 50 12 45 12 41 12 35 12 29 12 2132 13 46 13 42 13 39 13 35 13 31 13 26 13 21 13 16 13 10 13 03 12 55 12 46 12 36 12 2533 14 21 14 16 14 11 14 06 14 01 13 55 13 48 13 41 13 33 13 24 13 13 13 01 12 47 12 30



64 ECLIPSES, 2018CONTENTS OF THE ECLIPSE SECTION

Explanatory TextSolar Eclipses ....................................................................................................... 65Lunar Eclipses ...................................................................................................... 68

January 31: Total Lunar Eclipse ................................................................................ 70February 15: Partial Solar EclipseCircumstances and Besselian elements................................................................. 71Eclipse Map.......................................................................................................... 72

July 13: Partial Solar EclipseCircumstances and Besselian elements................................................................. 73Eclipse Map.......................................................................................................... 74

July 27: Total Lunar Eclipse...................................................................................... 75August 11: Partial Solar EclipseCircumstances and Besselian elements................................................................. 76Eclipse Map.......................................................................................................... 77

SUMMARY OF ECLIPSES AND TRANSITS FOR 2018

There are five eclipses, three of the Sun and two of the Moon. All times are expressedin Universal Time using �T D +69s.0. There are no transits of Mercury or Venus acrossthe Sun.

I. A total eclipse of the Moon, January 31. See map on page 70. The eclipse beginsat 10h 50m and ends at 16h 10m; the total phase begins at 12h 51m and ends at 14h 08m.It is visible from western South America, North America, Asia, Australia, the MiddleEast, eastern Africa, eastern Europe, the Pacific Ocean, and the Indian Ocean.

II. A partial eclipse of the Sun, February 15. See map on page 72. The eclipse beginsat 18h 56m and ends at 22h 47m. It is visible from southern South America, Antarctica,the south Pacific Ocean, and the south Atlantic Ocean.

III. A partial eclipse of the Sun, July 13. See map on page 74. The eclipse beginsat 01h 48m and ends at 04h 14m. It is visible from extreme southern Australia, the southPacific Ocean, and the south Indian Ocean.

IV. A total eclipse of the Moon, July 27. See map on page 75. The eclipse begins at17h 13m and ends at 23h 30m; the total phase begins at 19h 30m and ends at 21h 14m.It is visible from Australia, Antarctica, Asia, Africa, the Middle East, Europe, SouthAmerica, the south Pacific Ocean, the Indian Ocean, and the Atlantic Ocean.

V. A partial eclipse of the Sun, August 11. See map on page 77. The eclipse beginsat 08h 02m and ends at 11h 31m. It is visible from extreme north North America, northernEurope, Asia, and the north Atlantic Ocean.

Local circumstances and animations for upcoming eclipses can be found on The As-tronomical Almanac Online at http://asa.hmnao.com or http://asa.usno.navy.mil.

ECLIPSES 65

Local circumstances and animations for upcoming eclipses can be found on The As-

tronomical Almanac Online at http://asa.hmnao.com or http://asa.usno.navy.mil.

General Information

The elements and circumstances are computed according to Bessel's method from

apparent right ascensions and declinations of the Sun and Moon. Semidiameters of the

Sun and Moon used in the calculation of eclipses do not include irradiation. The adopted

semidiameter of the Sun at unit distance is 150 5900.64 from the IAU (1976) Astronomical

Constants. The apparent semidiameter of the Moon is equal to arcsin (k sin � ), where �

is the Moon's horizontal parallax and k is an adopted constant. In 1982, the IAU adopted

k = 0.272 5076, corresponding to the mean radius of Watts' datum as determined by

observations of occultations and to the adopted radius of the Earth.

Standard corrections of C000.5 and �000.25 have been applied to the longitude and

latitude of the Moon, respectively, to help correct for the difference between the center of

figure and the center of mass.

Refraction is neglected in calculating solar and lunar eclipses. Because the circum-

stances of eclipses are calculated for the surface of the ellipsoid, refraction is not included

in Besselian element polynomials. For local predictions, corrections for refraction are

unnecessary; they are required only in precise comparisons of theory with observation in

which many other refinements are also necessary.

All time arguments are given provisionally in Universal Time, using�T.A/ D C69s.0.

Once an updated value of �T is known, the data on these pages may be expressed in

Universal Time as follows:

Define ıT D �T��T.A/, in units of seconds of time.

Change the times of circumstances given in preliminary Universal Time by subtract-

ing ıT .

Correct the tabulated longitudes, �.A/, using � D �.A/C 0.00417807�ıT (longi-

tudes are in degrees).

Leave all other quantities unchanged.

The correction of ıT is included in the Besselian elements.

Longitude is positive to the east, and negative to the west.

Explanation of Solar Eclipse Diagram

The solar eclipse diagrams in The Astronomical Almanac show the region over which

different phases of each eclipse may be seen and the times at which these phases occur.

Each diagram has a series of dashed curves that show the outline of the Moon's penumbra

on the Earth's surface at one-hour intervals. Short dashes show the leading edge and long

dashes show the trailing edge. Except for certain extreme cases, the shadow outline moves

generally from west to east. The Moon's shadow cone first contacts the Earth's surface

where \First Contact" is indicated on the diagram. \Last Contact" is where the Moon's

shadow cone last contacts the Earth's surface. The path of the central eclipse, whether

for a total, annular, or annular-total eclipse, is marked by two closely spaced curves that

cut across all of the dashed curves. These two curves mark the extent of the Moon's

umbral shadow on the Earth's surface. Viewers within these boundaries will observe a

total, annular, or annular-total eclipse, and viewers outside these boundaries will see a

partial eclipse.

Solid curves labeled \Northern" and \Southern Limit of Eclipse" represent the furthest

extent north or south of the Moon's penumbra on the Earth's surface. Viewers outside of

66 ECLIPSES

these boundaries will not experience any eclipse. When only one of these two curves

appears, only part of the Moon's penumbra touches the Earth; the other part is projected

into space north or south of the Earth, and the terminator defines the other limit.

Another set of solid curves appears on some diagrams as two teardrop shapes (or

lobes) on either end of the eclipse path, and on other diagrams as a distorted figure

eight. These lobes represent in time the intersection of the Moon's penumbra with the

Earth's terminator as the eclipse progresses. As time elapses, the Earth's terminator

moves east-to-west while the Moon's penumbra moves west-to-east. These lobes connect

to form an elongated figure eight on a diagram when part of the Moon's penumbra stays in

contact with the Earth's terminator throughout the eclipse. The lobes become two separate

teardrop shapes when the Moon's penumbra breaks contact with the Earth's terminator

during the beginning of the eclipse and reconnects with it near the end. In the east, the

outer portion of the lobe is labeled \Eclipse begins at Sunset" and marks the first contact

between the Moon's penumbra and Earth's terminator in the east. Observers on this curve

just fail to see the eclipse. The inner part of the lobe is labeled \Eclipse ends at Sunset"

and marks the last contact between the Moon's penumbra and the Earth's terminator in

the east. Observers on this curve just see the whole eclipse. The curve bisecting this lobe

is labeled \Maximum Eclipse at Sunset" and is part of the sunset terminator at maximum

eclipse. Viewers in the eastern half of the lobe will see the Sun set before maximum

eclipse; i.e. see less than half of the eclipse. Viewers in the western half of the lobe

will see the Sun set after maximum eclipse; i.e. see more than half of the eclipse. A

similar description holds for the western lobe except everything occurs at sunrise instead

of sunset.

Computing Local Circumstances for Solar Eclipses

The solar eclipse maps show the path of the eclipse, beginning and ending times of

the eclipse, and the region of visibility, including restrictions due to rising and setting

of the Sun. The short-dash and long-dash lines show, respectively, the progress of the

leading and trailing edge of the penumbra; thus, at a given location, the times of the first

and last contact may be interpolated. If further precision is desired, Besselian elements

can be utilized.

Besselian elements characterize the geometric position of the shadow of the Moon

relative to the Earth. The exterior tangents to the surfaces of the Sun and Moon form

the umbral cone; the interior tangents form the penumbral cone. The common axis of

these two cones is the axis of the shadow. To form a system of geocentric rectangular

coordinates, the geocentric plane perpendicular to the axis of the shadow is taken as the

xy-plane. This is called the fundamental plane. The x-axis is the intersection of the

fundamental plane with the plane of the equator; it is positive toward the east. The y-axis

is positive toward the north. The z-axis is parallel to the axis of the shadow and is

positive toward the Moon. The tabular values of x and y are the coordinates, in units

of the Earth's equatorial radius, of the intersection of the axis of the shadow with the

fundamental plane. The direction of the axis of the shadow is specified by the declination

d and hour angle � of the point on the celestial sphere toward which the axis is directed.

The radius of the umbral cone is regarded as positive for an annular eclipse and

negative for a total eclipse. The angles f1 and f2 are the angles at which the tangents

that form the penumbral and umbral cones, respectively, intersect the axis of the shadow.

To predict accurate local circumstances, calculate the geocentric coordinates � sin�0

and � cos�0 from the geodetic latitude � and longitude �, using the relationships given

on pages K11{K12 of The Astronomical Almanac. Inclusion of the height h in this

calculation is all that is necessary to obtain the local circumstances at high altitudes.

ECLIPSES 67

Obtain approximate times for the beginning, middle and end of the eclipse from

the eclipse map. For each of these three times compute | from the Besselian element

polynomials | the values of x, y, sin d , cos d , � and l1 (the radius of the penumbra on

the fundamental plane). If the eclipse is central (i.e., total, annular or annular-total), then,

at the approximate time of the middle of the eclipse, l2 (the radius of the umbra on the

fundamental plane) is required instead of l1. The hourly variations x0, y0 of x and y are

needed, and may be obtained by evaluating the derivative of the polynomial expressions

for x and y. Values of �0, d 0, tan f1 and tan f2 are nearly constant throughout the eclipse

and are given immediately following the Besselian polynomials.

For each of the three approximate times, calculate the coordinates � , �, � for the

observer and the hourly variations �0 and �0 from

� D � cos �0sin �;

� D � sin�0cos d � � cos �0

sin d cos �;

� D � sin�0sin d C � cos �0

cos d cos �;

� 0D �0� cos�0

cos �;

�0D �0� sin d � �d 0;

where

� D �C �

for longitudes measured positive towards the east.

Next, calculate

u D x � �

v D y � �

m2D u2

C v2

u0D x0

� � 0

v0D y0

� �0

n2D u02

C v02 .m; n > 0/

Li D li � � tanfi

D D uu0C vv0

� D1

n.uv0

� u0v/

sin D�

Li;

where i = 1, 2.

At the approximate times of the beginning and end of the eclipse, L1 is required. At

the approximate time of the middle of the eclipse, L2 is required if the eclipse is central;

L1 is required if the eclipse is partial.

Neglecting the variation of L, the correction � to be applied to the approximate time

of the middle of the eclipse to obtain the Universal Time of greatest phase (in hours) is

� D �D

n2;

which may be expressed in minutes by multiplying by 60. The correction � to be applied

to the approximate times of the beginning and end of the eclipse to obtain the Universal

Times of the penumbral contacts (in hours) is

� DL1

ncos �

D

n2;

which may be expressed in minutes by multiplying by 60.

68 ECLIPSES

If the eclipse is central, use the approximate time for the middle of the eclipse as

a first approximation to the times of umbral contact. The correction � to be applied to

obtain the Universal Times of the umbral contacts is

� DL2

ncos �

D

n2;

which may be expressed in minutes by multiplying by 60.

In the last two equations, the ambiguity in the quadrant of is removed by noting

that cos must be negative for the beginning of the eclipse, for the beginning of the

annular phase, or for the end of the total phase; cos must be positive for the end of the

eclipse, the end of the annular phase, or the beginning of the total phase.

For greater accuracy, the times resulting from the calculation outlined above should

be used in place of the original approximate times, and the entire procedure repeated at

least once. The calculations for each of the contact times and the time of greatest phase

should be performed separately.

The magnitude of greatest partial eclipse, in units of the solar diameter is

M1 DL1 �m

.2L1 � 0:5459/;

where the value of m at the time of greatest phase is used. If the magnitude is negative

at the time of greatest phase, no eclipse is visible from the location.

The magnitude of the central phase, in the same units is

M2 DL1 �L2

.L1 C L2/:

The position angle of a point of contact measured eastward (counterclockwise) from

the north point of the solar limb is given by

tanP Du

v;

where u and v are evaluated at the times of contacts computed in the final approximation.

The quadrant of P is determined by noting that sinP has the algebraic sign of u, except

for the contacts of the total phase, for which sinP has the opposite sign to u.

The position angle of the point of contact measured eastward from the vertex of the

solar limb is given by

V D P � C;

where C , the parallactic angle, is obtained with sufficient accuracy from

tanC D�

�;

with sinC having the same algebraic sign as � , and the results of the final approximation

again being used. The vertex point of the solar limb lies on a great circle arc drawn from

the zenith to the center of the solar disk.

Lunar Eclipses

A calculator to produce local circumstances of recent and upcoming lunar eclipses is

provided at http://aa.usno.navy.mil/data/docs/LunarEclipse.php

ECLIPSES 69

In calculating lunar eclipses, the radius of the geocentric shadow of the Earth is

increased by one-fiftieth part to allow for the effect of the atmosphere. Refraction is

neglected in calculating solar and lunar eclipses. Standard corrections of C000.5 and

�000.25 have been applied to the longitude and latitude of the Moon, respectively, to help

correct for the difference between the center of figure and the center of mass.

Explanation of Lunar Eclipse Diagram

Information on lunar eclipses is presented in the form of a diagram consisting of two

parts. The upper panel shows the path of the Moon relative to the penumbral and umbral

shadows of the Earth. The lower panel shows the visibility of the eclipse from the surface

of the Earth. The title of the upper panel includes the type of eclipse, its place in the

sequence of eclipses for the year and the Greenwich calendar date of the eclipse. The

inner darker circle is the umbral shadow of the Earth and the outer lighter circle is that

of the penumbra. The axis of the shadow of the Earth is denoted by (C) with the ecliptic

shown for reference purposes. A 30-arcminute scale bar is provided on the right hand

side of the diagram and the orientation is given by the cardinal points displayed on the

small graphic on the left hand side of the diagram. The position angle (PA) is measured

from North point of the lunar disk along the limb of the Moon to the point of contact. It

is shown on the graphic by the use of an arc extending anti-clockwise (eastwards) from

North terminated with an arrow head.

Moon symbols are plotted at the principal phases of the eclipse to show its position

relative to the umbral and penumbral shadows. The UT times of the different phases of the

eclipse to the nearest tenth of a minute are printed above or below the Moon symbols as

appropriate. P1 and P4 are the first and last external contacts of the penumbra respectively

and denote the beginning and end of the penumbral eclipse respectively. U1 and U4 are

the first and last external contacts of the umbra denoting the beginning and end of the

partial phase of the eclipse respectively. U2 and U3 are the first and last internal contacts

of the umbra and denote the beginning and end of the total phase respectively. MID is the

middle of the eclipse. The position angle is given for P1 and P4 for penumbral eclipses

and U1 and U4 for partial and total eclipses. The UT time of the geocentric opposition

in right ascension of the Sun and Moon and the magnitude of the eclipse are given above

or below the Moon symbols as appropriate.

The lower panel is a cylindrical equidistant map projection showing the Earth centered

on the longitude at which the Moon is in the zenith at the middle of the eclipse. The

visibility of the eclipse is displayed by plotting the Moon rise/set terminator for the

principal phases of the eclipse for which timing information is provided in the upper

panel. The terminator for the middle of the eclipse is not plotted for the sake of clarity.

The unshaded area indicates the region of the Earth from which all the eclipse is

visible whereas the darkest shading indicates the area from which the eclipse is invisible.

The different shades of gray indicate regions where the Moon is either rising or setting

during the principal phases of the eclipse. The Moon is rising on the left hand side of the

diagram after the eclipse has started and is setting on the right hand side of the diagram

before the eclipse ends. Labels are provided to this effect.

Symbols are plotted showing the locations for which the Moon is in the zenith at the

principal phases of the eclipse. The points at which the Moon is in the zenith at P1 and

P4 are denoted by (C), at U1 and U4 by (ˇ) and at U2 and U3 by (˚). These symbols

are also plotted on the upper panel where appropriate. The value of �T used for the

calculation of the eclipse circumstances is given below the diagram. Country boundaries

are also provided to assist the user in determining the visibility of the eclipse at a particular

location.

ECLIPSES, 201870

P

P

E

E

N

N

U

U

M

M

B

B

R

R

A

A

U

U

M

M

B

B

R

R

A

A

Ecliptic

Ecliptic

S

N

WEP.A.

I. - Total Eclipse of the Moon 2018 January 31

Umbral magnitude of the eclipse: 1.321UT of geocentric opposition in RA: January 31 13 35 36 735.d h m s

10 49 . 8h mP1

11 48 . 1h m

P.A. 83.2o

U1

12 51 . 4h mU2

13 29 . 9h mMID

14 08 . 3h mU3

15 11 . 6h m

P.A. 297.6o

U416 10 . 0h m

P4

30 arc-minutes

0o

0o

30 Eo

30 Eo

60 Eo

60 Eo

90 Eo

90 Eo

120 Eo

120 Eo

150 Eo

150 Eo

180o

180o

150 Wo

150 Wo

120 Wo

120 Wo

90 Wo

90 Wo

60 Wo

60 Wo

30 Wo

30 Wo

80 So 80 So

60 So 60 So

40 So 40 So

20 So 20 So

0o 0o

20 No 20 No

40 No 40 No

60 No 60 No

80 No 80 No

P1

P1

U1

U1

U2U2

Moon rising during eclipse Full eclipse visible

No eclipse visibleNo eclipse visible

Moon setting during eclipse

U3U3

U4

U4

P4

P4

Areas of visibility of the eclipse at different stagesC HM Nautical Almanac Office T = +69.0s∆

HA371/009/007/-01: Astronomical Phenomena, 2018 TEX aph_lunars_18 20150707 PLEASE REMOVE

ECLIPSES, 2018 71

II. −Partial Eclipse of the Sun, 2018 February 15

CIRCUMSTANCES OF THE ECLIPSE

Universal Time of geocentric conjunction in right ascension, February 15d 20h 15m 8s.042Julian Date = 2458165.3438430722

UT Longitude Latituded h m ° 0 ° 0

Eclipse begins February 15 18 55.8 +144 26.9 −62 26.1Greatest eclipse 15 20 51.4 + 00 52.0 −71 05.6Eclipse ends 15 22 47.2 − 59 15.6 −35 23.4

Magnitude of greatest eclipse: 0.5993

BESSELIAN ELEMENTS

Let t = (UT−19h ) + ıT / 3600 in units of hours.These equations are valid over the range −0h.125 ≤ t ≤ 3h.958. Do not use t outside the

given range, and do not omit any terms in the series.

Intersection of the axis of shadow with the fundamental plane:x = −0.62495856 + 0.49906684 t+ 0.00001394 t2 − 0.00000592 t3y = −1.41124656 + 0.12781460 t+ 0.00013524 t2 − 0.00000143 t3

Direction of the axis of shadow:sin d = −0.21630200 + 0.00024000 tcos d = +0.97632647 + 0.00005316 t− 0.00000004 t2

� = 101°.47635086+15.00181263 t+ 0.00000253 t2− 0.00000002 t3− 0.00417807 ıT

Radius of the shadow on the fundamental plane:penumbra .l1/ = +0.56842204 − 0.00005157 t − 0.00001027 t2umbra .l2/ = +0.02192646 − 0.00005128 t − 0.00001022 t2

Other important quantities:tan f1 = +0.004734

�0 = +0.261831 radians per hourd 0 = +0.000246 radians per hour

All time arguments are given provisionally in Universal Time, using �T(A) = 69s.0.

ECLIPSES, 2018 73

III. −Partial Eclipse of the Sun, 2018 July 13


Universal Time of geocentric conjunction in right ascension, July 13d 3h 9m 4s.282Julian Date = 2458312.6312995548


Eclipse begins July 13 1 48.4 + 96 24.3 −52 56.3Greatest eclipse 13 3 01.1 +127 28.2 −67 55.6Eclipse ends 13 4 13.8 +168 19.8 −57 52.3


BESSELIAN ELEMENTS

Let t = (UT−1h ) + ıT / 3600 in units of hours.These equations are valid over the range 0h.708 ≤ t ≤ 3h.400. Do not use t outside the


Intersection of the axis of shadow with the fundamental plane:x = −1.25367341 + 0.58270375 t + 0.00005742 t2 − 0.00000989 t3y = −1.28512714 − 0.03298282 t − 0.00007966 t2 + 0.00000045 t3

Direction of the axis of shadow:sin d = +0.37229271 − 0.00009649 t + 0.00000021 t2 − 0.00000004 t3cos d = +0.92811548 + 0.00003856 t − 0.00000003 t2 + 0.00000001 t3

� = 193°.56951584+15.00023685 t + 0.00000113 t2+ 0.00000010 t3− 0.00417807 ıT

Radius of the shadow on the fundamental plane:penumbra .l1/ = + 0.53016384 + 0.00003859 t − 0.00001264 t2− 0.00000003 t3umbra .l2/ = −0.01614033 + 0.00003750 t − 0.00001211 t2− 0.00000010 t3


�0 = +0.261804 radians per hourd 0 = −0.000104 radians per hour


ECLIPSES, 2018 75

P

P

E

E

N

N

U

U

M

M

B

B

R

R

A

A

U

U

M

M

B

B

R

R

A

A

Ecliptic

Ecliptic

S

N

WEP.A.

IV. - Total Eclipse of the Moon 2018 July 27Umbral magnitude of the eclipse: 1.613UT of geocentric opposition in RA: July 27 20 23 44 158.d h m s

17 13 . 1h mP1

18 24 . 2h m

P.A. 88.6o

U119 30 . 0h m

U220 21 . 7h m

MID21 13 . 5h m

U322 19 . 3h m

P.A. 255.1o

U423 30 . 4h m

P4

30 arc-minutes

120 Wo

120 Wo

90 Wo

90 Wo

60 Wo

60 Wo

30 Wo

30 Wo

0o

0o

30 Eo

30 Eo

60 Eo

60 Eo

90 Eo

90 Eo

120 Eo

120 Eo

150 Eo

150 Eo

180o

180o

150 Wo

150 Wo

80 So 80 So

60 So 60 So

40 So 40 So

20 So 20 So

0o 0o

20 No 20 No

40 No 40 No

60 No 60 No

80 No 80 No

P1

P1

U1

U1

U2U2

Moon rising during eclipse Full eclipse visible

No eclipse visibleNo eclipse visible

Moon setting during eclipse

U3U3

U4

U4

P4

P4

Areas of visibility of the eclipse at different stagesC HM Nautical Almanac Office T = +69.0s∆

HA371/009/007/-01: Astronomical Phenomena, 2018 TEX aph_lunars_18 20150707 PLEASE REMOVE

ECLIPSES, 201876

V. −Partial Eclipse of the Sun, 2018 August 11


Universal Time of geocentric conjunction in right ascension, August 11d 9h 20m 3s.912Julian Date = 2458341.8889341694


Eclipse begins August 11 8 02.1 − 54 50.3 +57 47.1Greatest eclipse 11 9 46.3 +174 40.7 +70 26.1Eclipse ends 11 11 30.7 +109 28.4 +34 44.3


BESSELIAN ELEMENTS

Let t = (UT−8h ) + ıT / 3600 in units of hours.These equations are valid over the range −0h.042 ≤ t ≤ 3h.683. Do not use t outside the


Intersection of the axis of shadow with the fundamental plane:x = −0.75870787 + 0.56857207 t + 0.00000942 t2 − 0.00000962 t3y = +1.34344672 − 0.12563588 t − 0.00017209 t2 + 0.00000206 t3

Direction of the axis of shadow:sin d = +0.26287375 − 0.00020319 t − 0.00000003 t2cos d = +0.96483024 + 0.00005538 t − 0.00000003 t2

� = 298°.68924028+15.00307160 t + 0.00000157 t2+ 0.00000006 t3 − 0.00417807 ıT

Radius of the shadow on the fundamental plane:penumbra .l1/ = + 0.53160340 + 0.00008421 t − 0.00001269 t2− 0.00000001 t3umbra .l2/ = −0.01470847 + 0.00008389 t − 0.00001270 t2


�0 = +0.261853 radians per hourd 0 = −0.000211 radians per hour


RELATED PUBLICATIONS78

Joint publications of HM Nautical Almanac Office (UKHO) and the United States NavalObservatory

These publications are available from UKHO Distributors and the Superintendent of Docu-ments, U.S. Government Printing Office (USGPO) except where noted.

The Astronomical Almanac (AsA) and The Astronomical Almanac Online (AsA Online)contain ephemerides of the Sun, Moon, planets and their natural satellites, as well as data oneclipses and other astronomical phenomena. The AsA is an annual volume while AsA Onlineis updated annually. The data are calculated cooperatively by the British and American offices.A full list of contributors is given on page vii of the AsA (UKHO GP100) and on AsA Online.

The Nautical Almanac contains ephemerides at an interval of one hour and auxiliaryastronomical data for marine navigation. (UKHO NP314)

The Air Almanac contains ephemerides at an interval of ten minutes and auxiliary astro-nomical data for air navigation. This publication is now distributed solely on CD-ROM and isonly available from USGPO.

Rapid Sight Reduction Tables for Navigation (AP 3270 / NP 303), 3 volumes, formerlyentitled Sight Reduction Tables for Air Navigation. Volume 1, selected stars for epoch 2015·0,containing the altitude to 1′ and true azimuth to 1◦ for the seven stars most suitable fornavigation, for all latitudes and hour angles of Aries.

Other publications of HM Nautical Almanac Office (UKHO)

The Star Almanac for Land Surveyors (NP 321) contains the Greenwich hour angle ofAries and the position of the Sun, tabulated for every six hours, and represented by monthlypolynomial coefficients. Positions of all stars brighter than magnitude 4·0 are tabulated monthlyto a precision of 0s.1 in right ascension and 1′′ in declination. A CD-ROM is included whichcontains the electronic edition plus coefficients, in ASCII format, representing the data.

NavPac and Compact Data for 2016–2020 (DP 330) contains software, algorithms and data,which are mainly in the form of polynomial coefficients, for calculating the positions ofthe Sun, Moon, navigational planets and bright stars. It enables navigators to compute theirposition at sea from sextant observations using Windows OS XP/Vista/7/8 for the period1986–2020. The tabular data are also supplied as ASCII files on the CD-ROM.

Planetary and Lunar Coordinates, 2001–2020 provides low-precision astronomical data andphenomena for use well in advance of the annual ephemerides. It contains heliocentric,geocentric, spherical and rectangular coordinates of the Sun, Moon and planets, eclipse mapsand auxiliary data. All the tabular ephemerides are supplied solely on CD-ROM as ASCII andAdobe’s portable document format files. The full printed edition is published in the UnitedStates by Willmann-Bell Inc, PO Box 35025, Richmond VA 23235, USA.

Rapid Sight Reduction Tables for Navigation (AP 3270 / NP 303), 3 volumes, formerlyentitled Sight Reduction Tables for Air Navigation. Volumes 2 and 3 contain altitudes to 1′

and azimuths to 1◦ for integral degrees of declination from N 29◦ to S 29◦, for relevant latitudesand all hour angles at which the zenith distance is less than 95◦ providing for sights of theSun, Moon and planets.

The UK Air Almanac (AP1602) contains data useful in the planning of activities wherethe level of illumination is important, particularly aircraft movements, and is produced tothe general requirements of the Royal Air Force. It may be downloaded from the websitehttp://astro.ukho.gov.uk/nao/publicat/ukaa.html.

NAO Technical Notes are issued irregularly to disseminate astronomical data concerningephemerides or astronomical phenomena.


RELATED PUBLICATIONS 79

Other publications of the United States Naval Observatory

Astronomical Papers of the American Ephemeris† are issued irregularly and contain reportsof research in celestial mechanics with particular relevance to ephemerides.

U.S. Naval Observatory Circulars† are issued irregularly to disseminate astronomical dataconcerning ephemerides or astronomical phenomena.

U.S. Naval Observatory Circular No. 179, The IAU Resolutions on Astronomical ReferenceSystems, Time Scales, and Earth Rotation Models explains resolutions and their effects on thedata (see Web Links).

Explanatory Supplement to The Astronomical Almanac, (3rd edition). This book is anauthoritative source on the basis and derivation of information contained in The AstronomicalAlmanac. It contains material that is relevant to positional and dynamical astronomy andto chronology. The publication is a collaborative work with authors from the U.S. NavalObservatory, H.M. Nautical Almanac Office, the Jet Propulsion Laboratory, and others. Thisedition is published by and available from University Science Books, whose UK distributor isPalgrave Macmillan.

MICA is an interactive astronomical almanac for professional applications. Software forboth PC systems with Intel processors and Apple Macintosh computers is provided on asingle CD-ROM. MICA allows a user to compute, to full precision, much of the tabular datacontained in The Astronomical Almanac, as well as data for specific times and locations. Allcalculations are made in real time and data are not interpolated from tables. MICA is a productof the U.S. Naval Observatory; it is published by and available from Willmann-Bell Inc. Thelatest version covers the interval 1800-2050.

† Many of these publications are available from the Nautical Almanac Office, U.S. NavalObservatory, Washington, DC 20392-5420, see Web Links on the next page for availability.

Publications of other countries

Apparent Places of Fundamental Stars is prepared by the Astronomisches Rechen-Institut,Heidelberg (http://www.ari.uni-heidelberg.de). The printed version of APFS gives the datafor a few fundamental stars only, together with the explanation and examples. The apparentplaces of stars using the FK6 or Hipparcos catalogues are provided by the on-line databaseARIAPFS (http://www.ari.uni-heidelberg.de/ariapfs). The printed booklet also contains theso-called ‘10-Day-Stars’ and the ‘Circumpolar Stars’ and is available from Der Kleine BuchVerlag, Leopoldstrasse 7b, 76133 Karlsruhe, Germany.

Ephemerides of Minor Planets is prepared annually by the Institute of Applied Astronomy(http://www.ipa.nw.ru), and published by the Russian Academy of Sciences. Included inthis volume are elements, opposition dates and opposition ephemerides of all numberedminor planets. This volume (http://www.ipa.nw.ru/PAGE/DEPFUND/LSBSS/engephem.htm) isavailable from the Institute of Applied Astronomy, Naberezhnaya Kutuzova 10, St. Petersburg,191187 Russia.

Electronic Publications

The Astronomical Almanac Online: The companion publication of The AstronomicalAlmanac, providing data best presented in machine-readable form. It typically does notduplicate the data from the book. It does, in some cases, provide additional information orgreater precision than the printed data. Examples of data found on The Astronomical AlmanacOnline are searchable databases, eclipse and occultation maps, errata found in the printedpublication, and a searchable glossary. It is available at

http://asa.usno.navy.mil — WWW — http://asa.hmnao.com


WEB LINKS80

Please refer to the relevant World Wide Web address for further details about the publicationsand services provided by the following organisations.

U.S. Naval Observatory

• U.S. Naval Observatory portal at http://www.usno.navy.mil/USNO

• USNO Astronomical Applications Department portal at http://aa.usno.navy.mil/

• USNO Data Services at http://aa.usno.navy.mil/data/

• NOVAS astrometry software at http://aa.usno.navy.mil/software/novas/

• USNO Circular 179 at http://aa.usno.navy.mil/publications/docs/Circular 179.php

• The Astronomical Almanac Online—WWW— at http://asa.usno.navy.mil

H.M. Nautical Almanac Office

• General information at http://astro.ukho.gov.uk or http://www.gov.uk/HMNAO

• The Astronomical Almanac Online—WWW— at http://asa.hmnao.com/

• Eclipses Online at http://astro.ukho.gov.uk/eclipse/

• Online data services at http://astro.ukho.gov.uk/websurf/

• Crescent MoonWatch at http://astro.ukho.gov.uk/moonwatch/

International Astronomical Organizations

• IAU: International Astronomical Union at http://www.iau.org

• IERS: International Earth Rotation and Reference Systems Service at http://www.iers.org

• SOFA: IAU Standards of Fundamental Astronomy at http://www.iausofa.org

• NSFA: IAU Working Group on Numerical Standards at http://maia.usno.navy.mil/NSFA/

• CDS: Centre de Données astronomiques de Strasbourg at http://cdsweb.u-strasbg.fr

Publishers and Suppliers

• The UK Hydrographic Office (UKHO) at http://www.gov.uk/UKHO

• U.S. Government Printing Office (USGPO) at http://bookstore.gpo.gov

• University Science Books at http://www.uscibooks.com

• Willmann-Bell at http://www.willbell.com

• Macmillan Distribution at http://www.palgrave.com
