TheNauticalAlmanac.com
Disclaimer: These are computer generated tables. Use on your own risk. The accuracy has been checked as good as possible but can not be guaranteed. This means, if you get lost on the oceans because of errors in this publication I can not be held liable. or security rele!ant applications you should buy an official !ersion of the nautical almanac.
The Nautical Almanac "#$%
About Calculators
The Casio fx-300ES Plus   is an inexpensive calculator at about 11 USD. It features natural input  so you enter a formula just as it would be written on paper. nterin! de!rees" minutes and seconds is very simple. The Casio  fx-300ES Plus has # memory locations and you can review many of the previous entries you ma$e usin! a special $ey on the calculator.
Determine Hc using a calculator
The formula
Declination  is the Declination of the Celestial body you-re observin!.
Latitude  is the atitude where you are" thin$ you are or where you would li$e to determine %c for. Typically" you-ll be usin! an Assumed position Latitude or Ap Latitude  as it-s called.
In Western Longitudes
LHA  is the ocal %our /n!le which is derived from subtractin! your whole number value of on!itude (/ssumed or otherwise) from the whole number value of GHA (0reenwich %our /n!le).
In Eastern Longitudes
LHA  is the ocal %our /n!le which is derived from addin! your whole number value of on!itude (/ssumed or otherwise) to the whole number value of GHA (0reenwich %our /n!le).
As it would be entered into the Casio calculator
Sin1(Sin(Ap Latitude) x Sin(Declination) + Cos(Ap Latitude x Cos(Declination) x Cos(LHA)
2hen the heavily body-s Declination is South enter the ne!ative si!n before it.
Wh! would !ou want to determine Hc using a calculator"
It-s faster than loo$in! up in %345#" hi!hly accurate" you don-t need a lot of printed out pa!es of atitudes from %345#" %345# doesn-t cover any si!ht of a heavenly body with a Declination !reater than 4# de!rees so you-d have to use %344# which is extremely lar!e.
TheNauticalAlmanac#com
6 & acos'(sin(Declination) 7 sin(Ap Latitude x sin(Hc))8(cos(Ap Latitude) x cos(Hc)),
As it would be entered into the Casio calculator###
Casio Cos1((Sin(Declination) 7 Sin(A% Latitude) x Sin(Hc)) 8 (Cos(A% Latitude) x Cos(Hc)
Note the 989 means press the divide $ey
Determine $ another way  
6 & tan1 (sin (LHA) 8 (cos (LHA) x sin(A% Latitude) cos(A% Latitude) x tan(Declination))
To put 6 into the ri!ht :uadrant" apply the followin! rules
If answer is negative " add 1;< de!rees to 6. If %/ was less than  1;< de!rees add  1;< de!rees to 6.
Note - the "/" means press the divide $ey
Determine &efraction <.#= 8   Tan of (%a)
Determine Dip using feet <.#> x (S:uare ?oot of  He  (%ei!ht of ye) in feet)
Determine Dip using meters 1.>= x (S:uare ?oot of He (%ei!ht of eye) in meters )
fair !inds and lear s#ies
TheNauticalAlmanac#com
 
January 01, 02 ,03 (Fri., Sat., Sun.) Aries Venus Mars Jupiter Saturn
Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10005.4 21942.3 -1836.9 25300.9 -933.5 28553.1 351.3 21016.0 -2029.6 1 11507.9 23441.6 -1837.6 26802.1 -934.0 30055.5 351.3 22518.2 -2029.6 2 13010.4 24940.9 -1838.3 28303.2 -934.5 31557.9 351.3 24020.4 -2029.7 3 14512.8 26440.3 -1838.9 29804.4 -935.0 33100.3 351.3 25522.5 -2029.7 4 16015.3 27939.6 -1839.6 31305.5 -935.5 34602.7 351.3 27024.7 -2029.7 5 17517.8 29439.0 -1840.3 32806.7 -936.0 105.1 351.3 28526.9 -2029.8 6 19020.2 30938.3 -1840.9 34307.8 -936.5 1607.5 351.3 30029.1 -2029.8 7 20522.7 32437.6 -1841.6 35809.0 -937.0 3109.9 351.3 31531.2 -2029.8 8 22025.2 33937.0 -1842.2 1310.1 -937.5 4612.4 351.2 33033.4 -2029.9 9 23527.6 35436.3 -1842.9 2811.3 -937.9 6114.8 351.2 34535.6 -2029.9
10 25030.1 935.7 -1843.6 4312.4 -938.4 7617.2 351.2 037.8 -2030.0 11 26532.6 2435.0 -1844.2 5813.6 -938.9 9119.6 351.2 1540.0 -2030.0 12 28035.0 3934.3 -1844.9 7314.7 -939.4 10622.0 351.2 3042.1 -2030.0 13 29537.5 5433.7 -1845.5 8815.8 -939.9 12124.4 351.2 4544.3 -2030.1 14 31039.9 6933.0 -1846.2 10317.0 -940.4 13626.8 351.2 6046.5 -2030.1 15 32542.4 8432.3 -1846.8 11818.1 -940.9 15129.2 351.2 7548.7 -2030.1 16 34044.9 9931.7 -1847.5 13319.3 -941.4 16631.6 351.2 9050.8 -2030.2 17 35547.3 11431.0 -1848.2 14820.4 -941.9 18134.0 351.2 10553.0 -2030.2 18 1049.8 12930.3 -1848.8 16321.6 -942.4 19636.5 351.1 12055.2 -2030.2 19 2552.3 14429.7 -1849.5 17822.7 -942.8 21138.9 351.1 13557.4 -2030.3 20 4054.7 15929.0 -1850.1 19323.9 -943.3 22641.3 351.1 15059.6 -2030.3 21 5557.2 17428.3 -1850.8 20825.0 -943.8 24143.7 351.1 16601.7 -2030.4 22 7059.7 18927.7 -1851.4 22326.2 -944.3 25646.1 351.1 18103.9 -2030.4 23 8602.1 20427.0 -1852.1 23827.3 -944.8 27148.5 351.1 19606.1 -2030.4 Mer.pass.:17:16 v-0.7 d-0.7 m-3.9 v1.1 d-0.5 m1.3 v2 .4 d-0.0 m-2.0 v2.2 d-0.0 m0.5
Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10104.6 21926.3 -1852.7 25328.5 -945.3 28650.9 351.1 21108.3 -2030.5 1 11607.0 23425.6 -1853.4 26829.6 -945.8 30153.4 351.1 22610.4 -2030.5 2 13109.5 24925.0 -1854.0 28330.8 -946.3 31655.8 351.1 24112.6 -2030.5 3 14612.0 26424.3 -1854.6 29831.9 -946.7 33158.2 351.1 25614.8 -2030.6 4 16114.4 27923.6 -1855.3 31333.1 -947.2 34700.6 351.1 27117.0 -2030.6 5 17616.9 29423.0 -1855.9 32834.2 -947.7 203.0 351.0 28619.2 -2030.6 6 19119.4 30922.3 -1856.6 34335.4 -948.2 1705.4 351.0 30121.3 -2030.7 7 20621.8 32421.6 -1857.2 35836.5 -948.7 3207.8 351.0 31623.5 -2030.7 8 22124.3 33920.9 -1857.9 1337.7 -949.2 4710.3 351.0 33125.7 -2030.7 9 23626.8 35420.3 -1858.5 2838.8 -949.7 6212.7 351.0 34627.9 -2030.8
10 25129.2 919.6 -1859.1 4340.0 -950.2 7715.1 351.0 130.0 -2030.8 11 26631.7 2418.9 -1859.8 5841.1 -950.6 9217.5 351.0 1632.2 -2030.9 12 28134.2 3918.2 -1900.4 7342.3 -951.1 10719.9 351.0 3134.4 -2030.9 13 29636.6 5417.6 -1901.1 8843.4 -951.6 12222.3 351.0 4636.6 -2030.9 14 31139.1 6916.9 -1901.7 10344.6 -952.1 13724.8 351.0 6138.8 -2031.0 15 32641.5 8416.2 -1902.3 11845.7 -952.6 15227.2 351.0 7640.9 -2031.0 16 34144.0 9915.5 -1903.0 13346.9 -953.1 16729.6 351.0 9143.1 -2031.0 17 35646.5 11414.8 -1903.6 14848.0 -953.6 18232.0 351.0 10645.3 -2031.1 18 1148.9 12914.2 -1904.2 16349.1 -954.0 19734.4 350.9 12147.5 -2031.1 19 2651.4 14413.5 -1904.9 17850.3 -954.5 21236.9 350.9 13649.7 -2031.1 20 4153.9 15912.8 -1905.5 19351.4 -955.0 22739.3 350.9 15151.8 -2031.2 21 5656.3 17412.1 -1906.1 20852.6 -955.5 24241.7 350.9 16654.0 -2031.2 22 7158.8 18911.4 -1906.8 22353.7 -956.0 25744.1 350.9 18156.2 -2031.2 23 8701.3 20410.8 -1907.4 23854.9 -956.5 27246.5 350.9 19658.4 -2031.3 Mer.pass.:17:12 v-0.7 d-0.6 m-3.9 v1.1 d-0.5 m1.2 v2 .4 d-0.0 m-2.0 v2.2 d-0.0 m0.5
Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10203.7 21910.1 -1908.0 25356.0 -956.9 28749.0 350.9 21200.6 -2031.3 1 11706.2 23409.4 -1908.6 26857.2 -957.4 30251.4 350.9 22702.7 -2031.4 2 13208.7 24908.7 -1909.3 28358.3 -957.9 31753.8 350.9 24204.9 -2031.4 3 14711.1 26408.0 -1909.9 29859.5 -958.4 33256.2 350.9 25707.1 -2031.4 4 16213.6 27907.3 -1910.5 31400.6 -958.9 34758.6 350.9 27209.3 -2031.5 5 17716.0 29406.7 -1911.1 32901.8 -959.4 301.1 350.9 28711.5 -2031.5 6 19218.5 30906.0 -1911.8 34402.9 -959.9 1803.5 350.9 30213.6 -2031.5 7 20721.0 32405.3 -1912.4 35904.1 -1000.3 3305.9 350.9 31715.8 -2031.6 8 22223.4 33904.6 -1913.0 1405.2 -1000.8 4808.3 350.9 33218.0 -2031.6 9 23725.9 35403.9 -1913.6 2906.4 -1001.3 6310.8 350.9 34720.2 -2031.6
10 25228.4 903.2 -1914.2 4407.6 -1001.8 7813.2 350.9 222.4 -2031.7 11 26730.8 2402.5 -1914.9 5908.7 -1002.3 9315.6 350.9 1724.5 -2031.7 12 28233.3 3901.8 -1915.5 7409.9 -1002.7 10818.0 350.9 3226.7 -2031.7 13 29735.8 5401.2 -1916.1 8911.0 -1003.2 12320.5 350.8 4728.9 -2031.8 14 31238.2 6900.5 -1916.7 10412.2 -1003.7 13822.9 350.8 6231.1 -2031.8 15 32740.7 8359.8 -1917.3 11913.3 -1004.2 15325.3 350.8 7733.3 -2031.8 16 34243.1 9859.1 -1917.9 13414.5 -1004.7 16827.7 350.8 9235.4 -2031.9 17 35745.6 11358.4 -1918.6 14915.6 -1005.2 18330.2 350.8 10737.6 -2031.9 18 1248.1 12857.7 -1919.2 16416.8 -1005.6 19832.6 350.8 12239.8 -2032.0 19 2750.5 14357.0 -1919.8 17917.9 -1006.1 21335.0 350.8 13742.0 -2032.0 20 4253.0 15856.3 -1920.4 19419.1 -1006.6 22837.4 350.8 15244.2 -2032.0 21 5755.5 17355.6 -1921.0 20920.2 -1007.1 24339.9 350.8 16746.3 -2032.1 22 7257.9 18854.9 -1921.6 22421.4 -1007.6 25842.3 350.8 18248.5 -2032.1 23 8800.4 20354.2 -1922.2 23922.5 -1008.0 27344.7 350.8 19750.7 -2032.1 Mer.pass.:17:08 v-0.7 d-0.6 m-3.9 v1.1 d-0.5 m1.2 v2 .4 d-0.0 m-2.0 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.7 2910.9 Ankaa 35314.1 -4213.4
Schedar 34938.4 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.5 -5709.7 Hamal 32758.7 2332.3 Polaris 31641.3 8920.1
Akamar 31516.8 -4014.8 Menkar 31413.0 409.0 Mirfak 30837.4 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.7 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.5
Sirius 25831.7 -1644.3 Adara 25510.8 -2859.9
Procyon 24457.5 510.9 Pollux 24325.2 2759.0
Avi or 23416.6 -5933.7 Suhail 22250.7 -4329.8
Miaplacidus 22138.4 -6946.9 Alphard 21754.1 -843.8 Regulus 20741.4 1153.2
Dubhe 19349.4 6139.5 Denebola 18231.8 1428.9
Gienah 17550.4 -1737.7 Acrux 17307.2 -6310.9
Gacrux 17158.8 -5711.9 Alioth 16619.4 5552.1 Spica 15829.5 -1114.5
Alcaid 15257.8 4913.8 Hadar 14845.5 -6026.6
Menkent 14805.6 -3626.6 Arcturus 14554.2 1906.2
Rigil Kent. 13949.6 -6053.6 Zubenelg. 13703.7 -1606.3
Kochab 13721.0 7405.2 Alphecca 12609.9 2639.7
Antares 11224.4 -2627.8 Atria 10725.2 -6903.0
S abi k 10210.9 -1544.4 Shaula 9620.0 -3706.6
Rasalhague 9605.2 1233.1 Etamin 9045.9 5129.3
Kaus Aust . 8341.9 -3422.4 Vega 8038.2 3848.1
Nunki 7556.6 -2616.4 Altair 6206.9 854.8
Peaco ck 5317.2 -5641.0 Deneb 4930.7 4520.5
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.8 2810.3
Markab 1336.7 1517.6
2016/1/1   SHA Mer.pass Venus 11936.8 09:22
Mars 15255.5 07:07 Jupiter 18547.6 04:56 Saturn 11010.6 09:57
2016/1/2   SHA Mer.pass Venus 11821.7 09:23
Mars 15223.9 07:06 Jupiter 18546.4 04:52 Saturn 11003.7 09:54
2016/1/3   SHA Mer.pass Venus 11706.4 09:24
Mars 15152.3 07:04 Jupiter 18545.2 04:48 Saturn 10956.8 09:51
Horizontal paralax Venus: 0.1
2016 January 01 to Jan. 03
h Sun Moon Fri GHA Dec GHA   ν    Dec d HP 0 17913.9 -2303.5 28303.3 15.2 127.6 -9.4 54.4 1 19413.6 -2303.4 29737.4 15.2 118.2 -9.4 54.4 2 20913.3 -2303.2 31211.6 15.2 108.8 -9.4 54.4 3 22413.0 -2303.0 32645.8 15.2 059.5 -9.4 54.4 4 23912.7 -2302.8 34120.0 15.2 050.1 -9.4 54.4 5 25412.4 -2302.6 35554.3 15.2 040.7 -9.4 54.4 6 26912.1 -2302.4 1028.5 15.2 031.3 -9.4 54.4 7 28411.8 -2302.2 2502.8 15.3 021.9 -9.4 54.4 8 29911.5 -2302.0 3937.0 15.3 012.6 -9.4 54.4 9 31411.2 -2301.8 5411.3 15.3 003.2 -9.4 54.3
10 32910.9 -2301.6 6845.6 15.3 -006.2 -9.4 54.3 11 34410.6 -2301.4 8319.9 15.3 -015.5 -9.4 54.3 12 35910.3 -2301.2 9754.2 15.3 -024.9 -9.4 54.3 13 1410.0 -2301.0 11228.5 15.3 -034.3 -9.4 54.3 14 2909.7 -2300.8 12702.8 15.3 -043.6 -9.3 54.3 15 4409.4 -2300.6 14137.1 15.3 -052.9 -9.3 54.3 16 5909.1 -2300.4 15611.4 15.3 -102.3 -9.3 54.3 17 7408.9 -2300.2 17045.8 15.3 -111.6 -9.3 54.3 18 8908.6 -2260.0 18520.1 15.3 -120.9 -9.3 54.3 19 10408.3 -2259.8 19954.4 15.3 -130.3 -9.3 54.3 20 11908.0 -2259.6 21428.8 15.3 -139.6 -9.3 54.3 21 13407.7 -2259.4 22903.1 15.3 -148.9 -9.3 54.3 22 14907.4 -2259.1 24337.5 15.3 -158.2 -9.3 54.3 23 16407.1 -2258.9 25811.8 15.3 -207.5 -9.3 54.3
SD.=16.3 d=0.2 S.D.=14.8
Sat GHA Dec GHA   ν    Dec d HP 0 17906.8 -2258.7 27246.1 15.3 -216.7 -9.3 54.3 1 19406.5 -2258.5 28720.5 15.3 -226.0 -9.3 54.3 2 20906.2 -2258.3 30154.8 15.3 -235.2 -9.2 54.3 3 22405.9 -2258.1 31629.1 15.3 -244.5 -9.2 54.2 4 23905.6 -2257.9 33103.4 15.3 -253.7 -9.2 54.2 5 25405.3 -2257.7 34537.8 15.3 -302.9 -9.2 54.2 6 26905.0 -2257.5 012.1 15.3 -312.1 -9.2 54.2 7 28404.7 -2257.2 1446.4 15.3 -321.3 -9.2 54.2 8 29904.4 -2257.0 2920.7 15.3 -330.5 -9.2 54.2 9 31404.1 -2256.8 4355.0 15.3 -339.7 -9.2 54.2
10 32903.9 -2256.6 5829.3 15.3 -348.8 -9.1 54.2 11 34403.6 -2256.4 7303.5 15.3 -357.9 -9.1 54.2 12 35903.3 -2256.2 8737.8 15.3 -407.1 -9.1 54.2 13 1403.0 -2255.9 10212.0 15.2 -416.2 -9.1 54.2 14 2902.7 -2255.7 11646.3 15.2 -425.2 -9.1 54.2 15 4402.4 -2255.5 13120.5 15.2 -434.3 -9.1 54.2 16 5902.1 -2255.3 14554.7 15.2 -443.3 -9.0 54.2 17 7401.8 -2255.0 16028.9 15.2 -452.4 -9.0 54.2 18 8901.5 -2254.8 17503.1 15.2 -501.4 -9.0 54.2 19 10401.2 -2254.6 18937.3 15.2 -510.4 -9.0 54.2 20 11900.9 -2254.4 20411.4 15.1 -519.3 -9.0 54.2 21 13400.6 -2254.1 21845.6 15.1 -528.3 -8.9 54.2 22 14900.4 -2253.9 23319.7 15.1 -537.2 -8.9 54.3 23 16400.1 -2253.7 24753.8 15.1 -546.1 -8.9 54.3
SD.=16.3 d=0.2 S.D.=14.8
Sun GHA Dec GHA   ν    Dec d HP 0 17859.8 -2253.5 26227.9 15.1 -555.0 -8.9 54.3 1 19359.5 -2253.2 27701.9 15.1 -603.9 -8.9 54.3 2 20859.2 -2253.0 29136.0 15.0 -612.7 -8.8 54.3 3 22358.9 -2252.8 30610.0 15.0 -621.5 -8.8 54.3 4 23858.6 -2252.5 32044.0 15.0 -630.3 -8.8 54.3 5 25358.3 -2252.3 33518.0 15.0 -639.1 -8.8 54.3 6 26858.0 -2252.1 34951.9 14.9 -647.8 -8.7 54.3 7 28357.7 -2251.8 425.9 14.9 -656.5 -8.7 54.3 8 29857.4 -2251.6 1859.8 14.9 -705.2 -8.7 54.3 9 31357.2 -2251.4 3333.6 14.9 -713.9 -8.6 54.3
10 32856.9 -2251.1 4807.5 14.8 -722.5 -8.6 54.3 11 34356.6 -2250.9 6241.3 14.8 -731.1 -8.6 54.3 12 35856.3 -2250.7 7715.1 14.8 -739.7 -8.6 54.3 13 1356.0 -2250.4 9148.9 14.8 -748.3 -8.5 54.3 14 2855.7 -2250.2 10622.6 14.7 -756.8 -8.5 54.3 15 4355.4 -2249.9 12056.3 14.7 -805.3 -8.5 54.3 16 5855.1 -2249.7 13530.0 14.7 -813.7 -8.4 54.4 17 7354.8 -2249.4 15003.7 14.6 -822.2 -8.4 54.4 18 8854.6 -2249.2 16437.3 14.6 -830.6 -8.4 54.4 19 10354.3 -2249.0 17910.9 14.6 -838.9 -8.4 54.4 20 11854.0 -2248.7 19344.4 14.5 -847.3 -8.3 54.4 21 13353.7 -2248.5 20817.9 14.5 -855.6 -8.3 54.4 22 14853.4 -2248.2 22251.4 14.5 -903.8 -8.2 54.4 23 16353.1 -2248.0 23724.9 14.4 -912.1 -8.2 54.4
SD.=16.3 d=0.2 S.D.=14.8
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 08:23 10:41 –:– –:– 13:27 15:45 70 08:05 09:49 –:– –:– 14:19 16:03 68 07:50 09:16 –:– –:– 14:52 16:18 66 07:37 08:53 10:27 13:41 15:15 16:31 64 07:26 08:34 09:49 14:19 15:34 16:41 62 07:17 08:18 09:22 14:45 15:49 16:51 60 07:09 08:05 09:02 15:06 16:02 16:59 58 07:02 07:54 08:45 15:23 16:14 17:06 56 06:56 07:44 08:31 15:37 16:24 17:12 54 06:50 07:35 08:19 15:49 16:32 17:18 52 06:44 07:28 08:08 15:60 16:40 17:24 50 06:39 07:20 07:58 16:09 16:47 17:29 45 06:28 07:05 07:38 16:29 17:03 17:40 40 06:18 06:52 07:22 16:46 17:16 17:50 35 06:08 06:40 07:08 16:60 17:28 17:59 30 05:60 06:30 06:56 17:12 17:38 18:08 20 05:44 06:11 06:35 17:32 17:56 18:24 10 05:28 05:54 06:17 17:50 18:13 18:39 0 05:11 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 04:60 05:24 18:43 19:08 19:37 -30 04:02 04:35 05:03 19:05 19:32 20:05 -35 03:44 04:20 04:50 19:17 19:47 20:23 -40 03:21 04:03 04:35 19:32 20:05 20:46 -45 02:52 03:41 04:18 19:50 20:27 21:15 -50 02:08 03:12 03:56 20:11 20:55 21:59 -52 01:42 02:57 03:45 20:22 21:10 22:24 -54 01:02 02:40 03:33 20:34 21:27 23:03 -56 –:– 02:19 03:19 20:48 21:48 –:– -58 –:– 01:51 03:03 21:04 22:15 –:– -60 –:– 01:08 02:44 21:23 22:58 –:–
Moonrise Moonset Lat.   Fri Sat Sun Fri Sat Sun 72 –:– 00:19 01:53 11:22 11:17 11:12 70 –:– 00:16 01:43 11:23 11:23 11:23 68 –:– 00:13 01:36 11:23 11:27 11:32 66 –:– 00:11 01:30 11:24 11:31 11:40 64 –:– 00:09 01:24 11:24 11:35 11:46 62 –:– 00:07 01:20 11:24 11:37 11:51 60 –:– 00:06 01:16 11:24 11:40 11:56 58 –:– 00:04 01:12 11:25 11:42 12:01 56 –:– 00:03 01:09 11:25 11:44 12:04 54 –:– 00:02 01:06 11:25 11:46 12:08 52 –:– 00:01 01:04 11:25 11:48 12:11 50 –:– 00:00 01:02 11:25 11:49 12:14 45 23:58 –:– 00:57 11:26 11:52 12:20 40 23:57 –:– 00:53 11:26 11:55 12:25 35 23:56 –:– 00:49 11:26 11:57 12:30 30 23:54 –:– 00:46 11:26 11:60 12:34 20 23:52 –:– 00:40 11:27 12:03 12:40 10 23:51 –:– 00:36 11:27 12:06 12:46 0 23:49 –:– 00:31 11:27 12:09 12:52
-10 23:47 –:– 00:27 11:27 12:12 12:58 -20 23:46 –:– 00:22 11:28 12:16 13:04 -30 23:44 –:– 00:17 11:28 12:19 13:11 -35 23:43 –:– 00:14 11:28 12:21 13:15 -40 23:41 –:– 00:11 11:28 12:24 13:19 -45 23:40 –:– 00:07 11:28 12:27 13:25 -50 23:38 –:– 00:02 11:29 12:30 13:31 -52 23:37 –:– 00:00 11:29 12:31 13:34 -54 23:37 23:58 –:– 11:29 12:33 13:37 -56 23:36 23:55 –:– 11:29 12:35 13:41 -58 23:35 23:53 –:– 11:29 12:37 13:45 -60 23:34 23:49 –:– 11:29 12:39 13:49
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 1 03:05 03:19 12:03 05:16 17:38 21(57%) 2 03:33 03:47 12:03 05:59 18:20 22(48%) 3 04:01 04:15 12:04 06:41 19:03 23(38%)
3
 
January 04, 05 ,06 (Mon., Tue., Wed.) Aries Venus Mars Jupiter Saturn
Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10302.9 21853.5 -1922.8 25423.7 -1008.5 28847.1 350.8 21252.9 -2032.2 1 11805.3 23352.9 -1923.4 26924.8 -1009.0 30349.6 350.8 22755.1 -2032.2 2 13307.8 24852.2 -1924.0 28426.0 -1009.5 31852.0 350.8 24257.2 -2032.2 3 14810.3 26351.5 -1924.6 29927.1 -1010.0 33354.4 350.8 25759.4 -2032.3 4 16312.7 27850.8 -1925.2 31428.3 -1010.5 34856.9 350.8 27301.6 -2032.3 5 17815.2 29350.1 -1925.8 32929.4 -1010.9 359.3 350.8 28803.8 -2032.3 6 19317.6 30849.4 -1926.4 34430.6 -1011.4 1901.7 350.8 30306.0 -2032.4 7 20820.1 32348.7 -1927.0 35931.7 -1011.9 3404.2 350.8 31808.2 -2032.4 8 22322.6 33848.0 -1927.6 1432.9 -1012.4 4906.6 350.8 33310.3 -2032.4 9 23825.0 35347.3 -1928.2 2934.0 -1012.9 6409.0 350.8 34812.5 -2032.5
10 25327.5 846.6 -1928.8 4435.2 -1013.3 7911.4 350.8 314.7 -2032.5 11 26830.0 2345.9 -1929.4 5936.3 -1013.8 9413.9 350.8 1816.9 -2032.5 12 28332.4 3845.2 -1930.0 7437.5 -1014.3 10916.3 350.8 3319.1 -2032.6 13 29834.9 5344.5 -1930.6 8938.6 -1014.8 12418.7 350.8 4821.2 -2032.6 14 31337.4 6843.8 -1931.2 10439.8 -1015.2 13921.2 350.8 6323.4 -2032.6 15 32839.8 8343.1 -1931.8 11941.0 -1015.7 15423.6 350.8 7825.6 -2032.7 16 34342.3 9842.4 -1932.4 13442.1 -1016.2 16926.0 350.8 9327.8 -2032.7 17 35844.8 11341.7 -1933.0 14943.3 -1016.7 18428.5 350.8 10830.0 -2032.7 18 1347.2 12841.0 -1933.6 16444.4 -1017.2 19930.9 350.8 12332.2 -2032.8 19 2849.7 14340.3 -1934.2 17945.6 -1017.6 21433.3 350.8 13834.3 -2032.8 20 4352.1 15839.6 -1934.8 19446.7 -1018.1 22935.8 350.8 15336.5 -2032.9 21 5854.6 17338.9 -1935.4 20947.9 -1018.6 24438.2 350.8 16838.7 -2032.9 22 7357.1 18838.1 -1936.0 22449.0 -1019.1 25940.6 350.8 18340.9 -2032.9 23 8859.5 20337.4 -1936.6 23950.2 -1019.6 27443.1 350.8 19843.1 -2033.0 Mer.pass.:1 7:05 v-0.7 d-0.6 m-3.9 v1.2 d-0.5 m1.2 v2.4 d-0.0 m-2.0 v2.2 d-0.0 m0.5
Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10402.0 21836.7 -1937.1 25451.3 -1020.0 28945.5 350.8 21345.3 -2033.0 1 11904.5 23336.0 -1937.7 26952.5 -1020.5 30448.0 350.8 22847.4 -2033.0 2 13406.9 24835.3 -1938.3 28453.6 -1021.0 31950.4 350.8 24349.6 -2033.1 3 14909.4 26334.6 -1938.9 29954.8 -1021.5 33452.8 350.8 25851.8 -2033.1 4 16411.9 27833.9 -1939.5 31455.9 -1021.9 34955.3 350.8 27354.0 -2033.1 5 17914.3 29333.2 -1940.1 32957.1 -1022.4 457.7 350.8 28856.2 -2033.2 6 19416.8 30832.5 -1940.6 34458.3 -1022.9 2000.1 350.8 30358.4 -2033.2 7 20919.3 32331.8 -1941.2 35959.4 -1023.4 3502.6 350.8 31900.5 -2033.2 8 22421.7 33831.1 -1941.8 1500.6 -1023.8 5005.0 350.8 33402.7 -2033.3 9 23924.2 35330.4 -1942.4 3001.7 -1024.3 6507.5 350.8 34904.9 -2033.3
10 25426.6 829.6 -1943.0 4502.9 -1024.8 8009.9 350.8 407.1 -2033.3 11 26929.1 2328.9 -1943.5 6004.0 -1025.3 9512.3 350.8 1909.3 -2033.4 12 28431.6 3828.2 -1944.1 7505.2 -1025.7 11014.8 350.8 3411.5 -2033.4 13 29934.0 5327.5 -1944.7 9006.3 -1026.2 12517.2 350.8 4913.6 -2033.4 14 31436.5 6826.8 -1945.3 10507.5 -1026.7 14019.7 350.8 6415.8 -2033.5 15 32939.0 8326.1 -1945.8 12008.6 -1027.2 15522.1 350.8 7918.0 -2033.5 16 34441.4 9825.4 -1946.4 13509.8 -1027.6 17024.5 350.8 9420.2 -2033.5 17 35943.9 11324.7 -1947.0 15011.0 -1028.1 18527.0 350.8 10922.4 -2033.6 18 1446.4 12823.9 -1947.5 16512.1 -1028.6 20029.4 350.8 12424.6 -2033.6 19 2948.8 14323.2 -1948.1 18013.3 -1029.1 21531.9 350.8 13926.7 -2033.6 20 4451.3 15822.5 -1948.7 19514.4 -1029.5 23034.3 350.8 15428.9 -2033.7 21 5953.7 17321.8 -1949.2 21015.6 -1030.0 24536.7 350.8 16931.1 -2033.7 22 7456.2 18821.1 -1949.8 22516.7 -1030.5 26039.2 350.8 18433.3 -2033.7 23 8958.7 20320.4 -1950.4 24017.9 -1031.0 27541.6 350.8 19935.5 -2033.8 Mer.pass.:17:01 v-0.7 d-0.6 m-3.9 v1.2 d-0.5 m1.2 v2.4 d0.0 m-2.0 v2.2 d-0.0 m0.5
Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10501.1 21819.6 -1950.9 25519.0 -1031.4 29044.1 350.8 21437.7 -2033.8 1 12003.6 23318.9 -1951.5 27020.2 -1031.9 30546.5 350.8 22939.9 -2033.8 2 13506.1 24818.2 -1952.1 28521.4 -1032.4 32049.0 350.8 24442.0 -2033.9 3 15008.5 26317.5 -1952.6 30022.5 -1032.9 33551.4 350.8 25944.2 -2033.9 4 16511.0 27816.8 -1953.2 31523.7 -1033.3 35053.8 350.9 27446.4 -2033.9 5 18013.5 29316.0 -1953.8 33024.8 -1033.8 556.3 350.9 28948.6 -2034.0 6 19515.9 30815.3 -1954.3 34526.0 -1034.3 2058.7 350.9 30450.8 -2034.0 7 21018.4 32314.6 -1954.9 027.1 -1034.8 3601.2 350.9 31953.0 -2034.0 8 22520.9 33813.9 -1955.4 1528.3 -1035.2 5103.6 350.9 33455.1 -2034.1 9 24023.3 35313.2 -1956.0 3029.4 -1035.7 6606.1 350.9 34957.3 -2034.1
10 25525.8 812.4 -1956.5 4530.6 -1036.2 8108.5 350.9 459.5 -2034.1 11 27028.2 2311.7 -1957.1 6031.8 -1036.6 9611.0 350.9 2001.7 -2034.2 12 28530.7 3811.0 -1957.7 7532.9 -1037.1 11113.4 350.9 3503.9 -2034.2 13 30033.2 5310.3 -1958.2 9034.1 -1037.6 12615.9 350.9 5006.1 -2034.2 14 31535.6 6809.5 -1958.8 10535.2 -1038.1 14118.3 350.9 6508.3 -2034.3 15 33038.1 8308.8 -1959.3 12036.4 -1038.5 15620.8 350.9 8010.4 -2034.3 16 34540.6 9808.1 -1959.9 13537.5 -1039.0 17123.2 350.9 9512.6 -2034.3 17 043.0 11307.4 -2000.4 15038.7 -1039.5 18625.6 350.9 11014.8 -2034.4 18 1545.5 12806.6 -2001.0 16539.9 -1039.9 20128.1 350.9 12517.0 -2034.4 19 3048.0 14305.9 -2001.5 18041.0 -1040.4 21630.5 350.9 14019.2 -2034.4 20 4550.4 15805.2 -2002.1 19542.2 -1040.9 23133.0 350.9 15521.4 -2034.5 21 6052.9 17304.5 -2002.6 21043.3 -1041.4 24635.4 350.9 17023.6 -2034.5 22 7555.4 18803.7 -2003.1 22544.5 -1041.8 26137.9 351.0 18525.7 -2034.5 23 9057.8 20303.0 -2003.7 24045.6 -1042.3 27640.3 351.0 20027.9 -2034.6 Mer.pass.:16:57 v-0.7 d-0.6 m-3.9 v1.2 d-0.5 m1.2 v2.4 d0.0 m-2.0 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.7 2910.9 Ankaa 35314.1 -4213.4
Schedar 34938.4 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.5 -5709.7 Hamal 32758.7 2332.3 Polaris 31642.3 8920.1
Akamar 31516.8 -4014.8 Menkar 31413.0 409.0 Mirfak 30837.5 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.7 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.5
Sirius 25831.7 -1644.4 Adara 25510.8 -2859.9
Procyon 24457.5 510.9 Pollux 24325.2 2759.0
Avi or 23416.6 -5933.7 Suhail 22250.7 -4329.9
Miaplacidus 22138.3 -6946.9 Alphard 21754.1 -843.8 Regulus 20741.4 1153.1
Dubhe 19349.4 6139.6 Denebola 18231.8 1428.8
Gienah 17550.4 -1737.8 Acrux 17307.1 -6310.9
Gacrux 17158.8 -5711.9 Alioth 16619.4 5552.1 Spica 15829.5 -1114.6
Alcaid 15257.7 4913.8 Hadar 14845.5 -6026.6
Menkent 14805.6 -3626.6 Arcturus 14554.2 1906.2
Rigil Kent. 13949.5 -6053.6 Zubenelg. 13703.7 -1606.3
Kochab 13720.9 7405.2 Alphecca 12609.8 2639.7
Antares 11224.4 -2627.8 Atria 10725.1 -6903.0
S abi k 10210.9 -1544.4 Shaula 9620.0 -3706.6
Rasalhague 9605.2 1233.1 Etamin 9045.9 5129.3
Kaus Aust . 8341.9 -3422.4 Vega 8038.2 3848.0
Nunki 7556.6 -2616.4 Altair 6206.9 854.8
Peaco ck 5317.2 -5640.9 Deneb 4930.7 4520.5
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.9 2810.3
Markab 1336.7 1517.6
2016/1/4   SHA Mer.pass Venus 11550.7 09:25
Mars 15120.8 07:02 Jupiter 18544.3 04:44 Saturn 10950.0 09:47
2016/1/5   SHA Mer.pass Venus 11434.7 09:26
Mars 15049.3 07:00 Jupiter 18543.5 04:40 Saturn 10943.3 09:44
2016/1/6   SHA Mer.pass Venus 11318.5 09:27
Mars 15017.9 06:58 Jupiter 18542.9 04:36 Saturn 10936.5 09:40
Horizontal paralax Venus: 0.1
2016 January 04 to Jan. 06
h Sun Moon Mon GHA Dec GHA   ν    Dec d HP
0 17852.8 -2247.7 25158.3 14.4 -920.3 -8.2 54.4 1 19352.5 -2247.5 26631.7 14.4 -928.4 -8.1 54.4 2 20852.3 -2247.2 28105.0 14.3 -936.6 -8.1 54.5 3 22352.0 -2247.0 29538.3 14.3 -944.6 -8.1 54.5 4 23851.7 -2246.7 31011.6 14.2 -952.7 -8.0 54.5 5 25351.4 -2246.5 32444.8 14.2 -1000.7 -8.0 54.5 6 26851.1 -2246.2 33918.0 14.2 -1008.7 -8.0 54.5 7 28350.8 -2246.0 35351.2 14.1 -1016.6 -7.9 54.5 8 29850.5 -2245.7 824.3 14.1 -1024.5 -7.9 54.5 9 31350.3 -2245.5 2257.3 14.1 -1032.4 -7.8 54.5
10 32850.0 -2245.2 3730.4 14.0 -1040.2 -7.8 54.6 11 34349.7 -2245.0 5203.4 14.0 -1048.0 -7.8 54.6 12 35849.4 -2244.7 6636.3 13.9 -1055.7 -7.7 54.6 13 1349.1 -2244.4 8109.2 13.9 -1103.4 -7.7 54.6 14 2848.8 -2244.2 9542.1 13.8 -1111.0 -7.6 54.6 15 4348.5 -2243.9 11014.9 13.8 -1118.6 -7.6 54.6 16 5848.3 -2243.7 12447.7 13.7 -1126.2 -7.5 54.6 17 7348.0 -2243.4 13920.4 13.7 -1133.7 -7.5 54.7 18 8847.7 -2243.1 15353.1 13.7 -1141.2 -7.4 54.7 19 10347.4 -2242.9 16825.7 13.6 -1148.6 -7.4 54.7 20 11847.1 -2242.6 18258.3 13.6 -1156.0 -7.4 54.7 21 13346.8 -2242.3 19730.8 13.5 -1203.3 -7.3 54.7 22 14846.6 -2242.1 21203.3 13.5 -1210.6 -7.3 54.7 23 16346.3 -2241.8 22635.8 13.4 -1217.8 -7.2 54.8
SD.=16.3 d=0.2 S.D.=14.9
Tue GHA Dec GHA   ν    Dec d HP 0 17846.0 -2241.5 24108.2 13.4 -1225.0 -7.2 54.8 1 19345.7 -2241.3 25540.5 13.3 -1232.1 -7.1 54.8 2 20845.4 -2241.0 27012.8 13.3 -1239.2 -7.1 54.8 3 22345.1 -2240.7 28445.1 13.2 -1246.2 -7.0 54.8 4 23844.9 -2240.5 29917.3 13.2 -1253.2 -7.0 54.8 5 25344.6 -2240.2 31349.4 13.1 -1300.2 -6.9 54.9 6 26844.3 -2239.9 32821.5 13.1 -1307.0 -6.8 54.9 7 28344.0 -2239.7 34253.6 13.0 -1313.8 -6.8 54.9 8 29843.7 -2239.4 35725.6 13.0 -1320.6 -6.7 54.9 9 31343.4 -2239.1 1157.5 12.9 -1327.3 -6.7 54.9
10 32843.2 -2238.8 2629.4 12.9 -1334.0 -6.6 55.0 11 34342.9 -2238.6 4101.2 12.8 -1340.6 -6.6 55.0 12 35842.6 -2238.3 5533.0 12.8 -1347.1 -6.5 55.0 13 1342.3 -2238.0 7004.8 12.7 -1353.6 -6.5 55.0 14 2842.0 -2237.7 8436.4 12.7 -1400.0 -6.4 55.0 15 4341.8 -2237.5 9908.1 12.6 -1406.4 -6.3 55.1 16 5841.5 -2237.2 11339.6 12.5 -1412.7 -6.3 55.1 17 7341.2 -2236.9 12811.2 12.5 -1418.9 -6.2 55.1 18 8840.9 -2236.6 14242.6 12.4 -1425.1 -6.1 55.1 19 10340.6 -2236.3 15714.0 12.4 -1431.2 -6.1 55.1 20 11840.4 -2236.1 17145.4 12.3 -1437.3 -6.0 55.2 21 13340.1 -2235.8 18616.7 12.3 -1443.3 -6.0 55.2 22 14839.8 -2235.5 20047.9 12.2 -1449.2 -5.9 55.2 23 16339.5 -2235.2 21519.1 12.2 -1455.1 -5.8 55.2
SD.=16.3 d=0.3 S.D.=14.9
Wed GHA Dec GHA   ν    Dec d HP 0 17839.2 -2234.9 22950.2 12.1 -1500.9 -5.8 55.2 1 19339.0 -2234.6 24421.3 12.0 -1506.6 -5.7 55.3 2 20838.7 -2234.3 25852.3 12.0 -1512.3 -5.6 55.3 3 22338.4 -2234.1 27323.3 11.9 -1517.8 -5.6 55.3 4 23838.1 -2233.8 28754.2 11.9 -1523.4 -5.5 55.3 5 25337.9 -2233.5 30225.0 11.8 -1528.8 -5.4 55.4 6 26837.6 -2233.2 31655.8 11.8 -1534.2 -5.4 55.4 7 28337.3 -2232.9 33126.5 11.7 -1539.6 -5.3 55.4 8 29837.0 -2232.6 34557.2 11.6 -1544.8 -5.2 55.4 9 31336.7 -2232.3 027.8 11.6 -1550.0 -5.1 55.5
10 32836.5 -2232.0 1458.4 11.5 -1555.1 -5.1 55.5 11 34336.2 -2231.7 2928.9 11.5 -1600.1 -5.0 55.5 12 35835.9 -2231.4 4359.3 11.4 -1605.1 -4.9 55.5 13 1335.6 -2231.1 5829.7 11.4 -1610.0 -4.8 55.6 14 2835.4 -2230.8 7300.1 11.3 -1614.8 -4.8 55.6 15 4335.1 -2230.5 8730.3 11.2 -1619.5 -4.7 55.6 16 5834.8 -2230.2 10200.5 11.2 -1624.2 -4.6 55.6 17 7334.5 -2229.9 11630.7 11.1 -1628.7 -4.5 55.7 18 8834.3 -2229.6 13100.8 11.1 -1633.2 -4.5 55.7 19 10334.0 -2229.3 14530.8 11.0 -1637.7 -4.4 55.7 20 11833.7 -2229.0 16000.8 11.0 -1642.0 -4.3 55.7 21 13333.4 -2228.7 17430.8 10.9 -1646.3 -4.2 55.8 22 14833.2 -2228.4 18900.6 10.8 -1650.5 -4.1 55.8 23 16332.9 -2228.1 20330.5 10.8 -1654.6 -4.1 55.8
SD.=16.3 d=0.3 S.D.=15.1
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 08:20 10:31 –:– –:– 13:39 15:51 70 08:02 09:44 –:– –:– 14:27 16:09 68 07:47 09:13 11:33 12:38 14:58 16:23 66 07:35 08:50 10:21 13:50 15:21 16:35 64 07:25 08:32 09:45 14:25 15:39 16:46 62 07:16 08:17 09:20 14:51 15:54 16:55 60 07:08 08:04 09:00 15:11 16:06 17:02 58 07:01 07:53 08:44 15:27 16:17 17:09 56 06:55 07:44 08:30 15:41 16:27 17:16 54 06:49 07:35 08:18 15:53 16:36 17:21 52 06:44 07:27 08:07 16:03 16:43 17:27 50 06:39 07:20 07:58 16:13 16:51 17:32 45 06:28 07:05 07:38 16:32 17:06 17:43 40 06:18 06:52 07:22 16:48 17:19 17:53 35 06:09 06:41 07:08 17:02 17:30 18:01 30 06:01 06:30 06:57 17:14 17:40 18:10 20 05:45 06:12 06:36 17:34 17:58 18:25 10 05:29 05:56 06:18 17:52 18:15 18:41 0 05:13 05:39 06:01 18:09 18:31 18:57
-10 04:55 05:22 05:44 18:26 18:49 19:16 -20 04:33 05:02 05:26 18:44 19:08 19:37 -30 04:05 04:38 05:05 19:05 19:32 20:05 -35 03:47 04:23 04:52 19:18 19:47 20:23 -40 03:24 04:05 04:38 19:32 20:05 20:45 -45 02:55 03:44 04:21 19:49 20:26 21:14 -50 02:13 03:15 03:59 20:11 20:54 21:57 -52 01:48 03:01 03:49 20:21 21:08 22:21 -54 01:11 02:44 03:37 20:33 21:25 22:57 -56 –:– 02:24 03:24 20:46 21:45 –:– -58 –:– 01:57 03:08 21:02 22:12 –:– -60 –:– 01:17 02:49 21:21 22:50 –:–
Moonrise Moonset Lat.   Mon Tue Wed Mon Tue Wed 72 03:28 05:08 06:55 11:06 10:60 10:51 70 03:12 04:43 06:15 11:24 11:27 11:32 68 02:59 04:23 05:48 11:38 11:47 12:00 66 02:49 04:08 05:27 11:50 12:03 12:22 64 02:40 03:56 05:10 11:59 12:16 12:39 62 02:32 03:45 04:57 12:08 12:27 12:53 60 02:26 03:36 04:45 12:15 12:37 13:05 58 02:20 03:28 04:35 12:21 12:45 13:15 56 02:15 03:21 04:27 12:27 12:53 13:24 54 02:11 03:15 04:19 12:32 12:59 13:32 52 02:07 03:10 04:12 12:36 13:05 13:39 50 02:03 03:05 04:06 12:41 13:11 13:46 45 01:55 02:54 03:53 12:50 13:22 13:60 40 01:48 02:45 03:42 12:57 13:32 14:11 35 01:43 02:37 03:32 13:04 13:40 14:21 30 01:38 02:30 03:24 13:09 13:48 14:30 20 01:29 02:19 03:10 13:19 14:00 14:45 10 01:22 02:09 02:58 13:28 14:11 14:58 0 01:15 01:60 02:46 13:36 14:22 15:10
-10 01:08 01:50 02:35 13:44 14:32 15:22 -20 01:00 01:40 02:23 13:53 14:43 15:35 -30 00:52 01:29 02:09 14:03 14:56 15:50 -35 00:47 01:23 02:01 14:09 15:04 15:59 -40 00:42 01:15 01:52 14:15 15:12 16:09 -45 00:36 01:07 01:42 14:23 15:22 16:21 -50 00:28 00:56 01:29 14:32 15:34 16:35 -52 00:25 00:52 01:23 14:37 15:39 16:41 -54 00:21 00:46 01:16 14:41 15:46 16:49 -56 00:17 00:41 01:09 14:47 15:52 16:57 -58 00:12 00:34 01:01 14:53 16:00 17:06 -60 00:07 00:27 00:52 14:59 16:09 17:17
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 4 04:29 04:42 12:04 07:25 19:47 24(29%) 5 04:56 05:10 12:05 08:10 20:34 25(21%) 6 05:23 05:36 12:05 08:58 21:22 26(14%)
5
 
January 07, 08 ,09 (Thu., Fri., Sat.) Aries Venus Mars Jupiter Saturn
Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10600.3 21802.3 -2004.2 25546.8 -1042.8 29142.8 351.0 21530.1 -2034.6 1 12102.7 23301.5 -2004.8 27048.0 -1043.2 30645.2 351.0 23032.3 -2034.6 2 13605.2 24800.8 -2005.3 28549.1 -1043.7 32147.7 351.0 24534.5 -2034.7 3 15107.7 26300.1 -2005.9 30050.3 -1044.2 33650.1 351.0 26036.7 -2034.7 4 16610.1 27759.4 -2006.4 31551.4 -1044.7 35152.6 351.0 27538.9 -2034.7 5 18112.6 29258.6 -2006.9 33052.6 -1045.1 655.1 351.0 29041.1 -2034.8 6 19615.1 30757.9 -2007.5 34553.7 -1045.6 2157.5 351.0 30543.2 -2034.8 7 21117.5 32257.2 -2008.0 054.9 -1046.1 3660.0 351.0 32045.4 -2034.8 8 22620.0 33756.4 -2008.5 1556.1 -1046.5 5202.4 351.0 33547.6 -2034.9 9 24122.5 35255.7 -2009.1 3057.2 -1047.0 6704.9 351.0 35049.8 -2034.9
10 25624.9 755.0 -2009.6 4558.4 -1047.5 8207.3 351.0 552.0 -2034.9 11 27127.4 2254.2 -2010.1 6059.5 -1047.9 9709.8 351.0 2054.2 -2035.0 12 28629.9 3753.5 -2010.7 7600.7 -1048.4 11212.2 351.1 3556.4 -2035.0 13 30132.3 5252.8 -2011.2 9101.9 -1048.9 12714.7 351.1 5058.6 -2035.0 14 31634.8 6752.0 -2011.7 10603.0 -1049.3 14217.1 351.1 6600.7 -2035.1 15 33137.2 8251.3 -2012.3 12104.2 -1049.8 15719.6 351.1 8102.9 -2035.1 16 34639.7 9750.5 -2012.8 13605.3 -1050.3 17222.0 351.1 9605.1 -2035.1 17 142.2 11249.8 -2013.3 15106.5 -1050.7 18724.5 351.1 11107.3 -2035.2 18 1644.6 12749.1 -2013.8 16607.7 -1051.2 20227.0 351.1 12609.5 -2035.2 19 3147.1 14248.3 -2014.4 18108.8 -1051.7 21729.4 351.1 14111.7 -2035.2 20 4649.6 15747.6 -2014.9 19610.0 -1052.1 23231.9 351.1 15613.9 -2035.3 21 6152.0 17246.9 -2015.4 21111.1 -1052.6 24734.3 351.1 17116.1 -2035.3 22 7654.5 18746.1 -2015.9 22612.3 -1053.1 26236.8 351.1 18618.2 -2035.3 23 9157.0 20245.4 -2016.5 24113.4 -1053.5 27739.2 351.2 20120.4 -2035.4 Mer.pass.:16:53 v-0.7 d-0.5 m-3.9 v1.2 d-0.5 m1.2 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10659.4 21744.6 -2017.0 25614.6 -1054.0 29241.7 351.2 21622.6 -2035.4 1 12201.9 23243.9 -2017.5 27115.8 -1054.5 30744.2 351.2 23124.8 -2035.4 2 13704.3 24743.2 -2018.0 28616.9 -1054.9 32246.6 351.2 24627.0 -2035.5 3 15206.8 26242.4 -2018.5 30118.1 -1055.4 33749.1 351.2 26129.2 -2035.5 4 16709.3 27741.7 -2019.1 31619.2 -1055.9 35251.5 351.2 27631.4 -2035.5 5 18211.7 29240.9 -2019.6 33120.4 -1056.3 754.0 351.2 29133.6 -2035.6 6 19714.2 30740.2 -2020.1 34621.6 -1056.8 2256.5 351.2 30635.8 -2035.6 7 21216.7 32239.5 -2020.6 122.7 -1057.3 3758.9 351.2 32137.9 -2035.6 8 22719.1 33738.7 -2021.1 1623.9 -1057.7 5301.4 351.3 33640.1 -2035.7 9 24221.6 35238.0 -2021.6 3125.0 -1058.2 6803.8 351.3 35142.3 -2035.7
10 25724.1 737.2 -2022.1 4626.2 -1058.7 8306.3 351.3 644.5 -2035.7 11 27226.5 2236.5 -2022.7 6127.4 -1059.1 9808.8 351.3 2146.7 -2035.8 12 28729.0 3735.7 -2023.2 7628.5 -1059.6 11311.2 351.3 3648.9 -2035.8 13 30231.5 5235.0 -2023.7 9129.7 -1100.1 12813.7 351.3 5151.1 -2035.8 14 31733.9 6734.2 -2024.2 10630.9 -1100.5 14316.1 351.3 6653.3 -2035.9 15 33236.4 8233.5 -2024.7 12132.0 -1101.0 15818.6 351.3 8155.5 -2035.9 16 34738.8 9732.7 -2025.2 13633.2 -1101.5 17321.1 351.3 9657.6 -2035.9 17 241.3 11232.0 -2025.7 15134.3 -1101.9 18823.5 351.4 11159.8 -2036.0 18 1743.8 12731.3 -2026.2 16635.5 -1102.4 20326.0 351.4 12702.0 -2036.0 19 3246.2 14230.5 -2026.7 18136.7 -1102.8 21828.5 351.4 14204.2 -2036.0 20 4748.7 15729.8 -2027.2 19637.8 -1103.3 23330.9 351.4 15706.4 -2036.1 21 6251.2 17229.0 -2027.7 21139.0 -1103.8 24833.4 351.4 17208.6 -2036.1 22 7753.6 18728.3 -2028.2 22640.1 -1104.2 26335.9 351.4 18710.8 -2036.1 23 9256.1 20227.5 -2028.7 24141.3 -1104.7 27838.3 351.4 20213.0 -2036.2 Mer.pass.:16:49 v-0.7 d-0.5 m-3.9 v1.2 d-0.5 m1.2 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10758.6 21726.8 -2029.2 25642.5 -1105.2 29340.8 351.4 21715.2 -2036.2 1 12301.0 23226.0 -2029.7 27143.6 -1105.6 30843.2 351.5 23217.4 -2036.2 2 13803.5 24725.3 -2030.2 28644.8 -1106.1 32345.7 351.5 24719.5 -2036.3 3 15306.0 26224.5 -2030.7 30146.0 -1106.5 33848.2 351.5 26221.7 -2036.3 4 16808.4 27723.8 -2031.2 31647.1 -1107.0 35350.6 351.5 27723.9 -2036.3 5 18310.9 29223.0 -2031.7 33148.3 -1107.5 853.1 351.5 29226.1 -2036.4 6 19813.3 30722.2 -2032.2 34649.4 -1107.9 2355.6 351.5 30728.3 -2036.4 7 21315.8 32221.5 -2032.7 150.6 -1108.4 3858.0 351.5 32230.5 -2036.4 8 22818.3 33720.7 -2033.2 1651.8 -1108.9 5400.5 351.6 33732.7 -2036.4 9 24320.7 35220.0 -2033.6 3152.9 -1109.3 6903.0 351.6 35234.9 -2036.5
10 25823.2 719.2 -2034.1 4654.1 -1109.8 8405.5 351.6 737.1 -2036.5 11 27325.7 2218.5 -2034.6 6155.3 -1110.2 9907.9 351.6 2239.3 -2036.5 12 28828.1 3717.7 -2035.1 7656.4 -1110.7 11410.4 351.6 3741.5 -2036.6 13 30330.6 5217.0 -2035.6 9157.6 -1111.2 12912.9 351.6 5243.6 -2036.6 14 31833.1 6716.2 -2036.1 10658.7 -1111.6 14415.3 351.6 6745.8 -2036.6 15 33335.5 8215.4 -2036.6 12159.9 -1112.1 15917.8 351.7 8248.0 -2036.7 16 34838.0 9714.7 -2037.0 13701.1 -1112.5 17420.3 351.7 9750.2 -2036.7 17 340.5 11213.9 -2037.5 15202.2 -1113.0 18922.7 351.7 11252.4 -2036.7 18 1842.9 12713.2 -2038.0 16703.4 -1113.5 20425.2 351.7 12754.6 -2036.8 19 3345.4 14212.4 -2038.5 18204.6 -1113.9 21927.7 351.7 14256.8 -2036.8 20 4847.8 15711.7 -2039.0 19705.7 -1114.4 23430.2 351.7 15759.0 -2036.8 21 6350.3 17210.9 -2039.4 21206.9 -1114.8 24932.6 351.8 17301.2 -2036.9 22 7852.8 18710.1 -2039.9 22708.1 -1115.3 26435.1 351.8 18803.4 -2036.9 23 9355.2 20209.4 -2040.4 24209.2 -1115.8 27937.6 351.8 20305.6 -2036.9 Mer.pass.:16:45 v-0.8 d-0.5 m-3.9 v1.2 d-0.5 m1.2 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.7 2910.9 Ankaa 35314.1 -4213.4
Schedar 34938.4 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.5 -5709.7 Hamal 32758.7 2332.3 Polaris 31643.3 8920.1
Akamar 31516.9 -4014.8 Menkar 31413.0 409.0 Mirfak 30837.5 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.7 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.5
Sirius 25831.7 -1644.4 Adara 25510.7 -2859.9
Procyon 24457.5 510.9 Pollux 24325.2 2759.0
Avi or 23416.6 -5933.7 Suhail 22250.7 -4329.9
Miaplacidus 22138.3 -6946.9 Alphard 21754.1 -843.8 Regulus 20741.4 1153.1
Dubhe 19349.4 6139.6 Denebola 18231.7 1428.8
Gienah 17550.4 -1737.8 Acrux 17307.1 -6311.0
Gacrux 17158.7 -5711.9 Alioth 16619.3 5552.1 Spica 15829.4 -1114.6
Alcaid 15257.7 4913.8 Hadar 14845.4 -6026.6
Menkent 14805.6 -3626.6 Arcturus 14554.1 1906.2
Rigil Kent. 13949.5 -6053.6 Zubenelg. 13703.6 -1606.3
Kochab 13720.9 7405.2 Alphecca 12609.8 2639.7
Antares 11224.4 -2627.8 Atria 10725.1 -6903.0
S abi k 10210.8 -1544.4 Shaula 9619.9 -3706.6
Rasalhague 9605.2 1233.1 Etamin 9045.8 5129.3
Kaus Aust . 8341.9 -3422.4 Vega 8038.2 3848.0
Nunki 7556.6 -2616.4 Altair 6206.9 854.8
Peaco ck 5317.2 -5640.9 Deneb 4930.7 4520.5
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.9 2810.3
Markab 1336.8 1517.6
2016/1/7   SHA Mer.pass Venus 11202.0 09:28
Mars 14946.5 06:56 Jupiter 18542.5 04:32 Saturn 10929.8 09:37
2016/1/8   SHA Mer.pass Venus 11045.2 09:29
Mars 14915.2 06:54 Jupiter 18542.3 04:28 Saturn 10923.2 09:33
2016/1/9   SHA Mer.pass Venus 10928.2 09:31
Mars 14843.9 06:53 Jupiter 18542.2 04:25 Saturn 10916.6 09:30
Horizontal paralax Venus: 0.1
2016 January 07 to Jan. 09
h Sun Moon Thu GHA Dec GHA   ν    Dec d HP
0 17832.6 -2227.8 21800.2 10.7 -1658.6 -4.0 55.8 1 19332.3 -2227.5 23229.9 10.7 -1702.5 -3.9 55.9 2 20832.1 -2227.2 24659.6 10.6 -1706.4 -3.8 55.9 3 22331.8 -2226.9 26129.2 10.6 -1710.2 -3.7 55.9 4 23831.5 -2226.6 27558.7 10.5 -1713.8 -3.6 55.9 5 25331.2 -2226.3 29028.2 10.5 -1717.4 -3.6 56.0 6 26831.0 -2226.0 30457.6 10.4 -1721.0 -3.5 56.0 7 28330.7 -2225.7 31927.0 10.3 -1724.4 -3.4 56.0 8 29830.4 -2225.4 33356.3 10.3 -1727.7 -3.3 56.0 9 31330.1 -2225.1 34825.6 10.2 -1731.0 -3.2 56.1
10 32829.9 -2224.8 254.8 10.2 -1734.1 -3.1 56.1 11 34329.6 -2224.4 1723.9 10.1 -1737.2 -3.0 56.1 12 35829.3 -2224.1 3153.0 10.1 -1740.2 -2.9 56.1 13 1329.1 -2223.8 4622.1 10.0 -1743.1 -2.9 56.2 14 2828.8 -2223.5 6051.1 10.0 -1745.9 -2.8 56.2 15 4328.5 -2223.2 7520.0 9.9 -1748.6 -2.7 56.2 16 5828.2 -2222.9 8948.9 9.9 -1751.2 -2.6 56.3 17 7328.0 -2222.6 10417.7 9.8 -1753.8 -2.5 56.3 18 8827.7 -2222.2 11846.5 9.8 -1756.2 -2.4 56.3 19 10327.4 -2221.9 13315.3 9.7 -1758.5 -2.3 56.3 20 11827.2 -2221.6 14744.0 9.7 -1800.8 -2.2 56.4 21 13326.9 -2221.3 16212.6 9.6 -1802.9 -2.1 56.4 22 14826.6 -2221.0 17641.2 9.6 -1805.0 -2.0 56.4 23 16326.3 -2220.6 19109.7 9.5 -1807.0 -1.9 56.4
SD.=16.3 d=0.3 S.D.=15.2
Fri GHA Dec GHA   ν    Dec d HP 0 17826.1 -2220.3 20538.2 9.5 -1808.8 -1.8 56.5 1 19325.8 -2220.0 22006.7 9.4 -1810.6 -1.7 56.5 2 20825.5 -2219.7 23435.1 9.4 -1812.2 -1.6 56.5 3 22325.3 -2219.3 24903.4 9.3 -1813.8 -1.5 56.6 4 23825.0 -2219.0 26331.7 9.3 -1815.3 -1.4 56.6 5 25324.7 -2218.7 27800.0 9.2 -1816.7 -1.3 56.6 6 26824.5 -2218.4 29228.2 9.2 -1817.9 -1.2 56.6 7 28324.2 -2218.0 30656.4 9.2 -1819.1 -1.1 56.7 8 29823.9 -2217.7 32124.5 9.1 -1820.2 -1.0 56.7 9 31323.7 -2217.4 33552.6 9.1 -1821.1 -0.9 56.7
10 32823.4 -2217.1 35020.7 9.0 -1822.0 -0.8 56.8 11 34323.1 -2216.7 448.7 9.0 -1822.8 -0.7 56.8 12 35822.9 -2216.4 1916.7 8.9 -1823.5 -0.6 56.8 13 1322.6 -2216.1 3344.6 8.9 -1824.0 -0.5 56.8 14 2822.3 -2215.7 4812.5 8.9 -1824.5 -0.4 56.9 15 4322.1 -2215.4 6240.3 8.8 -1824.8 -0.3 56.9 16 5821.8 -2215.1 7708.2 8.8 -1825.1 -0.2 56.9 17 7321.5 -2214.7 9135.9 8.8 -1825.2 -0.1 56.9 18 8821.3 -2214.4 10603.7 8.7 -1825.3 0.0 57.0 19 10321.0 -2214.1 12031.4 8.7 -1825.2 0.1 57.0 20 11820.7 -2213.7 13459.1 8.7 -1825.0 0.2 57.0 21 13320.5 -2213.4 14926.7 8.6 -1824.8 0.3 57.1 22 14820.2 -2213.0 16354.3 8.6 -1824.4 0.4 57.1 23 16319.9 -2212.7 17821.9 8.6 -1823.9 0.5 57.1
SD.=16.3 d=0.3 S.D.=15.4
Sat GHA Dec GHA   ν    Dec d HP 0 17819.7 -2212.4 19249.4 8.5 -1823.3 0.6 57.1 1 19319.4 -2212.0 20716.9 8.5 -1822.6 0.7 57.2 2 20819.1 -2211.7 22144.4 8.5 -1821.8 0.9 57.2 3 22318.9 -2211.3 23611.9 8.4 -1820.9 1.0 57.2 4 23818.6 -2211.0 25039.3 8.4 -1819.9 1.1 57.2 5 25318.4 -2210.6 26506.7 8.4 -1818.8 1.2 57.3 6 26818.1 -2210.3 27934.1 8.4 -1817.5 1.3 57.3 7 28317.8 -2210.0 29401.4 8.3 -1816.2 1.4 57.3 8 29817.6 -2209.6 30828.7 8.3 -1814.8 1.5 57.4 9 31317.3 -2209.3 32256.0 8.3 -1813.2 1.6 57.4
10 32817.0 -2208.9 33723.3 8.3 -1811.5 1.7 57.4 11 34316.8 -2208.6 35150.6 8.2 -1809.8 1.8 57.4 12 35816.5 -2208.2 617.8 8.2 -1807.9 1.9 57.5 13 1316.3 -2207.9 2045.0 8.2 -1805.9 2.0 57.5 14 2816.0 -2207.5 3512.2 8.2 -1803.8 2.1 57.5 15 4315.7 -2207.2 4939.4 8.2 -1801.6 2.3 57.5 16 5815.5 -2206.8 6406.6 8.2 -1759.3 2.4 57.6 17 7315.2 -2206.5 7833.7 8.1 -1756.9 2.5 57.6 18 8815.0 -2206.1 9300.8 8.1 -1754.3 2.6 57.6 19 10314.7 -2205.7 10727.9 8.1 -1751.7 2.7 57.6 20 11814.4 -2205.4 12155.0 8.1 -1749.0 2.8 57.7 21 13314.2 -2205.0 13622.1 8.1 -1746.1 2.9 57.7 22 14813.9 -2204.7 15049.2 8.1 -1743.1 3.0 57.7 23 16313.7 -2204.3 16516.3 8.1 -1740.1 3.1 57.7
SD.=16.3 d=0.3 S.D.=15.6
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 08:16 10:21 –:– –:– 13:53 15:58 70 07:58 09:37 –:– –:– 14:36 16:15 68 07:45 09:08 11:12 13:01 15:05 16:29 66 07:33 08:47 10:14 13:60 15:27 16:41 64 07:23 08:29 09:41 14:33 15:44 16:50 62 07:14 08:15 09:16 14:57 15:59 16:59 60 07:07 08:02 08:57 15:16 16:11 17:06 58 07:00 07:52 08:42 15:32 16:22 17:13 56 06:54 07:42 08:28 15:45 16:31 17:19 54 06:48 07:34 08:16 15:57 16:39 17:25 52 06:43 07:26 08:06 16:07 16:47 17:30 50 06:38 07:19 07:57 16:16 16:54 17:35 45 06:28 07:04 07:38 16:36 17:09 17:46 40 06:18 06:52 07:22 16:51 17:21 17:55 35 06:09 06:41 07:09 17:05 17:32 18:04 30 06:01 06:31 06:57 17:16 17:42 18:12 20 05:46 06:13 06:37 17:36 18:00 18:27 10 05:31 05:57 06:19 17:54 18:16 18:42 0 05:14 05:40 06:03 18:10 18:33 18:59
-10 04:56 05:23 05:46 18:27 18:50 19:16 -20 04:35 05:04 05:28 18:45 19:09 19:38 -30 04:07 04:40 05:07 19:06 19:33 20:05 -35 03:50 04:26 04:55 19:18 19:47 20:23 -40 03:28 04:08 04:41 19:32 20:04 20:45 -45 02:59 03:47 04:24 19:49 20:25 21:13 -50 02:18 03:20 04:03 20:10 20:53 21:54 -52 01:54 03:06 03:53 20:20 21:06 22:17 -54 01:21 02:49 03:41 20:31 21:22 22:50 -56 –:– 02:30 03:28 20:44 21:42 –:– -58 –:– 02:04 03:13 20:59 22:07 –:– -60 –:– 01:28 02:54 21:17 22:42 –:–
Moonrise Moonset Lat.   Thu Fri Sat Thu Fri Sat 72 08:58 –:– –:– 10:32 –:– –:– 70 07:45 09:03 09:52 11:45 12:16 13:19 68 07:08 08:18 09:09 12:23 13:01 14:02 66 06:42 07:48 08:40 12:49 13:31 14:30 64 06:22 07:26 08:18 13:10 13:53 14:52 62 06:06 07:08 08:01 13:26 14:11 15:09 60 05:52 06:53 07:46 13:40 14:26 15:24 58 05:40 06:41 07:34 13:52 14:39 15:36 56 05:30 06:30 07:23 14:02 14:50 15:47 54 05:21 06:20 07:13 14:11 14:59 15:56 52 05:13 06:12 07:05 14:19 15:08 16:05 50 05:06 06:04 06:57 14:27 15:15 16:12 45 04:51 05:48 06:41 14:42 15:32 16:28 40 04:38 05:34 06:28 14:55 15:45 16:41 35 04:28 05:23 06:17 15:06 15:57 16:52 30 04:19 05:13 06:07 15:16 16:07 17:02 20 04:03 04:56 05:50 15:32 16:24 17:19 10 03:49 04:41 05:35 15:47 16:39 17:33 0 03:36 04:27 05:21 16:00 16:53 17:47
-10 03:23 04:14 05:07 16:14 17:07 18:00 -20 03:09 03:59 04:52 16:28 17:22 18:15 -30 02:53 03:42 04:35 16:45 17:39 18:31 -35 02:44 03:32 04:25 16:54 17:49 18:41 -40 02:34 03:21 04:14 17:05 17:60 18:52 -45 02:22 03:08 04:01 17:18 18:13 19:05 -50 02:07 02:52 03:45 17:34 18:29 19:20 -52 02:00 02:44 03:37 17:41 18:37 19:27 -54 01:52 02:36 03:29 17:49 18:46 19:36 -56 01:44 02:27 03:19 17:59 18:55 19:45 -58 01:34 02:16 03:08 18:09 19:06 19:55 -60 01:23 02:04 02:56 18:21 19:18 20:07
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 7 05:50 06:03 12:06 09:47 22:13 27(7%) 8 06:16 06:29 12:06 10:40 23:06 28(3%) 9 06:41 06:54 12:06 11:33 00:01 29(1%)
7
 
January 10, 11 ,12 (Sun., Mon., Tue.) Aries Venus Mars Jupiter Saturn
Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10857.7 21708.6 -2040.9 25710.4 -1116.2 29440.0 351.8 21807.8 -2037.0 1 12400.2 23207.9 -2041.3 27211.5 -1116.7 30942.5 351.8 23310.0 -2037.0 2 13902.6 24707.1 -2041.8 28712.7 -1117.1 32445.0 351.8 24812.1 -2037.0 3 15405.1 26206.3 -2042.3 30213.9 -1117.6 33947.5 351.9 26314.3 -2037.1 4 16907.6 27705.6 -2042.8 31715.0 -1118.1 35449.9 351.9 27816.5 -2037.1 5 18410.0 29204.8 -2043.2 33216.2 -1118.5 952.4 351.9 29318.7 -2037.1 6 19912.5 30704.0 -2043.7 34717.4 -1119.0 2454.9 351.9 30820.9 -2037.2 7 21415.0 32203.3 -2044.2 218.5 -1119.4 3957.4 351.9 32323.1 -2037.2 8 22917.4 33702.5 -2044.6 1719.7 -1119.9 5459.8 351.9 33825.3 -2037.2 9 24419.9 35201.8 -2045.1 3220.9 -1120.3 7002.3 352.0 35327.5 -2037.2
10 25922.3 701.0 -2045.6 4722.0 -1120.8 8504.8 352.0 829.7 -2037.3 11 27424.8 2200.2 -2046.0 6223.2 -1121.3 10007.3 352.0 2331.9 -2037.3 12 28927.3 3659.5 -2046.5 7724.4 -1121.7 11509.7 352.0 3834.1 -2037.3 13 30429.7 5158.7 -2046.9 9225.5 -1122.2 13012.2 352.0 5336.3 -2037.4 14 31932.2 6657.9 -2047.4 10726.7 -1122.6 14514.7 352.1 6838.5 -2037.4 15 33434.7 8157.2 -2047.9 12227.9 -1123.1 16017.2 352.1 8340.7 -2037.4 16 34937.1 9656.4 -2048.3 13729.0 -1123.5 17519.7 352.1 9842.9 -2037.5 17 439.6 11155.6 -2048.8 15230.2 -1124.0 19022.1 352.1 11345.0 -2037.5 18 1942.1 12654.9 -2049.2 16731.4 -1124.5 20524.6 352.1 12847.2 -2037.5 19 3444.5 14154.1 -2049.7 18232.5 -1124.9 22027.1 352.1 14349.4 -2037.6 20 4947.0 15653.3 -2050.2 19733.7 -1125.4 23529.6 352.2 15851.6 -2037.6 21 6449.4 17152.6 -2050.6 21234.9 -1125.8 25032.0 352.2 17353.8 -2037.6 22 7951.9 18651.8 -2051.1 22736.0 -1126.3 26534.5 352.2 18856.0 -2037.7 23 9454.4 20151.0 -2051.5 24237.2 -1126.7 28037.0 352.2 20358.2 -2037.7 Mer.pass.:16:41 v-0.8 d-0.5 m-3.9 v1.2 d-0.5 m1.2 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 10956.8 21650.2 -2052.0 25738.4 -1127.2 29539.5 352.2 21900.4 -2037.7 1 12459.3 23149.5 -2052.4 27239.5 -1127.6 31042.0 352.3 23402.6 -2037.7 2 14001.8 24648.7 -2052.9 28740.7 -1128.1 32544.5 352.3 24904.8 -2037.8 3 15504.2 26147.9 -2053.3 30241.9 -1128.6 34046.9 352.3 26407.0 -2037.8 4 17006.7 27647.2 -2053.8 31743.0 -1129.0 35549.4 352.3 27909.2 -2037.8 5 18509.2 29146.4 -2054.2 33244.2 -1129.5 1051.9 352.3 29411.4 -2037.9 6 20011.6 30645.6 -2054.7 34745.4 -1129.9 2554.4 352.4 30913.6 -2037.9 7 21514.1 32144.8 -2055.1 246.5 -1130.4 4056.9 352.4 32415.8 -2037.9 8 23016.6 33644.1 -2055.5 1747.7 -1130.8 5559.3 352.4 33918.0 -2038.0 9 24519.0 35143.3 -2056.0 3248.9 -1131.3 7101.8 352.4 35420.2 -2038.0
10 26021.5 642.5 -2056.4 4750.0 -1131.7 8604.3 352.4 922.4 -2038.0 11 27523.9 2141.7 -2056.9 6251.2 -1132.2 10106.8 352.5 2424.5 -2038.1 12 29026.4 3641.0 -2057.3 7752.4 -1132.6 11609.3 352.5 3926.7 -2038.1 13 30528.9 5140.2 -2057.7 9253.5 -1133.1 13111.8 352.5 5428.9 -2038.1 14 32031.3 6639.4 -2058.2 10754.7 -1133.5 14614.2 352.5 6931.1 -2038.2 15 33533.8 8138.6 -2058.6 12255.9 -1134.0 16116.7 352.6 8433.3 -2038.2 16 35036.3 9637.9 -2059.1 13757.0 -1134.5 17619.2 352.6 9935.5 -2038.2 17 538.7 11137.1 -2059.5 15258.2 -1134.9 19121.7 352.6 11437.7 -2038.2 18 2041.2 12636.3 -2059.9 16759.4 -1135.4 20624.2 352.6 12939.9 -2038.3 19 3543.7 14135.5 -2100.4 18300.5 -1135.8 22126.7 352.6 14442.1 -2038.3 20 5046.1 15634.8 -2100.8 19801.7 -1136.3 23629.2 352.7 15944.3 -2038.3 21 6548.6 17134.0 -2101.2 21302.9 -1136.7 25131.6 352.7 17446.5 -2038.4 22 8051.1 18633.2 -2101.6 22804.0 -1137.2 26634.1 352.7 18948.7 -2038.4 23 9553.5 20132.4 -2102.1 24305.2 -1137.6 28136.6 352.7 20450.9 -2038.4 Mer.pass.:16:37 v-0.8 d-0.5 m-3.9 v1.2 d-0.5 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11056.0 21631.6 -2102.5 25806.4 -1138.1 29639.1 352.8 21953.1 -2038.5 1 12558.4 23130.9 -2102.9 27307.6 -1138.5 31141.6 352.8 23455.3 -2038.5 2 14100.9 24630.1 -2103.3 28808.7 -1139.0 32644.1 352.8 24957.5 -2038.5 3 15603.4 26129.3 -2103.8 30309.9 -1139.4 34146.6 352.8 26459.7 -2038.6 4 17105.8 27628.5 -2104.2 31811.1 -1139.9 35649.1 352.8 28001.9 -2038.6 5 18608.3 29127.7 -2104.6 33312.2 -1140.3 1151.6 352.9 29504.1 -2038.6 6 20110.8 30626.9 -2105.0 34813.4 -1140.8 2654.0 352.9 31006.3 -2038.6 7 21613.2 32126.2 -2105.5 314.6 -1141.2 4156.5 352.9 32508.5 -2038.7 8 23115.7 33625.4 -2105.9 1815.7 -1141.7 5659.0 352.9 34010.7 -2038.7 9 24618.2 35124.6 -2106.3 3316.9 -1142.1 7201.5 353.0 35512.9 -2038.7
10 26120.6 623.8 -2106.7 4818.1 -1142.6 8704.0 353.0 1015.1 -2038.8 11 27623.1 2123.0 -2107.1 6319.3 -1143.0 10206.5 353.0 2517.3 -2038.8 12 29125.6 3622.2 -2107.5 7820.4 -1143.5 11709.0 353.0 4019.5 -2038.8 13 30628.0 5121.5 -2108.0 9321.6 -1143.9 13211.5 353.1 5521.7 -2038.9 14 32130.5 6620.7 -2108.4 10822.8 -1144.4 14714.0 353.1 7023.9 -2038.9 15 33632.9 8119.9 -2108.8 12323.9 -1144.8 16216.5 353.1 8526.1 -2038.9 16 35135.4 9619.1 -2109.2 13825.1 -1145.3 17719.0 353.1 10028.3 -2039.0 17 637.9 11118.3 -2109.6 15326.3 -1145.7 19221.5 353.2 11530.5 -2039.0 18 2140.3 12617.5 -2110.0 16827.4 -1146.2 20723.9 353.2 13032.7 -2039.0 19 3642.8 14116.7 -2110.4 18328.6 -1146.6 22226.4 353.2 14534.8 -2039.0 20 5145.3 15616.0 -2110.8 19829.8 -1147.1 23728.9 353.2 16037.0 -2039.1 21 6647.7 17115.2 -2111.2 21331.0 -1147.5 25231.4 353.3 17539.2 -2039.1 22 8150.2 18614.4 -2111.6 22832.1 -1148.0 26733.9 353.3 19041.4 -2039.1 23 9652.7 20113.6 -2112.0 24333.3 -1148.4 28236.4 353.3 20543.6 -2039.2 Mer.pass.:16:33 v-0.8 d-0.4 m-3.9 v1.2 d-0.5 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.7 2910.9 Ankaa 35314.1 -4213.4
Schedar 34938.5 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.5 -5709.7 Hamal 32758.7 2332.3 Polaris 31644.4 8920.1
Akamar 31516.9 -4014.8 Menkar 31413.0 409.0 Mirfak 30837.5 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.8 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.6
Sirius 25831.7 -1644.4 Adara 25510.7 -2859.9
Procyon 24457.5 510.9 Pollux 24325.1 2759.0
Avi or 23416.6 -5933.8 Suhail 22250.7 -4329.9
Miaplacidus 22138.3 -6947.0 Alphard 21754.1 -843.8 Regulus 20741.4 1153.1
Dubhe 19349.3 6139.6 Denebola 18231.7 1428.8
Gienah 17550.3 -1737.8 Acrux 17307.0 -6311.0
Gacrux 17158.7 -5711.9 Alioth 16619.3 5552.1 Spica 15829.4 -1114.6
Alcaid 15257.7 4913.8 Hadar 14845.4 -6026.6
Menkent 14805.6 -3626.6 Arcturus 14554.1 1906.2
Rigil Kent. 13949.4 -6053.6 Zubenelg. 13703.6 -1606.3
Kochab 13720.8 7405.2 Alphecca 12609.8 2639.7
Antares 11224.4 -2627.8 Atria 10725.0 -6903.0
S abi k 10210.8 -1544.4 Shaula 9619.9 -3706.6
Rasalhague 9605.2 1233.1 Etamin 9045.8 5129.3
Kaus Aust . 8341.9 -3422.4 Vega 8038.2 3848.0
Nunki 7556.5 -2616.4 Altair 6206.9 854.8
Peaco ck 5317.1 -5640.9 Deneb 4930.7 4520.5
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.9 2810.3
Markab 1336.8 1517.6
2016/1/1   SHA Mer.pass Venus 10810.9 09:32
Mars 14812.7 06:51 Jupiter 18542.3 04:21 Saturn 10910.1 09:26
2016/1/1   SHA Mer.pass Venus 10653.4 09:33
Mars 14741.5 06:49 Jupiter 18542.6 04:17 Saturn 10903.6 09:23
2016/1/1   SHA Mer.pass Venus 10535.7 09:34
Mars 14710.4 06:47 Jupiter 18543.1 04:13 Saturn 10857.1 09:19
Horizontal paralax Venus: 0.1
2016 January 10 to Jan. 12
h Sun Moon Sun GHA Dec GHA   ν    Dec d HP
0 17813.4 -2204.0 17943.3 8.0 -1736.9 3.2 57.8 1 19313.1 -2203.6 19410.4 8.0 -1733.6 3.3 57.8 2 20812.9 -2203.2 20837.4 8.0 -1730.2 3.4 57.8 3 22312.6 -2202.9 22304.4 8.0 -1726.7 3.6 57.8 4 23812.4 -2202.5 23731.4 8.0 -1723.1 3.7 57.9 5 25312.1 -2202.2 25158.5 8.0 -1719.4 3.8 57.9 6 26811.9 -2201.8 26625.5 8.0 -1715.6 3.9 57.9 7 28311.6 -2201.4 28052.5 8.0 -1711.7 4.0 57.9 8 29811.3 -2201.1 29519.5 8.0 -1707.6 4.1 58.0 9 31311.1 -2200.7 30946.5 8.0 -1703.5 4.2 58.0
10 32810.8 -2200.3 32413.5 8.0 -1659.2 4.3 58.0 11 34310.6 -2160.0 33840.5 8.0 -1654.9 4.4 58.0 12 35810.3 -2159.6 35307.5 8.0 -1650.4 4.5 58.1 13 1310.1 -2159.2 734.4 8.0 -1645.9 4.6 58.1 14 2809.8 -2158.9 2201.4 8.0 -1641.2 4.7 58.1 15 4309.5 -2158.5 3628.4 8.0 -1636.5 4.8 58.1 16 5809.3 -2158.1 5055.4 8.0 -1631.6 4.9 58.1 17 7309.0 -2157.8 6522.4 8.0 -1626.6 5.0 58.2 18 8808.8 -2157.4 7949.5 8.0 -1621.5 5.1 58.2 19 10308.5 -2157.0 9416.5 8.0 -1616.4 5.2 58.2 20 11808.3 -2156.6 10843.5 8.0 -1611.1 5.3 58.2 21 13308.0 -2156.3 12310.5 8.0 -1605.7 5.4 58.3 22 14807.8 -2155.9 13737.5 8.0 -1600.2 5.5 58.3 23 16307.5 -2155.5 15204.6 8.0 -1554.6 5.6 58.3
SD.=16.3 d=0.4 S.D.=15.8
Mon GHA Dec GHA   ν    Dec d HP 0 17807.3 -2155.1 16631.6 8.1 -1549.0 5.7 58.3 1 19307.0 -2154.8 18058.7 8.1 -1543.2 5.8 58.3 2 20806.8 -2154.4 19525.8 8.1 -1537.3 5.9 58.4 3 22306.5 -2154.0 20952.8 8.1 -1531.3 6.0 58.4 4 23806.3 -2153.6 22419.9 8.1 -1525.2 6.1 58.4 5 25306.0 -2153.2 23847.0 8.1 -1519.1 6.2 58.4 6 26805.7 -2152.9 25314.1 8.1 -1512.8 6.3 58.4 7 28305.5 -2152.5 26741.3 8.1 -1506.4 6.4 58.5 8 29805.2 -2152.1 28208.4 8.1 -1460.0 6.5 58.5 9 31305.0 -2151.7 29635.6 8.2 -1453.4 6.6 58.5
10 32804.7 -2151.3 31102.7 8.2 -1446.8 6.7 58.5 11 34304.5 -2150.9 32529.9 8.2 -1440.1 6.8 58.5 12 35804.2 -2150.6 33957.1 8.2 -1433.2 6.9 58.6 13 1304.0 -2150.2 35424.3 8.2 -1426.3 7.0 58.6 14 2803.7 -2149.8 851.5 8.2 -1419.3 7.1 58.6 15 4303.5 -2149.4 2318.8 8.3 -1412.2 7.1 58.6 16 5803.2 -2149.0 3746.1 8.3 -1405.0 7.2 58.6 17 7303.0 -2148.6 5213.3 8.3 -1357.7 7.3 58.6 18 8802.8 -2148.2 6640.6 8.3 -1350.3 7.4 58.7 19 10302.5 -2147.8 8108.0 8.3 -1342.9 7.5 58.7 20 11802.3 -2147.4 9535.3 8.3 -1335.3 7.6 58.7 21 13302.0 -2147.1 11002.7 8.4 -1327.7 7.7 58.7 22 14801.8 -2146.7 12430.0 8.4 -1320.0 7.8 58.7 23 16301.5 -2146.3 13857.4 8.4 -1312.2 7.8 58.7
SD.=16.3 d=0.4 S.D.=15.9
Tue GHA Dec GHA   ν    Dec d HP 0 17801.3 -2145.9 15324.9 8.4 -1304.3 7.9 58.8 1 19301.0 -2145.5 16752.3 8.4 -1256.4 8.0 58.8 2 20800.8 -2145.1 18219.7 8.5 -1248.3 8.1 58.8 3 22300.5 -2144.7 19647.2 8.5 -1240.2 8.2 58.8 4 23800.3 -2144.3 21114.7 8.5 -1232.0 8.2 58.8 5 25300.0 -2143.9 22542.3 8.5 -1223.7 8.3 58.8 6 26759.8 -2143.5 24009.8 8.6 -1215.4 8.4 58.9 7 28259.5 -2143.1 25437.4 8.6 -1206.9 8.5 58.9 8 29759.3 -2142.7 26905.0 8.6 -1158.4 8.5 58.9 9 31259.1 -2142.3 28332.6 8.6 -1149.8 8.6 58.9
10 32758.8 -2141.9 29800.2 8.6 -1141.2 8.7 58.9 11 34258.6 -2141.5 31227.9 8.7 -1132.4 8.8 58.9 12 35758.3 -2141.1 32655.6 8.7 -1123.6 8.8 58.9 13 1258.1 -2140.7 34123.3 8.7 -1114.8 8.9 58.9 14 2757.8 -2140.3 35551.0 8.7 -1105.8 9.0 59.0 15 4257.6 -2139.9 1018.7 8.8 -1056.8 9.0 59.0 16 5757.4 -2139.5 2446.5 8.8 -1047.7 9.1 59.0 17 7257.1 -2139.1 3914.3 8.8 -1038.6 9.2 59.0 18 8756.9 -2138.7 5342.1 8.8 -1029.4 9.2 59.0 19 10256.6 -2138.3 6810.0 8.9 -1020.1 9.3 59.0 20 11756.4 -2137.8 8237.8 8.9 -1010.7 9.4 59.0 21 13256.1 -2137.4 9705.7 8.9 -1001.3 9.4 59.0 22 14755.9 -2137.0 11133.6 8.9 -951.9 9.5 59.1 23 16255.7 -2136.6 12601.6 8.9 -942.3 9.6 59.1
SD.=16.3 d=0.4 S.D.=16.0
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 08:10 10:10 –:– –:– 14:07 16:06 70 07:54 09:30 –:– –:– 14:46 16:22 68 07:41 09:03 10:55 13:21 15:13 16:35 66 07:30 08:42 10:06 14:10 15:34 16:46 64 07:20 08:26 09:35 14:41 15:50 16:56 62 07:12 08:12 09:12 15:04 16:04 17:04 60 07:05 07:60 08:54 15:22 16:16 17:11 58 06:58 07:49 08:39 15:37 16:26 17:17 56 06:53 07:40 08:26 15:50 16:35 17:23 54 06:47 07:32 08:15 16:01 16:44 17:29 52 06:42 07:25 08:05 16:11 16:51 17:34 50 06:38 07:18 07:56 16:20 16:58 17:38 45 06:27 07:04 07:37 16:39 17:12 17:49 40 06:18 06:51 07:21 16:54 17:24 17:58 35 06:09 06:41 07:08 17:07 17:35 18:06 30 06:01 06:31 06:57 17:19 17:45 18:14 20 05:46 06:14 06:37 17:38 18:02 18:29 10 05:32 05:58 06:20 17:55 18:18 18:44 0 05:16 05:42 06:04 18:11 18:34 18:60
-10 04:58 05:25 05:48 18:28 18:50 19:17 -20 04:37 05:06 05:30 18:45 19:09 19:38 -30 04:10 04:43 05:10 19:06 19:32 20:05 -35 03:53 04:29 04:58 19:17 19:47 20:22 -40 03:31 04:12 04:44 19:31 20:03 20:43 -45 03:04 03:51 04:27 19:48 20:24 21:11 -50 02:24 03:24 04:07 20:08 20:50 21:50 -52 02:02 03:11 03:57 20:18 21:04 22:12 -54 01:31 02:55 03:46 20:29 21:19 22:42 -56 00:25 02:36 03:33 20:41 21:38 23:39 -58 –:– 02:12 03:18 20:56 22:01 –:– -60 –:– 01:39 03:01 21:13 22:34 –:–
Moonrise Moonset Lat.   Sun Mon Tue Sun Mon Tue 72 11:08 10:56 10:48 13:58 16:04 18:04 70 10:15 10:24 10:29 14:50 16:35 18:22 68 09:42 10:01 10:13 15:23 16:57 18:37 66 09:17 09:43 10:00 15:47 17:14 18:48 64 08:58 09:28 09:50 16:05 17:29 18:58 62 08:43 09:15 09:41 16:20 17:40 19:06 60 08:30 09:05 09:33 16:33 17:50 19:13 58 08:19 08:55 09:26 16:44 17:59 19:19 56 08:09 08:47 09:20 16:53 18:07 19:25 54 08:00 08:40 09:14 17:02 18:14 19:30 52 07:52 08:34 09:09 17:09 18:20 19:34 50 07:45 08:28 09:05 17:16 18:25 19:38 45 07:30 08:15 08:55 17:30 18:37 19:47 40 07:18 08:04 08:47 17:42 18:47 19:54 35 07:08 07:55 08:40 17:52 18:55 19:60 30 06:58 07:47 08:34 18:01 19:02 20:05 20 06:42 07:34 08:23 18:16 19:15 20:14 10 06:28 07:22 08:13 18:29 19:26 20:22 0 06:15 07:10 08:04 18:42 19:36 20:30
-10 06:02 06:59 07:56 18:54 19:46 20:37 -20 05:48 06:47 07:46 19:07 19:57 20:45 -30 05:33 06:33 07:35 19:22 20:09 20:54 -35 05:23 06:25 07:29 19:30 20:16 20:59 -40 05:13 06:16 07:22 19:40 20:24 21:05 -45 05:00 06:05 07:13 19:51 20:34 21:12 -50 04:45 05:52 07:03 20:05 20:45 21:20 -52 04:38 05:46 06:59 20:12 20:50 21:23 -54 04:30 05:39 06:53 20:19 20:56 21:27 -56 04:21 05:32 06:48 20:27 21:02 21:32 -58 04:11 05:23 06:41 20:35 21:09 21:37 -60 03:60 05:14 06:34 20:46 21:17 21:42
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 10 07:07 07:19 12:07 12:28 00:01 0(0%) 11 07:31 07:43 12:07 13:23 00:55 1(3%) 12 07:55 08:07 12:08 14:17 01:50 2(7%)
9
 
January 13, 14 ,15 (Wed., Thu., Fri.) Aries Venus Mars Jupiter Saturn
Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11155.1 21612.8 -2112.4 25834.5 -1148.9 29738.9 353.3 22045.8 -2039.2 1 12657.6 23112.0 -2112.9 27335.6 -1149.3 31241.4 353.4 23548.0 -2039.2 2 14200.0 24611.2 -2113.3 28836.8 -1149.7 32743.9 353.4 25050.2 -2039.3 3 15702.5 26110.4 -2113.7 30338.0 -1150.2 34246.4 353.4 26552.4 -2039.3 4 17205.0 27609.6 -2114.0 31839.2 -1150.6 35748.9 353.4 28054.6 -2039.3 5 18707.4 29108.9 -2114.4 33340.3 -1151.1 1251.4 353.5 29556.8 -2039.3 6 20209.9 30608.1 -2114.8 34841.5 -1151.5 2753.9 353.5 31059.0 -2039.4 7 21712.4 32107.3 -2115.2 342.7 -1152.0 4256.4 353.5 32601.2 -2039.4 8 23214.8 33606.5 -2115.6 1843.9 -1152.4 5758.9 353.6 34103.4 -2039.4 9 24717.3 35105.7 -2116.0 3345.0 -1152.9 7301.4 353.6 35605.6 -2039.5
10 26219.8 604.9 -2116.4 4846.2 -1153.3 8803.9 353.6 1107.8 -2039.5 11 27722.2 2104.1 -2116.8 6347.4 -1153.8 10306.4 353.6 2610.0 -2039.5 12 29224.7 3603.3 -2117.2 7848.5 -1154.2 11808.9 353.7 4112.2 -2039.6 13 30727.2 5102.5 -2117.6 9349.7 -1154.7 13311.4 353.7 5614.4 -2039.6 14 32229.6 6601.7 -2118.0 10850.9 -1155.1 14813.9 353.7 7116.6 -2039.6 15 33732.1 8100.9 -2118.4 12352.1 -1155.5 16316.4 353.7 8618.8 -2039.6 16 35234.5 9600.1 -2118.8 13853.2 -1156.0 17818.9 353.8 10121.0 -2039.7 17 737.0 11059.3 -2119.1 15354.4 -1156.4 19321.4 353.8 11623.2 -2039.7 18 2239.5 12558.5 -2119.5 16855.6 -1156.9 20823.9 353.8 13125.4 -2039.7 19 3741.9 14057.7 -2119.9 18356.8 -1157.3 22326.4 353.9 14627.6 -2039.8 20 5244.4 15557.0 -2120.3 19857.9 -1157.8 23828.9 353.9 16129.8 -2039.8 21 6746.9 17056.2 -2120.7 21359.1 -1158.2 25331.4 353.9 17632.0 -2039.8 22 8249.3 18555.4 -2121.1 22900.3 -1158.7 26833.9 353.9 19134.2 -2039.9 23 9751.8 20054.6 -2121.4 24401.5 -1159.1 28336.4 354.0 20636.4 -2039.9 Mer.pass.:16:29 v-0.8 d-0.4 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11254.3 21553.8 -2121.8 25902.6 -1159.5 29838.9 354.0 22138.6 -2039.9 1 12756.7 23053.0 -2122.2 27403.8 -1160.0 31341.4 354.0 23640.8 -2039.9 2 14259.2 24552.2 -2122.6 28905.0 -1200.4 32843.9 354.1 25143.0 -2040.0 3 15801.7 26051.4 -2122.9 30406.2 -1200.9 34346.4 354.1 26645.2 -2040.0 4 17304.1 27550.6 -2123.3 31907.3 -1201.3 35848.9 354.1 28147.4 -2040.0 5 18806.6 29049.8 -2123.7 33408.5 -1201.8 1351.4 354.2 29649.6 -2040.1 6 20309.0 30549.0 -2124.1 34909.7 -1202.2 2853.9 354.2 31151.8 -2040.1 7 21811.5 32048.2 -2124.4 410.8 -1202.6 4356.4 354.2 32654.1 -2040.1 8 23314.0 33547.4 -2124.8 1912.0 -1203.1 5858.9 354.2 34156.3 -2040.2 9 24816.4 35046.6 -2125.2 3413.2 -1203.5 7401.4 354.3 35658.5 -2040.2
10 26318.9 545.8 -2125.5 4914.4 -1204.0 8903.9 354.3 1200.7 -2040.2 11 27821.4 2045.0 -2125.9 6415.6 -1204.4 10406.4 354.3 2702.9 -2040.2 12 29323.8 3544.2 -2126.3 7916.7 -1204.9 11908.9 354.4 4205.1 -2040.3 13 30826.3 5043.4 -2126.6 9417.9 -1205.3 13411.5 354.4 5707.3 -2040.3 14 32328.8 6542.6 -2127.0 10919.1 -1205.7 14914.0 354.4 7209.5 -2040.3 15 33831.2 8041.8 -2127.4 12420.3 -1206.2 16416.5 354.5 8711.7 -2040.4 16 35333.7 9541.0 -2127.7 13921.4 -1206.6 17919.0 354.5 10213.9 -2040.4 17 836.1 11040.2 -2128.1 15422.6 -1207.1 19421.5 354.5 11716.1 -2040.4 18 2338.6 12539.4 -2128.4 16923.8 -1207.5 20924.0 354.5 13218.3 -2040.4 19 3841.1 14038.5 -2128.8 18425.0 -1207.9 22426.5 354.6 14720.5 -2040.5 20 5343.5 15537.7 -2129.2 19926.1 -1208.4 23929.0 354.6 16222.7 -2040.5 21 6846.0 17036.9 -2129.5 21427.3 -1208.8 25431.5 354.6 17724.9 -2040.5 22 8348.5 18536.1 -2129.9 22928.5 -1209.3 26934.0 354.7 19227.1 -2040.6 23 9850.9 20035.3 -2130.2 24429.7 -1209.7 28436.5 354.7 20729.3 -2040.6 Mer.pass.:16:25 v-0.8 d-0.4 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11353.4 21534.5 -2130.6 25930.8 -1210.1 29939.0 354.7 22231.5 -2040.6 1 12855.9 23033.7 -2130.9 27432.0 -1210.6 31441.6 354.8 23733.7 -2040.7 2 14358.3 24532.9 -2131.3 28933.2 -1211.0 32944.1 354.8 25235.9 -2040.7 3 15900.8 26032.1 -2131.6 30434.4 -1211.5 34446.6 354.8 26738.1 -2040.7 4 17403.3 27531.3 -2132.0 31935.6 -1211.9 35949.1 354.9 28240.3 -2040.7 5 18905.7 29030.5 -2132.3 33436.7 -1212.3 1451.6 354.9 29742.5 -2040.8 6 20408.2 30529.7 -2132.7 34937.9 -1212.8 2954.1 354.9 31244.7 -2040.8 7 21910.6 32028.9 -2133.0 439.1 -1213.2 4456.6 355.0 32746.9 -2040.8 8 23413.1 33528.1 -2133.4 1940.3 -1213.6 5959.1 355.0 34249.1 -2040.9 9 24915.6 35027.3 -2133.7 3441.4 -1214.1 7501.7 355.0 35751.3 -2040.9
10 26418.0 526.5 -2134.0 4942.6 -1214.5 9004.2 355.1 1253.5 -2040.9 11 27920.5 2025.6 -2134.4 6443.8 -1215.0 10506.7 355.1 2755.7 -2040.9 12 29423.0 3524.8 -2134.7 7945.0 -1215.4 12009.2 355.1 4257.9 -2041.0 13 30925.4 5024.0 -2135.1 9446.2 -1215.8 13511.7 355.2 5800.1 -2041.0 14 32427.9 6523.2 -2135.4 10947.3 -1216.3 15014.2 355.2 7302.3 -2041.0 15 33930.4 8022.4 -2135.7 12448.5 -1216.7 16516.7 355.2 8804.6 -2041.1 16 35432.8 9521.6 -2136.1 13949.7 -1217.1 18019.3 355.3 10306.8 -2041.1 17 935.3 11020.8 -2136.4 15450.9 -1217.6 19521.8 355.3 11809.0 -2041.1 18 2437.7 12520.0 -2136.8 16952.0 -1218.0 21024.3 355.3 13311.2 -2041.1 19 3940.2 14019.2 -2137.1 18453.2 -1218.5 22526.8 355.4 14813.4 -2041.2 20 5442.7 15518.3 -2137.4 19954.4 -1218.9 24029.3 355.4 16315.6 -2041.2 21 6945.1 17017.5 -2137.7 21455.6 -1219.3 25531.8 355.4 17817.8 -2041.2 22 8447.6 18516.7 -2138.1 22956.8 -1219.8 27034.3 355.5 19320.0 -2041.3 23 9950.1 20015.9 -2138.4 24457.9 -1220.2 28536.9 355.5 20822.2 -2041.3 Mer.pass.:16:21 v-0.8 d-0.4 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.8 2910.9 Ankaa 35314.1 -4213.4
Schedar 34938.5 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.6 -5709.7 Hamal 32758.7 2332.3 Polaris 31645.7 8920.1
Akamar 31516.9 -4014.8 Menkar 31413.1 409.0 Mirfak 30837.5 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.8 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.6
Sirius 25831.7 -1644.4 Adara 25510.7 -2859.9
Procyon 24457.5 510.9 Pollux 24325.1 2759.0
Avi or 23416.6 -5933.8 Suhail 22250.7 -4329.9
Miaplacidus 22138.3 -6947.0 Alphard 21754.0 -843.9 Regulus 20741.4 1153.1
Dubhe 19349.3 6139.6 Denebola 18231.7 1428.8
Gienah 17550.3 -1737.8 Acrux 17307.0 -6311.0
Gacrux 17158.6 -5711.9 Alioth 16619.2 5552.1 Spica 15829.4 -1114.6
Alcaid 15257.6 4913.8 Hadar 14845.4 -6026.6
Menkent 14805.5 -3626.6 Arcturus 14554.1 1906.2
Rigil Kent. 13949.4 -6053.7 Zubenelg. 13703.6 -1606.3
Kochab 13720.7 7405.2 Alphecca 12609.8 2639.7
Antares 11224.3 -2627.8 Atria 10725.0 -6903.0
S abi k 10210.8 -1544.5 Shaula 9619.9 -3706.6
Rasalhague 9605.1 1233.1 Etamin 9045.8 5129.3
Kaus Aust . 8341.9 -3422.4 Vega 8038.2 3848.0
Nunki 7556.5 -2616.4 Altair 6206.9 854.7
Peaco ck 5317.1 -5640.9 Deneb 4930.7 4520.5
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.9 2810.3
Markab 1336.8 1517.6
2016/1/1   SHA Mer.pass Venus 10417.7 09:36
Mars 14639.4 06:45 Jupiter 18543.8 04:09 Saturn 10850.7 09:16
2016/1/1   SHA Mer.pass Venus 10259.5 09:37
Mars 14608.4 06:43 Jupiter 18544.6 04:05 Saturn 10844.4 09:12
2016/1/1   SHA Mer.pass Venus 10141.1 09:38
Mars 14537.4 06:41 Jupiter 18545.7 04:01 Saturn 10838.1 09:09
Horizontal paralax Venus: 0.1
2016 January 13 to Jan. 15
h Sun Moon Wed GHA Dec GHA   ν    Dec d HP
0 17755.4 -2136.2 14029.5 9.0 -932.7 9.6 59.1 1 19255.2 -2135.8 15457.5 9.0 -923.1 9.7 59.1 2 20754.9 -2135.4 16925.5 9.0 -913.4 9.7 59.1 3 22254.7 -2135.0 18353.5 9.0 -903.6 9.8 59.1 4 23754.5 -2134.5 19821.6 9.1 -853.8 9.8 59.1 5 25254.2 -2134.1 21249.7 9.1 -843.9 9.9 59.1 6 26754.0 -2133.7 22717.8 9.1 -834.0 10.0 59.1 7 28253.7 -2133.3 24145.9 9.1 -824.0 10.0 59.1 8 29753.5 -2132.9 25614.0 9.2 -814.0 10.1 59.2 9 31253.3 -2132.5 27042.2 9.2 -803.9 10.1 59.2
10 32753.0 -2132.0 28510.4 9.2 -753.8 10.2 59.2 11 34252.8 -2131.6 29938.6 9.2 -743.6 10.2 59.2 12 35752.6 -2131.2 31406.8 9.2 -733.4 10.2 59.2 13 1252.3 -2130.8 32835.1 9.3 -723.1 10.3 59.2 14 2752.1 -2130.4 34303.3 9.3 -712.8 10.3 59.2 15 4251.8 -2129.9 35731.6 9.3 -702.4 10.4 59.2 16 5751.6 -2129.5 1159.9 9.3 -652.0 10.4 59.2 17 7251.4 -2129.1 2628.2 9.3 -641.6 10.5 59.2 18 8751.1 -2128.7 4056.6 9.4 -631.1 10.5 59.2 19 10250.9 -2128.2 5525.0 9.4 -620.5 10.5 59.2 20 11750.7 -2127.8 6953.3 9.4 -610.0 10.6 59.2 21 13250.4 -2127.4 8421.7 9.4 -559.4 10.6 59.2 22 14750.2 -2127.0 9850.2 9.4 -548.7 10.7 59.2 23 16250.0 -2126.5 11318.6 9.4 -538.1 10.7 59.3
SD.=16.3 d=0.4 S.D.=16.1
Thu GHA Dec GHA   ν    Dec d HP 0 17749.7 -2126.1 12747.1 9.5 -527.4 10.7 59.3 1 19249.5 -2125.7 14215.5 9.5 -516.6 10.8 59.3 2 20749.3 -2125.2 15644.0 9.5 -505.9 10.8 59.3 3 22249.0 -2124.8 17112.5 9.5 -455.1 10.8 59.3 4 23748.8 -2124.4 18541.1 9.5 -444.2 10.8 59.3 5 25248.6 -2123.9 20009.6 9.5 -433.4 10.9 59.3 6 26748.3 -2123.5 21438.1 9.6 -422.5 10.9 59.3 7 28248.1 -2123.1 22906.7 9.6 -411.6 10.9 59.3 8 29747.9 -2122.6 24335.3 9.6 -400.7 10.9 59.3 9 31247.6 -2122.2 25803.9 9.6 -349.7 11.0 59.3
10 32747.4 -2121.8 27232.5 9.6 -338.7 11.0 59.3 11 34247.2 -2121.3 28701.1 9.6 -327.7 11.0 59.3 12 35747.0 -2120.9 30129.8 9.6 -316.7 11.0 59.3 13 1246.7 -2120.5 31558.4 9.7 -305.7 11.0 59.3 14 2746.5 -2120.0 33027.1 9.7 -254.6 11.1 59.3 15 4246.3 -2119.6 34455.7 9.7 -243.5 11.1 59.3 16 5746.0 -2119.1 35924.4 9.7 -232.4 11.1 59.3 17 7245.8 -2118.7 1353.1 9.7 -221.3 11.1 59.3 18 8745.6 -2118.3 2821.8 9.7 -210.2 11.1 59.3 19 10245.3 -2117.8 4250.5 9.7 -159.1 11.1 59.3 20 11745.1 -2117.4 5719.2 9.7 -147.9 11.1 59.3 21 13244.9 -2116.9 7147.9 9.7 -136.8 11.2 59.3 22 14744.7 -2116.5 8616.7 9.7 -125.6 11.2 59.3 23 16244.4 -2116.0 10045.4 9.7 -114.5 11.2 59.3
SD.=16.3 d=0.4 S.D.=16.2
Fri GHA Dec GHA   ν    Dec d HP 0 17744.2 -2115.6 11514.1 9.7 -103.3 11.2 59.3 1 19244.0 -2115.1 12942.9 9.8 -052.1 11.2 59.3 2 20743.8 -2114.7 14411.6 9.8 -040.9 11.2 59.3 3 22243.5 -2114.3 15840.4 9.8 -029.7 11.2 59.3 4 23743.3 -2113.8 17309.2 9.8 -018.6 11.2 59.3 5 25243.1 -2113.4 18737.9 9.8 -007.4 11.2 59.3 6 26742.9 -2112.9 20206.7 9.8 003.8 11.2 59.3 7 28242.6 -2112.5 21635.5 9.8 015.0 11.2 59.3 8 29742.4 -2112.0 23104.2 9.8 026.2 11.2 59.3 9 31242.2 -2111.6 24533.0 9.8 037.4 11.2 59.3
10 32742.0 -2111.1 26001.8 9.8 048.6 11.2 59.3 11 34241.7 -2110.6 27430.6 9.8 059.7 11.2 59.3 12 35741.5 -2110.2 28859.3 9.8 110.9 11.2 59.3 13 1241.3 -2109.7 30328.1 9.8 122.0 11.2 59.3 14 2741.1 -2109.3 31756.9 9.8 133.2 11.1 59.3 15 4240.8 -2108.8 33225.6 9.8 144.3 11.1 59.3 16 5740.6 -2108.4 34654.4 9.8 155.5 11.1 59.3 17 7240.4 -2107.9 123.2 9.8 206.6 11.1 59.3 18 8740.2 -2107.4 1551.9 9.8 217.7 11.1 59.3 19 10240.0 -2107.0 3020.7 9.8 228.7 11.1 59.3 20 11739.7 -2106.5 4449.4 9.7 239.8 11.1 59.3 21 13239.5 -2106.1 5918.2 9.7 250.9 11.0 59.3 22 14739.3 -2105.6 7346.9 9.7 301.9 11.0 59.3 23 16239.1 -2105.1 8815.6 9.7 312.9 11.0 59.3
SD.=16.3 d=0.4 S.D.=16.2
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 08:04 09:58 –:– –:– 14:21 16:14 70 07:49 09:22 –:– –:– 14:56 16:30 68 07:36 08:57 10:40 13:38 15:22 16:42 66 07:26 08:37 09:57 14:21 15:41 16:52 64 07:17 08:21 09:29 14:49 15:57 17:01 62 07:09 08:08 09:07 15:11 16:10 17:09 60 07:02 07:57 08:50 15:28 16:22 17:16 58 06:56 07:47 08:35 15:43 16:31 17:22 56 06:51 07:38 08:23 15:55 16:40 17:28 54 06:45 07:30 08:12 16:06 16:48 17:33 52 06:41 07:23 08:02 16:16 16:55 17:38 50 06:36 07:17 07:54 16:24 17:01 17:42 45 06:26 07:03 07:36 16:43 17:15 17:52 40 06:17 06:51 07:21 16:57 17:27 18:01 35 06:09 06:40 07:08 17:10 17:38 18:09 30 06:02 06:31 06:57 17:21 17:47 18:16 20 05:47 06:14 06:38 17:40 18:04 18:31 10 05:32 05:58 06:21 17:57 18:19 18:45 0 05:17 05:43 06:05 18:13 18:35 19:01
-10 04:60 05:27 05:49 18:28 18:51 19:18 -20 04:39 05:08 05:32 18:45 19:10 19:38 -30 04:13 04:45 05:12 19:05 19:32 20:04 -35 03:56 04:32 05:00 19:17 19:46 20:21 -40 03:35 04:15 04:47 19:30 20:02 20:42 -45 03:08 03:55 04:31 19:46 20:22 21:08 -50 02:30 03:29 04:11 20:06 20:48 21:46 -52 02:09 03:16 04:01 20:15 21:01 22:07 -54 01:41 03:01 03:51 20:26 21:16 22:34 -56 00:53 02:43 03:39 20:38 21:33 23:19 -58 –:– 02:20 03:24 20:52 21:55 –:– -60 –:– 01:50 03:08 21:09 22:25 –:–
Moonrise Moonset Lat.   Wed Thu Fri Wed Thu Fri 72 10:42 10:37 10:32 20:01 21:55 23:48 70 10:31 10:32 10:33 20:10 21:57 23:44 68 10:21 10:28 10:34 20:18 21:59 23:40 66 10:14 10:24 10:34 20:24 22:01 23:37 64 10:07 10:21 10:35 20:30 22:02 23:34 62 10:01 10:19 10:35 20:34 22:03 23:32 60 09:56 10:17 10:36 20:38 22:04 23:30 58 09:52 10:15 10:36 20:42 22:05 23:28 56 09:48 10:13 10:37 20:45 22:06 23:26 54 09:44 10:11 10:37 20:48 22:06 23:25 52 09:41 10:10 10:37 20:50 22:07 23:24 50 09:38 10:08 10:38 20:53 22:08 23:22 45 09:31 10:05 10:38 20:57 22:09 23:20 40 09:26 10:03 10:39 21:02 22:10 23:18 35 09:21 10:01 10:39 21:05 22:11 23:16 30 09:17 09:59 10:40 21:08 22:11 23:14 20 09:10 09:56 10:41 21:14 22:13 23:11 10 09:04 09:53 10:41 21:18 22:14 23:09 0 08:58 09:50 10:42 21:23 22:15 23:07
-10 08:52 09:47 10:43 21:27 22:16 23:04 -20 08:45 09:45 10:43 21:32 22:17 23:02 -30 08:38 09:41 10:44 21:37 22:18 22:59 -35 08:34 09:39 10:45 21:40 22:19 22:57 -40 08:29 09:37 10:45 21:43 22:19 22:55 -45 08:24 09:35 10:46 21:47 22:20 22:53 -50 08:17 09:32 10:47 21:51 22:21 22:50 -52 08:14 09:31 10:47 21:53 22:22 22:49 -54 08:11 09:29 10:48 21:56 22:22 22:48 -56 08:07 09:28 10:48 21:58 22:23 22:47 -58 08:03 09:26 10:49 22:01 22:23 22:45 -60 07:58 09:24 10:49 22:04 22:24 22:43
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 13 08:18 08:30 12:08 15:10 02:43 3(14%) 14 08:41 08:52 12:08 16:02 03:36 4(23%) 15 09:03 09:14 12:09 16:54 04:28 5(34%)
11
 
January 16, 17 ,18 (Sat., Sun., Mon.) Aries Venus Mars Jupiter Saturn
Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11452.5 21515.1 -2138.7 25959.1 -1220.6 30039.4 355.6 22324.4 -2041.3 1 12955.0 23014.3 -2139.1 27500.3 -1221.1 31541.9 355.6 23826.6 -2041.3 2 14457.5 24513.5 -2139.4 29001.5 -1221.5 33044.4 355.6 25328.8 -2041.4 3 15959.9 26012.7 -2139.7 30502.7 -1221.9 34546.9 355.7 26831.0 -2041.4 4 17502.4 27511.8 -2140.0 32003.8 -1222.4 049.5 355.7 28333.2 -2041.4 5 19004.9 29011.0 -2140.4 33505.0 -1222.8 1552.0 355.7 29835.4 -2041.5 6 20507.3 30510.2 -2140.7 35006.2 -1223.2 3054.5 355.8 31337.6 -2041.5 7 22009.8 32009.4 -2141.0 507.4 -1223.7 4557.0 355.8 32839.8 -2041.5 8 23512.2 33508.6 -2141.3 2008.6 -1224.1 6059.5 355.8 34342.0 -2041.5 9 25014.7 35007.8 -2141.6 3509.7 -1224.5 7602.1 355.9 35844.3 -2041.6
10 26517.2 506.9 -2142.0 5010.9 -1225.0 9104.6 355.9 1346.5 -2041.6 11 28019.6 2006.1 -2142.3 6512.1 -1225.4 10607.1 356.0 2848.7 -2041.6 12 29522.1 3505.3 -2142.6 8013.3 -1225.9 12109.6 356.0 4350.9 -2041.7 13 31024.6 5004.5 -2142.9 9514.5 -1226.3 13612.1 356.0 5853.1 -2041.7 14 32527.0 6503.7 -2143.2 11015.7 -1226.7 15114.7 356.1 7355.3 -2041.7 15 34029.5 8002.9 -2143.5 12516.8 -1227.2 16617.2 356.1 8857.5 -2041.7 16 35532.0 9502.0 -2143.8 14018.0 -1227.6 18119.7 356.1 10359.7 -2041.8 17 1034.4 11001.2 -2144.1 15519.2 -1228.0 19622.2 356.2 11901.9 -2041.8 18 2536.9 12500.4 -2144.5 17020.4 -1228.4 21124.7 356.2 13404.1 -2041.8 19 4039.4 13959.6 -2144.8 18521.6 -1228.9 22627.3 356.3 14906.3 -2041.9 20 5541.8 15458.8 -2145.1 20022.7 -1229.3 24129.8 356.3 16408.5 -2041.9 21 7044.3 16957.9 -2145.4 21523.9 -1229.7 25632.3 356.3 17910.7 -2041.9 22 8546.7 18457.1 -2145.7 23025.1 -1230.2 27134.8 356.4 19412.9 -2041.9 23 10049.2 19956.3 -2146.0 24526.3 -1230.6 28637.4 356.4 20915.2 -2042.0 Mer.pass.:16:17 v-0.8 d-0.3 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11551.7 21455.5 -2146.3 26027.5 -1231.0 30139.9 356.4 22417.4 -2042.0 1 13054.1 22954.7 -2146.6 27528.7 -1231.5 31642.4 356.5 23919.6 -2042.0 2 14556.6 24453.8 -2146.9 29029.8 -1231.9 33144.9 356.5 25421.8 -2042.1 3 16059.1 25953.0 -2147.2 30531.0 -1232.3 34647.5 356.6 26924.0 -2042.1 4 17601.5 27452.2 -2147.5 32032.2 -1232.8 150.0 356.6 28426.2 -2042.1 5 19104.0 28951.4 -2147.8 33533.4 -1233.2 1652.5 356.6 29928.4 -2042.1 6 20606.5 30450.6 -2148.1 35034.6 -1233.6 3155.0 356.7 31430.6 -2042.2 7 22108.9 31949.7 -2148.4 535.8 -1234.1 4657.6 356.7 32932.8 -2042.2 8 23611.4 33448.9 -2148.7 2036.9 -1234.5 6200.1 356.8 34435.0 -2042.2 9 25113.8 34948.1 -2148.9 3538.1 -1234.9 7702.6 356.8 35937.2 -2042.2
10 26616.3 447.3 -2149.2 5039.3 -1235.3 9205.2 356.8 1439.4 -2042.3 11 28118.8 1946.4 -2149.5 6540.5 -1235.8 10707.7 356.9 2941.7 -2042.3 12 29621.2 3445.6 -2149.8 8041.7 -1236.2 12210.2 356.9 4443.9 -2042.3 13 31123.7 4944.8 -2150.1 9542.9 -1236.6 13712.7 357.0 5946.1 -2042.4 14 32626.2 6444.0 -2150.4 11044.0 -1237.1 15215.3 357.0 7448.3 -2042.4 15 34128.6 7943.1 -2150.7 12545.2 -1237.5 16717.8 357.0 8950.5 -2042.4 16 35631.1 9442.3 -2151.0 14046.4 -1237.9 18220.3 357.1 10452.7 -2042.4 17 1133.6 10941.5 -2151.2 15547.6 -1238.3 19722.9 357.1 11954.9 -2042.5 18 2636.0 12440.7 -2151.5 17048.8 -1238.8 21225.4 357.2 13457.1 -2042.5 19 4138.5 13939.8 -2151.8 18550.0 -1239.2 22727.9 357.2 14959.3 -2042.5 20 5641.0 15439.0 -2152.1 20051.1 -1239.6 24230.5 357.2 16501.5 -2042.6 21 7143.4 16938.2 -2152.4 21552.3 -1240.1 25733.0 357.3 18003.8 -2042.6 22 8645.9 18437.4 -2152.7 23053.5 -1240.5 27235.5 357.3 19506.0 -2042.6 23 10148.3 19936.5 -2152.9 24554.7 -1240.9 28738.0 357.4 21008.2 -2042.6 Mer.pass.:16:13 v-0.8 d-0.3 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11650.8 21435.7 -2153.2 26055.9 -1241.3 30240.6 357.4 22510.4 -2042.7 1 13153.3 22934.9 -2153.5 27557.1 -1241.8 31743.1 357.4 24012.6 -2042.7 2 14655.7 24434.0 -2153.8 29058.3 -1242.2 33245.6 357.5 25514.8 -2042.7 3 16158.2 25933.2 -2154.0 30559.4 -1242.6 34748.2 357.5 27017.0 -2042.7 4 17700.7 27432.4 -2154.3 32100.6 -1243.1 250.7 357.6 28519.2 -2042.8 5 19203.1 28931.6 -2154.6 33601.8 -1243.5 1753.2 357.6 30021.4 -2042.8 6 20705.6 30430.7 -2154.8 35103.0 -1243.9 3255.8 357.7 31523.7 -2042.8 7 22208.1 31929.9 -2155.1 604.2 -1244.3 4758.3 357.7 33025.9 -2042.9 8 23710.5 33429.1 -2155.4 2105.4 -1244.8 6300.8 357.7 34528.1 -2042.9 9 25213.0 34928.2 -2155.6 3606.6 -1245.2 7803.4 357.8 030.3 -2042.9
10 26715.5 427.4 -2155.9 5107.7 -1245.6 9305.9 357.8 1532.5 -2042.9 11 28217.9 1926.6 -2156.2 6608.9 -1246.0 10808.5 357.9 3034.7 -2043.0 12 29720.4 3425.8 -2156.4 8110.1 -1246.5 12311.0 357.9 4536.9 -2043.0 13 31222.8 4924.9 -2156.7 9611.3 -1246.9 13813.5 358.0 6039.1 -2043.0 14 32725.3 6424.1 -2157.0 11112.5 -1247.3 15316.1 358.0 7541.3 -2043.0 15 34227.8 7923.3 -2157.2 12613.7 -1247.7 16818.6 358.0 9043.6 -2043.1 16 35730.2 9422.4 -2157.5 14114.9 -1248.2 18321.1 358.1 10545.8 -2043.1 17 1232.7 10921.6 -2157.7 15616.1 -1248.6 19823.7 358.1 12048.0 -2043.1 18 2735.2 12420.8 -2158.0 17117.2 -1249.0 21326.2 358.2 13550.2 -2043.2 19 4237.6 13919.9 -2158.2 18618.4 -1249.4 22828.7 358.2 15052.4 -2043.2 20 5740.1 15419.1 -2158.5 20119.6 -1249.9 24331.3 358.3 16554.6 -2043.2 21 7242.6 16918.3 -2158.8 21620.8 -1250.3 25833.8 358.3 18056.8 -2043.2 22 8745.0 18417.4 -2159.0 23122.0 -1250.7 27336.4 358.4 19559.0 -2043.3 23 10247.5 19916.6 -2159.3 24623.2 -1251.1 28838.9 358.4 21101.3 -2043.3 Mer.pass.:16:09 v-0.8 d-0.3 m-3.9 v1.2 d-0.4 m1.1 v2.5 d0.0 m-2.1 v2.2 d-0.0 m0.5
Stars SHA Dec
Alpheratz 35741.8 2910.9 Ankaa 35314.2 -4213.4
Schedar 34938.5 5637.7 Diphda 34854.1 -1754.1
Achernar 33525.6 -5709.7 Hamal 32758.7 2332.3 Polaris 31647.0 8920.1
Akamar 31516.9 -4014.8 Menkar 31413.1 409.0 Mirfak 30837.5 4955.1
Aldebaran 29047.1 1632.3 Rigel 28110.1 -811.3
Capella 28031.4 4600.8 Bellatrix 27829.8 621.6
Elnath 27810.1 2837.1 Alnilam 27544.3 -111.8
Betelgeuse 27059.1 724.3 Canopus 26354.8 -5242.6
Sirius 25831.7 -1644.4 Adara 25510.7 -2859.9
Procyon 24457.5 510.9 Pollux 24325.1 2759.0
Avi or 23416.6 -5933.8 Suhail 22250.7 -4329.9
Miaplacidus 22138.3 -6947.0 Alphard 21754.0 -843.9 Regulus 20741.4 1153.1
Dubhe 19349.3 6139.6 Denebola 18231.7 1428.8
Gienah 17550.3 -1737.8 Acrux 17306.9 -6311.0
Gacrux 17158.6 -5711.9 Alioth 16619.2 5552.1 Spica 15829.4 -1114.6
Alcaid 15257.6 4913.8 Hadar 14845.3 -6026.6
Menkent 14805.5 -3626.7 Arcturus 14554.1 1906.2
Rigil Kent. 13949.4 -6053.7 Zubenelg. 13703.6 -1606.3
Kochab 13720.7 7405.2 Alphecca 12609.7 2639.7
Antares 11224.3 -2627.8 Atria 10724.9 -6903.0
S abi k 10210.8 -1544.5 Shaula 9619.9 -3706.6
Rasalhague 9605.1 1233.1 Etamin 9045.8 5129.3
Kaus Aust . 8341.8 -3422.4 Vega 8038.2 3848.0
Nunki 7556.5 -2616.4 Altair 6206.9 854.7
Peaco ck 5317.1 -5640.9 Deneb 4930.7 4520.4
Enif 3345.7 957.0 Alnair 2742.0 -4653.1
Fomalhaut 1522.4 -2932.3 Scheat 1351.9 2810.3
Markab 1336.8 1517.6
2016/1/1   SHA Mer.pass Venus 10022.6 09:40
Mars 14506.6 06:40 Jupiter 18546.8 03:57 Saturn 10831.9 09:05
2016/1/1   SHA Mer.pass Venus 9903.8 09:41
Mars 14435.8 06:38 Jupiter 18548.2 03:53 Saturn 10825.7 09:02
2016/1/1   SHA Mer.pass Venus 9744.9 09:42
Mars 14405.1 06:36 Jupiter 18549.8 03:49 Saturn 10819.6 08:58
Horizontal paralax Venus: 0.1
2016 January 16 to Jan. 18
h Sun Moon Sat GHA Dec GHA   ν    Dec d HP
0 17738.9 -2104.7 10244.4 9.7 323.9 11.0 59.3 1 19238.6 -2104.2 11713.1 9.7 334.9 11.0 59.3 2 20738.4 -2103.8 13141.8 9.7 345.8 10.9 59.3 3 22238.2 -2103.3 14610.5 9.7 356.8 10.9 59.3 4 23738.0 -2102.8 16039.2 9.7 407.7 10.9 59.3 5 25237.8 -2102.4 17507.8 9.7 418.5 10.9 59.3 6 26737.5 -2101.9 18936.5 9.7 429.4 10.8 59.3 7 28237.3 -2101.4 20405.2 9.7 440.2 10.8 59.3 8 29737.1 -2101.0 21833.8 9.6 451.0 10.8 59.3 9 31236.9 -2100.5 23302.4 9.6 501.8 10.7 59.2
10 32736.7 -2100.0 24731.1 9.6 512.5 10.7 59.2 11 34236.5 -2059.5 26159.7 9.6 523.2 10.7 59.2 12 35736.2 -2059.1 27628.3 9.6 533.9 10.6 59.2 13 1236.0 -2058.6 29056.8 9.6 544.5 10.6 59.2 14 2735.8 -2058.1 30525.4 9.6 555.1 10.6 59.2 15 4235.6 -2057.7 31954.0 9.5 605.6 10.5 59.2 16 5735.4 -2057.2 33422.5 9.5 616.2 10.5 59.2 17 7235.2 -2056.7 34851.0 9.5 626.7 10.5 59.2 18 8735.0 -2056.2 319.5 9.5 637.1 10.4 59.2 19 10234.7 -2055.8 1748.0 9.5 647.5 10.4 59.2 20 11734.5 -2055.3 3216.5 9.5 657.9 10.3 59.2 21 13234.3 -2054.8 4644.9 9.4 708.2 10.3 59.2 22 14734.1 -2054.3 6113.3 9.4 718.5 10.3 59.2 23 16233.9 -2053.8 7541.8 9.4 728.7 10.2 59.2
SD.=16.3 d=0.5 S.D.=16.2
Sun GHA Dec GHA   ν    Dec d HP 0 17733.7 -2053.4 9010.2 9.4 738.9 10.2 59.2 1 19233.5 -2052.9 10438.5 9.4 749.0 10.1 59.2 2 20733.3 -2052.4 11906.9 9.3 759.1 10.1 59.2 3 22233.0 -2051.9 13335.2 9.3 809.2 10.0 59.1 4 23732.8 -2051.4 14803.5 9.3 819.1 10.0 59.1 5 25232.6 -2051.0 16231.8 9.3 829.1 9.9 59.1 6 26732.4 -2050.5 17700.1 9.3 839.0 9.9 59.1 7 28232.2 -2050.0 19128.3 9.2 848.8 9.8 59.1 8 29732.0 -2049.5 20556.6 9.2 858.6 9.8 59.1 9 31231.8 -2049.0 22024.8 9.2 908.3 9.7 59.1
10 32731.6 -2048.5 23452.9 9.2 918.0 9.6 59.1 11 34231.4 -2048.0 24921.1 9.1 927.6 9.6 59.1 12 35731.2 -2047.6 26349.2 9.1 937.2 9.5 59.1 13 1230.9 -2047.1 27817.3 9.1 946.7 9.5 59.1 14 2730.7 -2046.6 29245.4 9.1 956.1 9.4 59.1 15 4230.5 -2046.1 30713.5 9.0 1005.5 9.3 59.1 16 5730.3 -2045.6 32141.5 9.0 1014.8 9.3 59.0 17 7230.1 -2045.1 33609.5 9.0 1024.1 9.2 59.0 18 8729.9 -2044.6 35037.5 9.0 1033.2 9.2 59.0 19 10229.7 -2044.1 505.5 8.9 1042.4 9.1 59.0 20 11729.5 -2043.6 1933.4 8.9 1051.4 9.0 59.0 21 13229.3 -2043.1 3401.3 8.9 1100.4 9.0 59.0 22 14729.1 -2042.6 4829.2 8.9 1109.4 8.9 59.0 23 16228.9 -2042.1 6257.1 8.8 1118.2 8.8 59.0
SD.=16.3 d=0.5 S.D.=16.1
Mon GHA Dec GHA   ν    Dec d HP 0 17728.7 -2041.6 7724.9 8.8 1127.0 8.8 59.0 1 19228.5 -2041.1 9152.7 8.8 1135.7 8.7 59.0 2 20728.3 -2040.6 10620.5 8.8 1144.4 8.6 59.0 3 22228.1 -2040.2 12048.2 8.7 1152.9 8.5 58.9 4 23727.9 -2039.7 13516.0 8.7 1201.4 8.5 58.9 5 25227.7 -2039.2 14943.7 8.7 1209.9 8.4 58.9 6 26727.5 -2038.7 16411.3 8.7 1218.2 8.3 58.9 7 28227.3 -2038.2 17839.0 8.6 1226.5 8.2 58.9 8 29727.0 -2037.7 19306.6 8.6 1234.7 8.2 58.9 9 31226.8 -2037.1 20734.2 8.6 1242.8 8.1 58.9
10 32726.6 -2036.6 22201.8 8.6 1250.9 8.0 58.9 11 34226.4 -2036.1 23629.3 8.5 1258.8 7.9 58.9 12 35726.2 -2035.6 25056.8 8.5 1306.7 7.8 58.9 13 1226.0 -2035.1 26524.3 8.5 1314.5 7.8 58.8 14 2725.8 -2034.6 27951.8 8.4 1322.3 7.7 58.8 15 4225.6 -2034.1 29419.2 8.4 1329.9 7.6 58.8 16 5725.4 -2033.6 30846.6 8.4 1337.5 7.5 58.8 17 7225.2 -2033.1 32314.0 8.4 1344.9 7.4 58.8 18 8725.0 -2032.6 33741.4 8.3 1352.3 7.3 58.8 19 10224.8 -2032.1 35208.7 8.3 1359.6 7.3 58.8 20 11724.6 -2031.6 636.0 8.3 1406.8 7.2 58.8 21 13224.4 -2031.1 2103.3 8.3 1414.0 7.1 58.8 22 14724.2 -2030.6 3530.5 8.2 1421.0 7.0 58.7 23 16224.1 -2030.0 4957.8 8.2 1428.0 6.9 58.7
SD.=16.3 d=0.5 S.D.=16.1
Twilight Twilight Lat.   Naut. Civil Sunrise Sunset Civil Naut. 72 07:57 09:46 –:– –:– 14:35 16:24 70 07:43 09:13 11:54 12:26 15:07 16:38 68 07:31 08:50 10:26 13:55 15:31 16:49 66 07:22 08:31 09:48 14:32 15:49 16:59 64 07:13 08:16 09:22 14:58 16:04 17:07 62 07:06 08:04 09:02 15:19 16:17 17:15 60 06:59 07:53 08:45 15:35 16:27 17:21 58 06:53 07:44 08:31 15:49 16:37 17:27 56 06:48 07:35 08:20 16:01 16:45 17:32 54 06:43 07:28 08:09 16:11 16:53 17:37 52 06:39 07:21 07:60 16:20 16:59 17:42 50 06:35 07:15 07:51 16:29 17:05 17:46 45 06:25 07:01 07:34 16:46 17:19 17:55 40 06:17 06:50 07:19 17:01 17:30 18:04 35 06:09 06:40 07:07 17:13 17:40 18:11 30 06:01 06:31 06:56 17:24 17:49 18:19 20 05:47 06:14 06:38 17:42 18:06 18:33 10 05:33 05:59 06:22 17:58 18:21 18:47 0 05:18 05:44 06:06 18:14 18:36 19:01
-10 05:02 05:28 05:51 18:29 18:52 19:18 -20 04:42 05:10 05:34 18:46 19:10 19:38 -30 04:16 04:48 05:15 19:05 19:31 20:03 -35 03:60 04:35 05:03 19:16 19:45 20:20 -40 03:39 04:19 04:50 19:29 20:00 20:40 -45 03:13 03:59 04:35 19:44 20:20 21:05 -50 02:37 03:34 04:16 20:04 20:45 21:41 -52 02:17 03:22 04:06 20:13 20:57 22:01 -54 01:51 03:07 03:56 20:23 21:11 22:26 -56 01:12 02:50 03:44 20:34 21:28 23:03 -58 –:– 02:29 03:31 20:48 21:49 –:– -60 –:– 02:01 03:15 21:03 22:16 –:–
Moonrise Moonset Lat.   Sat Sun Mon Sat Sun Mon 72 10:27 10:22 10:16 –:– 01:42 03:39 70 10:34 10:36 10:39 –:– 01:30 03:17 68 10:40 10:47 10:57 –:– 01:21 03:01 66 10:45 10:56 11:11 –:– 01:13 02:47 64 10:49 11:04 11:23 –:– 01:06 02:36 62 10:52 11:11 11:33 –:– 00:60 02:27 60 10:56 11:17 11:42 –:– 00:55 02:19 58 10:58 11:22 11:50 –:– 00:51 02:12 56 11:01 11:27 11:56 –:– 00:47 02:06 54 11:03 11:31 12:03 –:– 00:43 02:00 52 11:05 11:35 12:08 –:– 00:40 01:55 50 11:07 11:39 12:13 –:– 00:37 01:51 45 11:11 11:46 12:24 –:– 00:31 01:41 40 11:15 11:53 12:33 –:– 00:26 01:33 35 11:18 11:58 12:41 –:– 00:21 01:26 30 11:21 12:03 12:47 –:– 00:17 01:20 20 11:26 12:12 12:59 –:– 00:10 01:09 10 11:30 12:19 13:10 –:– 00:04 01:00 0 11:34 12:26 13:20 23:59 –:– 00:52
-10 11:38 12:33 13:30 23:53 –:– 00:43 -20 11:42 12:41 13:40 23:47 –:– 00:34 -30 11:47 12:50 13:52 23:40 –:– 00:23 -35 11:50 12:55 13:60 23:36 –:– 00:17 -40 11:53 13:01 14:08 23:32 –:– 00:11 -45 11:57 13:08 14:17 23:27 –:– 00:03 -50 12:02 13:16 14:29 23:21 23:53 –:– -52 12:04 13:20 14:34 23:18 23:49 –:– -54 12:06 13:24 14:40 23:15 23:44 –:– -56 12:09 13:29 14:47 23:11 23:39 –:– -58 12:12 13:34 14:54 23:08 23:33 –:– -60 12:15 13:40 15:02 23:03 23:26 23:54
Sun Moon Day   Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 16 09:25 09:35 12:09 17:46 05:20 6(45%) 17 09:45 09:56 12:09 18:38 06:12 7(56%) 18 10:05 10:15 12:10 19:32 07:05 8(67%)
13
 
January 19, 20 ,21 (Tue., Wed., Thu.) Aries Venus Mars Jupiter Saturn
Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 11750.0 21415.8 -2159.5 26124.4 -1251.6 30341.4 358.4 22603.5 -2043.3 1 13252.4 22914.9 -2159.8 27625.6 -1252.0 31844.0 358.5 24105.7 -2043.3 2 14754.9 24414.1 -2200.0 29126.8 -1252.4 33346.5 358.5 25607.9 -2043.4 3 16257.3 25913.3 -2200.2 30627.9 -1252.8 34849.1 358.6 27110.1 -2043.4 4 17759.8 27412.4 -2200.5 32129.1 -1253.2 351.6 358.6 28612.3 -2043.4 5 19302.3 28911.6 -2200.7 33630.3 -1253.7 1854.1 358.7 30114.5 -2043.5 6 20804.7 30410.8 -2201.0 35131.5 -1254.1 3356.7 358.7 31616.7 -2043.5 7 22307.2 31909.9 -2201.2 632.7 -1254.5 4859.2 358.8 33119.0 -2043.5 8 23809.7 33409.1 -2201.5 2133.9 -1254.9 6401.8 358.8 34621.2 -2043.5 9 25312.1 34908.2 -2201.7 3635.1 -1255.4 7904.3 358.8 123.4 -2043.6
10 26814.6 407.4 -2201.9 5136.3 -1255.8 9406.9 358.9 1625.6 -2043.6 11 28317.1 1906.6 -2202.2 6637.5 -1256.2 10909.4 358.9 3127.8 -2043.6 12 29819.5 3405.7 -2202.4 8138.6 -1256.6 12411.9 359.0 4630.0 -2043.6 13 31322.0 4904.9 -2202.7 9639.8 -1257.0 13914.5 359.0 6132.2 -2043.7 14 32824.4 6404.1 -2202.9 11141.0 -1257.5 15417.0 359.1 7634.5 -2043.7 15 34326.9 7903.2 -2203.1 12642.2 -1257.9 16919.6 359.1 9136.7 -2043.7 16 35829.4 9402.4 -2203.4 14143.4 -1258.3 18422.1 359.2 10638.9 -2043.7 17 1331.8 10901.5 -2203.6 15644.6 -1258.7 19924.7 359.2 12141.1 -2043.8 18