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Chapter 1 The Vault of the Heavens

The Vault of the Heavens

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Page 1: The Vault of the Heavens

Chapter 1

The Vault of

the Heavens

Page 2: The Vault of the Heavens

Altitude

Autumnal Equinox

Azimuth

Celestial Equator

Celestial Sphere

Circumpolar Star

Conjunction

Cross-Staff

Degree

Ecliptic

Equinox

Evening Star

Hand Measurements

Latitude

Latitude of FDHS

Longitude

Meridian

Minute

Morning Star

Nadir

North Celestial Sphere

One Hour of RA

Parallax

Polaris

Precession of the Equinox

Prime Meridian

Right Ascension

Second

Sidereal Day

Solstice

South Celestial Pole

Summer Solstice

Thuban

Vernal Equinox

Winter Solstice

Zenith

Zodiacal Constellations

Important Terms

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The Sky

The Milky

Way

Galaxy

and

The

Andromeda

Galaxy

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The Sky

The Leo Constellation

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The Sky

Borealis & Shooting Star

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The Sky

The Leonid Meteor Shower

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The Sky

Naked Eye Planets

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The Sky

The Comet McNaught 2007

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The Sky

Discharge from Experimental Rocket

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The Sky

Zodiacal Light

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The Sky

Gegenschein

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A Word about Numbers

This box a 10x10 array of dots

Which is 100 dots

Page 13: The Vault of the Heavens

A Word about Numbers

This box a 10x10

array of the boxes

from the previous

page.

Which is 10,000

dots

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A Word about Numbers

This box a 10x10

array of the boxes

from the previous

page.

Which is 1,000,000

dots

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A Word about Numbers

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A Word about Numbers1 million seconds is 11.5 days

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A Word about Numbers1 billion seconds is 31 years, 8 months

2024

2022

2019

2020

2021

2023

2025

2026

2027

2028

2029

2030

2031

2032

2033

2034

2035

2036

2037

2038

2039

2040

2041

2042

2043

2044

2045

2046

2047

2048

2049

2050

2051

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A Word about Numbers

1 trillion seconds is 31,688 years

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AstrologyThe word ASTROLOGY is derived from two Greek

words:

•astron meaning "star"

•ogia meaning "study of”

•Literally means the “study of stars”

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Astrology• Astrology is a symbolic language, an art form, a

science, and a method of divination.

• Though most cultural astrology systems share

common roots in ancient philosophies that

influenced each other, many use methods that differ

from those in the West.

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Horoscope

A horoscope is an

astrological chart

or diagram

representing the

positions of the

Sun, Moon,

planets,

astrological

aspects and

sensitive angles

at the time of an

event, such as the

moment of a

person's birth.

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Astronomy

The word ASTRONOMY is derived from two Greek

words:

•Astron meaning “star“

•-nomy from nomos, “law“

•literally means “law of the stars”

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Astronomy

The Traditional Definition:Astronomy is a natural science that deals with the

study of celestial objects and phenomena that

originate outside the Earth's atmosphere.

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Astronomy

It is concerned with the evolution, physics, chemistry,

meteorology, and motion of celestial objects, as well

as the formation and development of the universe.

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Astronomy

Astronomers

consistently use

the scientific

method,

naturalistic

presuppositions

and abstract

mathematical

reasoning to

investigate or

explain

phenomena in the

universe.

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Astrology vs. Astronomy

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The Celestial Sphere

• It is useful in discussing objects in the

sky to imagine them to be attached to a

sphere surrounding the earth.

• This fictitious construction is called the

celestial sphere.

• At any one time we see no more than half

of this sphere, but we will refer loosely to

the imaginary half-sphere over our heads

as the celestial sphere.

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The Celestial Sphere

• It is useful in discussing objects in the

sky to imagine them to be attached to a

sphere surrounding the earth.

• This fictitious construction is called the

celestial sphere.

• At any one time we see no more than half

of this sphere, but we will refer loosely to

the imaginary half-sphere over our heads

as the celestial sphere.

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The Celestial Sphere

Place all of the

stars, planets, the

Moon, and the

Sun on a

transparent globe,

with the Earth at

the center.

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The Celestial Sphere

•The Earth’s North

Pole is under the

North Celestial

Pole.

•The Earth’s South

Pole is under the

South Celestial

Pole.

•The Earth’s

equator is under

the Celestial

equator.

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Earth rotates west to

east, so stars appear to

circle from east to

west.

The Celestial Sphere

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The Celestial Sphere

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Zenith = Point on the celestial sphere directly overhead

Nadir = Point on the celestial sphere directly underneath

(not visible!)

The Celestial Sphere

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Meridian is an imaginary circle on the celestial sphere.

It passes from the north celestial pole to the southern

celestial pole, passing through the zenith

The Celestial Sphere

Page 37: The Vault of the Heavens

Fort Dorchester:

Longitude = 80 06 W

Latitude = 32 55 N

• Latitude: position north or south of equator

• Longitude: position east or west of Prime

Meridian (runs through Greenwich, England)

The Celestial Sphere

Page 38: The Vault of the Heavens

The Celestial South Pole is not visible from the

northern hemisphere.

Horizon

North

Celestial

North Pole

32° 55’

South

57° 5’

Celestial

Equator

Horizon

Charleston: l ≈ 32.9º or 32º 55’

The Celestial Sphere

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The Celestial Sphere

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Apparent Motion of The Celestial

Sphere

The Celestial Sphere

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The Celestial Sphere

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A circumpolar

star is a star that

never sets.

It never

disappears below

the horizon, due to

its proximity to one

of the celestial

poles.

The Celestial Sphere

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The Sun’s gravity is doing the same to Earth.

At left, gravity is pulling on a slanted top. => Wobbling

around the vertical.

Precession of the Equinox

Page 45: The Vault of the Heavens

Precession of the Equinox

Although the axis seems

fixed on human time

scales, it actually

precesses over about

26,000 years.

Polaris won’t always be

the North Star.

Positions of equinoxes

shift around orbit; e.g.,

spring equinox, once in

Aries, is now in Pisces!

Page 46: The Vault of the Heavens

It will be closest to

Polaris ~ A.D.

2100.

In 3000 B.C. the

faint star Thuban in

the constellation

Draco was the

North Star.

Errai

Precession of the Equinox

Alderamin

Page 47: The Vault of the Heavens

Precession of the Equinox

The North Celestial Pole currently has

nearly the same coordinates as the bright

star Polaris (named from the Latin stella

polaris, meaning "pole star").

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The Ecliptic

• The Sun’s apparent path on the sky is called the

Ecliptic.

• The planets share this path across the sky, ±6°

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The Ecliptic

Due to Earth’s revolution around the sun, the Sun

appears to move through the zodiacal

constellations.

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The EclipticIn ASTROLOGY

• The zodiac is a circle of twelve 30° divisions of

celestial longitude that are centered upon the ecliptic.

• These twelve divisions are called signs.

• Twelve constellations occupy these divisions.

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The EclipticSign Constellation

Name English Tropical zodiac NameIAU constellation

boundaries

Solar stay

(days)

Aries The Ram 20 March – 20 April Aries 18 April – 13 May 25.5

Taurus The Bull 20 April – 21 May Taurus 13 May – 21 June 38.2

Gemini The Twins 21 May – 21 June Gemini 21 June – 20 July 29.3

Cancer The Crab 21 June – 22 July Cancer 20 July – 10 August 21.1

Leo The Lion 22 July – 23 August Leo10 August –

16 September36.9

Virgo The Virgin23 August –

23 SeptemberVirgo

16 September –

30 October44.5

Libra The Scales23 September –

23 OctoberLibra

30 October –

23 November21.1

Scorpio The Scorpion23 October –

22 NovemberScorpius

23 November –

29 November8.4

Serpentarius The Snake Handler Ophiuchus29 November –

17 December18.4

SagittariusCentaur The

Archer

22 November –

22 DecemberSagittarius

17 December –

20 January33.6

Capricorn The Sea Goat22 December –

20 JanuaryCapricornus

21 January –

16 February27.4

AquariusThe Water

Bearer20 January – 18 February Aquarius

16 February –

11 March23.9

Pisces The Fish 18 February – 20 March Pisces 11 March – 18 April 37.7

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The Ecliptic

Page 53: The Vault of the Heavens

The Ecliptic

The planets are orbiting the sun almost

exactly in the plane of the Ecliptic.

The Moon is orbiting Earth in almost the

same plane (Ecliptic).

Page 54: The Vault of the Heavens

The Ecliptic

The planets are orbiting the sun almost

exactly in the plane of the Ecliptic.

Page 55: The Vault of the Heavens

The Ecliptic

The planets orbit the Sun almost exactly in

the plane of the Ecliptic.

28 January 2016

Page 56: The Vault of the Heavens

The Ecliptic

The planets orbit the Sun almost exactly in

the plane of the Ecliptic.

29 November 1989

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The Ecliptic

Page 58: The Vault of the Heavens

The Ecliptic

April 23, 2002

Page 59: The Vault of the Heavens

The Ecliptic

Page 60: The Vault of the Heavens

Fort Dorchester:

Longitude = 80 06 W

Latitude = 32 55 N

• Latitude: position north or south of equator

• Longitude: position east or west of prime

meridian (runs through Greenwich, England)

Right Ascension

Page 61: The Vault of the Heavens

If you face the north celestial pole,

the stars will rise (ascend) on your

right - hence the term "right

ascension."

Right Ascension

West East

Page 62: The Vault of the Heavens

• Right ascension

(RA) is like

longitude.

• It locates where a

star is along the

celestial equator.

• The zero point of

longitude has been

chosen to be where

the line straight

down from the

Greenwich

Observatory in

England meets the

equator.

Right Ascension

Page 63: The Vault of the Heavens

• RA is measured in hours (h), minutes

(m) and seconds (s).

• One hour of RA (1h) is 15°.

• Since 24 x 15°=360°.

• There are 24 hours of Right Ascension

around the celestial equator.

• The celestial sphere makes one full

rotation (24h of RA) in one day (24

hours of time).

Right Ascension

Page 64: The Vault of the Heavens

Right Ascension

Page 65: The Vault of the Heavens

• The constellation Orion has a RA of 05h 35m 42s

• This is where (not when) the center of the constellation

appears on the Celestial Sphere.

Right Ascension

Page 66: The Vault of the Heavens

• When will the constellation Orion be directly overhead?

• You must consult a Star Chart for that (we will be using

them in a few chapters).

Right Ascension

Page 67: The Vault of the Heavens

Measurements in the Sky

In a full circle there are 360 degrees.

Each degree is split up into 60 parts, each part being 1/60

of a degree. These parts are called minutes.

Each minute is split up into 60 parts, each part being 1/60

of a minute. These parts are called seconds.

Symbol for degree: °

Symbol for minute: ‘

Symbol for second: “

Page 68: The Vault of the Heavens

Measurements in the Sky

60

Page 69: The Vault of the Heavens

Measurements in the Sky

So, the angle of 40 degrees, 20

minutes, 50 seconds is usually

written this way:

40° 20’ 50”

Or it can be written in decimal

form:

40.34722°

Page 70: The Vault of the Heavens

Measurements in the Sky

The Sun “travels” across the sky at 15 degrees per

hour.

Page 71: The Vault of the Heavens

Measurements in the Sky

• Astronomers use angles

to measure the relative

position of objects in the

sky.

• The angle between two

stars doesn't change and

doesn't depend on the

distance of the stars from

the Earth.

Page 72: The Vault of the Heavens

In ancient and

medieval times,

a cross-staff was

used to measure

angles in the

sky.

In the absence

of a cross-staff,

you can estimate

angles using

your fingers and

hand.

Measurements in the Sky

Page 73: The Vault of the Heavens

Measurements in the Sky

• To get started, hold your

hands at arm's length in

front of your face.

• Now raise your little finger.

The width of the tip of your

little finger at arm's length

is about one degree

• Raise your three middle

fingers to measure 5

degrees.

Page 74: The Vault of the Heavens

Measurements in the Sky

•Clench your fist or hold

your hand like a

policeman stopping traffic

to measure 10 degrees.

•Now stretch your thumb

and little finger as wide

as you can (one full

hand-span) to measure

about 25 degrees.

25o

Page 76: The Vault of the Heavens

Azimuth and Altitude

Azimuth - The angular distance measured around

the observer's horizon from the point directly

beneath the Celestial North Pole to place on the

horizon beneath the celestial body.

Azimuth is 0° for an object due north, 90° due

east, 180° due south, and 270° due west.

Page 77: The Vault of the Heavens

Azimuth and Altitude

Altitude, also referred to as elevation angle, refers to the vertical angle measured from the astronomical horizon (0°) towards the zenith (+90°).

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Parallax is an apparent change in

an object's position due to a

change in the observer's position.

Parallax

Page 79: The Vault of the Heavens

The parallax

angles of the

star are so

small, that

you need a

telescope to

observe them.

……

Parallax

Stellar parallax is created by the different orbital

positions of the Earth that causes nearby stars

to appear to move relative to more distant stars.

Page 80: The Vault of the Heavens

Daily Motion

Earth’s rotation is causing the day/night cycle.

Page 81: The Vault of the Heavens

Rotation – the movement of a

planet around an axis that is

internal to the planet.

e.g. a planet spinning on its

axis (a day).

Rotation

Page 82: The Vault of the Heavens

Daily Motion

• Thanks to the

Egyptians (in part),

our day is divided

into 24 hours.

• This day is a solar

day – the time from

the noon of one day

to the following day’s

noon.

Page 83: The Vault of the Heavens

Daily Motion• A synodic day is the period it takes for a planet to

rotate once in relation to Sun.

• From noon of one day to noon of the next day.

• Sometimes referred to as a solar day.

Page 84: The Vault of the Heavens

Daily Motion• The sidereal day is the time it takes for the Earth to

complete one rotation about its axis with respect to

the ‘fixed’ stars.

• The stars “move” around the Earth in 23 hours 56

minutes.

Page 85: The Vault of the Heavens

Daily MotionIf you look closely at the positions of the stars

over a period of several days, you will notice that

according to our clocks, the stars rise and set 4

minutes earlier each day.

The time of each image is 5:49

August 6August 7August 8August 9

Page 86: The Vault of the Heavens

6 August 5:49

Daily MotionIf you look closely at the positions of the stars

over a period of several days, you will notice that

according to our clocks, the stars rise and set 4

minutes earlier each day.

7 August 5:458 August 5:419 August 5:37

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Daily Motion

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Daily Motion

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Revolution – the movement of

a planet around an axis that is

external to the planet.

e.g. a planet moving around a

star.

Revolution

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Annual Motion

The motion of the Earth in its orbit round the Sun is

called its annual motion.

It takes 365.25 days to complete one revolution around

the Sun.

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Annual Motion – Leap Year

• A leap year is a year containing one additional day in order to

keep the calendar year synchronized with the astronomical or

seasonal year.

• Prior to the 1500s, a 10 day drift developed between the

calendar event and actual astronomical time.

Page 93: The Vault of the Heavens

Annual Motion – Leap Year

• The Julian calendar was in

general use in Europe and

Northern Africa until 1582.

• Four Catholic countries—Spain,

Portugal, the Poland, and most of

Italy—implemented the new

calendar on the date specified by

Pope Gregory XIII.

Page 94: The Vault of the Heavens

Annual Motion – Leap Year

• Julian Calendar Thursday, 4

October 1582, being followed by

Gregorian Calendar Friday, 15

October 1582.

• In the British Empire (including

the American colonies),

Wednesday 2 September 1752

was followed by Thursday 14

September 1752 (170 years

later).

Page 95: The Vault of the Heavens

Annual MotionAutumnal Equinox - Sept 23*

• Length of day & night are “equal”

• 12 hours, 6 minutes, 55 seconds

Winter Solstice - Dec 22

• The shortest “day” of the year

• 9 hours, 59 minutes, 29 seconds

Vernal Equinox - March 20*, 2020

• Length of day & night are “equal”

• 12 hours, 8 minutes, 55 seconds

Summer Solstice - June 21, 2020

• The longest “day” of the year (daytime)

• 14 hours, 18 minutes, 46 seconds

*On these two days, the geometric center of the sun is above the

horizon for 12 hours.

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• Literally meaning Equal Night.

• Although, as the etymology of the word suggests, the

term originally referred to when night and day are the

same length.

• There are two equinoxes each year.

Autumnal Equinox – September 23, 2019

Vernal Equinox – March 20, 2020

Annual Motion – Equinox

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The instant at which the center of the Sun crosses the

celestial equator (the intersection of the ecliptic and

equator).

Annual Motion – Equinox

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The Sun rises Due East on the horizon.

Annual Motion – Equinox

Page 99: The Vault of the Heavens

The sunlight strikes the Earth perpendicular to the

equator.

Annual Motion – Equinox

Page 100: The Vault of the Heavens

• Tropic of Cancer is a parallel of latitude on the Earth,

23.5 degrees North of the Equator.

• The The Tropic of Capricorn is a parallel of latitude

on the Earth, 23.5 degrees South of the Equator.

Annual Motion

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• Literally meaning Standing Still of the Sun or Sun

Stopping.

• The summer and winter solstices are the longest and

shortest days of the year, respectively.

Winter Solstice – December 22, 2019

Summer Solstice – June 21, 2020

Annual Motion – Solstice

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Occur when Sun

is at its greatest

distance from the

celestial equator.

Annual Motion – Solstice

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During the Summer Solstice, the Sun is above the

celestial equator.

Summer Solstice

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Summer Solstice

The Sun rises North of East.

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Summer SolsticeThe sunlight strikes the Earth perpendicular to the

Tropic of Cancer.

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Winter Solstice

During the Winter, the Sun is below the celestial

equator.

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Winter SolsticeThe sunlight strikes the Earth perpendicular to the

Tropic of Capricorn.

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Winter Solstice

The Sun rises South of East.

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Annual Motion

Vernal Equinox – March 20 Summer Solstice – June 21

Autumnal Equinox – Sept 23 Winter Solstice – Dec 22

Page 110: The Vault of the Heavens

Annual MotionAutumnal Equinox - Sept 23*

• Length of day & night are “equal”

• 12 hours, 6 minutes, 55 seconds

Winter Solstice - Dec 22

• The shortest “day” of the year

• 9 hours, 59 minutes, 29 seconds

Vernal Equinox - March 20*, 2020

• Length of day & night are “equal”

• 12 hours, 8 minutes, 55 seconds

Summer Solstice - June 21, 2020

• The longest “day” of the year (daytime)

• 14 hours, 18 minutes, 46 seconds

*On these two days, the geometric center of the sun is above the

horizon for 12 hours.

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Annual Motion

• ‘Sunrise’ is defined as the instant when the upper edge

of the sun's disk becomes visible above the horizon.

• In the same sense, ‘sunset’ refers to the moment the

upper edge disappears below the horizon.

• At both instances, the center of the sun is below the

horizon, and therefore the equinox day lasts a little

longer than 12 hours.

Page 112: The Vault of the Heavens

Annual Motion• Another reason why the Sun is visible longer than 12

hours on an equinox is that the Earth's atmosphere

refracts (bends) sunlight.

• Refraction causes the Sun’s upper edge to be visible

from Earth several minutes before the edge actually

reaches the horizon.

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Annual Motion

When will “Equal night” occur in North Charleston?

This Autumn, 12 Hours of daylight will occur on -

September 26

• Length of day & night aren’t exactly equal

• 12 hours, 55 seconds

Next Spring, March 16 will be the closest to 12 hours of

daylight

• Length of day & night are almost equal

• 12 hours, 46 seconds

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The Seasons

Earth’s axis of rotation is inclined vs. the normal to its

orbital plane by 23.5°, which causes the seasons.

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The Seasons

Northern summer

corresponds to a southern

winter

Northern winter corresponds

to a southern summer

The Seasons are only caused by a varying angle of

incidence of the sun’s rays.

Page 116: The Vault of the Heavens

The Seasons

When sunlight shines on the earth at a lower angle (a), the

energy of the sunlight is spread over a larger area, and is

therefore weaker than if the sun is higher overhead (b) and

the energy is concentrated on a smaller area.

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The Seasons

When sunlight shines on the earth at a lower angle (a), the

energy of the sunlight is spread over a larger area, and is

therefore weaker than if the sun is higher overhead (b) and

the energy is concentrated on a smaller area.

a

b

Page 118: The Vault of the Heavens

The Seasons• Since the Sun is not at the center of an elliptical orbit, the planet

moves closer towards and further away from the Sun as it orbits.

• The place where the planet is closest to the Sun is called

perihelion.

• When the planet is furthest away from the Sun, it is at aphelion.

• In Greek, "helios" mean Sun, "peri" means near, and "apo"

means away from

Page 119: The Vault of the Heavens

The Seasons

Earth’s distance from the sun has only a very

minor influence on seasonal temperature

variations.

Sun

Earth in

July

Earth in

January

Earth’s orbit (eccentricity greatly

exaggerated)

147.5 million km

Perihelion152.5 million km

Aphelion

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The Motion of the Sun

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Magnitude• The brightness of a star can impart a great deal of

information about the star.

• Due to the various distances of the multitudes of stars, the

brightness of a brilliant star can appear faint when

compared to a closer dim star.

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Magnitude• In astronomy, magnitude is a logarithmic measure of the

brightness of an object, measured in a specific wavelength

or passband, usually in the visible or near-infrared

spectrum.

• An imprecise but systematic determination of the

magnitude of objects was introduced in ancient times by

Hipparchus.

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Magnitude

• Hipparchus ranked

stars in three

magnitude very

general classes

according to their

brightness but he did

not assign a

numerical brightness

value to any star.

• The magnitude

system ranging from

1 (brightest) to 6

(faintest) was

established by

Ptolemy.

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Apparent Magnitude

• The apparent

magnitude (m) of a

celestial object is a

number that is a

measure of its

brightness as seen by

an observer on Earth.

• It is adjusted to the

value it would have in

the absence of the

atmosphere.

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Apparent Magnitude• The brighter an object appears, the lower its magnitude value

(i.e. inverse relation).

• Furthermore, the magnitude scale is logarithmic; and a

difference of n magnitudes in absolute magnitude

corresponds to a luminosity ratio of 100(n/5).

Magnitude

Difference

Relative

Brightness

0 1

1 2.51

2 6.31

3 15.85

4 39.81

5 100

10 10,000

15 1,000,000

20 100,000,000

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Apparent Magnitude• The brighter an object appears, the lower its magnitude value

(i.e. inverse relation).

• Furthermore, the magnitude scale is logarithmic; and a

difference of n magnitudes in absolute magnitude

corresponds to a luminosity ratio of 100(n/5).

Magnitude

Difference

Relative

Brightness

0 1

1 2.51

2 6.31

3 15.85

4 39.81

5 100

10 10,000

15 1,000,000

20 100,000,000

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Apparent Magnitude• The Sun, at apparent magnitude of −27, is the brightest

object in the sky.

• The faintest were of sixth magnitude (m = 6), which is the

limit of human visual perception (without the aid of a

telescope).

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Apparent Magnitude

Magnitude Object

-26 The Sun

-13 Full Moon

-6 Crescent Moon

-4 Planet Venus

-3 Planet Jupiter & Mars

-2 Planet Mercury

-1 Brightest Star, Sirius

0 Planet Saturn

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Apparent Magnitude

Magnitude Object

0 Planet Saturn

+1 Antares

+2 Polaris

+3Faintest naked-eye stars

naked eye: rural, suburban, small city

+4

Faintest naked-eye stars visible from

suburban areas & outer areas of small

cities

+5

Faintest naked-eye stars visible from

"dark" rural areas located some 40 miles

(60 km) from major cities

+6

Planet Uranus

Faintest naked-eye stars visible from

"dark" rural areas located some 100 miles

(150 km) from major cities

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Apparent Magnitude

Magnitude Object

-26 The Sun

-13 Full Moon

-6 Crescent Moon

-4 Planet Venus

-3 Planet Jupiter & Mars

-2 Planet Mercury

-1 Brightest Star, Sirius

0 Planet Saturn

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Absolute Magnitude• Absolute magnitude is a measure of the luminosity of a

celestial object, on a logarithmic astronomical magnitude

scale.

• An object's absolute magnitude is defined to be equal to the

apparent magnitude that the object would have if were viewed

from a distance of exactly 10 parsecs (32.6 light years), with

no dimming of its light due to absorption by interstellar dust

particles.

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Absolute Magnitude• Absolute magnitude is a measure of the luminosity of a

celestial object, on a logarithmic astronomical magnitude

scale.

• However, the absolute magnitude is equal to the apparent

magnitude that the object would have if were viewed from a

distance of exactly 10 parsecs (32.6 light years).

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Apparent & Absolute Magnitudes

Page 134: The Vault of the Heavens

Apparent & Absolute Magnitudes

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Apparent & Absolute Magnitudes

Common

NameConstellation

Apparent

Magnitude

Absolute

Magnitude

Distance from

Earth

Sun n/a -26.72 4.2 93 million miles

Sirius Canis Major -1.46 1.4 8.6 light-years

Rigel Orion 0.12 -8.1 1,400 ly

Betelgeuse Orion 0.50 -7.2 1,400 ly

Aldebaran Taurus 0.85 -0.3 60 ly

Pollux Gemini 1.14 0.7 40 ly

Regulus Leo 1.35 -0.3 69 ly

Castor Gemini 1.57 0.5 49 ly

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Apparent & Absolute Magnitudes

Common

NameConstellation

Apparent

Magnitude

Absolute

Magnitude

Distance from

Earth

Sun n/a -26.72 4.2 93 million miles

Sirius Canis Major -1.46 1.4 8.6 light-years

Rigel Orion 0.12 -8.1 1,400 ly

Betelgeuse Orion 0.50 -7.2 1,400 ly

Aldebaran Taurus 0.85 -0.3 60 ly

Pollux Gemini 1.14 0.7 40 ly

Regulus Leo 1.35 -0.3 69 ly

Castor Gemini 1.57 0.5 49 ly

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Proper Motion

Luhman 16 is a binary brown-dwarf system in the southern constellation

Vela 6.5 ly away - during 2 year peroid

Proper motion refers to the movement across the sky

exhibited by a star or other celestial body.

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Proper MotionThe enormous distances to the stars means that only the

closest have proper motions that are large enough to be

expressed in arcseconds per year – milliarcseconds per year

are more common.

Proper motion of 61 Cygni in one year intervals.

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Proper Motion

Barnard's Star

is a very-low-

mass red dwarf

about 6 light-

years away

from Earth in

the

constellation of

Ophiuchus.

This image

covers 9 years

from 2007 to

2015.

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This Ends the

Material for

Chapter 1