Generated by PyAlmanac

The Nautical Almanac

2018

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January 01, 02 ,03 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10035.8 18117.1 -2337.9 23836.7 -1513.7 23549.0 -1553.1 18905.5 -2231.91 11538.2 19616.2 -2337.7 25337.6 -1514.2 25051.0 -1553.2 20407.6 -2231.92 13040.7 21115.2 -2337.6 26838.5 -1514.7 26553.0 -1553.3 21909.8 -2231.93 14543.2 22614.2 -2337.5 28339.5 -1515.1 28055.1 -1553.4 23411.9 -2231.94 16045.6 24113.2 -2337.4 29840.4 -1515.6 29557.1 -1553.5 24914.1 -2231.95 17548.1 25612.3 -2337.3 31341.3 -1516.1 31059.2 -1553.6 26416.2 -2231.96 19050.6 27111.3 -2337.2 32842.2 -1516.6 32601.2 -1553.8 27918.4 -2231.97 20553.0 28610.3 -2337.1 34343.2 -1517.0 34103.3 -1553.9 29420.5 -2231.98 22055.5 30109.4 -2336.9 35844.1 -1517.5 35605.3 -1554.0 30922.6 -2231.99 23558.0 31608.4 -2336.8 1345.0 -1518.0 1107.3 -1554.1 32424.8 -2231.910 25100.4 33107.4 -2336.7 2845.9 -1518.5 2609.4 -1554.2 33926.9 -2231.911 26602.9 34606.5 -2336.6 4346.9 -1518.9 4111.4 -1554.3 35429.1 -2231.812 28105.3 105.5 -2336.5 5847.8 -1519.4 5613.5 -1554.4 931.2 -2231.813 29607.8 1604.5 -2336.3 7348.7 -1519.9 7115.5 -1554.6 2433.4 -2231.814 31110.3 3103.6 -2336.2 8849.6 -1520.4 8617.6 -1554.7 3935.5 -2231.815 32612.7 4602.6 -2336.1 10350.6 -1520.8 10119.6 -1554.8 5437.7 -2231.816 34115.2 6101.6 -2336.0 11851.5 -1521.3 11621.7 -1554.9 6939.8 -2231.817 35617.7 7600.7 -2335.8 13352.4 -1521.8 13123.7 -1555.0 8442.0 -2231.818 1120.1 9059.7 -2335.7 14853.3 -1522.3 14625.7 -1555.1 9944.1 -2231.819 2622.6 10558.7 -2335.6 16354.3 -1522.7 16127.8 -1555.2 11446.3 -2231.820 4125.1 12057.8 -2335.4 17855.2 -1523.2 17629.8 -1555.4 12948.4 -2231.821 5627.5 13556.8 -2335.3 19356.1 -1523.7 19131.9 -1555.5 14450.6 -2231.822 7130.0 15055.8 -2335.2 20857.0 -1524.1 20633.9 -1555.6 15952.7 -2231.823 8632.5 16554.9 -2335.0 22357.9 -1524.6 22136.0 -1555.7 17454.9 -2231.8Mer.pass.:17:14 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10134.9 18053.9 -2334.9 23858.9 -1525.1 23638.0 -1555.8 18957.0 -2231.81 11637.4 19552.9 -2334.7 25359.8 -1525.6 25140.1 -1555.9 20459.2 -2231.82 13139.8 21052.0 -2334.6 26900.7 -1526.0 26642.1 -1556.0 22001.3 -2231.83 14642.3 22551.0 -2334.5 28401.6 -1526.5 28144.2 -1556.2 23503.5 -2231.84 16144.8 24050.0 -2334.3 29902.6 -1527.0 29646.2 -1556.3 25005.6 -2231.85 17647.2 25549.1 -2334.2 31403.5 -1527.4 31148.3 -1556.4 26507.7 -2231.86 19149.7 27048.1 -2334.0 32904.4 -1527.9 32650.3 -1556.5 28009.9 -2231.87 20652.2 28547.1 -2333.9 34405.3 -1528.4 34152.3 -1556.6 29512.0 -2231.88 22154.6 30046.2 -2333.7 35906.3 -1528.9 35654.4 -1556.7 31014.2 -2231.89 23657.1 31545.2 -2333.6 1407.2 -1529.3 1156.4 -1556.8 32516.3 -2231.810 25159.6 33044.2 -2333.4 2908.1 -1529.8 2658.5 -1556.9 34018.5 -2231.811 26702.0 34543.3 -2333.3 4409.0 -1530.3 4200.5 -1557.1 35520.6 -2231.812 28204.5 042.3 -2333.1 5909.9 -1530.7 5702.6 -1557.2 1022.8 -2231.813 29707.0 1541.4 -2333.0 7410.9 -1531.2 7204.6 -1557.3 2524.9 -2231.814 31209.4 3040.4 -2332.8 8911.8 -1531.7 8706.7 -1557.4 4027.1 -2231.815 32711.9 4539.4 -2332.7 10412.7 -1532.1 10208.7 -1557.5 5529.2 -2231.816 34214.3 6038.5 -2332.5 11913.6 -1532.6 11710.8 -1557.6 7031.4 -2231.817 35716.8 7537.5 -2332.3 13414.6 -1533.1 13212.8 -1557.7 8533.5 -2231.818 1219.3 9036.5 -2332.2 14915.5 -1533.6 14714.9 -1557.9 10035.7 -2231.819 2721.7 10535.6 -2332.0 16416.4 -1534.0 16216.9 -1558.0 11537.8 -2231.820 4224.2 12034.6 -2331.9 17917.3 -1534.5 17719.0 -1558.1 13040.0 -2231.821 5726.7 13533.6 -2331.7 19418.2 -1535.0 19221.0 -1558.2 14542.1 -2231.822 7229.1 15032.7 -2331.5 20919.2 -1535.4 20723.1 -1558.3 16044.3 -2231.823 8731.6 16531.7 -2331.4 22420.1 -1535.9 22225.1 -1558.4 17546.4 -2231.8Mer.pass.:17:10 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10234.1 18030.8 -2331.2 23921.0 -1536.4 23727.2 -1558.5 19048.6 -2231.81 11736.5 19529.8 -2331.0 25421.9 -1536.8 25229.2 -1558.6 20550.7 -2231.82 13239.0 21028.8 -2330.8 26922.8 -1537.3 26731.3 -1558.8 22052.9 -2231.83 14741.5 22527.9 -2330.7 28423.8 -1537.8 28233.3 -1558.9 23555.0 -2231.84 16243.9 24026.9 -2330.5 29924.7 -1538.2 29735.4 -1559.0 25057.2 -2231.85 17746.4 25525.9 -2330.3 31425.6 -1538.7 31237.4 -1559.1 26559.3 -2231.86 19248.8 27025.0 -2330.1 32926.5 -1539.2 32739.5 -1559.2 28101.5 -2231.87 20751.3 28524.0 -2330.0 34427.4 -1539.6 34241.5 -1559.3 29603.6 -2231.88 22253.8 30023.1 -2329.8 35928.4 -1540.1 35743.6 -1559.4 31105.7 -2231.89 23756.2 31522.1 -2329.6 1429.3 -1540.6 1245.6 -1559.5 32607.9 -2231.810 25258.7 33021.1 -2329.4 2930.2 -1541.0 2747.7 -1559.6 34110.0 -2231.811 26801.2 34520.2 -2329.2 4431.1 -1541.5 4249.7 -1559.8 35612.2 -2231.812 28303.6 019.2 -2329.1 5932.0 -1542.0 5751.8 -1559.9 1114.3 -2231.813 29806.1 1518.3 -2328.9 7433.0 -1542.4 7253.8 -1560.0 2616.5 -2231.814 31308.6 3017.3 -2328.7 8933.9 -1542.9 8755.9 -1600.1 4118.6 -2231.815 32811.0 4516.3 -2328.5 10434.8 -1543.3 10257.9 -1600.2 5620.8 -2231.816 34313.5 6015.4 -2328.3 11935.7 -1543.8 11760.0 -1600.3 7122.9 -2231.817 35816.0 7514.4 -2328.1 13436.6 -1544.3 13302.0 -1600.4 8625.1 -2231.818 1318.4 9013.5 -2327.9 14937.6 -1544.7 14804.1 -1600.5 10127.2 -2231.819 2820.9 10512.5 -2327.7 16438.5 -1545.2 16306.2 -1600.6 11629.4 -2231.820 4323.3 12011.5 -2327.5 17939.4 -1545.7 17808.2 -1600.8 13131.5 -2231.821 5825.8 13510.6 -2327.4 19440.3 -1546.1 19310.3 -1600.9 14633.7 -2231.822 7328.3 15009.6 -2327.2 20941.2 -1546.6 20812.3 -1601.0 16135.8 -2231.823 8830.7 16508.7 -2327.0 22442.2 -1547.1 22314.4 -1601.1 17638.0 -2231.8Mer.pass.:17:06 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.3 2911.5Ankaa 35312.7 -4212.8

Schedar 34936.9 5638.3Diphda 34852.7 -1753.5

Achernar 33524.4 -5709.2Hamal 32757.2 2332.8Polaris 31606.7 8920.6Akamar 31515.8 -4014.3Menkar 31411.6 409.4Mirfak 30835.5 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.5

Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.8 -4330.3

Miaplacidus 22138.2 -6947.3Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

Denebola 18230.4 1428.3Gienah 17549.0 -1738.3Acrux 17305.7 -6311.5

Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.1 -1115.1Alcaid 15256.7 4913.3Hadar 14843.7 -6027.1

Menkent 14804.1 -3627.2Arcturus 14552.9 1905.7

Rigil Kent. 13947.8 -6054.1Zubenelg. 13702.2 -1606.7Kochab 13720.9 7404.8

Alphecca 12608.7 2639.3Antares 11222.8 -2628.0

Atria 10722.3 -6903.2Sabik 10209.3 -1544.6

Shaula 9618.1 -3706.7Rasalhague 9604.0 1233.0

Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.9

Enif 3344.4 957.5Alnair 2740.3 -4652.6

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.2

2018/1/1 SHA Mer.passVenus 8041.3 11:56Mars 13800.9 08:05

Jupiter 13513.2 08:16Saturn 8829.7 11:22

2018/1/2 SHA Mer.passVenus 7919.0 11:57Mars 13724.0 08:04

Jupiter 13503.1 08:12Saturn 8822.1 11:19

2018/1/3 SHA Mer.passVenus 7756.7 11:59Mars 13646.9 08:02

Jupiter 13453.1 08:09Saturn 8814.5 11:15

Horizontal paralaxVenus: 0.1Mars: 0.1

2

2018 January 01 to Jan. 03

h Sun MoonMon GHA Dec GHA Dec d HP0 17910.0 -2301.1 1605.7 3.3 1919.2 3.6 61.41 19409.7 -2300.9 3027.9 3.2 1922.7 3.5 61.42 20909.5 -2300.7 4450.1 3.2 1926.2 3.4 61.43 22409.2 -2300.5 5912.2 3.1 1929.5 3.2 61.44 23908.9 -2300.3 7334.3 3.1 1932.6 3.1 61.45 25408.6 -2300.1 8756.4 3.0 1935.6 2.9 61.46 26908.3 -2259.9 10218.4 3.0 1938.4 2.8 61.47 28408.0 -2259.7 11640.4 3.0 1941.1 2.6 61.48 29907.7 -2259.5 13102.3 2.9 1943.6 2.5 61.49 31407.4 -2259.3 14524.2 2.9 1946.0 2.3 61.410 32907.1 -2259.1 15946.1 2.9 1948.2 2.2 61.511 34406.8 -2258.9 17408.0 2.8 1950.3 2.0 61.512 35906.5 -2258.7 18829.8 2.8 1952.3 1.9 61.513 1406.2 -2258.5 20251.6 2.8 1954.0 1.7 61.514 2905.9 -2258.3 21713.4 2.8 1955.7 1.5 61.515 4405.6 -2258.0 23135.1 2.7 1957.1 1.4 61.516 5905.3 -2257.8 24556.9 2.7 1958.4 1.2 61.517 7405.1 -2257.6 26018.6 2.7 1959.6 1.1 61.518 8904.8 -2257.4 27440.3 2.7 2000.6 0.9 61.519 10404.5 -2257.2 28902.0 2.7 2001.5 0.8 61.520 11904.2 -2257.0 30323.7 2.7 2002.2 0.6 61.521 13403.9 -2256.8 31745.4 2.7 2002.7 0.5 61.522 14903.6 -2256.5 33207.0 2.7 2003.1 0.3 61.523 16403.3 -2256.3 34628.7 2.7 2003.3 0.2 61.5

SD.=16.3 d=0.2 S.D.=16.7

Tue GHA Dec GHA Dec d HP0 17903.0 -2256.1 050.4 2.7 2003.4 -0.0 61.51 19402.7 -2255.9 1512.1 2.7 2003.3 -0.2 61.52 20902.4 -2255.7 2933.8 2.7 2003.1 -0.3 61.53 22402.1 -2255.4 4355.4 2.7 2002.7 -0.5 61.54 23901.8 -2255.2 5817.1 2.7 2002.1 -0.6 61.55 25401.6 -2255.0 7238.8 2.7 2001.4 -0.8 61.56 26901.3 -2254.8 8700.6 2.7 2000.6 -0.9 61.57 28401.0 -2254.5 10122.3 2.7 1959.5 -1.1 61.58 29900.7 -2254.3 11544.0 2.8 1958.4 -1.2 61.59 31400.4 -2254.1 13005.8 2.8 1957.1 -1.4 61.510 32900.1 -2253.9 14427.6 2.8 1955.6 -1.6 61.411 34359.8 -2253.6 15849.4 2.8 1953.9 -1.7 61.412 35859.5 -2253.4 17311.2 2.9 1952.2 -1.9 61.413 1359.2 -2253.2 18733.1 2.9 1950.2 -2.0 61.414 2859.0 -2252.9 20155.0 2.9 1948.1 -2.2 61.415 4358.7 -2252.7 21616.9 2.9 1945.9 -2.3 61.416 5858.4 -2252.5 23038.9 3.0 1943.5 -2.5 61.417 7358.1 -2252.2 24500.9 3.0 1941.0 -2.6 61.418 8857.8 -2252.0 25922.9 3.1 1938.3 -2.8 61.419 10357.5 -2251.8 27345.0 3.1 1935.4 -2.9 61.420 11857.2 -2251.5 28807.1 3.1 1932.5 -3.1 61.321 13356.9 -2251.3 30229.3 3.2 1929.3 -3.2 61.322 14856.6 -2251.1 31651.5 3.2 1926.0 -3.4 61.323 16356.4 -2250.8 33113.8 3.3 1922.6 -3.5 61.3

SD.=16.3 d=0.2 S.D.=16.8

Wed GHA Dec GHA Dec d HP0 17856.1 -2250.6 34536.1 3.3 1919.0 -3.6 61.31 19355.8 -2250.4 35958.4 3.4 1915.3 -3.8 61.32 20855.5 -2250.1 1420.8 3.4 1911.5 -3.9 61.33 22355.2 -2249.9 2843.3 3.5 1907.5 -4.1 61.24 23854.9 -2249.6 4305.8 3.6 1903.3 -4.2 61.25 25354.6 -2249.4 5728.4 3.6 1859.0 -4.4 61.26 26854.3 -2249.1 7151.0 3.7 1854.6 -4.5 61.27 28354.1 -2248.9 8613.8 3.7 1850.1 -4.6 61.28 29853.8 -2248.7 10036.5 3.8 1845.4 -4.8 61.19 31353.5 -2248.4 11459.3 3.9 1840.5 -4.9 61.110 32853.2 -2248.2 12922.2 3.9 1835.6 -5.0 61.111 34352.9 -2247.9 14345.2 4.0 1830.5 -5.2 61.112 35852.6 -2247.7 15808.2 4.1 1825.2 -5.3 61.113 1352.3 -2247.4 17231.4 4.1 1819.9 -5.4 61.014 2852.1 -2247.2 18654.5 4.2 1814.4 -5.6 61.015 4351.8 -2246.9 20117.8 4.3 1808.8 -5.7 61.016 5851.5 -2246.7 21541.1 4.4 1803.0 -5.8 61.017 7351.2 -2246.4 23004.5 4.4 1757.1 -5.9 60.918 8850.9 -2246.2 24428.0 4.5 1751.1 -6.1 60.919 10350.6 -2245.9 25851.5 4.6 1745.0 -6.2 60.920 11850.3 -2245.7 27315.2 4.7 1738.8 -6.3 60.921 13350.1 -2245.4 28738.9 4.8 1732.4 -6.4 60.822 14849.8 -2245.1 30202.7 4.8 1725.9 -6.5 60.823 16349.5 -2244.9 31626.6 4.9 1719.3 -6.7 60.8

SD.=16.3 d=0.2 S.D.=16.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:23 10:39 : : 13:29 15:4670 08:04 09:48 : : 14:21 16:0468 07:49 09:16 : : 14:53 16:1966 07:37 08:52 10:26 13:43 15:16 16:3264 07:26 08:34 09:48 14:20 15:35 16:4262 07:17 08:18 09:22 14:46 15:50 16:5160 07:09 08:05 09:02 15:07 16:03 16:5958 07:02 07:54 08:45 15:23 16:14 17:0656 06:55 07:44 08:31 15:37 16:24 17:1354 06:50 07:35 08:19 15:50 16:33 17:1952 06:44 07:28 08:08 16:00 16:41 17:2450 06:39 07:20 07:58 16:10 16:48 17:2945 06:28 07:05 07:38 16:30 17:04 17:4140 06:18 06:52 07:22 16:46 17:17 17:5135 06:09 06:40 07:08 17:00 17:28 17:6030 06:00 06:30 06:56 17:12 17:38 18:0820 05:44 06:12 06:35 17:33 17:57 18:2410 05:28 05:55 06:17 17:51 18:14 18:400 05:12 05:38 06:00 18:08 18:30 18:56-10 04:53 05:20 05:43 18:25 18:48 19:15-20 04:31 05:00 05:25 18:43 19:08 19:37-30 04:03 04:36 05:03 19:05 19:32 20:05-35 03:44 04:21 04:50 19:18 19:47 20:23-40 03:22 04:03 04:36 19:32 20:05 20:46-45 02:52 03:41 04:18 19:50 20:27 21:15-50 02:09 03:12 03:56 20:11 20:55 21:58-52 01:43 02:58 03:46 20:22 21:10 22:24-54 01:04 02:41 03:34 20:34 21:27 23:02-56 : 02:19 03:20 20:47 21:48 :-58 : 01:52 03:04 21:03 22:15 :-60 : 01:09 02:45 21:23 22:56 :

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 : : : : : :70 12:08 13:15 15:25 10:38 11:45 11:4768 13:19 14:26 16:06 09:27 10:34 11:0566 13:56 15:03 16:34 08:50 09:57 10:3764 14:22 15:29 16:55 08:24 09:31 10:1562 14:43 15:49 17:12 08:04 09:10 09:5760 14:60 16:06 17:26 07:47 08:53 09:4358 15:14 16:20 17:38 07:33 08:39 09:3056 15:26 16:32 17:49 07:21 08:27 09:1954 15:37 16:43 17:58 07:10 08:16 09:1052 15:46 16:52 18:06 07:01 08:07 09:0150 15:55 17:00 18:14 06:53 07:58 08:5445 16:13 17:18 18:29 06:35 07:40 08:3740 16:27 17:33 18:42 06:20 07:26 08:2435 16:40 17:45 18:53 06:08 07:13 08:1230 16:51 17:56 19:03 05:57 07:02 08:0220 17:10 18:14 19:19 05:39 06:43 07:4510 17:26 18:30 19:34 05:23 06:27 07:290 17:41 18:45 19:47 05:08 06:12 07:15-10 17:57 19:00 20:01 04:53 05:56 07:01-20 18:13 19:16 20:15 04:37 05:40 06:45-30 18:32 19:35 20:31 04:18 05:21 06:27-35 18:43 19:45 20:41 04:07 05:10 06:17-40 18:56 19:58 20:52 03:55 04:57 06:05-45 19:11 20:12 21:04 03:41 04:42 05:51-50 19:29 20:30 21:20 03:23 04:24 05:34-52 19:38 20:38 21:27 03:15 04:15 05:26-54 19:48 20:48 21:35 03:05 04:05 05:16-56 19:59 20:58 21:44 02:55 03:54 05:06-58 20:11 21:10 21:54 02:43 03:41 04:55-60 20:26 21:24 22:05 02:29 03:27 04:41

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 03:20 03:34 12:03 23:56 11:24 14(99%)2 03:48 04:02 12:04 01:00 12:28 15(100%)3 04:16 04:30 12:04 01:00 13:31 16(97%)

3

January 04, 05 ,06 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10333.2 18007.7 -2326.8 23943.1 -1547.5 23816.4 -1601.2 19140.1 -2231.81 11835.7 19506.7 -2326.6 25444.0 -1548.0 25318.5 -1601.3 20642.3 -2231.82 13338.1 21005.8 -2326.4 26944.9 -1548.4 26820.5 -1601.4 22144.4 -2231.83 14840.6 22504.8 -2326.2 28445.8 -1548.9 28322.6 -1601.5 23646.6 -2231.84 16343.1 24003.9 -2325.9 29946.8 -1549.4 29824.6 -1601.6 25148.7 -2231.85 17845.5 25502.9 -2325.7 31447.7 -1549.8 31326.7 -1601.8 26650.9 -2231.86 19348.0 27002.0 -2325.5 32948.6 -1550.3 32828.7 -1601.9 28153.0 -2231.87 20850.5 28501.0 -2325.3 34449.5 -1550.8 34330.8 -1602.0 29655.2 -2231.88 22352.9 30000.0 -2325.1 35950.4 -1551.2 35832.9 -1602.1 31157.3 -2231.89 23855.4 31459.1 -2324.9 1451.3 -1551.7 1334.9 -1602.2 32659.5 -2231.710 25357.8 32958.1 -2324.7 2952.3 -1552.1 2837.0 -1602.3 34201.6 -2231.711 26900.3 34457.2 -2324.5 4453.2 -1552.6 4339.0 -1602.4 35703.8 -2231.712 28402.8 35956.2 -2324.3 5954.1 -1553.1 5841.1 -1602.5 1205.9 -2231.713 29905.2 1455.3 -2324.1 7455.0 -1553.5 7343.1 -1602.6 2708.1 -2231.714 31407.7 2954.3 -2323.8 8955.9 -1554.0 8845.2 -1602.7 4210.2 -2231.715 32910.2 4453.3 -2323.6 10456.8 -1554.4 10347.2 -1602.9 5712.4 -2231.716 34412.6 5952.4 -2323.4 11957.8 -1554.9 11849.3 -1603.0 7214.5 -2231.717 35915.1 7451.4 -2323.2 13458.7 -1555.4 13351.4 -1603.1 8716.7 -2231.718 1417.6 8950.5 -2323.0 14959.6 -1555.8 14853.4 -1603.2 10218.8 -2231.719 2920.0 10449.5 -2322.7 16500.5 -1556.3 16355.5 -1603.3 11721.0 -2231.720 4422.5 11948.6 -2322.5 18001.4 -1556.7 17857.5 -1603.4 13223.1 -2231.721 5924.9 13447.6 -2322.3 19502.3 -1557.2 19359.6 -1603.5 14725.3 -2231.722 7427.4 14946.7 -2322.1 21003.3 -1557.7 20901.6 -1603.6 16227.4 -2231.723 8929.9 16445.7 -2321.8 22504.2 -1558.1 22403.7 -1603.7 17729.6 -2231.7Mer.pass.:17:02 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10432.3 17944.7 -2321.6 24005.1 -1558.6 23905.8 -1603.8 19231.7 -2231.71 11934.8 19443.8 -2321.4 25506.0 -1559.0 25407.8 -1604.0 20733.9 -2231.72 13437.3 20942.8 -2321.1 27006.9 -1559.5 26909.9 -1604.1 22236.0 -2231.73 14939.7 22441.9 -2320.9 28507.8 -1560.0 28411.9 -1604.2 23738.2 -2231.74 16442.2 23940.9 -2320.7 30008.8 -1600.4 29914.0 -1604.3 25240.3 -2231.75 17944.7 25440.0 -2320.4 31509.7 -1600.9 31416.1 -1604.4 26742.5 -2231.76 19447.1 26939.0 -2320.2 33010.6 -1601.3 32918.1 -1604.5 28244.6 -2231.77 20949.6 28438.1 -2320.0 34511.5 -1601.8 34420.2 -1604.6 29746.8 -2231.78 22452.1 29937.1 -2319.7 012.4 -1602.2 35922.2 -1604.7 31248.9 -2231.79 23954.5 31436.2 -2319.5 1513.3 -1602.7 1424.3 -1604.8 32751.1 -2231.710 25457.0 32935.2 -2319.2 3014.3 -1603.2 2926.3 -1604.9 34253.2 -2231.711 26959.4 34434.3 -2319.0 4515.2 -1603.6 4428.4 -1605.0 35755.4 -2231.712 28501.9 35933.3 -2318.8 6016.1 -1604.1 5930.5 -1605.1 1257.5 -2231.713 30004.4 1432.4 -2318.5 7517.0 -1604.5 7432.5 -1605.3 2759.7 -2231.714 31506.8 2931.4 -2318.3 9017.9 -1605.0 8934.6 -1605.4 4301.8 -2231.715 33009.3 4430.5 -2318.0 10518.8 -1605.4 10436.6 -1605.5 5804.0 -2231.716 34511.8 5929.5 -2317.8 12019.7 -1605.9 11938.7 -1605.6 7306.1 -2231.717 014.2 7428.6 -2317.5 13520.7 -1606.3 13440.8 -1605.7 8808.3 -2231.718 1516.7 8927.6 -2317.3 15021.6 -1606.8 14942.8 -1605.8 10310.4 -2231.719 3019.2 10426.7 -2317.0 16522.5 -1607.3 16444.9 -1605.9 11812.6 -2231.720 4521.6 11925.7 -2316.8 18023.4 -1607.7 17947.0 -1606.0 13314.7 -2231.721 6024.1 13424.8 -2316.5 19524.3 -1608.2 19449.0 -1606.1 14816.9 -2231.722 7526.6 14923.8 -2316.2 21025.2 -1608.6 20951.1 -1606.2 16319.0 -2231.723 9029.0 16422.9 -2316.0 22526.2 -1609.1 22453.1 -1606.3 17821.2 -2231.7Mer.pass.:16:59 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10531.5 17921.9 -2315.7 24027.1 -1609.5 23955.2 -1606.4 19323.3 -2231.71 12033.9 19421.0 -2315.5 25528.0 -1610.0 25457.3 -1606.5 20825.5 -2231.72 13536.4 20920.0 -2315.2 27028.9 -1610.4 26959.3 -1606.7 22327.6 -2231.73 15038.9 22419.1 -2314.9 28529.8 -1610.9 28501.4 -1606.8 23829.8 -2231.74 16541.3 23918.1 -2314.7 30030.7 -1611.3 30003.5 -1606.9 25331.9 -2231.75 18043.8 25417.2 -2314.4 31531.6 -1611.8 31505.5 -1607.0 26834.1 -2231.76 19546.3 26916.2 -2314.1 33032.5 -1612.2 33007.6 -1607.1 28336.2 -2231.77 21048.7 28415.3 -2313.9 34533.5 -1612.7 34509.6 -1607.2 29838.4 -2231.78 22551.2 29914.3 -2313.6 034.4 -1613.1 011.7 -1607.3 31340.5 -2231.69 24053.7 31413.4 -2313.3 1535.3 -1613.6 1513.8 -1607.4 32842.7 -2231.610 25556.1 32912.4 -2313.1 3036.2 -1614.0 3015.8 -1607.5 34344.8 -2231.611 27058.6 34411.5 -2312.8 4537.1 -1614.5 4517.9 -1607.6 35847.0 -2231.612 28601.0 35910.5 -2312.5 6038.0 -1615.0 6020.0 -1607.7 1349.1 -2231.613 30103.5 1409.6 -2312.2 7538.9 -1615.4 7522.0 -1607.8 2851.3 -2231.614 31606.0 2908.6 -2312.0 9039.9 -1615.9 9024.1 -1607.9 4353.4 -2231.615 33108.4 4407.7 -2311.7 10540.8 -1616.3 10526.2 -1608.0 5855.6 -2231.616 34610.9 5906.8 -2311.4 12041.7 -1616.8 12028.2 -1608.2 7357.7 -2231.617 113.4 7405.8 -2311.1 13542.6 -1617.2 13530.3 -1608.3 8859.9 -2231.618 1615.8 8904.9 -2310.8 15043.5 -1617.7 15032.3 -1608.4 10402.0 -2231.619 3118.3 10403.9 -2310.6 16544.4 -1618.1 16534.4 -1608.5 11904.2 -2231.620 4620.8 11903.0 -2310.3 18045.3 -1618.6 18036.5 -1608.6 13406.3 -2231.621 6123.2 13402.0 -2310.0 19546.2 -1619.0 19538.5 -1608.7 14908.5 -2231.622 7625.7 14901.1 -2309.7 21047.2 -1619.5 21040.6 -1608.8 16410.6 -2231.623 9128.2 16400.1 -2309.4 22548.1 -1619.9 22542.7 -1608.9 17912.8 -2231.6Mer.pass.:16:55 v-0.9 d0.3 m-3.8 v0.9 d-0.5 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.5Ankaa 35312.7 -4212.8

Schedar 34936.9 5638.3Diphda 34852.7 -1753.5

Achernar 33524.4 -5709.2Hamal 32757.2 2332.8Polaris 31607.8 8920.6Akamar 31515.8 -4014.3Menkar 31411.6 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.5 1632.6Rigel 28108.8 -811.1

Capella 28029.4 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.5

Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.7 -4330.3

Miaplacidus 22138.1 -6947.3Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

Denebola 18230.4 1428.2Gienah 17549.0 -1738.4Acrux 17305.7 -6311.5

Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.6 -6027.2

Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

Rigil Kent. 13947.8 -6054.1Zubenelg. 13702.2 -1606.8Kochab 13720.8 7404.8

Alphecca 12608.7 2639.3Antares 11222.8 -2628.0

Atria 10722.3 -6903.2Sabik 10209.3 -1544.6

Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

Enif 3344.4 957.5Alnair 2740.3 -4652.6

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.2

2018/1/4 SHA Mer.passVenus 7634.5 12:00Mars 13609.9 08:01

Jupiter 13443.2 08:06Saturn 8806.9 11:12

2018/1/5 SHA Mer.passVenus 7512.4 12:02Mars 13532.8 07:59

Jupiter 13433.4 08:03Saturn 8759.4 11:08

2018/1/6 SHA Mer.passVenus 7350.4 12:03Mars 13455.6 07:58

Jupiter 13423.7 07:59Saturn 8751.8 11:05

Horizontal paralaxVenus: 0.1Mars: 0.1

4

2018 January 04 to Jan. 06

h Sun MoonThu GHA Dec GHA Dec d HP0 17849.2 -2244.6 33050.5 5.0 1712.6 -6.8 60.81 19348.9 -2244.4 34514.6 5.1 1705.8 -6.9 60.72 20848.6 -2244.1 35938.7 5.2 1658.8 -7.0 60.73 22348.4 -2243.9 1402.9 5.3 1651.8 -7.1 60.74 23848.1 -2243.6 2827.2 5.3 1644.6 -7.2 60.65 25347.8 -2243.3 4251.6 5.4 1637.3 -7.3 60.66 26847.5 -2243.1 5716.1 5.5 1629.9 -7.4 60.67 28347.2 -2242.8 7140.7 5.6 1622.5 -7.5 60.68 29846.9 -2242.5 8605.3 5.7 1614.9 -7.6 60.59 31346.7 -2242.3 10030.1 5.8 1607.2 -7.7 60.510 32846.4 -2242.0 11454.9 5.9 1559.4 -7.8 60.511 34346.1 -2241.8 12919.9 6.0 1551.5 -7.9 60.412 35845.8 -2241.5 14344.9 6.1 1543.5 -8.0 60.413 1345.5 -2241.2 15810.0 6.2 1535.4 -8.1 60.414 2845.3 -2240.9 17235.2 6.3 1527.2 -8.2 60.315 4345.0 -2240.7 18700.5 6.3 1518.9 -8.3 60.316 5844.7 -2240.4 20125.9 6.4 1510.5 -8.4 60.317 7344.4 -2240.1 21551.4 6.5 1502.1 -8.5 60.218 8844.1 -2239.9 23016.9 6.6 1453.5 -8.6 60.219 10343.9 -2239.6 24442.6 6.7 1444.9 -8.7 60.220 11843.6 -2239.3 25908.4 6.8 1436.1 -8.8 60.121 13343.3 -2239.0 27334.2 6.9 1427.3 -8.9 60.122 14843.0 -2238.8 28800.2 7.0 1418.4 -8.9 60.123 16342.7 -2238.5 30226.2 7.1 1409.5 -9.0 60.0

SD.=16.3 d=0.3 S.D.=16.6

Fri GHA Dec GHA Dec d HP0 17842.5 -2238.2 31652.4 7.2 1400.4 -9.1 60.01 19342.2 -2237.9 33118.6 7.3 1351.3 -9.2 60.02 20841.9 -2237.7 34545.0 7.4 1342.1 -9.2 59.93 22341.6 -2237.4 011.4 7.5 1332.8 -9.3 59.94 23841.3 -2237.1 1437.9 7.6 1323.4 -9.4 59.85 25341.1 -2236.8 2904.5 7.7 1314.0 -9.5 59.86 26840.8 -2236.6 4331.2 7.8 1304.5 -9.5 59.87 28340.5 -2236.3 5758.0 7.8 1254.9 -9.6 59.78 29840.2 -2236.0 7224.9 7.9 1245.3 -9.7 59.79 31339.9 -2235.7 8651.9 8.0 1235.6 -9.7 59.710 32839.7 -2235.4 10119.0 8.1 1225.8 -9.8 59.611 34339.4 -2235.1 11546.2 8.2 1216.0 -9.9 59.612 35839.1 -2234.9 13013.4 8.3 1206.1 -9.9 59.513 1338.8 -2234.6 14440.8 8.4 1156.1 -10.0 59.514 2838.6 -2234.3 15908.2 8.5 1146.1 -10.0 59.515 4338.3 -2234.0 17335.8 8.6 1136.1 -10.1 59.416 5838.0 -2233.7 18803.4 8.7 1125.9 -10.1 59.417 7337.7 -2233.4 20231.1 8.8 1115.8 -10.2 59.318 8837.5 -2233.1 21658.9 8.9 1105.5 -10.3 59.319 10337.2 -2232.8 23126.8 8.9 1055.3 -10.3 59.320 11836.9 -2232.5 24554.8 9.0 1044.9 -10.4 59.221 13336.6 -2232.2 26022.9 9.1 1034.6 -10.4 59.222 14836.4 -2232.0 27451.0 9.2 1024.1 -10.4 59.123 16336.1 -2231.7 28919.3 9.3 1013.7 -10.5 59.1

SD.=16.3 d=0.3 S.D.=16.4

Sat GHA Dec GHA Dec d HP0 17835.8 -2231.4 30347.6 9.4 1003.1 -10.5 59.11 19335.5 -2231.1 31816.1 9.5 952.6 -10.6 59.02 20835.3 -2230.8 33244.6 9.6 942.0 -10.6 59.03 22335.0 -2230.5 34713.2 9.6 931.4 -10.7 58.94 23834.7 -2230.2 141.8 9.7 920.7 -10.7 58.95 25334.4 -2229.9 1610.6 9.8 910.0 -10.7 58.96 26834.2 -2229.6 3039.4 9.9 859.2 -10.8 58.87 28333.9 -2229.3 4508.4 10.0 848.4 -10.8 58.88 29833.6 -2229.0 5937.4 10.0 837.6 -10.8 58.79 31333.3 -2228.7 7406.5 10.1 826.8 -10.9 58.710 32833.1 -2228.4 8835.6 10.2 815.9 -10.9 58.711 34332.8 -2228.1 10304.9 10.3 805.0 -10.9 58.612 35832.5 -2227.8 11734.2 10.4 754.0 -11.0 58.613 1332.2 -2227.5 13203.6 10.4 743.1 -11.0 58.514 2832.0 -2227.2 14633.1 10.5 732.1 -11.0 58.515 4331.7 -2226.9 16102.7 10.6 721.1 -11.0 58.516 5831.4 -2226.5 17532.3 10.7 710.0 -11.1 58.417 7331.2 -2226.2 19002.0 10.7 659.0 -11.1 58.418 8830.9 -2225.9 20431.8 10.8 647.9 -11.1 58.319 10330.6 -2225.6 21901.6 10.9 636.8 -11.1 58.320 11830.3 -2225.3 23331.6 11.0 625.6 -11.1 58.221 13330.1 -2225.0 24801.6 11.0 614.5 -11.1 58.222 14829.8 -2224.7 26231.6 11.1 603.3 -11.2 58.223 16329.5 -2224.4 27701.8 11.2 552.2 -11.2 58.1

SD.=16.3 d=0.3 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:19 10:30 : : 13:42 15:5270 08:01 09:43 : : 14:29 16:1068 07:47 09:12 11:29 12:42 14:59 16:2466 07:35 08:49 10:20 13:51 15:22 16:3664 07:25 08:31 09:45 14:27 15:40 16:4662 07:16 08:17 09:19 14:52 15:55 16:5560 07:08 08:04 08:60 15:12 16:07 17:0358 07:01 07:53 08:43 15:28 16:18 17:1056 06:55 07:43 08:30 15:41 16:28 17:1654 06:49 07:35 08:18 15:53 16:36 17:2252 06:44 07:27 08:07 16:04 16:44 17:2750 06:39 07:20 07:58 16:13 16:51 17:3245 06:28 07:05 07:38 16:33 17:06 17:4340 06:18 06:52 07:22 16:49 17:19 17:5335 06:09 06:41 07:08 17:02 17:30 18:0230 06:01 06:30 06:57 17:14 17:40 18:1020 05:45 06:12 06:36 17:35 17:58 18:2610 05:30 05:56 06:18 17:52 18:15 18:410 05:13 05:39 06:02 18:09 18:31 18:58-10 04:55 05:22 05:45 18:26 18:49 19:16-20 04:33 05:02 05:26 18:44 19:09 19:38-30 04:05 04:38 05:05 19:05 19:32 20:05-35 03:47 04:23 04:53 19:18 19:47 20:23-40 03:25 04:06 04:38 19:32 20:04 20:45-45 02:56 03:44 04:21 19:49 20:26 21:14-50 02:14 03:16 03:60 20:11 20:54 21:56-52 01:49 03:02 03:49 20:21 21:08 22:20-54 01:13 02:45 03:38 20:32 21:25 22:56-56 : 02:25 03:24 20:46 21:45 :-58 : 01:58 03:09 21:01 22:11 :-60 : 01:19 02:50 21:20 22:49 :

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 16:57 19:12 21:12 12:21 12:02 11:4970 17:32 19:30 21:21 11:45 11:41 11:3868 17:56 19:45 21:28 11:19 11:25 11:2866 18:15 19:57 21:35 10:59 11:12 11:2164 18:30 20:07 21:40 10:43 11:01 11:1462 18:43 20:15 21:44 10:30 10:52 11:0860 18:54 20:22 21:48 10:18 10:44 11:0358 19:03 20:28 21:51 10:08 10:37 10:5956 19:11 20:34 21:54 09:60 10:30 10:5554 19:18 20:39 21:57 09:52 10:25 10:5252 19:25 20:43 21:60 09:45 10:20 10:4850 19:31 20:47 22:02 09:38 10:15 10:4545 19:43 20:56 22:07 09:25 10:05 10:3940 19:54 21:03 22:11 09:14 09:56 10:3435 20:02 21:10 22:14 09:04 09:49 10:2930 20:10 21:15 22:17 08:55 09:43 10:2520 20:23 21:25 22:22 08:41 09:32 10:1810 20:35 21:33 22:27 08:28 09:22 10:110 20:46 21:41 22:31 08:16 09:12 10:05-10 20:57 21:48 22:36 08:03 09:03 09:59-20 21:08 21:56 22:40 07:50 08:53 09:53-30 21:21 22:06 22:46 07:35 08:41 09:45-35 21:29 22:11 22:49 07:26 08:35 09:41-40 21:38 22:17 22:52 07:16 08:27 09:36-45 21:48 22:24 22:56 07:04 08:18 09:30-50 21:60 22:33 23:01 06:50 08:07 09:23-52 22:05 22:37 23:03 06:43 08:02 09:20-54 22:12 22:41 23:05 06:35 07:56 09:16-56 22:19 22:46 23:08 06:27 07:50 09:12-58 22:26 22:51 23:11 06:17 07:43 09:08-60 22:35 22:57 23:14 06:06 07:35 09:03

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 04:43 04:57 12:04 02:01 14:30 17(92%)5 05:10 05:24 12:05 02:59 15:26 18(84%)6 05:37 05:50 12:05 03:52 16:18 19(75%)

5

January 07, 08 ,09 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10630.6 17859.2 -2309.1 24049.0 -1620.4 24044.7 -1609.0 19414.9 -2231.61 12133.1 19358.3 -2308.8 25549.9 -1620.8 25546.8 -1609.1 20917.1 -2231.62 13635.5 20857.3 -2308.5 27050.8 -1621.3 27048.9 -1609.2 22419.2 -2231.63 15138.0 22356.4 -2308.3 28551.7 -1621.7 28550.9 -1609.3 23921.4 -2231.64 16640.5 23855.4 -2308.0 30052.6 -1622.1 30053.0 -1609.4 25423.5 -2231.65 18142.9 25354.5 -2307.7 31553.5 -1622.6 31555.1 -1609.5 26925.7 -2231.66 19645.4 26853.6 -2307.4 33054.4 -1623.0 33057.1 -1609.6 28427.8 -2231.67 21147.9 28352.6 -2307.1 34555.4 -1623.5 34559.2 -1609.7 29930.0 -2231.68 22650.3 29851.7 -2306.8 056.3 -1623.9 101.3 -1609.8 31432.1 -2231.69 24152.8 31350.7 -2306.5 1557.2 -1624.4 1603.3 -1610.0 32934.3 -2231.610 25655.3 32849.8 -2306.2 3058.1 -1624.8 3105.4 -1610.1 34436.4 -2231.611 27157.7 34348.8 -2305.9 4559.0 -1625.3 4607.5 -1610.2 35938.6 -2231.612 28700.2 35847.9 -2305.6 6059.9 -1625.7 6109.5 -1610.3 1440.8 -2231.613 30202.7 1347.0 -2305.3 7600.8 -1626.2 7611.6 -1610.4 2942.9 -2231.614 31705.1 2846.0 -2305.0 9101.7 -1626.6 9113.7 -1610.5 4445.1 -2231.615 33207.6 4345.1 -2304.6 10602.6 -1627.1 10615.8 -1610.6 5947.2 -2231.616 34710.0 5844.2 -2304.3 12103.6 -1627.5 12117.8 -1610.7 7449.4 -2231.617 212.5 7343.2 -2304.0 13604.5 -1628.0 13619.9 -1610.8 8951.5 -2231.618 1715.0 8842.3 -2303.7 15105.4 -1628.4 15122.0 -1610.9 10453.7 -2231.619 3217.4 10341.3 -2303.4 16606.3 -1628.9 16624.0 -1611.0 11955.8 -2231.620 4719.9 11840.4 -2303.1 18107.2 -1629.3 18126.1 -1611.1 13458.0 -2231.621 6222.4 13339.5 -2302.8 19608.1 -1629.7 19628.2 -1611.2 15000.1 -2231.622 7724.8 14838.5 -2302.5 21109.0 -1630.2 21130.2 -1611.3 16502.3 -2231.523 9227.3 16337.6 -2302.1 22609.9 -1630.6 22632.3 -1611.4 18004.4 -2231.5Mer.pass.:16:51 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10729.8 17836.6 -2301.8 24110.8 -1631.1 24134.4 -1611.5 19506.6 -2231.51 12232.2 19335.7 -2301.5 25611.7 -1631.5 25636.5 -1611.6 21008.7 -2231.52 13734.7 20834.8 -2301.2 27112.7 -1632.0 27138.5 -1611.7 22510.9 -2231.53 15237.1 22333.8 -2300.9 28613.6 -1632.4 28640.6 -1611.8 24013.0 -2231.54 16739.6 23832.9 -2300.5 30114.5 -1632.9 30142.7 -1611.9 25515.2 -2231.55 18242.1 25332.0 -2300.2 31615.4 -1633.3 31644.7 -1612.0 27017.3 -2231.56 19744.5 26831.0 -2259.9 33116.3 -1633.7 33146.8 -1612.1 28519.5 -2231.57 21247.0 28330.1 -2259.6 34617.2 -1634.2 34648.9 -1612.3 30021.6 -2231.58 22749.5 29829.2 -2259.2 118.1 -1634.6 150.9 -1612.4 31523.8 -2231.59 24251.9 31328.2 -2258.9 1619.0 -1635.1 1653.0 -1612.5 33025.9 -2231.510 25754.4 32827.3 -2258.6 3119.9 -1635.5 3155.1 -1612.6 34528.1 -2231.511 27256.9 34326.4 -2258.2 4620.8 -1635.9 4657.2 -1612.7 030.3 -2231.512 28759.3 35825.4 -2257.9 6121.7 -1636.4 6159.2 -1612.8 1532.4 -2231.513 30301.8 1324.5 -2257.6 7622.7 -1636.8 7701.3 -1612.9 3034.6 -2231.514 31804.3 2823.6 -2257.2 9123.6 -1637.3 9203.4 -1613.0 4536.7 -2231.515 33306.7 4322.6 -2256.9 10624.5 -1637.7 10705.5 -1613.1 6038.9 -2231.516 34809.2 5821.7 -2256.6 12125.4 -1638.2 12207.5 -1613.2 7541.0 -2231.517 311.6 7320.8 -2256.2 13626.3 -1638.6 13709.6 -1613.3 9043.2 -2231.518 1814.1 8819.8 -2255.9 15127.2 -1639.0 15211.7 -1613.4 10545.3 -2231.519 3316.6 10318.9 -2255.5 16628.1 -1639.5 16713.8 -1613.5 12047.5 -2231.520 4819.0 11818.0 -2255.2 18129.0 -1639.9 18215.8 -1613.6 13549.6 -2231.521 6321.5 13317.0 -2254.8 19629.9 -1640.4 19717.9 -1613.7 15051.8 -2231.522 7824.0 14816.1 -2254.5 21130.8 -1640.8 21220.0 -1613.8 16553.9 -2231.523 9326.4 16315.2 -2254.2 22631.7 -1641.2 22722.0 -1613.9 18056.1 -2231.5Mer.pass.:16:47 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10828.9 17814.2 -2253.8 24132.6 -1641.7 24224.1 -1614.0 19558.2 -2231.51 12331.4 19313.3 -2253.5 25633.5 -1642.1 25726.2 -1614.1 21100.4 -2231.52 13833.8 20812.4 -2253.1 27134.5 -1642.6 27228.3 -1614.2 22602.5 -2231.53 15336.3 22311.5 -2252.8 28635.4 -1643.0 28730.3 -1614.3 24104.7 -2231.54 16838.7 23810.5 -2252.4 30136.3 -1643.4 30232.4 -1614.4 25606.8 -2231.55 18341.2 25309.6 -2252.0 31637.2 -1643.9 31734.5 -1614.5 27109.0 -2231.56 19843.7 26808.7 -2251.7 33138.1 -1644.3 33236.6 -1614.6 28611.2 -2231.47 21346.1 28307.7 -2251.3 34639.0 -1644.8 34738.7 -1614.7 30113.3 -2231.48 22848.6 29806.8 -2251.0 139.9 -1645.2 240.7 -1614.8 31615.5 -2231.49 24351.1 31305.9 -2250.6 1640.8 -1645.6 1742.8 -1614.9 33117.6 -2231.410 25853.5 32805.0 -2250.3 3141.7 -1646.1 3244.9 -1615.0 34619.8 -2231.411 27356.0 34304.0 -2249.9 4642.6 -1646.5 4747.0 -1615.1 121.9 -2231.412 28858.5 35803.1 -2249.5 6143.5 -1646.9 6249.0 -1615.2 1624.1 -2231.413 30400.9 1302.2 -2249.2 7644.4 -1647.4 7751.1 -1615.3 3126.2 -2231.414 31903.4 2801.3 -2248.8 9145.3 -1647.8 9253.2 -1615.4 4628.4 -2231.415 33405.9 4300.3 -2248.4 10646.2 -1648.3 10755.3 -1615.5 6130.5 -2231.416 34908.3 5759.4 -2248.1 12147.1 -1648.7 12257.3 -1615.6 7632.7 -2231.417 410.8 7258.5 -2247.7 13648.1 -1649.1 13759.4 -1615.7 9134.8 -2231.418 1913.2 8757.6 -2247.3 15149.0 -1649.6 15301.5 -1615.8 10637.0 -2231.419 3415.7 10256.6 -2247.0 16649.9 -1650.0 16803.6 -1615.9 12139.2 -2231.420 4918.2 11755.7 -2246.6 18150.8 -1650.4 18305.7 -1616.0 13641.3 -2231.421 6420.6 13254.8 -2246.2 19651.7 -1650.9 19807.7 -1616.1 15143.5 -2231.422 7923.1 14753.9 -2245.8 21152.6 -1651.3 21309.8 -1616.2 16645.6 -2231.423 9425.6 16252.9 -2245.5 22653.5 -1651.7 22811.9 -1616.3 18147.8 -2231.4Mer.pass.:16:43 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.5Ankaa 35312.8 -4212.8

Schedar 34937.0 5638.3Diphda 34852.7 -1753.5

Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31609.1 8920.6Akamar 31515.8 -4014.4Menkar 31411.6 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.4 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.7 -4330.3

Miaplacidus 22138.1 -6947.4Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

Denebola 18230.3 1428.2Gienah 17549.0 -1738.4Acrux 17305.6 -6311.6

Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.6 -6027.2

Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

Rigil Kent. 13947.7 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.8 7404.7

Alphecca 12608.7 2639.3Antares 11222.7 -2628.0

Atria 10722.2 -6903.2Sabik 10209.3 -1544.6

Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

Enif 3344.4 957.5Alnair 2740.3 -4652.6

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

2018/1/7 SHA Mer.passVenus 7228.6 12:05Mars 13418.4 07:56

Jupiter 13414.1 07:56Saturn 8744.3 11:01

2018/1/8 SHA Mer.passVenus 7106.9 12:06Mars 13341.1 07:55

Jupiter 13404.6 07:53Saturn 8736.8 10:58

2018/1/9 SHA Mer.passVenus 6945.4 12:08Mars 13303.7 07:53

Jupiter 13355.2 07:49Saturn 8729.3 10:55

Horizontal paralaxVenus: 0.1Mars: 0.1

6

2018 January 07 to Jan. 09

h Sun MoonSun GHA Dec GHA Dec d HP0 17829.3 -2224.1 29132.0 11.2 541.0 -11.2 58.11 19329.0 -2223.7 30602.3 11.3 529.8 -11.2 58.02 20828.7 -2223.4 32032.6 11.4 518.6 -11.2 58.03 22328.4 -2223.1 33503.0 11.4 507.3 -11.2 58.04 23828.2 -2222.8 34933.5 11.5 456.1 -11.2 57.95 25327.9 -2222.5 404.0 11.6 444.9 -11.2 57.96 26827.6 -2222.2 1834.6 11.6 433.6 -11.3 57.87 28327.4 -2221.9 3305.3 11.7 422.4 -11.3 57.88 29827.1 -2221.5 4736.0 11.8 411.1 -11.3 57.89 31326.8 -2221.2 6206.8 11.8 359.8 -11.3 57.710 32826.6 -2220.9 7637.7 11.9 348.5 -11.3 57.711 34326.3 -2220.6 9108.6 11.9 337.3 -11.3 57.612 35826.0 -2220.2 10539.6 12.0 326.0 -11.3 57.613 1325.8 -2219.9 12010.6 12.1 314.7 -11.3 57.614 2825.5 -2219.6 13441.7 12.1 303.4 -11.3 57.515 4325.2 -2219.3 14912.8 12.2 252.2 -11.3 57.516 5825.0 -2218.9 16344.0 12.2 240.9 -11.3 57.417 7324.7 -2218.6 17815.2 12.3 229.6 -11.3 57.418 8824.4 -2218.3 19246.5 12.3 218.3 -11.3 57.419 10324.2 -2218.0 20717.9 12.4 207.1 -11.3 57.320 11823.9 -2217.6 22149.3 12.4 155.8 -11.3 57.321 13323.6 -2217.3 23620.7 12.5 144.6 -11.3 57.222 14823.4 -2217.0 25052.2 12.5 133.3 -11.2 57.223 16323.1 -2216.7 26523.8 12.6 122.1 -11.2 57.2

SD.=16.3 d=0.3 S.D.=15.8

Mon GHA Dec GHA Dec d HP0 17822.8 -2216.3 27955.4 12.6 110.8 -11.2 57.11 19322.6 -2216.0 29427.0 12.7 059.6 -11.2 57.12 20822.3 -2215.7 30858.7 12.7 048.4 -11.2 57.13 22322.0 -2215.3 32330.4 12.8 037.2 -11.2 57.04 23821.8 -2215.0 33802.2 12.8 026.0 -11.2 57.05 25321.5 -2214.7 35234.0 12.8 014.9 -11.2 56.96 26821.2 -2214.3 705.9 12.9 003.7 -11.2 56.97 28321.0 -2214.0 2137.8 12.9 -007.4 -11.1 56.98 29820.7 -2213.6 3609.7 13.0 -018.6 -11.1 56.89 31320.4 -2213.3 5041.7 13.0 -029.7 -11.1 56.810 32820.2 -2213.0 6513.7 13.0 -040.8 -11.1 56.811 34319.9 -2212.6 7945.8 13.1 -051.9 -11.1 56.712 35819.7 -2212.3 9417.9 13.1 -102.9 -11.1 56.713 1319.4 -2211.9 10850.0 13.1 -114.0 -11.0 56.614 2819.1 -2211.6 12322.2 13.2 -125.0 -11.0 56.615 4318.9 -2211.3 13754.4 13.2 -136.0 -11.0 56.616 5818.6 -2210.9 15226.6 13.2 -147.0 -11.0 56.517 7318.3 -2210.6 16658.8 13.3 -157.9 -10.9 56.518 8818.1 -2210.2 18131.1 13.3 -208.9 -10.9 56.519 10317.8 -2209.9 19603.5 13.3 -219.8 -10.9 56.420 11817.6 -2209.5 21035.8 13.4 -230.7 -10.9 56.421 13317.3 -2209.2 22508.2 13.4 -241.5 -10.8 56.422 14817.0 -2208.8 23940.6 13.4 -252.3 -10.8 56.323 16316.8 -2208.5 25413.0 13.4 -303.2 -10.8 56.3

SD.=16.3 d=0.3 S.D.=15.6

Tue GHA Dec GHA Dec d HP0 17816.5 -2208.1 26845.5 13.5 -313.9 -10.8 56.31 19316.3 -2207.8 28318.0 13.5 -324.7 -10.7 56.22 20816.0 -2207.4 29750.5 13.5 -335.4 -10.7 56.23 22315.7 -2207.1 31223.0 13.5 -346.1 -10.7 56.24 23815.5 -2206.7 32655.6 13.6 -356.8 -10.7 56.15 25315.2 -2206.4 34128.2 13.6 -407.4 -10.6 56.16 26815.0 -2206.0 35600.8 13.6 -418.0 -10.6 56.17 28314.7 -2205.7 1033.4 13.6 -428.6 -10.6 56.08 29814.4 -2205.3 2506.0 13.6 -439.2 -10.5 56.09 31314.2 -2205.0 3938.7 13.7 -449.7 -10.5 56.010 32813.9 -2204.6 5411.3 13.7 -500.1 -10.5 55.911 34313.7 -2204.2 6844.0 13.7 -510.6 -10.4 55.912 35813.4 -2203.9 8316.7 13.7 -521.0 -10.4 55.913 1313.2 -2203.5 9749.5 13.7 -531.4 -10.4 55.814 2812.9 -2203.2 11222.2 13.7 -541.7 -10.3 55.815 4312.6 -2202.8 12655.0 13.8 -552.0 -10.3 55.816 5812.4 -2202.4 14127.7 13.8 -602.3 -10.2 55.817 7312.1 -2202.1 15600.5 13.8 -612.5 -10.2 55.718 8811.9 -2201.7 17033.3 13.8 -622.7 -10.2 55.719 10311.6 -2201.4 18506.1 13.8 -632.9 -10.1 55.720 11811.4 -2201.0 19938.9 13.8 -643.0 -10.1 55.621 13311.1 -2200.6 21411.7 13.8 -653.0 -10.1 55.622 14810.9 -2200.3 22844.5 13.8 -703.1 -10.0 55.623 16310.6 -2159.9 24317.4 13.8 -713.1 -10.0 55.6

SD.=16.3 d=0.4 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:15 10:19 : : 13:55 15:5970 07:58 09:36 : : 14:38 16:1668 07:44 09:08 11:09 13:05 15:06 16:3066 07:32 08:46 10:13 14:01 15:28 16:4164 07:23 08:29 09:40 14:34 15:45 16:5162 07:14 08:14 09:16 14:58 15:60 16:6060 07:07 08:02 08:57 15:17 16:12 17:0758 06:60 07:51 08:41 15:33 16:22 17:1456 06:54 07:42 08:28 15:46 16:32 17:2054 06:48 07:34 08:16 15:58 16:40 17:2652 06:43 07:26 08:06 16:08 16:48 17:3150 06:38 07:19 07:57 16:17 16:54 17:3545 06:28 07:04 07:38 16:36 17:09 17:4640 06:18 06:52 07:22 16:52 17:22 17:5635 06:09 06:41 07:09 17:05 17:33 18:0430 06:01 06:31 06:57 17:17 17:43 18:1220 05:46 06:13 06:37 17:37 18:00 18:2810 05:31 05:57 06:19 17:54 18:17 18:430 05:15 05:41 06:03 18:10 18:33 18:59-10 04:57 05:24 05:46 18:27 18:50 19:17-20 04:35 05:04 05:28 18:45 19:09 19:38-30 04:08 04:41 05:08 19:06 19:33 20:05-35 03:50 04:26 04:55 19:18 19:47 20:23-40 03:28 04:09 04:41 19:32 20:04 20:44-45 03:00 03:48 04:24 19:49 20:25 21:13-50 02:19 03:20 04:03 20:09 20:52 21:53-52 01:56 03:07 03:53 20:19 21:06 22:16-54 01:22 02:50 03:42 20:31 21:22 22:48-56 : 02:31 03:29 20:44 21:41 :-58 : 02:06 03:14 20:59 22:06 :-60 : 01:30 02:55 21:17 22:41 :

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 23:03 : 00:50 11:38 11:29 11:1970 23:05 : 00:45 11:34 11:30 11:2668 23:07 : 00:41 11:30 11:31 11:3266 23:08 : 00:37 11:27 11:32 11:3764 23:09 : 00:35 11:24 11:33 11:4162 23:10 : 00:32 11:22 11:34 11:4560 23:10 : 00:30 11:20 11:34 11:4958 23:11 : 00:28 11:18 11:35 11:5156 23:12 : 00:26 11:16 11:35 11:5454 23:12 : 00:25 11:15 11:36 11:5652 23:13 : 00:23 11:13 11:36 11:5950 23:13 : 00:22 11:12 11:37 12:0145 23:14 : 00:19 11:09 11:38 12:0540 23:15 : 00:17 11:07 11:38 12:0835 23:16 : 00:15 11:05 11:39 12:1230 23:16 : 00:13 11:03 11:39 12:1420 23:18 : 00:11 11:00 11:40 12:1910 23:19 : 00:08 10:57 11:41 12:230 23:20 : 00:06 10:55 11:42 12:27-10 23:20 : 00:03 10:52 11:42 12:31-20 23:22 : 00:01 10:49 11:43 12:35-30 23:23 23:58 : 10:46 11:44 12:40-35 23:23 23:56 : 10:44 11:45 12:43-40 23:24 23:55 : 10:42 11:45 12:46-45 23:25 23:53 : 10:39 11:46 12:50-50 23:26 23:50 : 10:36 11:46 12:54-52 23:27 23:49 : 10:35 11:47 12:56-54 23:27 23:48 : 10:33 11:47 12:58-56 23:28 23:46 : 10:32 11:48 13:01-58 23:28 23:45 : 10:30 11:48 13:04-60 23:29 23:43 23:58 10:27 11:49 13:07

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 06:03 06:16 12:06 04:43 17:07 20(65%)8 06:29 06:41 12:06 05:30 17:53 21(55%)9 06:54 07:06 12:07 06:16 18:38 22(44%)

7

January 10, 11 ,12 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10928.0 17752.0 -2245.1 24154.4 -1652.2 24314.0 -1616.4 19649.9 -2231.41 12430.5 19251.1 -2244.7 25655.3 -1652.6 25816.1 -1616.6 21152.1 -2231.42 13933.0 20750.2 -2244.3 27156.2 -1653.0 27318.1 -1616.7 22654.2 -2231.43 15435.4 22249.3 -2243.9 28657.1 -1653.5 28820.2 -1616.8 24156.4 -2231.44 16937.9 23748.3 -2243.6 30158.0 -1653.9 30322.3 -1616.9 25658.5 -2231.45 18440.4 25247.4 -2243.2 31658.9 -1654.3 31824.4 -1617.0 27200.7 -2231.46 19942.8 26746.5 -2242.8 33159.8 -1654.8 33326.5 -1617.1 28702.8 -2231.47 21445.3 28245.6 -2242.4 34700.7 -1655.2 34828.5 -1617.2 30205.0 -2231.48 22947.7 29744.7 -2242.0 201.6 -1655.6 330.6 -1617.3 31707.2 -2231.49 24450.2 31243.7 -2241.6 1702.5 -1656.1 1832.7 -1617.4 33209.3 -2231.410 25952.7 32742.8 -2241.2 3203.4 -1656.5 3334.8 -1617.5 34711.5 -2231.411 27455.1 34241.9 -2240.8 4704.3 -1656.9 4836.9 -1617.6 213.6 -2231.312 28957.6 35741.0 -2240.5 6205.3 -1657.4 6338.9 -1617.7 1715.8 -2231.313 30500.1 1240.1 -2240.1 7706.2 -1657.8 7841.0 -1617.8 3217.9 -2231.314 32002.5 2739.1 -2239.7 9207.1 -1658.2 9343.1 -1617.9 4720.1 -2231.315 33505.0 4238.2 -2239.3 10708.0 -1658.7 10845.2 -1618.0 6222.2 -2231.316 35007.5 5737.3 -2238.9 12208.9 -1659.1 12347.3 -1618.1 7724.4 -2231.317 509.9 7236.4 -2238.5 13709.8 -1659.5 13849.3 -1618.2 9226.5 -2231.318 2012.4 8735.5 -2238.1 15210.7 -1660.0 15351.4 -1618.3 10728.7 -2231.319 3514.8 10234.6 -2237.7 16711.6 -1700.4 16853.5 -1618.4 12230.9 -2231.320 5017.3 11733.6 -2237.3 18212.5 -1700.8 18355.6 -1618.5 13733.0 -2231.321 6519.8 13232.7 -2236.9 19713.4 -1701.3 19857.7 -1618.6 15235.2 -2231.322 8022.2 14731.8 -2236.5 21214.3 -1701.7 21359.8 -1618.7 16737.3 -2231.323 9524.7 16230.9 -2236.1 22715.2 -1702.1 22901.8 -1618.8 18239.5 -2231.3Mer.pass.:16:39 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11027.2 17730.0 -2235.7 24216.1 -1702.5 24403.9 -1618.9 19741.6 -2231.31 12529.6 19229.1 -2235.3 25717.0 -1703.0 25906.0 -1619.0 21243.8 -2231.32 14032.1 20728.1 -2234.8 27217.9 -1703.4 27408.1 -1619.1 22745.9 -2231.33 15534.6 22227.2 -2234.4 28718.8 -1703.8 28910.2 -1619.2 24248.1 -2231.34 17037.0 23726.3 -2234.0 30219.7 -1704.3 30412.3 -1619.3 25750.2 -2231.35 18539.5 25225.4 -2233.6 31720.6 -1704.7 31914.4 -1619.3 27252.4 -2231.36 20042.0 26724.5 -2233.2 33221.5 -1705.1 33416.4 -1619.4 28754.6 -2231.37 21544.4 28223.6 -2232.8 34722.4 -1705.6 34918.5 -1619.5 30256.7 -2231.38 23046.9 29722.7 -2232.4 223.3 -1706.0 420.6 -1619.6 31758.9 -2231.39 24549.3 31221.8 -2232.0 1724.2 -1706.4 1922.7 -1619.7 33301.0 -2231.310 26051.8 32720.9 -2231.5 3225.1 -1706.8 3424.8 -1619.8 34803.2 -2231.311 27554.3 34219.9 -2231.1 4726.0 -1707.3 4926.9 -1619.9 305.3 -2231.312 29056.7 35719.0 -2230.7 6226.9 -1707.7 6428.9 -1620.0 1807.5 -2231.313 30559.2 1218.1 -2230.3 7727.8 -1708.1 7931.0 -1620.1 3309.6 -2231.214 32101.7 2717.2 -2229.8 9228.7 -1708.5 9433.1 -1620.2 4811.8 -2231.215 33604.1 4216.3 -2229.4 10729.6 -1709.0 10935.2 -1620.3 6314.0 -2231.216 35106.6 5715.4 -2229.0 12230.5 -1709.4 12437.3 -1620.4 7816.1 -2231.217 609.1 7214.5 -2228.6 13731.4 -1709.8 13939.4 -1620.5 9318.3 -2231.218 2111.5 8713.6 -2228.1 15232.3 -1710.3 15441.5 -1620.6 10820.4 -2231.219 3614.0 10212.7 -2227.7 16733.2 -1710.7 16943.6 -1620.7 12322.6 -2231.220 5116.5 11711.8 -2227.3 18234.1 -1711.1 18445.6 -1620.8 13824.7 -2231.221 6618.9 13210.9 -2226.9 19735.0 -1711.5 19947.7 -1620.9 15326.9 -2231.222 8121.4 14709.9 -2226.4 21235.9 -1712.0 21449.8 -1621.0 16829.0 -2231.223 9623.8 16209.0 -2226.0 22736.8 -1712.4 22951.9 -1621.1 18331.2 -2231.2Mer.pass.:16:35 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11126.3 17708.1 -2225.6 24237.7 -1712.8 24454.0 -1621.2 19833.4 -2231.21 12628.8 19207.2 -2225.1 25738.6 -1713.2 25956.1 -1621.3 21335.5 -2231.22 14131.2 20706.3 -2224.7 27239.6 -1713.7 27458.2 -1621.4 22837.7 -2231.23 15633.7 22205.4 -2224.2 28740.5 -1714.1 29000.3 -1621.5 24339.8 -2231.24 17136.2 23704.5 -2223.8 30241.4 -1714.5 30502.4 -1621.6 25842.0 -2231.25 18638.6 25203.6 -2223.4 31742.3 -1714.9 32004.4 -1621.7 27344.1 -2231.26 20141.1 26702.7 -2222.9 33243.2 -1715.3 33506.5 -1621.8 28846.3 -2231.27 21643.6 28201.8 -2222.5 34744.1 -1715.8 35008.6 -1621.9 30348.5 -2231.28 23146.0 29700.9 -2222.0 245.0 -1716.2 510.7 -1622.0 31850.6 -2231.29 24648.5 31160.0 -2221.6 1745.9 -1716.6 2012.8 -1622.1 33352.8 -2231.210 26151.0 32659.1 -2221.1 3246.8 -1717.0 3514.9 -1622.2 34854.9 -2231.211 27653.4 34158.2 -2220.7 4747.7 -1717.5 5017.0 -1622.3 357.1 -2231.212 29155.9 35657.3 -2220.2 6248.6 -1717.9 6519.1 -1622.4 1859.2 -2231.213 30658.3 1156.4 -2219.8 7749.5 -1718.3 8021.2 -1622.5 3401.4 -2231.214 32200.8 2655.5 -2219.3 9250.4 -1718.7 9523.3 -1622.6 4903.5 -2231.115 33703.3 4154.6 -2218.9 10751.3 -1719.2 11025.3 -1622.7 6405.7 -2231.116 35205.7 5653.7 -2218.4 12252.2 -1719.6 12527.4 -1622.8 7907.9 -2231.117 708.2 7152.8 -2218.0 13753.1 -1720.0 14029.5 -1622.9 9410.0 -2231.118 2210.7 8651.9 -2217.5 15254.0 -1720.4 15531.6 -1623.0 10912.2 -2231.119 3713.1 10151.0 -2217.1 16754.9 -1720.8 17033.7 -1623.1 12414.3 -2231.120 5215.6 11650.1 -2216.6 18255.8 -1721.3 18535.8 -1623.2 13916.5 -2231.121 6718.1 13149.2 -2216.1 19756.7 -1721.7 20037.9 -1623.3 15418.6 -2231.122 8220.5 14648.3 -2215.7 21257.6 -1722.1 21540.0 -1623.4 16920.8 -2231.123 9723.0 16147.4 -2215.2 22758.5 -1722.5 23042.1 -1623.4 18423.0 -2231.1Mer.pass.:16:31 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.5Ankaa 35312.8 -4212.8

Schedar 34937.0 5638.3Diphda 34852.7 -1753.5

Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31610.2 8920.6Akamar 31515.8 -4014.4Menkar 31411.7 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

Sirius 25830.6 -1644.5Adara 25509.7 -2900.0

Procyon 24456.1 510.7Pollux 24323.5 2758.8Avior 23416.1 -5934.1Suhail 22249.7 -4330.3

Miaplacidus 22138.1 -6947.4Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.6 6139.0

Denebola 18230.3 1428.2Gienah 17549.0 -1738.4Acrux 17305.6 -6311.6

Gacrux 17157.2 -5712.5Alioth 16618.0 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.5 -6027.2

Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

Rigil Kent. 13947.7 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.7 7404.7

Alphecca 12608.6 2639.3Antares 11222.7 -2628.0

Atria 10722.2 -6903.2Sabik 10209.3 -1544.6

Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

Etamin 9045.2 5129.2Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

Enif 3344.4 957.5Alnair 2740.3 -4652.6

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

2018/1/1 SHA Mer.passVenus 6824.0 12:09Mars 13226.4 07:52

Jupiter 13345.9 07:46Saturn 8721.9 10:51

2018/1/1 SHA Mer.passVenus 6702.8 12:11Mars 13148.9 07:50

Jupiter 13336.8 07:43Saturn 8714.5 10:48

2018/1/1 SHA Mer.passVenus 6541.8 12:12Mars 13111.4 07:49

Jupiter 13327.7 07:39Saturn 8707.0 10:44

Horizontal paralaxVenus: 0.1Mars: 0.1

8

2018 January 10 to Jan. 12

h Sun MoonWed GHA Dec GHA Dec d HP0 17810.3 -2159.5 25750.2 13.8 -723.0 -9.9 55.51 19310.1 -2159.2 27223.1 13.9 -732.9 -9.9 55.52 20809.8 -2158.8 28655.9 13.9 -742.8 -9.8 55.53 22309.6 -2158.4 30128.8 13.9 -752.6 -9.8 55.44 23809.3 -2158.0 31601.6 13.9 -802.4 -9.8 55.45 25309.1 -2157.7 33034.5 13.9 -812.1 -9.7 55.46 26808.8 -2157.3 34507.4 13.9 -821.8 -9.7 55.47 28308.6 -2156.9 35940.3 13.9 -831.4 -9.6 55.38 29808.3 -2156.6 1413.1 13.9 -841.0 -9.6 55.39 31308.1 -2156.2 2846.0 13.9 -850.6 -9.5 55.310 32807.8 -2155.8 4318.9 13.9 -900.1 -9.5 55.311 34307.6 -2155.4 5751.8 13.9 -909.6 -9.4 55.212 35807.3 -2155.1 7224.6 13.9 -919.0 -9.4 55.213 1307.1 -2154.7 8657.5 13.9 -928.3 -9.3 55.214 2806.8 -2154.3 10130.4 13.9 -937.6 -9.3 55.215 4306.5 -2153.9 11603.2 13.9 -946.9 -9.2 55.116 5806.3 -2153.5 13036.1 13.9 -956.1 -9.2 55.117 7306.0 -2153.2 14509.0 13.9 -1005.3 -9.1 55.118 8805.8 -2152.8 15941.8 13.9 -1014.4 -9.1 55.119 10305.5 -2152.4 17414.7 13.8 -1023.4 -9.0 55.020 11805.3 -2152.0 18847.5 13.8 -1032.4 -9.0 55.021 13305.0 -2151.6 20320.4 13.8 -1041.4 -8.9 55.022 14804.8 -2151.2 21753.2 13.8 -1050.3 -8.9 55.023 16304.5 -2150.9 23226.0 13.8 -1059.1 -8.8 55.0

SD.=16.3 d=0.4 S.D.=15.1

Thu GHA Dec GHA Dec d HP0 17804.3 -2150.5 24658.8 13.8 -1107.9 -8.8 54.91 19304.0 -2150.1 26131.6 13.8 -1116.7 -8.7 54.92 20803.8 -2149.7 27604.5 13.8 -1125.4 -8.7 54.93 22303.6 -2149.3 29037.2 13.8 -1134.0 -8.6 54.94 23803.3 -2148.9 30510.0 13.8 -1142.6 -8.5 54.85 25303.1 -2148.5 31942.8 13.8 -1151.1 -8.5 54.86 26802.8 -2148.1 33415.6 13.8 -1159.5 -8.4 54.87 28302.6 -2147.8 34848.3 13.7 -1207.9 -8.4 54.88 29802.3 -2147.4 321.0 13.7 -1216.3 -8.3 54.89 31302.1 -2147.0 1753.8 13.7 -1224.5 -8.3 54.710 32801.8 -2146.6 3226.5 13.7 -1232.8 -8.2 54.711 34301.6 -2146.2 4659.2 13.7 -1240.9 -8.1 54.712 35801.3 -2145.8 6131.9 13.7 -1249.0 -8.1 54.713 1301.1 -2145.4 7604.5 13.7 -1257.1 -8.0 54.714 2800.8 -2145.0 9037.2 13.7 -1305.1 -8.0 54.715 4300.6 -2144.6 10509.8 13.6 -1313.0 -7.9 54.616 5800.3 -2144.2 11942.5 13.6 -1320.8 -7.8 54.617 7300.1 -2143.8 13415.1 13.6 -1328.6 -7.8 54.618 8759.9 -2143.4 14847.7 13.6 -1336.4 -7.7 54.619 10259.6 -2143.0 16320.3 13.6 -1344.0 -7.6 54.620 11759.4 -2142.6 17752.8 13.6 -1351.6 -7.6 54.621 13259.1 -2142.2 19225.4 13.5 -1359.2 -7.5 54.522 14758.9 -2141.8 20657.9 13.5 -1406.7 -7.4 54.523 16258.6 -2141.4 22130.4 13.5 -1414.1 -7.4 54.5

SD.=16.3 d=0.4 S.D.=15.0

Fri GHA Dec GHA Dec d HP0 17758.4 -2141.0 23602.9 13.5 -1421.4 -7.3 54.51 19258.2 -2140.6 25035.4 13.5 -1428.7 -7.2 54.52 20757.9 -2140.2 26507.8 13.4 -1435.9 -7.2 54.53 22257.7 -2139.8 27940.3 13.4 -1443.0 -7.1 54.44 23757.4 -2139.4 29412.7 13.4 -1450.1 -7.0 54.45 25257.2 -2139.0 30845.1 13.4 -1457.1 -7.0 54.46 26756.9 -2138.6 32317.5 13.4 -1504.1 -6.9 54.47 28256.7 -2138.2 33749.9 13.4 -1510.9 -6.8 54.48 29756.5 -2137.8 35222.2 13.3 -1517.7 -6.8 54.49 31256.2 -2137.3 654.5 13.3 -1524.5 -6.7 54.410 32756.0 -2136.9 2126.8 13.3 -1531.1 -6.6 54.311 34255.7 -2136.5 3559.1 13.3 -1537.7 -6.6 54.312 35755.5 -2136.1 5031.4 13.3 -1544.3 -6.5 54.313 1255.3 -2135.7 6503.6 13.2 -1550.7 -6.4 54.314 2755.0 -2135.3 7935.8 13.2 -1557.1 -6.3 54.315 4254.8 -2134.9 9408.0 13.2 -1603.4 -6.3 54.316 5754.5 -2134.5 10840.2 13.2 -1609.6 -6.2 54.317 7254.3 -2134.0 12312.4 13.1 -1615.8 -6.1 54.318 8754.1 -2133.6 13744.5 13.1 -1621.9 -6.0 54.219 10253.8 -2133.2 15216.6 13.1 -1627.9 -6.0 54.220 11753.6 -2132.8 16648.7 13.1 -1633.8 -5.9 54.221 13253.4 -2132.4 18120.8 13.1 -1639.7 -5.8 54.222 14753.1 -2131.9 19552.8 13.0 -1645.4 -5.7 54.223 16252.9 -2131.5 21024.8 13.0 -1651.2 -5.7 54.2

SD.=16.3 d=0.4 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:09 10:08 : : 14:09 16:0770 07:53 09:29 : : 14:48 16:2368 07:40 09:02 10:53 13:24 15:14 16:3666 07:29 08:41 10:05 14:12 15:35 16:4764 07:20 08:25 09:34 14:42 15:52 16:5762 07:12 08:11 09:11 15:05 16:05 17:0560 07:05 07:59 08:53 15:23 16:17 17:1258 06:58 07:49 08:38 15:38 16:27 17:1856 06:52 07:40 08:25 15:51 16:36 17:2454 06:47 07:32 08:14 16:02 16:44 17:2952 06:42 07:25 08:04 16:12 16:52 17:3450 06:37 07:18 07:55 16:21 16:58 17:3945 06:27 07:04 07:37 16:40 17:13 17:4940 06:18 06:51 07:21 16:55 17:25 17:5835 06:09 06:41 07:08 17:08 17:35 18:0730 06:01 06:31 06:57 17:19 17:45 18:1520 05:47 06:14 06:37 17:39 18:02 18:2910 05:32 05:58 06:20 17:56 18:18 18:440 05:16 05:42 06:04 18:12 18:34 18:60-10 04:58 05:25 05:48 18:28 18:51 19:17-20 04:37 05:06 05:30 18:45 19:09 19:38-30 04:11 04:43 05:10 19:05 19:32 20:05-35 03:53 04:29 04:58 19:17 19:46 20:22-40 03:32 04:12 04:44 19:31 20:03 20:43-45 03:05 03:52 04:28 19:47 20:23 21:10-50 02:25 03:25 04:07 20:08 20:50 21:49-52 02:03 03:12 03:58 20:17 21:03 22:11-54 01:33 02:56 03:47 20:28 21:19 22:41-56 00:32 02:37 03:34 20:41 21:37 23:35-58 : 02:13 03:19 20:55 22:00 :-60 : 01:41 03:02 21:13 22:32 :

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 02:35 04:21 06:14 11:08 10:55 10:3670 02:22 03:60 05:38 11:22 11:18 11:1368 02:13 03:43 05:13 11:33 11:35 11:4066 02:04 03:30 04:53 11:43 11:50 11:6064 01:58 03:19 04:38 11:51 12:02 12:1662 01:52 03:09 04:25 11:58 12:12 12:2960 01:47 03:01 04:14 12:04 12:20 12:4158 01:42 02:55 04:04 12:09 12:28 12:5156 01:38 02:48 03:56 12:13 12:35 12:5954 01:35 02:43 03:49 12:18 12:41 13:0752 01:32 02:38 03:42 12:22 12:46 13:1450 01:29 02:33 03:36 12:25 12:51 13:2045 01:22 02:24 03:24 12:33 13:02 13:3440 01:17 02:16 03:13 12:39 13:11 13:4535 01:13 02:09 03:04 12:44 13:19 13:5530 01:09 02:03 02:57 12:49 13:25 14:0320 01:02 01:53 02:43 12:58 13:37 14:1810 00:56 01:44 02:31 13:05 13:47 14:310 00:51 01:35 02:20 13:12 13:57 14:43-10 00:45 01:27 02:10 13:19 14:07 14:55-20 00:39 01:18 01:58 13:27 14:17 15:07-30 00:33 01:08 01:45 13:35 14:29 15:22-35 00:29 01:02 01:37 13:40 14:36 15:31-40 00:25 00:56 01:29 13:46 14:44 15:40-45 00:20 00:48 01:19 13:52 14:53 15:52-50 00:14 00:39 01:07 13:60 15:04 16:06-52 00:11 00:35 01:01 14:04 15:09 16:12-54 00:08 00:30 00:55 14:08 15:15 16:19-56 00:05 00:25 00:48 14:12 15:21 16:28-58 00:02 00:20 00:40 14:17 15:28 16:37-60 : 00:13 00:32 14:23 15:36 16:47

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 07:19 07:31 12:07 07:01 19:23 23(35%)11 07:43 07:55 12:07 07:46 20:08 24(26%)12 08:07 08:18 12:08 08:31 20:54 25(18%)

9

January 13, 14 ,15 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11225.4 17646.5 -2214.8 24259.4 -1722.9 24544.2 -1623.5 19925.1 -2231.11 12727.9 19145.6 -2214.3 25800.3 -1723.4 26046.3 -1623.6 21427.3 -2231.12 14230.4 20644.7 -2213.8 27301.1 -1723.8 27548.4 -1623.7 22929.4 -2231.13 15732.8 22143.8 -2213.4 28802.0 -1724.2 29050.5 -1623.8 24431.6 -2231.14 17235.3 23642.9 -2212.9 30302.9 -1724.6 30552.5 -1623.9 25933.7 -2231.15 18737.8 25142.0 -2212.4 31803.8 -1725.0 32054.6 -1624.0 27435.9 -2231.16 20240.2 26641.1 -2212.0 33304.7 -1725.5 33556.7 -1624.1 28938.1 -2231.17 21742.7 28140.2 -2211.5 34805.6 -1725.9 35058.8 -1624.2 30440.2 -2231.18 23245.2 29639.3 -2211.0 306.5 -1726.3 600.9 -1624.3 31942.4 -2231.19 24747.6 31138.4 -2210.5 1807.4 -1726.7 2103.0 -1624.4 33444.5 -2231.110 26250.1 32637.5 -2210.1 3308.3 -1727.1 3605.1 -1624.5 34946.7 -2231.111 27752.6 34136.7 -2209.6 4809.2 -1727.5 5107.2 -1624.6 448.8 -2231.112 29255.0 35635.8 -2209.1 6310.1 -1728.0 6609.3 -1624.7 1951.0 -2231.113 30757.5 1134.9 -2208.6 7811.0 -1728.4 8111.4 -1624.8 3453.2 -2231.014 32259.9 2634.0 -2208.2 9311.9 -1728.8 9613.5 -1624.9 4955.3 -2231.015 33802.4 4133.1 -2207.7 10812.8 -1729.2 11115.6 -1625.0 6457.5 -2231.016 35304.9 5632.2 -2207.2 12313.7 -1729.6 12617.7 -1625.1 7959.6 -2231.017 807.3 7131.3 -2206.7 13814.6 -1730.0 14119.8 -1625.2 9501.8 -2231.018 2309.8 8630.4 -2206.2 15315.5 -1730.5 15621.9 -1625.3 11004.0 -2231.019 3812.3 10129.5 -2205.7 16816.4 -1730.9 17124.0 -1625.4 12506.1 -2231.020 5314.7 11628.6 -2205.2 18317.3 -1731.3 18626.1 -1625.5 14008.3 -2231.021 6817.2 13127.7 -2204.8 19818.2 -1731.7 20128.2 -1625.5 15510.4 -2231.022 8319.7 14626.9 -2204.3 21319.1 -1732.1 21630.3 -1625.6 17012.6 -2231.023 9822.1 16126.0 -2203.8 22820.0 -1732.5 23132.4 -1625.7 18514.7 -2231.0Mer.pass.:16:27 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11324.6 17625.1 -2203.3 24320.9 -1733.0 24634.5 -1625.8 20016.9 -2231.01 12827.1 19124.2 -2202.8 25821.8 -1733.4 26136.6 -1625.9 21519.1 -2231.02 14329.5 20623.3 -2202.3 27322.7 -1733.8 27638.7 -1626.0 23021.2 -2231.03 15832.0 22122.4 -2201.8 28823.6 -1734.2 29140.8 -1626.1 24523.4 -2231.04 17334.4 23621.5 -2201.3 30324.5 -1734.6 30642.9 -1626.2 26025.5 -2231.05 18836.9 25120.7 -2200.8 31825.4 -1735.0 32145.0 -1626.3 27527.7 -2231.06 20339.4 26619.8 -2200.3 33326.3 -1735.4 33647.1 -1626.4 29029.9 -2231.07 21841.8 28118.9 -2159.8 34827.2 -1735.9 35149.2 -1626.5 30532.0 -2231.08 23344.3 29618.0 -2159.3 328.1 -1736.3 651.3 -1626.6 32034.2 -2231.09 24846.8 31117.1 -2158.8 1829.0 -1736.7 2153.4 -1626.7 33536.3 -2231.010 26349.2 32616.2 -2158.3 3329.9 -1737.1 3655.5 -1626.8 35038.5 -2231.011 27851.7 34115.3 -2157.8 4830.8 -1737.5 5157.6 -1626.9 540.6 -2230.912 29354.2 35614.5 -2157.3 6331.7 -1737.9 6659.7 -1627.0 2042.8 -2230.913 30856.6 1113.6 -2156.8 7832.6 -1738.3 8201.8 -1627.0 3545.0 -2230.914 32359.1 2612.7 -2156.3 9333.5 -1738.7 9703.9 -1627.1 5047.1 -2230.915 33901.6 4111.8 -2155.8 10834.4 -1739.2 11206.0 -1627.2 6549.3 -2230.916 35404.0 5610.9 -2155.3 12335.3 -1739.6 12708.1 -1627.3 8051.4 -2230.917 906.5 7110.1 -2154.8 13836.1 -1740.0 14210.2 -1627.4 9553.6 -2230.918 2408.9 8609.2 -2154.3 15337.0 -1740.4 15712.3 -1627.5 11055.8 -2230.919 3911.4 10108.3 -2153.7 16837.9 -1740.8 17214.4 -1627.6 12557.9 -2230.920 5413.9 11607.4 -2153.2 18338.8 -1741.2 18716.5 -1627.7 14100.1 -2230.921 6916.3 13106.5 -2152.7 19839.7 -1741.6 20218.6 -1627.8 15602.2 -2230.922 8418.8 14605.7 -2152.2 21340.6 -1742.0 21720.7 -1627.9 17104.4 -2230.923 9921.3 16104.8 -2151.7 22841.5 -1742.4 23222.8 -1628.0 18606.6 -2230.9Mer.pass.:16:23 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11423.7 17603.9 -2151.2 24342.4 -1742.9 24724.9 -1628.1 20108.7 -2230.91 12926.2 19103.0 -2150.6 25843.3 -1743.3 26227.0 -1628.2 21610.9 -2230.92 14428.7 20602.1 -2150.1 27344.2 -1743.7 27729.1 -1628.3 23113.0 -2230.93 15931.1 22101.3 -2149.6 28845.1 -1744.1 29231.2 -1628.4 24615.2 -2230.94 17433.6 23600.4 -2149.1 30346.0 -1744.5 30733.3 -1628.4 26117.4 -2230.95 18936.1 25059.5 -2148.5 31846.9 -1744.9 32235.4 -1628.5 27619.5 -2230.96 20438.5 26558.6 -2148.0 33347.8 -1745.3 33737.5 -1628.6 29121.7 -2230.97 21941.0 28057.8 -2147.5 34848.7 -1745.7 35239.6 -1628.7 30623.8 -2230.98 23443.4 29556.9 -2147.0 349.6 -1746.1 741.7 -1628.8 32126.0 -2230.89 24945.9 31056.0 -2146.4 1850.5 -1746.5 2243.8 -1628.9 33628.2 -2230.810 26448.4 32555.1 -2145.9 3351.4 -1746.9 3745.9 -1629.0 35130.3 -2230.811 27950.8 34054.3 -2145.4 4852.3 -1747.3 5248.0 -1629.1 632.5 -2230.812 29453.3 35553.4 -2144.8 6353.2 -1747.8 6750.1 -1629.2 2134.6 -2230.813 30955.8 1052.5 -2144.3 7854.0 -1748.2 8252.2 -1629.3 3636.8 -2230.814 32458.2 2551.7 -2143.8 9354.9 -1748.6 9754.3 -1629.4 5139.0 -2230.815 34000.7 4050.8 -2143.2 10855.8 -1749.0 11256.4 -1629.5 6641.1 -2230.816 35503.2 5549.9 -2142.7 12356.7 -1749.4 12758.5 -1629.5 8143.3 -2230.817 1005.6 7049.0 -2142.2 13857.6 -1749.8 14300.6 -1629.6 9645.4 -2230.818 2508.1 8548.2 -2141.6 15358.5 -1750.2 15802.8 -1629.7 11147.6 -2230.819 4010.5 10047.3 -2141.1 16859.4 -1750.6 17304.9 -1629.8 12649.8 -2230.820 5513.0 11546.4 -2140.5 18400.3 -1751.0 18807.0 -1629.9 14151.9 -2230.821 7015.5 13045.6 -2140.0 19901.2 -1751.4 20309.1 -1630.0 15654.1 -2230.822 8517.9 14544.7 -2139.5 21402.1 -1751.8 21811.2 -1630.1 17156.2 -2230.823 10020.4 16043.8 -2138.9 22903.0 -1752.2 23313.3 -1630.2 18658.4 -2230.8Mer.pass.:16:19 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.5Ankaa 35312.8 -4212.8

Schedar 34937.0 5638.3Diphda 34852.8 -1753.5

Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31611.3 8920.6Akamar 31515.8 -4014.4Menkar 31411.7 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

Sirius 25830.6 -1644.5Adara 25509.7 -2900.0

Procyon 24456.1 510.7Pollux 24323.5 2758.8Avior 23416.1 -5934.1Suhail 22249.7 -4330.3

Miaplacidus 22138.1 -6947.4Alphard 21752.7 -844.3Regulus 20739.9 1152.6Dubhe 19347.6 6139.0

Denebola 18230.3 1428.2Gienah 17549.0 -1738.4Acrux 17305.5 -6311.6

Gacrux 17157.2 -5712.5Alioth 16618.0 5551.5Spica 15828.0 -1115.2Alcaid 15256.5 4913.3Hadar 14843.5 -6027.2

Menkent 14804.0 -3627.2Arcturus 14552.8 1905.6

Rigil Kent. 13947.6 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.7 7404.7

Alphecca 12608.6 2639.3Antares 11222.7 -2628.0

Atria 10722.1 -6903.2Sabik 10209.3 -1544.6

Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

Etamin 9045.2 5129.2Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

Enif 3344.4 957.5Alnair 2740.3 -4652.6

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

2018/1/1 SHA Mer.passVenus 6421.0 12:14Mars 13033.9 07:48

Jupiter 13318.7 07:36Saturn 8659.7 10:41

2018/1/1 SHA Mer.passVenus 6300.5 12:15Mars 12956.3 07:46

Jupiter 13309.9 07:33Saturn 8652.3 10:37

2018/1/1 SHA Mer.passVenus 6140.2 12:16Mars 12918.7 07:45

Jupiter 13301.1 07:29Saturn 8645.0 10:34

Horizontal paralaxVenus: 0.1Mars: 0.1

10

2018 January 13 to Jan. 15

h Sun MoonSat GHA Dec GHA Dec d HP0 17752.6 -2131.1 22456.9 13.0 -1656.8 -5.6 54.21 19252.4 -2130.7 23928.8 13.0 -1702.3 -5.5 54.22 20752.2 -2130.3 25400.8 12.9 -1707.8 -5.4 54.23 22251.9 -2129.8 26832.7 12.9 -1713.2 -5.4 54.24 23751.7 -2129.4 28304.7 12.9 -1718.6 -5.3 54.15 25251.5 -2129.0 29736.5 12.9 -1723.8 -5.2 54.16 26751.2 -2128.6 31208.4 12.9 -1729.0 -5.1 54.17 28251.0 -2128.1 32640.3 12.8 -1734.0 -5.0 54.18 29750.8 -2127.7 34112.1 12.8 -1739.1 -5.0 54.19 31250.5 -2127.3 35543.9 12.8 -1744.0 -4.9 54.110 32750.3 -2126.9 1015.7 12.8 -1748.8 -4.8 54.111 34250.1 -2126.4 2447.5 12.8 -1753.6 -4.7 54.112 35749.8 -2126.0 3919.2 12.7 -1758.3 -4.6 54.113 1249.6 -2125.6 5350.9 12.7 -1802.9 -4.6 54.114 2749.4 -2125.1 6822.6 12.7 -1807.4 -4.5 54.115 4249.1 -2124.7 8254.3 12.7 -1811.9 -4.4 54.116 5748.9 -2124.3 9726.0 12.6 -1816.2 -4.3 54.117 7248.7 -2123.9 11157.6 12.6 -1820.5 -4.2 54.018 8748.4 -2123.4 12629.2 12.6 -1824.7 -4.2 54.019 10248.2 -2123.0 14100.8 12.6 -1828.8 -4.1 54.020 11748.0 -2122.5 15532.4 12.6 -1832.8 -4.0 54.021 13247.7 -2122.1 17003.9 12.5 -1836.8 -3.9 54.022 14747.5 -2121.7 18435.5 12.5 -1840.6 -3.8 54.023 16247.3 -2121.2 19907.0 12.5 -1844.4 -3.7 54.0

SD.=16.3 d=0.4 S.D.=14.8

Sun GHA Dec GHA Dec d HP0 17747.0 -2120.8 21338.5 12.5 -1848.1 -3.6 54.01 19246.8 -2120.4 22809.9 12.5 -1851.7 -3.6 54.02 20746.6 -2119.9 24241.4 12.4 -1855.2 -3.5 54.03 22246.3 -2119.5 25712.8 12.4 -1858.6 -3.4 54.04 23746.1 -2119.0 27144.3 12.4 -1902.0 -3.3 54.05 25245.9 -2118.6 28615.7 12.4 -1905.2 -3.2 54.06 26745.7 -2118.2 30047.0 12.4 -1908.4 -3.1 54.07 28245.4 -2117.7 31518.4 12.4 -1911.5 -3.0 54.08 29745.2 -2117.3 32949.7 12.3 -1914.5 -3.0 54.09 31245.0 -2116.8 34421.1 12.3 -1917.4 -2.9 54.010 32744.7 -2116.4 35852.4 12.3 -1920.2 -2.8 54.011 34244.5 -2115.9 1323.7 12.3 -1923.0 -2.7 54.012 35744.3 -2115.5 2754.9 12.3 -1925.6 -2.6 54.013 1244.1 -2115.0 4226.2 12.3 -1928.2 -2.5 54.014 2743.8 -2114.6 5657.4 12.2 -1930.6 -2.4 54.015 4243.6 -2114.1 7128.7 12.2 -1933.0 -2.3 54.016 5743.4 -2113.7 8559.9 12.2 -1935.3 -2.2 54.017 7243.2 -2113.2 10031.1 12.2 -1937.5 -2.2 54.018 8742.9 -2112.8 11502.3 12.2 -1939.6 -2.1 54.019 10242.7 -2112.3 12933.4 12.2 -1941.6 -2.0 53.920 11742.5 -2111.9 14404.6 12.2 -1943.5 -1.9 53.921 13242.3 -2111.4 15835.7 12.1 -1945.4 -1.8 53.922 14742.0 -2111.0 17306.9 12.1 -1947.1 -1.7 53.923 16241.8 -2110.5 18738.0 12.1 -1948.8 -1.6 53.9

SD.=16.3 d=0.4 S.D.=14.7

Mon GHA Dec GHA Dec d HP0 17741.6 -2110.1 20209.1 12.1 -1950.3 -1.5 53.91 19241.4 -2109.6 21640.2 12.1 -1951.8 -1.4 53.92 20741.1 -2109.2 23111.3 12.1 -1953.2 -1.3 53.93 22240.9 -2108.7 24542.4 12.1 -1954.5 -1.2 53.94 23740.7 -2108.3 26013.4 12.1 -1955.7 -1.2 53.95 25240.5 -2107.8 27444.5 12.0 -1956.8 -1.1 53.96 26740.3 -2107.3 28915.5 12.0 -1957.8 -1.0 53.97 28240.0 -2106.9 30346.5 12.0 -1958.8 -0.9 53.98 29739.8 -2106.4 31817.6 12.0 -1959.6 -0.8 53.99 31239.6 -2106.0 33248.6 12.0 -2000.3 -0.7 53.910 32739.4 -2105.5 34719.6 12.0 -2001.0 -0.6 53.911 34239.2 -2105.0 150.6 12.0 -2001.5 -0.5 54.012 35738.9 -2104.6 1621.6 12.0 -2002.0 -0.4 54.013 1238.7 -2104.1 3052.6 12.0 -2002.4 -0.3 54.014 2738.5 -2103.6 4523.6 12.0 -2002.6 -0.2 54.015 4238.3 -2103.2 5954.5 12.0 -2002.8 -0.1 54.016 5738.1 -2102.7 7425.5 12.0 -2002.9 -0.0 54.017 7237.8 -2102.2 8856.5 12.0 -2002.9 0.0 54.018 8737.6 -2101.8 10327.4 12.0 -2002.8 0.1 54.019 10237.4 -2101.3 11758.4 12.0 -2002.7 0.2 54.020 11737.2 -2100.8 13229.4 12.0 -2002.4 0.3 54.021 13237.0 -2100.4 14700.3 12.0 -2002.0 0.4 54.022 14736.7 -2059.9 16131.3 12.0 -2001.5 0.5 54.023 16236.5 -2059.4 17602.2 11.9 -2001.0 0.6 54.0

SD.=16.3 d=0.5 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:03 09:56 : : 14:23 16:1670 07:48 09:21 : : 14:58 16:3168 07:36 08:56 10:38 13:41 15:23 16:4366 07:25 08:36 09:56 14:23 15:42 16:5464 07:16 08:21 09:28 14:51 15:58 17:0262 07:09 08:07 09:06 15:12 16:11 17:1060 07:02 07:56 08:49 15:29 16:23 17:1758 06:56 07:46 08:35 15:44 16:32 17:2356 06:50 07:38 08:22 15:56 16:41 17:2854 06:45 07:30 08:12 16:07 16:49 17:3352 06:40 07:23 08:02 16:17 16:56 17:3850 06:36 07:16 07:53 16:25 17:02 17:4345 06:26 07:02 07:35 16:43 17:16 17:5240 06:17 06:51 07:20 16:58 17:28 18:0135 06:09 06:40 07:08 17:11 17:38 18:0930 06:02 06:31 06:57 17:22 17:47 18:1720 05:47 06:14 06:38 17:40 18:04 18:3110 05:33 05:59 06:21 17:57 18:20 18:460 05:17 05:43 06:05 18:13 18:35 19:01-10 05:00 05:27 05:50 18:28 18:51 19:18-20 04:40 05:08 05:32 18:45 19:10 19:38-30 04:13 04:46 05:13 19:05 19:32 20:04-35 03:57 04:32 05:01 19:17 19:46 20:21-40 03:36 04:16 04:48 19:30 20:02 20:41-45 03:09 03:56 04:32 19:46 20:22 21:08-50 02:32 03:30 04:12 20:06 20:47 21:45-52 02:11 03:17 04:02 20:15 21:00 22:06-54 01:43 03:02 03:52 20:25 21:15 22:33-56 00:57 02:44 03:40 20:37 21:32 23:16-58 : 02:22 03:25 20:51 21:54 :-60 : 01:52 03:09 21:08 22:23 :

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 08:41 : : 09:46 : :70 07:18 09:03 : 11:08 11:02 :68 06:40 08:02 09:09 11:47 12:03 12:3566 06:14 07:27 08:29 12:15 12:38 13:1564 05:53 07:02 08:01 12:35 13:03 13:4362 05:37 06:43 07:40 12:52 13:23 14:0460 05:23 06:27 07:23 13:06 13:39 14:2158 05:11 06:13 07:08 13:18 13:53 14:3656 05:01 06:02 06:56 13:29 14:05 14:4854 04:52 05:51 06:45 13:38 14:15 14:5952 04:44 05:42 06:36 13:46 14:24 15:0950 04:37 05:34 06:27 13:54 14:33 15:1745 04:22 05:17 06:09 14:10 14:50 15:3540 04:09 05:03 05:54 14:23 15:04 15:5035 03:59 04:51 05:42 14:34 15:17 16:0330 03:49 04:41 05:31 14:44 15:27 16:1420 03:33 04:23 05:12 15:01 15:45 16:3210 03:19 04:08 04:56 15:15 16:01 16:490 03:06 03:53 04:41 15:29 16:16 17:04-10 02:53 03:39 04:26 15:43 16:31 17:19-20 02:40 03:23 04:09 15:57 16:47 17:36-30 02:24 03:06 03:51 16:14 17:05 17:54-35 02:15 02:56 03:40 16:24 17:16 18:05-40 02:05 02:44 03:28 16:35 17:28 18:18-45 01:53 02:30 03:13 16:49 17:42 18:32-50 01:38 02:14 02:55 17:05 18:00 18:50-52 01:31 02:06 02:47 17:12 18:08 18:59-54 01:23 01:57 02:38 17:21 18:18 19:08-56 01:15 01:48 02:27 17:30 18:28 19:19-58 01:05 01:36 02:15 17:41 18:40 19:31-60 00:55 01:24 02:01 17:54 18:54 19:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 08:30 08:41 12:08 09:17 21:41 26(11%)14 08:52 09:03 12:09 10:04 22:28 27(6%)15 09:14 09:24 12:09 10:52 23:16 28(2%)

11

January 16, 17 ,18 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11522.9 17543.0 -2138.4 24403.9 -1752.6 24815.4 -1630.3 20200.6 -2230.81 13025.3 19042.1 -2137.8 25904.8 -1753.0 26317.5 -1630.4 21702.7 -2230.82 14527.8 20541.2 -2137.3 27405.7 -1753.4 27819.6 -1630.5 23204.9 -2230.83 16030.3 22040.4 -2136.7 28906.6 -1753.8 29321.7 -1630.5 24707.0 -2230.84 17532.7 23539.5 -2136.2 30407.5 -1754.2 30823.8 -1630.6 26209.2 -2230.75 19035.2 25038.6 -2135.6 31908.3 -1754.6 32325.9 -1630.7 27711.4 -2230.76 20537.7 26537.8 -2135.1 33409.2 -1755.1 33828.0 -1630.8 29213.5 -2230.77 22040.1 28036.9 -2134.5 34910.1 -1755.5 35330.2 -1630.9 30715.7 -2230.78 23542.6 29536.0 -2133.9 411.0 -1755.9 832.3 -1631.0 32217.8 -2230.79 25045.0 31035.2 -2133.4 1911.9 -1756.3 2334.4 -1631.1 33720.0 -2230.710 26547.5 32534.3 -2132.8 3412.8 -1756.7 3836.5 -1631.2 35222.2 -2230.711 28050.0 34033.5 -2132.3 4913.7 -1757.1 5338.6 -1631.3 724.3 -2230.712 29552.4 35532.6 -2131.7 6414.6 -1757.5 6840.7 -1631.4 2226.5 -2230.713 31054.9 1031.7 -2131.2 7915.5 -1757.9 8342.8 -1631.5 3728.7 -2230.714 32557.4 2530.9 -2130.6 9416.4 -1758.3 9844.9 -1631.5 5230.8 -2230.715 34059.8 4030.0 -2130.0 10917.3 -1758.7 11347.0 -1631.6 6733.0 -2230.716 35602.3 5529.1 -2129.5 12418.2 -1759.1 12849.1 -1631.7 8235.1 -2230.717 1104.8 7028.3 -2128.9 13919.1 -1759.5 14351.3 -1631.8 9737.3 -2230.718 2607.2 8527.4 -2128.3 15419.9 -1759.9 15853.4 -1631.9 11239.5 -2230.719 4109.7 10026.6 -2127.8 16920.8 -1800.3 17355.5 -1632.0 12741.6 -2230.720 5612.2 11525.7 -2127.2 18421.7 -1800.7 18857.6 -1632.1 14243.8 -2230.721 7114.6 13024.9 -2126.6 19922.6 -1801.1 20359.7 -1632.2 15745.9 -2230.722 8617.1 14524.0 -2126.1 21423.5 -1801.5 21901.8 -1632.3 17248.1 -2230.723 10119.5 16023.1 -2125.5 22924.4 -1801.9 23403.9 -1632.4 18750.3 -2230.6Mer.pass.:16:15 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11622.0 17522.3 -2124.9 24425.3 -1802.3 24906.0 -1632.4 20252.4 -2230.61 13124.5 19021.4 -2124.3 25926.2 -1802.7 26408.2 -1632.5 21754.6 -2230.62 14626.9 20520.6 -2123.8 27427.1 -1803.1 27910.3 -1632.6 23256.8 -2230.63 16129.4 22019.7 -2123.2 28928.0 -1803.5 29412.4 -1632.7 24758.9 -2230.64 17631.9 23518.9 -2122.6 30428.9 -1803.9 30914.5 -1632.8 26301.1 -2230.65 19134.3 25018.0 -2122.0 31929.8 -1804.3 32416.6 -1632.9 27803.2 -2230.66 20636.8 26517.1 -2121.5 33430.6 -1804.7 33918.7 -1633.0 29305.4 -2230.67 22139.3 28016.3 -2120.9 34931.5 -1805.1 35420.8 -1633.1 30807.6 -2230.68 23641.7 29515.4 -2120.3 432.4 -1805.5 923.0 -1633.2 32309.7 -2230.69 25144.2 31014.6 -2119.7 1933.3 -1805.9 2425.1 -1633.2 33811.9 -2230.610 26646.7 32513.7 -2119.1 3434.2 -1806.3 3927.2 -1633.3 35314.1 -2230.611 28149.1 34012.9 -2118.5 4935.1 -1806.7 5429.3 -1633.4 816.2 -2230.612 29651.6 35512.0 -2118.0 6436.0 -1807.1 6931.4 -1633.5 2318.4 -2230.613 31154.0 1011.2 -2117.4 7936.9 -1807.4 8433.5 -1633.6 3820.5 -2230.614 32656.5 2510.3 -2116.8 9437.8 -1807.8 9935.6 -1633.7 5322.7 -2230.615 34159.0 4009.5 -2116.2 10938.7 -1808.2 11437.8 -1633.8 6824.9 -2230.616 35701.4 5508.6 -2115.6 12439.6 -1808.6 12939.9 -1633.9 8327.0 -2230.617 1203.9 7007.8 -2115.0 13940.4 -1809.0 14442.0 -1633.9 9829.2 -2230.518 2706.4 8506.9 -2114.4 15441.3 -1809.4 15944.1 -1634.0 11331.4 -2230.519 4208.8 10006.1 -2113.8 16942.2 -1809.8 17446.2 -1634.1 12833.5 -2230.520 5711.3 11505.2 -2113.2 18443.1 -1810.2 18948.3 -1634.2 14335.7 -2230.521 7213.8 13004.4 -2112.6 19944.0 -1810.6 20450.5 -1634.3 15837.9 -2230.522 8716.2 14503.5 -2112.0 21444.9 -1811.0 21952.6 -1634.4 17340.0 -2230.523 10218.7 16002.7 -2111.4 22945.8 -1811.4 23454.7 -1634.5 18842.2 -2230.5Mer.pass.:16:11 v-0.9 d0.6 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11721.1 17501.9 -2110.8 24446.7 -1811.8 24956.8 -1634.6 20344.3 -2230.51 13223.6 19001.0 -2110.2 25947.6 -1812.2 26458.9 -1634.6 21846.5 -2230.52 14726.1 20500.2 -2109.6 27448.4 -1812.6 28001.0 -1634.7 23348.7 -2230.53 16228.5 21959.3 -2109.0 28949.3 -1813.0 29503.2 -1634.8 24850.8 -2230.54 17731.0 23458.5 -2108.4 30450.2 -1813.4 31005.3 -1634.9 26353.0 -2230.55 19233.5 24957.6 -2107.8 31951.1 -1813.8 32507.4 -1635.0 27855.2 -2230.56 20735.9 26456.8 -2107.2 33452.0 -1814.2 34009.5 -1635.1 29357.3 -2230.57 22238.4 27956.0 -2106.6 34952.9 -1814.6 35511.6 -1635.2 30859.5 -2230.58 23740.9 29455.1 -2106.0 453.8 -1814.9 1013.8 -1635.3 32401.7 -2230.59 25243.3 30954.3 -2105.4 1954.7 -1815.3 2515.9 -1635.3 33903.8 -2230.510 26745.8 32453.4 -2104.8 3455.6 -1815.7 4018.0 -1635.4 35406.0 -2230.511 28248.3 33952.6 -2104.2 4956.5 -1816.1 5520.1 -1635.5 908.1 -2230.412 29750.7 35451.7 -2103.5 6457.3 -1816.5 7022.2 -1635.6 2410.3 -2230.413 31253.2 950.9 -2102.9 7958.2 -1816.9 8524.4 -1635.7 3912.5 -2230.414 32755.6 2450.1 -2102.3 9459.1 -1817.3 10026.5 -1635.8 5414.6 -2230.415 34258.1 3949.2 -2101.7 11000.0 -1817.7 11528.6 -1635.9 6916.8 -2230.416 35800.6 5448.4 -2101.1 12500.9 -1818.1 13030.7 -1636.0 8419.0 -2230.417 1303.0 6947.6 -2100.5 14001.8 -1818.5 14532.8 -1636.0 9921.1 -2230.418 2805.5 8446.7 -2059.8 15502.7 -1818.9 16035.0 -1636.1 11423.3 -2230.419 4308.0 9945.9 -2059.2 17003.6 -1819.2 17537.1 -1636.2 12925.5 -2230.420 5810.4 11445.0 -2058.6 18504.4 -1819.6 19039.2 -1636.3 14427.6 -2230.421 7312.9 12944.2 -2058.0 20005.3 -1820.0 20541.3 -1636.4 15929.8 -2230.422 8815.4 14443.4 -2057.4 21506.2 -1820.4 22043.5 -1636.5 17432.0 -2230.423 10317.8 15942.5 -2056.7 23007.1 -1820.8 23545.6 -1636.6 18934.1 -2230.4Mer.pass.:16:07 v-0.8 d0.6 m-3.8 v0.9 d-0.4 m1.3 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.4Ankaa 35312.8 -4212.8

Schedar 34937.0 5638.3Diphda 34852.8 -1753.5

Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31612.5 8920.6Akamar 31515.9 -4014.4Menkar 31411.7 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

Sirius 25830.5 -1644.5Adara 25509.7 -2900.0

Procyon 24456.1 510.7Pollux 24323.5 2758.8Avior 23416.1 -5934.1Suhail 22249.7 -4330.3

Miaplacidus 22138.1 -6947.4Alphard 21752.7 -844.3Regulus 20739.9 1152.6Dubhe 19347.5 6139.0

Denebola 18230.3 1428.2Gienah 17548.9 -1738.4Acrux 17305.5 -6311.6

Gacrux 17157.2 -5712.5Alioth 16618.0 5551.5Spica 15827.9 -1115.2Alcaid 15256.5 4913.2Hadar 14843.4 -6027.2

Menkent 14803.9 -3627.2Arcturus 14552.8 1905.6

Rigil Kent. 13947.6 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.6 7404.7

Alphecca 12608.6 2639.3Antares 11222.7 -2628.0

Atria 10722.1 -6903.2Sabik 10209.2 -1544.6

Shaula 9618.0 -3706.7Rasalhague 9603.9 1232.9

Etamin 9045.2 5129.2Kaus Aust. 8340.1 -3422.3

Vega 8037.3 3848.0Nunki 7554.8 -2616.3Altair 6205.6 855.0

Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

Enif 3344.4 957.5Alnair 2740.3 -4652.5

Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

2018/1/1 SHA Mer.passVenus 6020.1 12:18Mars 12841.0 07:43

Jupiter 13252.5 07:26Saturn 8637.7 10:30

2018/1/1 SHA Mer.passVenus 5900.3 12:19Mars 12803.3 07:42

Jupiter 13244.0 07:23Saturn 8630.4 10:27

2018/1/1 SHA Mer.passVenus 5740.7 12:21Mars 12725.5 07:40

Jupiter 13235.7 07:19Saturn 8623.2 10:24

Horizontal paralaxVenus: 0.1Mars: 0.1

12

2018 January 16 to Jan. 18

h Sun MoonTue GHA Dec GHA Dec d HP0 17736.3 -2059.0 19033.2 11.9 -2000.3 0.7 54.01 19236.1 -2058.5 20504.1 11.9 -1959.6 0.8 54.02 20735.9 -2058.0 21935.1 11.9 -1958.8 0.9 54.03 22235.7 -2057.5 23406.0 11.9 -1957.8 1.0 54.04 23735.5 -2057.1 24836.9 11.9 -1956.8 1.1 54.05 25235.2 -2056.6 26307.9 12.0 -1955.7 1.2 54.06 26735.0 -2056.1 27738.9 12.0 -1954.5 1.3 54.07 28234.8 -2055.6 29209.8 12.0 -1953.2 1.3 54.08 29734.6 -2055.2 30640.8 12.0 -1951.8 1.4 54.09 31234.4 -2054.7 32111.7 12.0 -1950.3 1.5 54.010 32734.2 -2054.2 33542.7 12.0 -1948.7 1.6 54.011 34234.0 -2053.7 35013.7 12.0 -1947.1 1.7 54.012 35733.7 -2053.2 444.6 12.0 -1945.3 1.8 54.013 1233.5 -2052.8 1915.6 12.0 -1943.5 1.9 54.014 2733.3 -2052.3 3346.6 12.0 -1941.5 2.0 54.015 4233.1 -2051.8 4817.6 12.0 -1939.5 2.1 54.116 5732.9 -2051.3 6248.6 12.0 -1937.4 2.2 54.117 7232.7 -2050.8 7719.6 12.0 -1935.1 2.3 54.118 8732.5 -2050.3 9150.6 12.0 -1932.8 2.4 54.119 10232.3 -2049.9 10621.6 12.0 -1930.4 2.4 54.120 11732.0 -2049.4 12052.6 12.0 -1927.9 2.5 54.121 13231.8 -2048.9 13523.7 12.0 -1925.4 2.6 54.122 14731.6 -2048.4 14954.7 12.0 -1922.7 2.7 54.123 16231.4 -2047.9 16425.8 12.1 -1919.9 2.8 54.1

SD.=16.3 d=0.5 S.D.=14.7

Wed GHA Dec GHA Dec d HP0 17731.2 -2047.4 17856.8 12.1 -1917.1 2.9 54.11 19231.0 -2046.9 19327.9 12.1 -1914.1 3.0 54.12 20730.8 -2046.5 20759.0 12.1 -1911.1 3.1 54.13 22230.6 -2046.0 22230.1 12.1 -1908.0 3.2 54.14 23730.4 -2045.5 23701.2 12.1 -1904.8 3.3 54.15 25230.2 -2045.0 25132.3 12.1 -1901.5 3.3 54.16 26730.0 -2044.5 26603.4 12.1 -1858.1 3.4 54.27 28229.7 -2044.0 28034.6 12.2 -1854.6 3.5 54.28 29729.5 -2043.5 29505.7 12.2 -1851.0 3.6 54.29 31229.3 -2043.0 30936.9 12.2 -1847.4 3.7 54.210 32729.1 -2042.5 32408.1 12.2 -1843.6 3.8 54.211 34228.9 -2042.0 33839.3 12.2 -1839.8 3.9 54.212 35728.7 -2041.5 35310.5 12.2 -1835.9 4.0 54.213 1228.5 -2041.0 741.7 12.2 -1831.9 4.0 54.214 2728.3 -2040.5 2213.0 12.3 -1827.8 4.1 54.215 4228.1 -2040.0 3644.2 12.3 -1823.6 4.2 54.216 5727.9 -2039.5 5115.5 12.3 -1819.4 4.3 54.217 7227.7 -2039.0 6546.8 12.3 -1815.0 4.4 54.218 8727.5 -2038.5 8018.1 12.3 -1810.6 4.5 54.319 10227.3 -2038.0 9449.4 12.3 -1806.1 4.6 54.320 11727.1 -2037.5 10920.8 12.3 -1801.4 4.6 54.321 13226.9 -2037.0 12352.1 12.4 -1756.8 4.7 54.322 14726.7 -2036.5 13823.5 12.4 -1752.0 4.8 54.323 16226.5 -2036.0 15254.9 12.4 -1747.1 4.9 54.3

SD.=16.3 d=0.5 S.D.=14.8

Thu GHA Dec GHA Dec d HP0 17726.3 -2035.5 16726.3 12.4 -1742.2 5.0 54.31 19226.1 -2035.0 18157.7 12.4 -1737.2 5.1 54.32 20725.9 -2034.5 19629.2 12.5 -1732.1 5.1 54.33 22225.7 -2034.0 21100.6 12.5 -1726.9 5.2 54.34 23725.5 -2033.5 22532.1 12.5 -1721.6 5.3 54.45 25225.3 -2033.0 24003.6 12.5 -1716.3 5.4 54.46 26725.1 -2032.5 25435.2 12.5 -1710.8 5.5 54.47 28224.9 -2032.0 26906.7 12.6 -1705.3 5.5 54.48 29724.7 -2031.4 28338.3 12.6 -1659.7 5.6 54.49 31224.5 -2030.9 29809.8 12.6 -1654.1 5.7 54.410 32724.3 -2030.4 31241.4 12.6 -1648.3 5.8 54.411 34224.1 -2029.9 32713.1 12.6 -1642.5 5.9 54.412 35723.9 -2029.4 34144.7 12.6 -1636.6 5.9 54.413 1223.7 -2028.9 35616.3 12.7 -1630.6 6.0 54.514 2723.5 -2028.4 1048.0 12.7 -1624.6 6.1 54.515 4223.3 -2027.9 2519.7 12.7 -1618.4 6.2 54.516 5723.1 -2027.3 3951.4 12.7 -1612.2 6.3 54.517 7222.9 -2026.8 5423.2 12.7 -1605.9 6.3 54.518 8722.7 -2026.3 6854.9 12.8 -1559.6 6.4 54.519 10222.5 -2025.8 8326.7 12.8 -1553.1 6.5 54.520 11722.3 -2025.3 9758.5 12.8 -1546.6 6.6 54.521 13222.1 -2024.8 11230.3 12.8 -1540.0 6.6 54.622 14721.9 -2024.2 12702.2 12.9 -1533.4 6.7 54.623 16221.7 -2023.7 14134.1 12.9 -1526.6 6.8 54.6

SD.=16.3 d=0.5 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:56 09:43 : : 14:38 16:2570 07:42 09:12 11:42 12:39 15:09 16:3968 07:30 08:49 10:24 13:57 15:32 16:5166 07:21 08:30 09:47 14:34 15:50 17:0064 07:12 08:16 09:21 14:60 16:05 17:0862 07:05 08:03 09:01 15:20 16:18 17:1660 06:59 07:52 08:44 15:36 16:28 17:2258 06:53 07:43 08:31 15:50 16:38 17:2856 06:48 07:35 08:19 16:02 16:46 17:3354 06:43 07:27 08:09 16:12 16:53 17:3852 06:38 07:21 07:59 16:21 17:00 17:4250 06:34 07:14 07:51 16:30 17:06 17:4645 06:25 07:01 07:34 16:47 17:20 17:5640 06:16 06:50 07:19 17:01 17:31 18:0435 06:09 06:40 07:07 17:13 17:41 18:1230 06:01 06:31 06:56 17:24 17:50 18:1920 05:47 06:14 06:38 17:42 18:06 18:3310 05:33 05:59 06:22 17:59 18:21 18:470 05:19 05:44 06:06 18:14 18:36 19:02-10 05:02 05:28 05:51 18:29 18:52 19:18-20 04:42 05:10 05:34 18:46 19:09 19:38-30 04:16 04:49 05:15 19:05 19:31 20:03-35 04:00 04:35 05:04 19:16 19:44 20:19-40 03:40 04:19 04:51 19:29 20:00 20:39-45 03:14 04:00 04:35 19:44 20:19 21:05-50 02:38 03:35 04:16 20:03 20:44 21:40-52 02:19 03:23 04:07 20:12 20:56 21:60-54 01:53 03:08 03:57 20:22 21:10 22:24-56 01:15 02:51 03:45 20:34 21:27 23:01-58 : 02:30 03:32 20:47 21:48 :-60 : 02:03 03:16 21:02 22:14 :

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 : : 11:43 : : 14:5970 11:12 11:01 10:55 12:12 14:02 15:4668 09:51 10:14 10:24 13:32 14:49 16:1666 09:14 09:43 10:01 14:10 15:19 16:3864 08:47 09:20 09:43 14:36 15:42 16:5662 08:26 09:02 09:28 14:57 15:60 17:1060 08:09 08:47 09:16 15:14 16:15 17:2358 07:55 08:34 09:05 15:28 16:27 17:3356 07:43 08:23 08:55 15:40 16:38 17:4254 07:32 08:13 08:47 15:50 16:48 17:5052 07:23 08:04 08:39 15:59 16:56 17:5750 07:15 07:56 08:32 16:08 17:04 18:0445 06:57 07:39 08:18 16:26 17:20 18:1840 06:42 07:26 08:06 16:40 17:33 18:2935 06:30 07:14 07:55 16:52 17:45 18:3930 06:19 07:04 07:46 17:03 17:54 18:4720 06:00 06:46 07:31 17:21 18:11 19:0210 05:44 06:31 07:17 17:37 18:26 19:150 05:29 06:17 07:04 17:52 18:40 19:27-10 05:14 06:02 06:51 18:07 18:53 19:38-20 04:57 05:47 06:38 18:23 19:08 19:51-30 04:39 05:29 06:22 18:41 19:24 20:05-35 04:28 05:19 06:13 18:51 19:34 20:14-40 04:16 05:07 06:02 19:03 19:45 20:23-45 04:01 04:53 05:50 19:17 19:58 20:34-50 03:43 04:37 05:35 19:35 20:14 20:47-52 03:35 04:29 05:28 19:43 20:21 20:53-54 03:25 04:20 05:20 19:52 20:29 21:00-56 03:15 04:10 05:11 20:02 20:38 21:08-58 03:02 03:58 05:01 20:14 20:48 21:16-60 02:48 03:45 04:50 20:27 21:00 21:26

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 09:35 09:45 12:09 11:40 00:04 29(0%)17 09:55 10:05 12:10 12:28 00:04 0(0%)18 10:15 10:25 12:10 13:15 00:51 1(2%)

13

January 19, 20 ,21 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11820.3 17441.7 -2056.1 24508.0 -1821.2 25047.7 -1636.6 20436.3 -2230.41 13322.8 18940.9 -2055.5 26008.9 -1821.6 26549.8 -1636.7 21938.5 -2230.42 14825.2 20440.0 -2054.9 27509.8 -1822.0 28051.9 -1636.8 23440.6 -2230.43 16327.7 21939.2 -2054.2 29010.7 -1822.4 29554.1 -1636.9 24942.8 -2230.44 17830.1 23438.4 -2053.6 30511.6 -1822.7 31056.2 -1637.0 26444.9 -2230.45 19332.6 24937.5 -2053.0 32012.4 -1823.1 32558.3 -1637.1 27947.1 -2230.36 20835.1 26436.7 -2052.3 33513.3 -1823.5 34100.4 -1637.2 29449.3 -2230.37 22337.5 27935.9 -2051.7 35014.2 -1823.9 35602.6 -1637.2 30951.4 -2230.38 23840.0 29435.0 -2051.1 515.1 -1824.3 1104.7 -1637.3 32453.6 -2230.39 25342.5 30934.2 -2050.4 2016.0 -1824.7 2606.8 -1637.4 33955.8 -2230.310 26844.9 32433.4 -2049.8 3516.9 -1825.1 4108.9 -1637.5 35457.9 -2230.311 28347.4 33932.6 -2049.2 5017.8 -1825.5 5611.1 -1637.6 1000.1 -2230.312 29849.9 35431.7 -2048.5 6518.7 -1825.8 7113.2 -1637.7 2502.3 -2230.313 31352.3 930.9 -2047.9 8019.5 -1826.2 8615.3 -1637.8 4004.4 -2230.314 32854.8 2430.1 -2047.2 9520.4 -1826.6 10117.4 -1637.8 5506.6 -2230.315 34357.2 3929.2 -2046.6 11021.3 -1827.0 11619.6 -1637.9 7008.8 -2230.316 35859.7 5428.4 -2046.0 12522.2 -1827.4 13121.7 -1638.0 8510.9 -2230.317 1402.2 6927.6 -2045.3 14023.1 -1827.8 14623.8 -1638.1 10013.1 -2230.318 2904.6 8426.8 -2044.7 15524.0 -1828.2 16126.0 -1638.2 11515.3 -2230.319 4407.1 9925.9 -2044.0 17024.9 -1828.5 17628.1 -1638.3 13017.4 -2230.320 5909.6 11425.1 -2043.4 18525.7 -1828.9 19130.2 -1638.3 14519.6 -2230.321 7412.0 12924.3 -2042.7 20026.6 -1829.3 20632.3 -1638.4 16021.8 -2230.222 8914.5 14423.5 -2042.1 21527.5 -1829.7 22134.5 -1638.5 17523.9 -2230.223 10417.0 15922.7 -2041.4 23028.4 -1830.1 23636.6 -1638.6 19026.1 -2230.2Mer.pass.:16:04 v-0.8 d0.6 m-3.8 v0.9 d-0.4 m1.3 v2.1 d-0.1 m-1.8 v2.2 d0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11919.4 17421.8 -2040.8 24529.3 -1830.5 25138.7 -1638.7 20528.3 -2230.21 13421.9 18921.0 -2040.1 26030.2 -1830.8 26640.8 -1638.8 22030.4 -2230.22 14924.4 20420.2 -2039.5 27531.1 -1831.2 28143.0 -1638.8 23532.6 -2230.23 16426.8 21919.4 -2038.8 29032.0 -1831.6 29645.1 -1638.9 25034.8 -2230.24 17929.3 23418.5 -2038.2 30532.8 -1832.0 31147.2 -1639.0 26536.9 -2230.25 19431.7 24917.7 -2037.5 32033.7 -1832.4 32649.4 -1639.1 28039.1 -2230.26 20934.2 26416.9 -2036.8 33534.6 -1832.8 34151.5 -1639.2 29541.3 -2230.27 22436.7 27916.1 -2036.2 35035.5 -1833.1 35653.6 -1639.3 31043.4 -2230.28 23939.1 29415.3 -2035.5 536.4 -1833.5 1155.8 -1639.3 32545.6 -2230.29 25441.6 30914.4 -2034.9 2037.3 -1833.9 2657.9 -1639.4 34047.8 -2230.210 26944.1 32413.6 -2034.2 3538.2 -1834.3 4200.0 -1639.5 35549.9 -2230.211 28446.5 33912.8 -2033.5 5039.0 -1834.7 5702.1 -1639.6 1052.1 -2230.212 29949.0 35412.0 -2032.9 6539.9 -1835.0 7204.3 -1639.7 2554.3 -2230.213 31451.5 911.2 -2032.2 8040.8 -1835.4 8706.4 -1639.8 4056.4 -2230.214 32953.9 2410.4 -2031.5 9541.7 -1835.8 10208.5 -1639.8 5558.6 -2230.115 34456.4 3909.6 -2030.9 11042.6 -1836.2 11710.7 -1639.9 7100.8 -2230.116 35958.9 5408.7 -2030.2 12543.5 -1836.6 13212.8 -1640.0 8602.9 -2230.117 1501.3 6907.9 -2029.5 14044.3 -1836.9 14714.9 -1640.1 10105.1 -2230.118 3003.8 8407.1 -2028.9 15545.2 -1837.3 16217.1 -1640.2 11607.3 -2230.119 4506.2 9906.3 -2028.2 17046.1 -1837.7 17719.2 -1640.3 13109.4 -2230.120 6008.7 11405.5 -2027.5 18547.0 -1838.1 19221.3 -1640.3 14611.6 -2230.121 7511.2 12904.7 -2026.8 20047.9 -1838.5 20723.5 -1640.4 16113.8 -2230.122 9013.6 14403.9 -2026.2 21548.8 -1838.8 22225.6 -1640.5 17615.9 -2230.123 10516.1 15903.1 -2025.5 23049.7 -1839.2 23727.7 -1640.6 19118.1 -2230.1Mer.pass.:16:00 v-0.8 d0.7 m-3.8 v0.9 d-0.4 m1.3 v2.1 d-0.1 m-1.8 v2.2 d0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 12018.6 17402.2 -2024.8 24550.5 -1839.6 25229.9 -1640.7 20620.3 -2230.11 13521.0 18901.4 -2024.1 26051.4 -1840.0 26732.0 -1640.8 22122.5 -2230.12 15023.5 20400.6 -2023.5 27552.3 -1840.4 28234.1 -1640.8 23624.6 -2230.13 16526.0 21859.8 -2022.8 29053.2 -1840.7 29736.3 -1640.9 25126.8 -2230.14 18028.4 23359.0 -2022.1 30554.1 -1841.1 31238.4 -1641.0 26629.0 -2230.15 19530.9 24858.2 -2021.4 32055.0 -1841.5 32740.5 -1641.1 28131.1 -2230.16 21033.3 26357.4 -2020.7 33555.8 -1841.9 34242.7 -1641.2 29633.3 -2230.07 22535.8 27856.6 -2020.1 35056.7 -1842.2 35744.8 -1641.3 31135.5 -2230.08 24038.3 29355.8 -2019.4 557.6 -1842.6 1246.9 -1641.3 32637.6 -2230.09 25540.7 30855.0 -2018.7 2058.5 -1843.0 2749.1 -1641.4 34139.8 -2230.010 27043.2 32354.2 -2018.0 3559.4 -1843.4 4251.2 -1641.5 35642.0 -2230.011 28545.7 33853.4 -2017.3 5100.3 -1843.7 5753.4 -1641.6 1144.1 -2230.012 30048.1 35352.6 -2016.6 6601.2 -1844.1 7255.5 -1641.7 2646.3 -2230.013 31550.6 851.8 -2015.9 8102.0 -1844.5 8757.6 -1641.7 4148.5 -2230.014 33053.1 2350.9 -2015.2 9602.9 -1844.9 10259.8 -1641.8 5650.6 -2230.015 34555.5 3850.1 -2014.5 11103.8 -1845.2 11801.9 -1641.9 7152.8 -2230.016 058.0 5349.3 -2013.8 12604.7 -1845.6 13304.0 -1642.0 8655.0 -2230.017 1600.5 6848.5 -2013.2 14105.6 -1846.0 14806.2 -1642.1 10157.1 -2230.018 3102.9 8347.7 -2012.5 15606.5 -1846.4 16308.3 -1642.1 11659.3 -2230.019 4605.4 9846.9 -2011.8 17107.3 -1846.7 17810.4 -1642.2 13201.5 -2230.020 6107.8 11346.1 -2011.1 18608.2 -1847.1 19312.6 -1642.3 14703.7 -2230.021 7610.3 12845.3 -2010.4 20109.1 -1847.5 20814.7 -1642.4 16205.8 -2230.022 9112.8 14344.5 -2009.7 21610.0 -1847.9 22316.9 -1642.5 17708.0 -2229.923 10615.2 15843.7 -2009.0 23110.9 -1848.2 23819.0 -1642.5 19210.2 -2229.9Mer.pass.:15:56 v-0.8 d0.7 m-3.8 v0.9 d-0.4 m1.3 v2.1 d-0.1 m-1.8 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 35740.4 2911.4Ankaa 35312.8 -4212.8

Schedar 34937.1 5638.3Diphda 34852.8 -1753.5

Achernar 33524.6 -5709.2Hamal 32757.2 2332.8Polaris 31613.9 8920.6Akamar 31515.9 -4014.4Menkar 31411.7 409.4Mirfak 30835.6 4955.5

Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

Sirius 25830.5 -1644.5Adara 25509.7 -2900.1

Procyon 24456.1 510.7Pollux 24323.5 2758.8Avior 23416.1 -5934.1Suhail 22249.7 -4330.4

Miaplacidus 22138.1 -6947.4Alphard 21752.7 -844.3Regulus 20739.9 1152.6Dubhe 19347.5 6139.0

Denebola 18230.3 1428.2Gienah 17548.9 -1738.4Acrux 17305.5 -6311.6

Gacrux 17157.1 -5712.5Alioth 16617.9 5551.5Spica 15827.9 -1115.2Alcaid 15256.5 4913.2Hadar 14843.4 -6027.2

Menkent 14803.9 -3627.2Arcturus 14552.8 1905.6

Rigil Kent. 13947.6 -6054.1Zubenelg. 13702.0 -1606.8Kochab 13720.5 7404.7

Alphecca 12608.6 2639.2Antares 11222.6 -2628.0

Atria 10722.0 -6903.2Sabik 10209.2 -1544.6

Shaula 9618.0 -3706.7Rasalhague 9603.9 1232.9

Etamin 9045.2 5129.2Kaus