the nautical almanac 2012 nautical al… · · 2017-05-20the moon's observation and is found in...

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Author:Enno Rodegerdts

December 1, 2014

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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. For security relevant applications you should buy an official version of the nautical almanac.

The Nautical Almanac 2012

Celestial Navigation useful Formulas

About Calculators

The Casio fx-300ES Plus is an inexpensive calculator at about 11 USD. It features natural input soyou enter a formula just as it would be written on paper. Entering degrees, minutes and seconds isvery simple. The Casio fx-300ES Plus has 9 memory locations and you can review many of theprevious entries you make using a special key on the calculator.

Determine Hc using a calculator

The formula

Hc = asin[sin(Declination)*sin(Latitude) + cos(Latitude)*cos(Declination)*cos(LHA)]

As it would be entered into the Casio calculator

Sin-1(Sin(Ap Latitude) x Sin(Declination) + Cos(Ap Latitude) x Cos(Declination) x Cos(LHA)

Declination is the declination of the Celestial body you're observing. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

Latitude is the Latitude where you are, think you are or where you would like to determine Hc for.Typically, you'll be using an Assumed position Latitude or Ap Latitude as it's called.

In Western Longitudes

LHA is the Local Hour Angle which is derived from subtracting your whole number value ofLongitude (Assumed or otherwise) from the whole number value of GHA (Greenwich Hour Angle).

In Eastern Longitudes

LHA, in Eastern Longitudes, is determined by rounding up the GHA figure to the next highestwhole degree figure then adding the DR. Longitude to GHA to obtain LHA. Only add the wholedegree DR. Longitude figure to the rounded up whole degree GHA figure. If the resulting LHAfigure is greater than 360 then subtract 360 from the figure to obtain the LHA.

Why would you want to determine Hc using a calculator?

It's faster than looking up in Pub. No. 249 and Pub. No. 229, highly accurate and you don't need alot of printed out pages of Latitudes from Pub. No. 249 and Pub. No. 229. Pub. No. 249 Vol. 2 & 3don't cover any declination greater than 29 degrees so you'd have to use Pub. No. 229 which isextremely large.

Celestial Navigation

Determine Z

Z = acos[(sin(Declination) sin(Ap Latitude) x sin(Hc)) (cos(Ap Latitude) x cos(Hc))]

As it would be entered into the Casio calculator...

Cos-1((Sin(Declination) Sin(AP Latitude) x Sin(Hc)) (Cos(AP Latitude) x Cos(Hc)

If the heavenly body's declination is Contrary name to the Ap Latitude enter a negative sign before it.

To obtain Zn see the rules below for Northern and Southern latitudes.

Determine Z independent of Hc

L is latitude and d is declination. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

As it would be entered into the Casio calculator...

Z = tan-1 ((sin (LHA) (cos(AP latitude) x tan(declination) (sin(AP latitude) x cos(LHA))

The sign convention used in the calculation of this azimuth formula is as follows: from Bowditch Chapter 22 CALCULATIONS AND CONVERSIONS, page 331

1) If latitude and declination are of contrary name, declination is treated as a negative quantity;2) If the local hour angle is greater than 180, it is treated as a negative quantity. If the azimuth angle as calculated is negative, add 180 to obtain the desired value.

To obtain Zn apply the following rules In Northern Latitudes LHA greater than 180....Zn=Z LHA less than 180...........Zn=360 Z

In Southern Latitudes LHA greater than 180....Zn= 180 Z LHA less than 180...........Zn= 180 + Z

Determine Refraction 0.96 Tan of (Ha)

Determine Dip using feet 0.97 x (Square Root of He (Height of Eye) in feet)

Determine Dip using meters 1.76 x (Square Root of He (Height of eye) in meters )

fair winds...clear skies and following seasTheNauticalAlmanac.com

Explanation of The Nautical Almanac Daily Pages

1 Date based on GMT/UT

2 Time based on GMT/UT (this is just integral hour only)

3 Mer. pass- meridian passage of Aries at the Prime Meridian- Greenwich- 0. Time figure is GMT/UT.

4

GHA v correction and Declination d correction. The amount to correct v and d for is determined by theminutes and seconds of time of the planet observation and is found in the Increments and Correctionspages of The Nautical Almanac. The Increments and Corrections pages are also known as The YellowPages as that's the color of the paper in the USNO published Nautical Almanac.

4am- is the magnitude or brightness of the planet. A bright planet will have a minus sign beside the figure. Afainter planet will have no sign beside its magnitude figure.

5Stars- SHA, Sidereal Hour Angle, and Declination. 59 stars are listed. Typically, only 57 stars are used fornavigational purposes in both Northern and Southern Hemispheres.

6 Mer. pass- planet meridian passage time at the Prime Meridian- Greenwich- 0. Time figure is GMT/UT.

7SHA- planet SHA at the time of meridian passage at the Prime Meridian- Greenwich- 0. Planet SHA iscalculated by subtracting planet GHA from Aries GHA. Time figure is GMT/UT.

8 Horizontal parallax- for Venus and Mars.

9 Date based on GMT/UT

10 Time based on GMT/UT (this is just integral hour only)

11 SD- Semi-diameter of the Sun. One half of the angular width of the Sun as observed on earth.

12d- the amount the declination of the Sun changes per hour. If there's a minus sign beside the declination figure in the Dec column then the Sun is in the Southern hemisphere.

13

The Moon's GHA v correction. The amount to correct the Moon's GHA using v is determined by theminutes and seconds of time of the Moon's observation and is found in the Increments and Correctionspages of The Nautical Almanac. The Increments and Corrections pages are also known as The YellowPages as that's the color of the paper in the USNO published Nautical Almanac.

14 SD- Semi-diameter of the Moon. One half of the angular width of the Moon, as observed on earth.

15

The Moon's declination d correction. It's the amount of declination the Moon changes per hour. Howeverthe amount to correct the Moon's declination using d is determined by the minutes and seconds of time ofthe Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. Thed correction is algebraically added.

An easy way to determine whether to add or subtract the d correction found in the Increments andCorrections pages is by examining the Moon's declination trend in The Nautical Almanac. If the declinationis increasing (regardless of its sign + or -) from the integral hour of the observation you made then add thed increment and increase the value of the declination. If the declination is decreasing (regardless of itssign + or -) from the integral hour of the observation you made then subtract the d increment anddecrease the value of the declination. Make sure to put the sign back on the corrected declination soyou know which hemisphere the Moon's in.

The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paperin the USNO published Nautical Almanac.

16HP- the angle between two lines, one from the center of the Moon to the center of the Earth, the otherfrom the center of the Moon to the edge of the Earth. This angle is about 56', but it changes slightly fromday to day as the distance to the Moon changes along its elliptical path around the Earth. Source- starpath.com

17 Sun- Eqn. of Time- Equation of Time is the difference between GMT/UT and LAN at Greenwich. Thefigures listed are for GMT/UT at 00h and 12h. If you look at Mer. Pass just to the right of the Eqn. of Timeyou'll find, approximately, when the Sun crosses The Prime Meridian (at Greenwich). The figures in the 12h

column indicate, approximately, how many minutes and seconds are subtracted, or added, to 12 todetermine when Local Apparent Noon is at The Prime Meridian. You can calculate, approximately, whenLAN is at your Longitude by adding, or subtracting the amount of time difference between you and

Greenwich and the Equation of Time.

17continued

Example- May 30, 2016. Mer. Pass is at UT 11:57. 12h is 02:25. This means subtract 2 minutes and 25seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075 meridian passagewould occur at about- 12 hours + 5 hours MINUS 2 minutes and 25 seconds, or UT 16:57:35.

18Sun- Mer. Pass just to the right of the Eqn. of Time is the approximate GMT/UT when the Sun crosses ThePrime Meridian (at Greenwich) for that specific date.

19

Moon- Mer. Pass- is the approximate GMT/UT when the Moon crosses The Prime Meridian (at Greenwich)or The International Date Line for that specific date. Upper means the GMT/UT when the Moon crossesThe Prime Meridian (Greenwich) and Lower means the GMT/UT when the Moon crosses The InternationalDate Line (180).

20 Moon- Age- this is the number of days past a new Moon. Typically, there are 29 days in a lunar month.

20continued

Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about of the Moon is illuminated.

21*see note at

bottom

(morning) Twilight- Naut.- the approximate GMT/UT when morning Nautical Twilight begins. Nauticaltwilight is the time when the center of the sun is 12 below the horizon and the horizon is visible enoughto be used for marine sextant observations. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

21*see note at

bottom

(morning) Twilight- Civil- the approximate GMT/UT of morning civil twilight starts when the geometriccenter of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

21*see note at

bottom

Sunrise- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

21*see note at

bottom

(evening) Twilight- Naut.- the approximate GMT/UT of when evening Nautical Twilight ends. Nauticaltwilight is the time when the center of the sun is 12 below the horizon and the horizon is no longer visibleenough to be used for sextant observations. First locate your approximate Latitude in the Lat. columnand then follow across horizontally to the right to find the time.

21*see note at

bottom

(evening) Twilight- Civil- the approximate GMT/UT of evening civil twilight that ends when the geometriccenter of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

21*see note at

bottom

Sunset- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

22*see note at

bottom

Moonrise- the approximate GMT/UT when the Moon is about 0 05' to 0 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

22*see note at

bottom

Moonset- the approximate GMT/UT when the Moon is about 0 05' to 0 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

* Note- Time of Sunrise, Sunset, Moonrise, Moonset and twilight is based on GMT/UT of the event at 0 (Greenwich). To determine the GMT/UT time at your Longitude add or subtract the time difference between your AP Longitude and Greenwich.

Explanation of The Nautical Almanac Daily Pages.odt

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

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10003.9 14313.2 -1825.8 28759.2 637.2 7118.3 1028.2 25254.7 -836.21 11506.3 15812.6 -1824.9 30301.1 637.0 8620.8 1028.2 26757.0 -836.22 13008.8 17312.0 -1824.0 31803.0 636.8 10123.2 1028.2 28259.3 -836.33 14511.3 18811.4 -1823.1 33304.9 636.7 11625.6 1028.2 29801.6 -836.34 16013.7 20310.7 -1822.2 34806.8 636.5 13128.0 1028.3 31303.9 -836.45 17516.2 21810.1 -1821.3 308.6 636.3 14630.4 1028.3 32806.2 -836.46 19018.7 23309.5 -1820.4 1810.5 636.1 16132.8 1028.3 34308.6 -836.47 20521.1 24808.9 -1819.5 3312.4 636.0 17635.3 1028.4 35810.9 -836.58 22023.6 26308.3 -1818.6 4814.3 635.8 19137.7 1028.4 1313.2 -836.59 23526.0 27807.6 -1817.6 6316.2 635.6 20640.1 1028.4 2815.5 -836.610 25028.5 29307.0 -1816.7 7818.1 635.4 22142.5 1028.5 4317.8 -836.611 26531.0 30806.4 -1815.8 9319.9 635.3 23644.9 1028.5 5820.1 -836.712 28033.4 32305.8 -1814.9 10821.8 635.1 25147.3 1028.5 7322.4 -836.713 29535.9 33805.2 -1814.0 12323.7 634.9 26649.8 1028.6 8824.7 -836.814 31038.4 35304.6 -1813.1 13825.6 634.8 28152.2 1028.6 10327.1 -836.815 32540.8 804.0 -1812.1 15327.5 634.6 29654.6 1028.6 11829.4 -836.916 34043.3 2303.3 -1811.2 16829.4 634.4 31157.0 1028.7 13331.7 -836.917 35545.8 3802.7 -1810.3 18331.3 634.3 32659.4 1028.7 14834.0 -836.918 1048.2 5302.1 -1809.4 19833.2 634.1 34201.8 1028.7 16336.3 -837.019 2550.7 6801.5 -1808.5 21335.1 633.9 35704.2 1028.8 17838.6 -837.020 4053.2 8300.9 -1807.5 22837.0 633.7 1206.6 1028.8 19340.9 -837.121 5555.6 9800.3 -1806.6 24338.9 633.6 2709.1 1028.8 20843.3 -837.122 7058.1 11259.7 -1805.7 25840.8 633.4 4211.5 1028.9 22345.6 -837.223 8600.5 12759.1 -1804.8 27342.7 633.2 5713.9 1028.9 23847.9 -837.2Mer.pass.:17:16 v-0.6 d0.9 m-3.9 v1.9 d-0.2 m0.2 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10103.0 14258.4 -1803.8 28844.6 633.1 7216.3 1028.9 25350.2 -837.31 11605.5 15757.8 -1802.9 30346.5 632.9 8718.7 1029.0 26852.5 -837.32 13107.9 17257.2 -1802.0 31848.4 632.7 10221.1 1029.0 28354.8 -837.43 14610.4 18756.6 -1801.0 33350.3 632.6 11723.5 1029.0 29857.2 -837.44 16112.9 20256.0 -1800.1 34852.2 632.4 13225.9 1029.1 31359.5 -837.45 17615.3 21755.4 -1759.2 354.1 632.3 14728.3 1029.1 32901.8 -837.56 19117.8 23254.8 -1758.2 1856.0 632.1 16230.7 1029.1 34404.1 -837.57 20620.3 24754.2 -1757.3 3357.9 631.9 17733.1 1029.2 35906.4 -837.68 22122.7 26253.6 -1756.4 4859.8 631.8 19235.6 1029.2 1408.7 -837.69 23625.2 27753.0 -1755.4 6401.7 631.6 20738.0 1029.2 2911.1 -837.710 25127.7 29252.4 -1754.5 7903.6 631.4 22240.4 1029.3 4413.4 -837.711 26630.1 30751.8 -1753.6 9405.5 631.3 23742.8 1029.3 5915.7 -837.812 28132.6 32251.2 -1752.6 10907.4 631.1 25245.2 1029.3 7418.0 -837.813 29635.0 33750.6 -1751.7 12409.3 630.9 26747.6 1029.4 8920.3 -837.814 31137.5 35250.0 -1750.8 13911.2 630.8 28250.0 1029.4 10422.6 -837.915 32640.0 749.4 -1749.8 15413.1 630.6 29752.4 1029.4 11925.0 -837.916 34142.4 2248.8 -1748.9 16915.0 630.5 31254.8 1029.5 13427.3 -838.017 35644.9 3748.2 -1747.9 18416.9 630.3 32757.2 1029.5 14929.6 -838.018 1147.4 5247.6 -1747.0 19918.9 630.1 34259.6 1029.6 16431.9 -838.119 2649.8 6747.0 -1746.1 21420.8 630.0 35802.0 1029.6 17934.2 -838.120 4152.3 8246.4 -1745.1 22922.7 629.8 1304.4 1029.6 19436.5 -838.221 5654.8 9745.8 -1744.2 24424.6 629.7 2806.8 1029.7 20938.9 -838.222 7157.2 11245.2 -1743.2 25926.5 629.5 4309.2 1029.7 22441.2 -838.223 8659.7 12744.6 -1742.3 27428.4 629.4 5811.6 1029.7 23943.5 -838.3Mer.pass.:17:12 v-0.6 d0.9 m-3.9 v1.9 d-0.2 m0.2 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10202.1 14244.0 -1741.3 28930.3 629.2 7314.0 1029.8 25445.8 -838.31 11704.6 15743.4 -1740.4 30432.3 629.0 8816.4 1029.8 26948.1 -838.42 13207.1 17242.8 -1739.4 31934.2 628.9 10318.8 1029.8 28450.5 -838.43 14709.5 18742.3 -1738.5 33436.1 628.7 11821.2 1029.9 29952.8 -838.54 16212.0 20241.7 -1737.5 34938.0 628.6 13323.6 1029.9 31455.1 -838.55 17714.5 21741.1 -1736.6 439.9 628.4 14826.0 1030.0 32957.4 -838.56 19216.9 23240.5 -1735.6 1941.9 628.3 16328.4 1030.0 34459.7 -838.67 20719.4 24739.9 -1734.7 3443.8 628.1 17830.8 1030.0 002.1 -838.68 22221.9 26239.3 -1733.7 4945.7 627.9 19333.2 1030.1 1504.4 -838.79 23724.3 27738.7 -1732.8 6447.6 627.8 20835.6 1030.1 3006.7 -838.710 25226.8 29238.1 -1731.8 7949.6 627.6 22338.0 1030.1 4509.0 -838.811 26729.3 30737.5 -1730.8 9451.5 627.5 23840.4 1030.2 6011.3 -838.812 28231.7 32237.0 -1729.9 10953.4 627.3 25342.8 1030.2 7513.7 -838.813 29734.2 33736.4 -1728.9 12455.4 627.2 26845.2 1030.3 9016.0 -838.914 31236.6 35235.8 -1728.0 13957.3 627.0 28347.6 1030.3 10518.3 -838.915 32739.1 735.2 -1727.0 15459.2 626.9 29850.0 1030.3 12020.6 -839.016 34241.6 2234.6 -1726.1 17001.1 626.7 31352.4 1030.4 13522.9 -839.017 35744.0 3734.0 -1725.1 18503.1 626.6 32854.8 1030.4 15025.3 -839.118 1246.5 5233.5 -1724.1 20005.0 626.4 34357.2 1030.4 16527.6 -839.119 2749.0 6732.9 -1723.2 21506.9 626.3 35859.6 1030.5 18029.9 -839.120 4251.4 8232.3 -1722.2 23008.9 626.1 1402.0 1030.5 19532.2 -839.221 5753.9 9731.7 -1721.2 24510.8 626.0 2904.4 1030.6 21034.6 -839.222 7256.4 11231.1 -1720.3 26012.7 625.8 4406.8 1030.6 22536.9 -839.323 8758.8 12730.6 -1719.3 27514.7 625.7 5909.2 1030.6 24039.2 -839.3Mer.pass.:17:09 v-0.6 d0.9 m-3.9 v1.9 d-0.2 m0.2 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.6 2909.7Ankaa 35316.7 -4214.6

Schedar 34941.7 5636.6Diphda 34856.8 -1755.3

Achernar 33527.3 -5710.8Hamal 32801.8 2331.3Polaris 31801.6 8919.3Akamar 31518.8 -4015.6Menkar 31415.9 408.2Mirfak 30841.5 4954.4

Aldebaran 29050.2 1632.0Rigel 28112.7 -811.4

Capella 28035.5 4600.6Bellatrix 27832.8 621.5Elnath 27813.5 2837.0Alnilam 27547.1 -111.8

Betelgeuse 27102.1 724.4Canopus 26356.0 -5242.3

Sirius 25834.2 -1643.9Adara 25512.9 -2859.4

Procyon 24500.4 511.6Pollux 24328.5 2759.6Avior 23417.9 -5932.9Suhail 22252.8 -4328.9

Miaplacidus 22139.2 -6945.9Alphard 21756.8 -842.8Regulus 20744.3 1154.3Dubhe 19352.6 6140.8

Denebola 18234.5 1430.1Gienah 17553.3 -1736.5Acrux 17310.5 -6309.7

Gacrux 17202.0 -5710.6Alioth 16621.6 5553.3Spica 15832.4 -1113.5Alcaid 15259.8 4914.9Hadar 14849.6 -6025.6

Menkent 14808.9 -3625.6Arcturus 14556.6 1907.3

Rigil Kent. 13953.4 -6052.8Zubenelg. 13706.7 -1605.5Kochab 13720.6 7406.1

Alphecca 12612.1 2640.4Antares 11227.8 -2627.4

Atria 10731.1 -6902.7Sabik 10214.0 -1544.3

Shaula 9623.7 -3706.6Rasalhague 9607.7 1233.1

Etamin 9047.1 5129.3Kaus Aust. 8345.5 -3422.6

Vega 8040.1 3847.7Nunki 7559.9 -2616.8Altair 6209.6 854.1

Peacock 5321.3 -5641.8Deneb 4932.6 4519.6

Enif 3348.4 956.0Alnair 2745.3 -4654.2

Fomalhaut 1525.3 -2933.5Scheat 1354.6 2809.1Markab 1339.5 1516.4

2012/1/1 SHA Mer.passVenus 4309.4 14:28Mars 18755.4 04:47

Jupiter 33114.5 19:12Saturn 15250.8 07:07


Jupiter 33113.3 19:08Saturn 15247.2 07:04


Jupiter 33111.9 19:04Saturn 15243.7 06:60

Horizontal paralaxVenus: 0.1Mars: 0.1

2

2012 January 01 to Jan. 03

h Sun MoonSun GHA Dec GHA Dec d HP0 17913.9 -2303.8 9527.2 15.4 715.2 10.9 54.51 19413.6 -2303.6 11001.6 15.4 726.1 10.8 54.52 20913.3 -2303.4 12436.0 15.4 736.9 10.8 54.53 22413.0 -2303.2 13910.5 15.4 747.7 10.8 54.54 23912.7 -2303.0 15344.9 15.4 758.5 10.7 54.45 25412.4 -2302.8 16819.3 15.4 809.2 10.7 54.46 26912.1 -2302.6 18253.7 15.4 819.9 10.7 54.47 28411.8 -2302.4 19728.0 15.4 830.6 10.6 54.48 29911.5 -2302.2 21202.4 15.4 841.2 10.6 54.49 31411.2 -2302.0 22636.7 15.3 851.7 10.6 54.410 32910.9 -2301.8 24111.1 15.3 902.3 10.5 54.411 34410.6 -2301.6 25545.4 15.3 912.8 10.5 54.412 35910.3 -2301.4 27019.7 15.3 923.2 10.4 54.413 1410.0 -2301.2 28453.9 15.3 933.6 10.4 54.314 2909.7 -2301.0 29928.2 15.2 944.0 10.4 54.315 4409.4 -2300.8 31402.4 15.2 954.3 10.3 54.316 5909.1 -2300.6 32836.6 15.2 1004.6 10.3 54.317 7408.8 -2300.4 34310.8 15.2 1014.9 10.2 54.318 8908.5 -2300.2 35745.0 15.2 1025.1 10.2 54.319 10408.2 -2300.0 1219.2 15.1 1035.2 10.1 54.320 11907.9 -2259.8 2653.3 15.1 1045.3 10.1 54.321 13407.6 -2259.6 4127.4 15.1 1055.4 10.0 54.322 14907.3 -2259.4 5601.5 15.1 1105.4 10.0 54.323 16407.1 -2259.2 7035.5 15.0 1115.4 10.0 54.3

SD.=16.3 d=0.2 S.D.=14.9

Mon GHA Dec GHA Dec d HP0 17906.8 -2259.0 8509.5 15.0 1125.3 9.9 54.31 19406.5 -2258.8 9943.5 15.0 1135.2 9.9 54.32 20906.2 -2258.6 11417.5 15.0 1145.0 9.8 54.23 22405.9 -2258.3 12851.4 14.9 1154.8 9.8 54.24 23905.6 -2258.1 14325.3 14.9 1204.6 9.7 54.25 25405.3 -2257.9 15759.2 14.9 1214.2 9.7 54.26 26905.0 -2257.7 17233.1 14.8 1223.9 9.6 54.27 28404.7 -2257.5 18706.9 14.8 1233.5 9.6 54.28 29904.4 -2257.3 20140.6 14.8 1243.0 9.5 54.29 31404.1 -2257.1 21614.4 14.7 1252.5 9.5 54.210 32903.8 -2256.8 23048.1 14.7 1301.9 9.4 54.211 34403.5 -2256.6 24521.8 14.7 1311.3 9.3 54.212 35903.2 -2256.4 25955.4 14.6 1320.6 9.3 54.213 1402.9 -2256.2 27429.1 14.6 1329.8 9.2 54.214 2902.7 -2256.0 28902.6 14.6 1339.1 9.2 54.215 4402.4 -2255.7 30336.2 14.5 1348.2 9.1 54.216 5902.1 -2255.5 31809.7 14.5 1357.3 9.1 54.217 7401.8 -2255.3 33243.1 14.4 1406.3 9.0 54.218 8901.5 -2255.1 34716.6 14.4 1415.3 9.0 54.219 10401.2 -2254.8 149.9 14.4 1424.2 8.9 54.220 11900.9 -2254.6 1623.3 14.3 1433.1 8.8 54.221 13400.6 -2254.4 3056.6 14.3 1441.9 8.8 54.222 14900.3 -2254.2 4529.9 14.2 1450.6 8.7 54.223 16400.0 -2253.9 6003.1 14.2 1459.3 8.7 54.2

SD.=16.3 d=0.2 S.D.=14.8

Tue GHA Dec GHA Dec d HP0 17859.7 -2253.7 7436.3 14.2 1507.9 8.6 54.21 19359.5 -2253.5 8909.4 14.1 1516.5 8.5 54.22 20859.2 -2253.3 10342.5 14.1 1525.0 8.5 54.23 22358.9 -2253.0 11815.6 14.0 1533.4 8.4 54.24 23858.6 -2252.8 13248.6 14.0 1541.8 8.3 54.25 25358.3 -2252.6 14721.5 13.9 1550.1 8.3 54.26 26858.0 -2252.3 16154.4 13.9 1558.3 8.2 54.27 28357.7 -2252.1 17627.3 13.9 1606.5 8.1 54.28 29857.4 -2251.9 19100.1 13.8 1614.6 8.1 54.29 31357.1 -2251.6 20532.9 13.8 1622.7 8.0 54.210 32856.8 -2251.4 22005.7 13.7 1630.6 7.9 54.211 34356.6 -2251.2 23438.4 13.7 1638.5 7.9 54.212 35856.3 -2250.9 24911.0 13.6 1646.4 7.8 54.213 1356.0 -2250.7 26343.6 13.6 1654.1 7.7 54.214 2855.7 -2250.4 27816.1 13.5 1701.8 7.7 54.215 4355.4 -2250.2 29248.6 13.5 1709.5 7.6 54.216 5855.1 -2250.0 30721.1 13.4 1717.0 7.5 54.317 7354.8 -2249.7 32153.5 13.4 1724.5 7.4 54.318 8854.5 -2249.5 33625.8 13.3 1731.9 7.4 54.319 10354.3 -2249.2 35058.1 13.3 1739.2 7.3 54.320 11854.0 -2249.0 530.4 13.2 1746.5 7.2 54.321 13353.7 -2248.7 2002.6 13.2 1753.7 7.1 54.322 14853.4 -2248.5 3434.7 13.1 1800.8 7.1 54.323 16353.1 -2248.2 4906.8 13.1 1807.8 7.0 54.3

SD.=16.3 d=0.2 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:24 10:41 : : 13:27 15:4470 08:05 09:49 : : 14:19 16:0368 07:50 09:16 : : 14:51 16:1866 07:37 08:53 10:27 13:41 15:15 16:3164 07:26 08:34 09:49 14:19 15:34 16:4162 07:17 08:19 09:23 14:45 15:49 16:5160 07:09 08:05 09:02 15:06 16:02 16:5958 07:02 07:54 08:45 15:23 16:14 17:0656 06:56 07:44 08:31 15:37 16:23 17:1254 06:50 07:36 08:19 15:49 16:32 17:1852 06:44 07:28 08:08 15:60 16:40 17:2450 06:39 07:20 07:58 16:09 16:47 17:2945 06:28 07:05 07:38 16:29 17:03 17:4040 06:18 06:52 07:22 16:46 17:16 17:5035 06:08 06:40 07:08 16:60 17:28 17:5930 05:60 06:30 06:56 17:12 17:38 18:0820 05:44 06:11 06:35 17:32 17:56 18:2410 05:28 05:54 06:17 17:50 18:13 18:390 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 22:16 :-60 : 01:07 02:44 21:23 22:58 :

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 09:59 09:37 09:01 01:14 03:05 05:1370 10:13 10:00 09:44 01:03 02:44 04:3268 10:23 10:18 10:12 00:54 02:27 04:0466 10:32 10:33 10:34 00:46 02:14 03:4364 10:40 10:45 10:51 00:40 02:03 03:2762 10:47 10:55 11:06 00:35 01:54 03:1360 10:52 11:04 11:18 00:30 01:46 03:0258 10:57 11:11 11:28 00:26 01:39 02:5256 11:02 11:18 11:38 00:22 01:33 02:4354 11:06 11:24 11:46 00:19 01:27 02:3552 11:10 11:30 11:53 00:16 01:22 02:2850 11:13 11:35 11:60 00:13 01:18 02:2245 11:21 11:46 12:14 00:07 01:08 02:0940 11:27 11:55 12:26 00:02 01:00 01:5835 11:32 12:03 12:36 : 00:53 01:4930 11:37 12:09 12:45 : 00:47 01:4120 11:45 12:21 13:00 : 00:37 01:2710 11:52 12:32 13:14 : 00:28 01:140 11:59 12:42 13:26 : 00:20 01:03-10 12:06 12:52 13:39 : 00:11 00:52-20 12:13 13:03 13:53 : 00:02 00:40-30 12:22 13:15 14:08 23:52 : 00:26-35 12:27 13:22 14:18 23:46 : 00:18-40 12:32 13:30 14:28 23:39 : 00:09-45 12:39 13:40 14:40 23:32 23:58 :-50 12:47 13:51 14:56 23:22 23:46 :-52 12:50 13:57 15:03 23:18 23:40 :-54 12:54 14:03 15:11 23:14 23:33 23:57-56 12:59 14:09 15:19 23:08 23:26 23:47-58 13:04 14:17 15:29 23:03 23:18 23:37-60 13:09 14:25 15:41 22:56 23:09 23:25

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

00h 12h Pass Upper Lower1 03:05 03:19 12:03 18:09 05:48 8(52%)2 03:33 03:47 12:03 18:52 06:30 9(62%)3 04:01 04:15 12:04 19:37 07:14 10(71%)

3

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

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10301.3 14230.0 -1718.3 29016.6 625.5 7411.6 1030.7 25541.5 -839.41 11803.8 15729.4 -1717.4 30518.6 625.4 8914.0 1030.7 27043.8 -839.42 13306.2 17228.8 -1716.4 32020.5 625.2 10416.4 1030.8 28546.2 -839.43 14808.7 18728.3 -1715.4 33522.4 625.1 11918.8 1030.8 30048.5 -839.54 16311.1 20227.7 -1714.5 35024.4 624.9 13421.1 1030.8 31550.8 -839.55 17813.6 21727.1 -1713.5 526.3 624.8 14923.5 1030.9 33053.1 -839.66 19316.1 23226.5 -1712.5 2028.3 624.6 16425.9 1030.9 34555.5 -839.67 20818.5 24726.0 -1711.6 3530.2 624.5 17928.3 1031.0 057.8 -839.78 22321.0 26225.4 -1710.6 5032.2 624.3 19430.7 1031.0 1600.1 -839.79 23823.5 27724.8 -1709.6 6534.1 624.2 20933.1 1031.0 3102.4 -839.710 25325.9 29224.2 -1708.6 8036.0 624.0 22435.5 1031.1 4604.8 -839.811 26828.4 30723.7 -1707.7 9538.0 623.9 23937.9 1031.1 6107.1 -839.812 28330.9 32223.1 -1706.7 11039.9 623.8 25440.3 1031.2 7609.4 -839.913 29833.3 33722.5 -1705.7 12541.9 623.6 26942.7 1031.2 9111.7 -839.914 31335.8 35222.0 -1704.7 14043.8 623.5 28445.1 1031.2 10614.1 -839.915 32838.2 721.4 -1703.7 15545.8 623.3 29947.4 1031.3 12116.4 -840.016 34340.7 2220.8 -1702.8 17047.7 623.2 31449.8 1031.3 13618.7 -840.017 35843.2 3720.3 -1701.8 18549.7 623.0 32952.2 1031.4 15121.0 -840.118 1345.6 5219.7 -1700.8 20051.7 622.9 34454.6 1031.4 16623.4 -840.119 2848.1 6719.1 -1659.8 21553.6 622.8 35957.0 1031.5 18125.7 -840.120 4350.6 8218.6 -1658.8 23055.6 622.6 1459.4 1031.5 19628.0 -840.221 5853.0 9718.0 -1657.9 24557.5 622.5 3001.8 1031.5 21130.3 -840.222 7355.5 11217.4 -1656.9 26059.5 622.3 4504.2 1031.6 22632.7 -840.323 8858.0 12716.9 -1655.9 27601.4 622.2 6006.5 1031.6 24135.0 -840.3Mer.pass.:17:05 v-0.6 d1.0 m-3.9 v1.9 d-0.1 m0.1 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10400.4 14216.3 -1654.9 29103.4 622.1 7508.9 1031.7 25637.3 -840.41 11902.9 15715.7 -1653.9 30605.3 621.9 9011.3 1031.7 27139.6 -840.42 13405.4 17215.2 -1652.9 32107.3 621.8 10513.7 1031.7 28642.0 -840.43 14907.8 18714.6 -1651.9 33609.3 621.6 12016.1 1031.8 30144.3 -840.54 16410.3 20214.1 -1651.0 35111.2 621.5 13518.5 1031.8 31646.6 -840.55 17912.7 21713.5 -1650.0 613.2 621.4 15020.8 1031.9 33148.9 -840.66 19415.2 23212.9 -1649.0 2115.2 621.2 16523.2 1031.9 34651.3 -840.67 20917.7 24712.4 -1648.0 3617.1 621.1 18025.6 1032.0 153.6 -840.68 22420.1 26211.8 -1647.0 5119.1 621.0 19528.0 1032.0 1655.9 -840.79 23922.6 27711.3 -1646.0 6621.1 620.8 21030.4 1032.1 3158.2 -840.710 25425.1 29210.7 -1645.0 8123.0 620.7 22532.8 1032.1 4700.6 -840.811 26927.5 30710.2 -1644.0 9625.0 620.5 24035.1 1032.1 6202.9 -840.812 28430.0 32209.6 -1643.0 11127.0 620.4 25537.5 1032.2 7705.2 -840.813 29932.5 33709.0 -1642.0 12628.9 620.3 27039.9 1032.2 9207.6 -840.914 31434.9 35208.5 -1641.0 14130.9 620.1 28542.3 1032.3 10709.9 -840.915 32937.4 707.9 -1640.0 15632.9 620.0 30044.7 1032.3 12212.2 -841.016 34439.9 2207.4 -1639.0 17134.8 619.9 31547.0 1032.4 13714.5 -841.017 35942.3 3706.8 -1638.0 18636.8 619.7 33049.4 1032.4 15216.9 -841.018 1444.8 5206.3 -1637.0 20138.8 619.6 34551.8 1032.4 16719.2 -841.119 2947.2 6705.7 -1636.0 21640.8 619.5 054.2 1032.5 18221.5 -841.120 4449.7 8205.2 -1635.0 23142.7 619.3 1556.6 1032.5 19723.9 -841.221 5952.2 9704.6 -1634.0 24644.7 619.2 3058.9 1032.6 21226.2 -841.222 7454.6 11204.1 -1633.0 26146.7 619.1 4601.3 1032.6 22728.5 -841.223 8957.1 12703.5 -1632.0 27648.7 618.9 6103.7 1032.7 24230.8 -841.3Mer.pass.:17:01 v-0.6 d1.0 m-3.9 v2.0 d-0.1 m0.1 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10459.6 14203.0 -1631.0 29150.7 618.8 7606.1 1032.7 25733.2 -841.31 12002.0 15702.4 -1630.0 30652.6 618.7 9108.5 1032.8 27235.5 -841.42 13504.5 17201.9 -1629.0 32154.6 618.6 10610.8 1032.8 28737.8 -841.43 15007.0 18701.3 -1628.0 33656.6 618.4 12113.2 1032.9 30240.2 -841.44 16509.4 20200.8 -1627.0 35158.6 618.3 13615.6 1032.9 31742.5 -841.55 18011.9 21700.3 -1626.0 700.6 618.2 15118.0 1032.9 33244.8 -841.56 19514.4 23159.7 -1625.0 2202.5 618.0 16620.3 1033.0 34747.2 -841.57 21016.8 24659.2 -1624.0 3704.5 617.9 18122.7 1033.0 249.5 -841.68 22519.3 26158.6 -1623.0 5206.5 617.8 19625.1 1033.1 1751.8 -841.69 24021.7 27658.1 -1621.9 6708.5 617.7 21127.5 1033.1 3254.1 -841.710 25524.2 29157.5 -1620.9 8210.5 617.5 22629.8 1033.2 4756.5 -841.711 27026.7 30657.0 -1619.9 9712.5 617.4 24132.2 1033.2 6258.8 -841.712 28529.1 32156.5 -1618.9 11214.5 617.3 25634.6 1033.3 7801.1 -841.813 30031.6 33655.9 -1617.9 12716.5 617.2 27137.0 1033.3 9303.5 -841.814 31534.1 35155.4 -1616.9 14218.5 617.0 28639.3 1033.4 10805.8 -841.915 33036.5 654.8 -1615.9 15720.4 616.9 30141.7 1033.4 12308.1 -841.916 34539.0 2154.3 -1614.8 17222.4 616.8 31644.1 1033.5 13810.5 -841.917 041.5 3653.8 -1613.8 18724.4 616.7 33146.5 1033.5 15312.8 -842.018 1543.9 5153.2 -1612.8 20226.4 616.5 34648.8 1033.6 16815.1 -842.019 3046.4 6652.7 -1611.8 21728.4 616.4 151.2 1033.6 18317.5 -842.120 4548.9 8152.2 -1610.8 23230.4 616.3 1653.6 1033.6 19819.8 -842.121 6051.3 9651.6 -1609.7 24732.4 616.2 3155.9 1033.7 21322.1 -842.122 7553.8 11151.1 -1608.7 26234.4 616.0 4658.3 1033.7 22824.5 -842.223 9056.2 12650.6 -1607.7 27736.4 615.9 6200.7 1033.8 24326.8 -842.2Mer.pass.:16:57 v-0.5 d1.0 m-3.9 v2.0 d-0.1 m0.1 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.6 2909.7Ankaa 35316.7 -4214.6

Schedar 34941.7 5636.6Diphda 34856.8 -1755.3


Aldebaran 29050.3 1632.0Rigel 28112.7 -811.4



Sirius 25834.2 -1643.9Adara 25512.9 -2859.5








Atria 10731.0 -6902.7Sabik 10214.0 -1544.3


Etamin 9047.1 5129.2Kaus Aust. 8345.5 -3422.6


Peacock 5321.3 -5641.8Deneb 4932.6 4519.6

Enif 3348.4 956.0Alnair 2745.3 -4654.2



Jupiter 33110.3 19:00Saturn 15240.2 06:56


Jupiter 33108.5 18:56Saturn 15236.9 06:52


Jupiter 33106.5 18:53Saturn 15233.6 06:49


4


h Sun MoonWed GHA Dec GHA Dec d HP0 17852.8 -2248.0 6338.9 13.0 1814.8 6.9 54.31 19352.5 -2247.8 7810.8 13.0 1821.6 6.8 54.32 20852.2 -2247.5 9242.8 12.9 1828.4 6.8 54.33 22352.0 -2247.3 10714.7 12.9 1835.2 6.7 54.34 23851.7 -2247.0 12146.5 12.8 1841.8 6.6 54.35 25351.4 -2246.8 13618.3 12.8 1848.4 6.5 54.36 26851.1 -2246.5 15050.0 12.7 1854.9 6.4 54.47 28350.8 -2246.3 16521.7 12.7 1901.3 6.4 54.48 29850.5 -2246.0 17953.3 12.6 1907.6 6.3 54.49 31350.3 -2245.7 19424.9 12.5 1913.8 6.2 54.410 32850.0 -2245.5 20856.4 12.5 1920.0 6.1 54.411 34349.7 -2245.2 22327.9 12.4 1926.0 6.0 54.412 35849.4 -2245.0 23759.3 12.4 1932.0 5.9 54.413 1349.1 -2244.7 25230.7 12.3 1937.9 5.9 54.414 2848.8 -2244.5 26702.0 12.3 1943.7 5.8 54.415 4348.5 -2244.2 28133.2 12.2 1949.4 5.7 54.516 5848.3 -2243.9 29604.4 12.2 1955.1 5.6 54.517 7348.0 -2243.7 31035.6 12.1 2000.6 5.5 54.518 8847.7 -2243.4 32506.7 12.1 2006.1 5.4 54.519 10347.4 -2243.2 33937.7 12.0 2011.4 5.3 54.520 11847.1 -2242.9 35408.7 12.0 2016.7 5.2 54.521 13346.8 -2242.6 839.7 11.9 2021.9 5.1 54.522 14846.6 -2242.4 2310.5 11.9 2027.0 5.1 54.523 16346.3 -2242.1 3741.4 11.8 2032.0 5.0 54.6

SD.=16.3 d=0.2 S.D.=14.8

Thu GHA Dec GHA Dec d HP0 17846.0 -2241.8 5212.2 11.8 2036.9 4.9 54.61 19345.7 -2241.6 6642.9 11.7 2041.7 4.8 54.62 20845.4 -2241.3 8113.6 11.6 2046.5 4.7 54.63 22345.2 -2241.0 9544.2 11.6 2051.1 4.6 54.64 23844.9 -2240.8 11014.7 11.5 2055.6 4.5 54.65 25344.6 -2240.5 12445.3 11.5 2100.1 4.4 54.66 26844.3 -2240.2 13915.7 11.4 2104.4 4.3 54.67 28344.0 -2240.0 15346.2 11.4 2108.7 4.2 54.78 29843.7 -2239.7 16816.5 11.3 2112.8 4.1 54.79 31343.5 -2239.4 18246.8 11.3 2116.8 4.0 54.710 32843.2 -2239.1 19717.1 11.2 2120.8 3.9 54.711 34342.9 -2238.9 21147.3 11.2 2124.6 3.8 54.712 35842.6 -2238.6 22617.5 11.1 2128.4 3.7 54.713 1342.3 -2238.3 24047.6 11.1 2132.0 3.6 54.814 2842.1 -2238.0 25517.7 11.0 2135.6 3.5 54.815 4341.8 -2237.8 26947.7 11.0 2139.0 3.4 54.816 5841.5 -2237.5 28417.6 10.9 2142.4 3.3 54.817 7341.2 -2237.2 29847.6 10.9 2145.6 3.2 54.818 8840.9 -2236.9 31317.4 10.9 2148.8 3.1 54.819 10340.7 -2236.6 32747.3 10.8 2151.8 3.0 54.920 11840.4 -2236.4 34217.1 10.8 2154.7 2.9 54.921 13340.1 -2236.1 35646.8 10.7 2157.5 2.8 54.922 14839.8 -2235.8 1116.5 10.7 2200.3 2.7 54.923 16339.6 -2235.5 2546.1 10.6 2202.9 2.6 54.9

SD.=16.3 d=0.3 S.D.=14.9

Fri GHA Dec GHA Dec d HP0 17839.3 -2235.2 4015.7 10.6 2205.4 2.4 54.91 19339.0 -2234.9 5445.3 10.5 2207.8 2.3 55.02 20838.7 -2234.6 6914.8 10.5 2210.0 2.2 55.03 22338.4 -2234.4 8344.3 10.5 2212.2 2.1 55.04 23838.2 -2234.1 9813.7 10.4 2214.3 2.0 55.05 25337.9 -2233.8 11243.1 10.4 2216.3 1.9 55.06 26837.6 -2233.5 12712.4 10.3 2218.1 1.8 55.17 28337.3 -2233.2 14141.8 10.3 2219.8 1.7 55.18 29837.1 -2232.9 15611.0 10.2 2221.5 1.6 55.19 31336.8 -2232.6 17040.3 10.2 2223.0 1.5 55.110 32836.5 -2232.3 18509.4 10.2 2224.4 1.3 55.111 34336.2 -2232.0 19938.6 10.1 2225.7 1.2 55.212 35836.0 -2231.7 21407.7 10.1 2226.9 1.1 55.213 1335.7 -2231.5 22836.8 10.1 2227.9 1.0 55.214 2835.4 -2231.2 24305.9 10.0 2228.9 0.9 55.215 4335.1 -2230.9 25734.9 10.0 2229.7 0.8 55.216 5834.9 -2230.6 27203.8 10.0 2230.4 0.7 55.317 7334.6 -2230.3 28632.8 9.9 2231.0 0.6 55.318 8834.3 -2230.0 30101.7 9.9 2231.5 0.4 55.319 10334.0 -2229.7 31530.6 9.9 2231.9 0.3 55.320 11833.8 -2229.4 32959.4 9.8 2232.2 0.2 55.321 13333.5 -2229.1 34428.3 9.8 2232.3 0.1 55.422 14833.2 -2228.8 35857.1 9.8 2232.4 -0.0 55.423 16333.0 -2228.5 1325.8 9.8 2232.3 -0.1 55.4

SD.=16.3 d=0.3 S.D.=15.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:20 10:32 : : 13:39 15:5170 08:02 09:44 : : 14:27 16:0968 07:47 09:13 11:33 12:37 14:58 16:2366 07:35 08:50 10:21 13:50 15:21 16:3564 07:25 08:32 09:45 14:25 15:39 16:4662 07:16 08:17 09:20 14:51 15:54 16:5460 07:08 08:04 09:00 15:11 16:06 17:0258 07:01 07:53 08:44 15:27 16:17 17:0956 06:55 07:44 08:30 15:41 16:27 17:1654 06:49 07:35 08:18 15:53 16:36 17:2152 06:44 07:27 08:07 16:03 16:43 17:2750 06:39 07:20 07:58 16:13 16:50 17:3245 06:28 07:05 07:38 16:32 17:06 17:4340 06:18 06:52 07:22 16:48 17:19 17:5335 06:09 06:41 07:08 17:02 17:30 18:0130 06:01 06:30 06:57 17:14 17:40 18:1020 05:45 06:12 06:36 17:34 17:58 18:2510 05:29 05:56 06:18 17:52 18:15 18:410 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 03:23 20:46 21:45 :-58 : 01:57 03:08 21:02 22:12 :-60 : 01:17 02:49 21:21 22:50 :

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 : : : : : :70 09:12 : : 06:38 : :68 10:05 09:54 : 05:46 07:37 :66 10:38 10:48 11:13 05:14 06:43 08:0364 11:02 11:21 11:54 04:50 06:11 07:2262 11:21 11:45 12:22 04:32 05:47 06:5460 11:37 12:04 12:43 04:16 05:28 06:3258 11:50 12:20 13:01 04:03 05:12 06:1556 12:02 12:34 13:16 03:52 04:59 06:0054 12:12 12:46 13:29 03:42 04:47 05:4752 12:21 12:56 13:40 03:34 04:37 05:3650 12:29 13:05 13:50 03:26 04:28 05:2645 12:47 13:25 14:11 03:09 04:09 05:0540 13:01 13:41 14:28 02:56 03:53 04:4935 13:13 13:55 14:42 02:44 03:40 04:3430 13:24 14:07 14:55 02:34 03:28 04:2220 13:42 14:27 15:16 02:17 03:09 04:0110 13:58 14:45 15:35 02:02 02:52 03:430 14:13 15:01 15:52 01:48 02:36 03:25-10 14:28 15:18 16:09 01:34 02:20 03:08-20 14:44 15:36 16:28 01:20 02:03 02:50-30 15:02 15:56 16:49 01:03 01:44 02:29-35 15:13 16:08 17:02 00:53 01:32 02:17-40 15:26 16:22 17:16 00:42 01:19 02:03-45 15:41 16:39 17:34 00:28 01:04 01:46-50 15:59 16:59 17:55 00:12 00:45 01:25-52 16:07 17:09 18:05 00:05 00:36 01:15-54 16:17 17:20 18:17 : 00:26 01:04-56 16:28 17:32 18:30 : 00:15 00:51-58 16:40 17:47 18:45 : 00:02 00:37-60 16:55 18:04 19:03 23:47 : 00:20



5

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

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10558.7 14150.0 -1606.7 29238.4 615.8 7703.0 1033.8 25829.1 -842.21 12101.2 15649.5 -1605.7 30740.4 615.7 9205.4 1033.9 27331.5 -842.32 13603.6 17149.0 -1604.6 32242.4 615.6 10707.8 1033.9 28833.8 -842.33 15106.1 18648.4 -1603.6 33744.4 615.4 12210.2 1034.0 30336.1 -842.44 16608.6 20147.9 -1602.6 35246.4 615.3 13712.5 1034.0 31838.5 -842.45 18111.0 21647.4 -1601.6 748.4 615.2 15214.9 1034.1 33340.8 -842.46 19613.5 23146.8 -1600.5 2250.4 615.1 16717.3 1034.1 34843.1 -842.57 21116.0 24646.3 -1559.5 3752.5 615.0 18219.6 1034.2 345.5 -842.58 22618.4 26145.8 -1558.5 5254.5 614.8 19722.0 1034.2 1847.8 -842.59 24120.9 27645.3 -1557.5 6756.5 614.7 21224.4 1034.3 3350.1 -842.610 25623.4 29144.7 -1556.4 8258.5 614.6 22726.7 1034.3 4852.5 -842.611 27125.8 30644.2 -1555.4 9800.5 614.5 24229.1 1034.4 6354.8 -842.712 28628.3 32143.7 -1554.4 11302.5 614.4 25731.5 1034.4 7857.1 -842.713 30130.7 33643.2 -1553.3 12804.5 614.3 27233.8 1034.5 9359.5 -842.714 31633.2 35142.6 -1552.3 14306.5 614.2 28736.2 1034.5 10901.8 -842.815 33135.7 642.1 -1551.3 15808.5 614.0 30238.6 1034.6 12404.1 -842.816 34638.1 2141.6 -1550.2 17310.6 613.9 31740.9 1034.6 13906.5 -842.817 140.6 3641.1 -1549.2 18812.6 613.8 33243.3 1034.7 15408.8 -842.918 1643.1 5140.5 -1548.2 20314.6 613.7 34745.6 1034.7 16911.2 -842.919 3145.5 6640.0 -1547.1 21816.6 613.6 248.0 1034.8 18413.5 -842.920 4648.0 8139.5 -1546.1 23318.6 613.5 1750.4 1034.8 19915.8 -843.021 6150.5 9639.0 -1545.1 24820.6 613.4 3252.7 1034.9 21418.2 -843.022 7652.9 11138.5 -1544.0 26322.7 613.2 4755.1 1034.9 22920.5 -843.123 9155.4 12637.9 -1543.0 27824.7 613.1 6257.5 1035.0 24422.8 -843.1Mer.pass.:16:53 v-0.5 d1.0 m-3.9 v2.0 d-0.1 m0.1 v2.4 d0.0 m-2.4 v2.3 d-0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10657.8 14137.4 -1541.9 29326.7 613.0 7759.8 1035.0 25925.2 -843.11 12200.3 15636.9 -1540.9 30828.7 612.9 9302.2 1035.1 27427.5 -843.22 13702.8 17136.4 -1539.9 32330.8 612.8 10804.5 1035.1 28929.8 -843.23 15205.2 18635.9 -1538.8 33832.8 612.7 12306.9 1035.2 30432.2 -843.24 16707.7 20135.4 -1537.8 35334.8 612.6 13809.3 1035.2 31934.5 -843.35 18210.2 21634.9 -1536.7 836.8 612.5 15311.6 1035.3 33436.9 -843.36 19712.6 23134.3 -1535.7 2338.9 612.4 16814.0 1035.3 34939.2 -843.37 21215.1 24633.8 -1534.6 3840.9 612.2 18316.3 1035.4 441.5 -843.48 22717.6 26133.3 -1533.6 5342.9 612.1 19818.7 1035.4 1943.9 -843.49 24220.0 27632.8 -1532.6 6845.0 612.0 21321.1 1035.5 3446.2 -843.510 25722.5 29132.3 -1531.5 8347.0 611.9 22823.4 1035.5 4948.5 -843.511 27225.0 30631.8 -1530.5 9849.0 611.8 24325.8 1035.6 6450.9 -843.512 28727.4 32131.3 -1529.4 11351.1 611.7 25828.1 1035.7 7953.2 -843.613 30229.9 33630.8 -1528.4 12853.1 611.6 27330.5 1035.7 9455.6 -843.614 31732.3 35130.2 -1527.3 14355.1 611.5 28832.8 1035.8 10957.9 -843.615 33234.8 629.7 -1526.3 15857.2 611.4 30335.2 1035.8 12500.2 -843.716 34737.3 2129.2 -1525.2 17359.2 611.3 31837.6 1035.9 14002.6 -843.717 239.7 3628.7 -1524.2 18901.2 611.2 33339.9 1035.9 15504.9 -843.718 1742.2 5128.2 -1523.1 20403.3 611.1 34842.3 1036.0 17007.3 -843.819 3244.7 6627.7 -1522.1 21905.3 611.0 344.6 1036.0 18509.6 -843.820 4747.1 8127.2 -1521.0 23407.4 610.9 1847.0 1036.1 20011.9 -843.821 6249.6 9626.7 -1519.9 24909.4 610.8 3349.3 1036.1 21514.3 -843.922 7752.1 11126.2 -1518.9 26411.4 610.7 4851.7 1036.2 23016.6 -843.923 9254.5 12625.7 -1517.8 27913.5 610.6 6354.0 1036.2 24519.0 -844.0Mer.pass.:16:49 v-0.5 d1.0 m-3.9 v2.0 d-0.1 m0.1 v2.4 d0.1 m-2.4 v2.3 d-0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10757.0 14125.2 -1516.8 29415.5 610.5 7856.4 1036.3 26021.3 -844.01 12259.5 15624.7 -1515.7 30917.6 610.4 9358.8 1036.3 27523.6 -844.02 13801.9 17124.2 -1514.7 32419.6 610.3 10901.1 1036.4 29026.0 -844.13 15304.4 18623.7 -1513.6 33921.7 610.2 12403.5 1036.5 30528.3 -844.14 16806.8 20123.2 -1512.5 35423.7 610.1 13905.8 1036.5 32030.7 -844.15 18309.3 21622.7 -1511.5 925.8 610.0 15408.2 1036.6 33533.0 -844.26 19811.8 23122.2 -1510.4 2427.8 609.9 16910.5 1036.6 35035.3 -844.27 21314.2 24621.7 -1509.4 3929.9 609.8 18412.9 1036.7 537.7 -844.28 22816.7 26121.2 -1508.3 5431.9 609.7 19915.2 1036.7 2040.0 -844.39 24319.2 27620.7 -1507.2 6934.0 609.6 21417.6 1036.8 3542.4 -844.310 25821.6 29120.2 -1506.2 8436.0 609.5 22919.9 1036.8 5044.7 -844.311 27324.1 30619.7 -1505.1 9938.1 609.4 24422.3 1036.9 6547.1 -844.412 28826.6 32119.2 -1504.1 11440.1 609.3 25924.6 1036.9 8049.4 -844.413 30329.0 33618.7 -1503.0 12942.2 609.2 27427.0 1037.0 9551.7 -844.414 31831.5 35118.2 -1501.9 14444.3 609.1 28929.3 1037.1 11054.1 -844.515 33334.0 617.7 -1500.9 15946.3 609.0 30431.7 1037.1 12556.4 -844.516 34836.4 2117.2 -1459.8 17448.4 608.9 31934.0 1037.2 14058.8 -844.517 338.9 3616.7 -1458.7 18950.4 608.8 33436.4 1037.2 15601.1 -844.618 1841.3 5116.2 -1457.7 20452.5 608.7 34938.7 1037.3 17103.5 -844.619 3343.8 6615.8 -1456.6 21954.6 608.6 441.1 1037.3 18605.8 -844.620 4846.3 8115.3 -1455.5 23456.6 608.5 1943.4 1037.4 20108.1 -844.721 6348.7 9614.8 -1454.4 24958.7 608.4 3445.8 1037.5 21610.5 -844.722 7851.2 11114.3 -1453.4 26500.8 608.3 4948.1 1037.5 23112.8 -844.723 9353.7 12613.8 -1452.3 28002.8 608.2 6450.4 1037.6 24615.2 -844.8Mer.pass.:16:45 v-0.5 d1.1 m-3.9 v2.0 d-0.1 m0.0 v2.4 d0.1 m-2.4 v2.3 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.6 2909.7Ankaa 35316.7 -4214.6

Schedar 34941.7 5636.6Diphda 34856.8 -1755.3


Aldebaran 29050.2 1632.0Rigel 28112.7 -811.4



Sirius 25834.1 -1643.9Adara 25512.9 -2859.5








Atria 10731.0 -6902.7Sabik 10214.0 -1544.3


Etamin 9047.1 5129.2Kaus Aust. 8345.5 -3422.6


Peacock 5321.3 -5641.7Deneb 4932.6 4519.6

Enif 3348.4 956.0Alnair 2745.3 -4654.2



Jupiter 33104.3 18:49Saturn 15230.4 06:45


Jupiter 33102.0 18:45Saturn 15227.3 06:41


Jupiter 33059.4 18:41Saturn 15224.3 06:38


6


h Sun MoonSat GHA Dec GHA Dec d HP0 17832.7 -2228.2 2754.6 9.7 2232.1 -0.3 55.41 19332.4 -2227.9 4223.3 9.7 2231.8 -0.4 55.42 20832.1 -2227.6 5652.0 9.7 2231.3 -0.5 55.53 22331.9 -2227.2 7120.6 9.7 2230.8 -0.6 55.54 23831.6 -2226.9 8549.3 9.6 2230.1 -0.7 55.55 25331.3 -2226.6 10017.9 9.6 2229.3 -0.9 55.56 26831.0 -2226.3 11446.5 9.6 2228.4 -1.0 55.67 28330.8 -2226.0 12915.0 9.6 2227.4 -1.1 55.68 29830.5 -2225.7 14343.6 9.5 2226.2 -1.2 55.69 31330.2 -2225.4 15812.1 9.5 2224.9 -1.3 55.610 32830.0 -2225.1 17240.6 9.5 2223.6 -1.4 55.611 34329.7 -2224.8 18709.1 9.5 2222.1 -1.6 55.712 35829.4 -2224.5 20137.6 9.5 2220.4 -1.7 55.713 1329.1 -2224.2 21606.1 9.5 2218.7 -1.8 55.714 2828.9 -2223.8 23034.5 9.4 2216.8 -1.9 55.715 4328.6 -2223.5 24503.0 9.4 2214.9 -2.0 55.816 5828.3 -2223.2 25931.4 9.4 2212.8 -2.2 55.817 7328.1 -2222.9 27359.8 9.4 2210.5 -2.3 55.818 8827.8 -2222.6 28828.2 9.4 2208.2 -2.4 55.819 10327.5 -2222.3 30256.6 9.4 2205.7 -2.5 55.820 11827.3 -2221.9 31725.0 9.4 2203.2 -2.6 55.921 13327.0 -2221.6 33153.3 9.4 2200.5 -2.8 55.922 14826.7 -2221.3 34621.7 9.4 2157.6 -2.9 55.923 16326.5 -2221.0 050.1 9.4 2154.7 -3.0 55.9

SD.=16.3 d=0.3 S.D.=15.1

Sun GHA Dec GHA Dec d HP0 17826.2 -2220.7 1518.4 9.3 2151.6 -3.1 56.01 19325.9 -2220.3 2946.8 9.3 2148.5 -3.2 56.02 20825.7 -2220.0 4415.1 9.3 2145.2 -3.4 56.03 22325.4 -2219.7 5843.4 9.3 2141.7 -3.5 56.04 23825.1 -2219.4 7311.8 9.3 2138.2 -3.6 56.15 25324.9 -2219.0 8740.1 9.3 2134.6 -3.7 56.16 26824.6 -2218.7 10208.4 9.3 2130.8 -3.8 56.17 28324.3 -2218.4 11636.8 9.3 2126.9 -4.0 56.18 29824.1 -2218.1 13105.1 9.3 2122.9 -4.1 56.29 31323.8 -2217.7 14533.4 9.3 2118.8 -4.2 56.210 32823.5 -2217.4 16001.8 9.3 2114.5 -4.3 56.211 34323.3 -2217.1 17430.1 9.3 2110.1 -4.4 56.212 35823.0 -2216.7 18858.5 9.4 2105.7 -4.5 56.213 1322.7 -2216.4 20326.8 9.4 2101.1 -4.7 56.314 2822.5 -2216.1 21755.2 9.4 2056.3 -4.8 56.315 4322.2 -2215.7 23223.6 9.4 2051.5 -4.9 56.316 5821.9 -2215.4 24651.9 9.4 2046.6 -5.0 56.317 7321.7 -2215.1 26120.3 9.4 2041.5 -5.1 56.418 8821.4 -2214.7 27548.7 9.4 2036.3 -5.2 56.419 10321.1 -2214.4 29017.1 9.4 2031.0 -5.4 56.420 11820.9 -2214.1 30445.5 9.4 2025.6 -5.5 56.421 13320.6 -2213.7 31914.0 9.4 2020.1 -5.6 56.522 14820.4 -2213.4 33342.4 9.4 2014.4 -5.7 56.523 16320.1 -2213.1 34810.8 9.5 2008.7 -5.8 56.5

SD.=16.3 d=0.3 S.D.=15.3

Mon GHA Dec GHA Dec d HP0 17819.8 -2212.7 239.3 9.5 2002.8 -5.9 56.51 19319.6 -2212.4 1707.8 9.5 1956.8 -6.0 56.52 20819.3 -2212.0 3136.3 9.5 1950.7 -6.1 56.63 22319.0 -2211.7 4604.8 9.5 1944.5 -6.3 56.64 23818.8 -2211.3 6033.3 9.5 1938.2 -6.4 56.65 25318.5 -2211.0 7501.9 9.6 1931.8 -6.5 56.66 26818.3 -2210.7 8930.4 9.6 1925.3 -6.6 56.77 28318.0 -2210.3 10359.0 9.6 1918.6 -6.7 56.78 29817.7 -2210.0 11827.6 9.6 1911.9 -6.8 56.79 31317.5 -2209.6 13256.2 9.6 1905.0 -6.9 56.710 32817.2 -2209.3 14724.9 9.6 1858.0 -7.0 56.811 34317.0 -2208.9 16153.5 9.7 1850.9 -7.1 56.812 35816.7 -2208.6 17622.2 9.7 1843.8 -7.2 56.813 1316.4 -2208.2 19050.9 9.7 1836.5 -7.3 56.814 2816.2 -2207.9 20519.6 9.7 1829.1 -7.5 56.815 4315.9 -2207.5 21948.3 9.8 1821.5 -7.6 56.916 5815.7 -2207.2 23417.1 9.8 1813.9 -7.7 56.917 7315.4 -2206.8 24845.9 9.8 1806.2 -7.8 56.918 8815.1 -2206.5 26314.7 9.8 1758.4 -7.9 56.919 10314.9 -2206.1 27743.5 9.8 1750.5 -8.0 57.020 11814.6 -2205.8 29212.4 9.9 1742.5 -8.1 57.021 13314.4 -2205.4 30641.3 9.9 1734.3 -8.2 57.022 14814.1 -2205.1 32110.2 9.9 1726.1 -8.3 57.023 16313.9 -2204.7 33539.1 9.9 1717.8 -8.4 57.0

SD.=16.3 d=0.3 S.D.=15.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:16 10:21 : : 13:53 15:5870 07:59 09:38 : : 14:36 16:1568 07:45 09:08 11:12 13:01 15:05 16:2966 07:33 08:47 10:14 13:59 15:27 16:4064 07:23 08:29 09:41 14:33 15:44 16:5062 07:15 08:15 09:17 14:57 15:59 16:5960 07:07 08:02 08:57 15:16 16:11 17:0658 07:00 07:52 08:42 15:32 16:22 17:1356 06:54 07:42 08:28 15:45 16:31 17:1954 06:48 07:34 08:17 15:57 16:39 17:2552 06:43 07:26 08:06 16:07 16:47 17:3050 06:38 07:19 07:57 16:16 16:54 17:3545 06:28 07:04 07:38 16:35 17:09 17:4640 06:18 06:52 07:22 16:51 17:21 17:5535 06:09 06:41 07:09 17:05 17:32 18:0430 06:01 06:31 06:57 17:16 17:42 18:1220 05:46 06:13 06:37 17:36 17:60 18:2710 05:31 05:57 06:19 17:54 18:16 18:420 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 21:23 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 MoonsetLat. Sat Sun Mon Sat Sun Mon72 : : : : : :70 : : 13:55 : : 10:4868 : 12:41 14:41 : 10:12 10:0166 12:07 13:32 15:11 08:56 09:20 09:3064 12:48 14:04 15:33 08:15 08:48 09:0762 13:16 14:27 15:51 07:47 08:24 08:4960 13:37 14:46 16:05 07:25 08:05 08:3458 13:55 15:01 16:18 07:08 07:49 08:2156 14:09 15:15 16:28 06:53 07:36 08:1054 14:22 15:26 16:38 06:40 07:24 07:6052 14:33 15:36 16:46 06:29 07:14 07:5150 14:43 15:45 16:54 06:19 07:05 07:4345 15:04 16:04 17:10 05:58 06:45 07:2640 15:21 16:20 17:23 05:41 06:29 07:1235 15:35 16:33 17:34 05:27 06:15 07:0030 15:47 16:44 17:44 05:14 06:04 06:5020 16:09 17:04 18:00 04:53 05:43 06:3210 16:27 17:21 18:15 04:34 05:26 06:160 16:44 17:36 18:29 04:17 05:09 06:02-10 17:01 17:52 18:42 03:59 04:53 05:47-20 17:19 18:09 18:56 03:41 04:35 05:31-30 17:40 18:28 19:13 03:19 04:14 05:13-35 17:53 18:40 19:22 03:07 04:02 05:02-40 18:07 18:53 19:33 02:52 03:48 04:49-45 18:24 19:08 19:46 02:35 03:32 04:35-50 18:44 19:26 20:02 02:14 03:12 04:17-52 18:54 19:35 20:09 02:04 03:02 04:09-54 19:05 19:45 20:17 01:52 02:51 03:59-56 19:18 19:56 20:26 01:39 02:39 03:48-58 19:32 20:09 20:36 01:24 02:24 03:36-60 19:50 20:23 20:47 01:06 02:07 03:22



7

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

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10856.1 14113.3 -1451.2 29504.9 608.2 7952.8 1037.6 26117.5 -844.81 12358.6 15612.8 -1450.2 31007.0 608.1 9455.1 1037.7 27619.9 -844.82 13901.1 17112.3 -1449.1 32509.0 608.0 10957.5 1037.7 29122.2 -844.93 15403.5 18611.8 -1448.0 34011.1 607.9 12459.8 1037.8 30624.6 -844.94 16906.0 20111.4 -1446.9 35513.2 607.8 14002.2 1037.8 32126.9 -844.95 18408.5 21610.9 -1445.9 1015.2 607.7 15504.5 1037.9 33629.2 -845.06 19910.9 23110.4 -1444.8 2517.3 607.6 17006.9 1038.0 35131.6 -845.07 21413.4 24609.9 -1443.7 4019.4 607.5 18509.2 1038.0 633.9 -845.08 22915.8 26109.4 -1442.6 5521.5 607.4 20011.5 1038.1 2136.3 -845.19 24418.3 27608.9 -1441.5 7023.5 607.3 21513.9 1038.1 3638.6 -845.110 25920.8 29108.5 -1440.5 8525.6 607.3 23016.2 1038.2 5141.0 -845.111 27423.2 30608.0 -1439.4 10027.7 607.2 24518.6 1038.3 6643.3 -845.212 28925.7 32107.5 -1438.3 11529.8 607.1 26020.9 1038.3 8145.7 -845.213 30428.2 33607.0 -1437.2 13031.8 607.0 27523.3 1038.4 9648.0 -845.214 31930.6 35106.5 -1436.1 14533.9 606.9 29025.6 1038.4 11150.4 -845.315 33433.1 606.1 -1435.1 16036.0 606.8 30527.9 1038.5 12652.7 -845.316 34935.6 2105.6 -1434.0 17538.1 606.7 32030.3 1038.5 14155.0 -845.317 438.0 3605.1 -1432.9 19040.2 606.7 33532.6 1038.6 15657.4 -845.418 1940.5 5104.6 -1431.8 20542.3 606.6 35035.0 1038.7 17159.7 -845.419 3442.9 6604.1 -1430.7 22044.3 606.5 537.3 1038.7 18702.1 -845.420 4945.4 8103.7 -1429.6 23546.4 606.4 2039.6 1038.8 20204.4 -845.521 6447.9 9603.2 -1428.6 25048.5 606.3 3542.0 1038.8 21706.8 -845.522 7950.3 11102.7 -1427.5 26550.6 606.2 5044.3 1038.9 23209.1 -845.523 9452.8 12602.2 -1426.4 28052.7 606.2 6546.7 1039.0 24711.5 -845.6Mer.pass.:16:41 v-0.5 d1.1 m-3.9 v2.1 d-0.1 m0.0 v2.3 d0.1 m-2.4 v2.3 d-0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10955.3 14101.8 -1425.3 29554.8 606.1 8049.0 1039.0 26213.8 -845.61 12457.7 15601.3 -1424.2 31056.9 606.0 9551.3 1039.1 27716.2 -845.62 14000.2 17100.8 -1423.1 32559.0 605.9 11053.7 1039.1 29218.5 -845.73 15502.7 18600.4 -1422.0 34101.1 605.8 12556.0 1039.2 30720.9 -845.74 17005.1 20059.9 -1420.9 35603.2 605.8 14058.3 1039.3 32223.2 -845.75 18507.6 21559.4 -1419.8 1105.3 605.7 15600.7 1039.3 33725.6 -845.86 20010.1 23058.9 -1418.7 2607.4 605.6 17103.0 1039.4 35227.9 -845.87 21512.5 24558.5 -1417.7 4109.4 605.5 18605.4 1039.4 730.3 -845.88 23015.0 26058.0 -1416.6 5611.5 605.4 20107.7 1039.5 2232.6 -845.89 24517.4 27557.5 -1415.5 7113.6 605.4 21610.0 1039.6 3735.0 -845.910 26019.9 29057.1 -1414.4 8615.7 605.3 23112.4 1039.6 5237.3 -845.911 27522.4 30556.6 -1413.3 10117.8 605.2 24614.7 1039.7 6739.7 -845.912 29024.8 32056.1 -1412.2 11619.9 605.1 26117.0 1039.7 8242.0 -846.013 30527.3 33555.7 -1411.1 13122.1 605.1 27619.4 1039.8 9744.4 -846.014 32029.8 35055.2 -1410.0 14624.2 605.0 29121.7 1039.9 11246.7 -846.015 33532.2 554.7 -1408.9 16126.3 604.9 30624.0 1039.9 12749.1 -846.116 35034.7 2054.3 -1407.8 17628.4 604.8 32126.4 1040.0 14251.4 -846.117 537.2 3553.8 -1406.7 19130.5 604.8 33628.7 1040.0 15753.8 -846.118 2039.6 5053.3 -1405.6 20632.6 604.7 35131.0 1040.1 17256.1 -846.219 3542.1 6552.9 -1404.5 22134.7 604.6 633.4 1040.2 18758.5 -846.220 5044.6 8052.4 -1403.4 23636.8 604.5 2135.7 1040.2 20300.8 -846.221 6547.0 9552.0 -1402.3 25138.9 604.5 3638.0 1040.3 21803.2 -846.322 8049.5 11051.5 -1401.2 26641.0 604.4 5140.4 1040.4 23305.5 -846.323 9551.9 12551.0 -1400.1 28143.1 604.3 6642.7 1040.4 24807.9 -846.3Mer.pass.:16:37 v-0.5 d1.1 m-3.9 v2.1 d-0.1 m0.0 v2.3 d0.1 m-2.4 v2.3 d-0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11054.4 14050.6 -1359.0 29645.3 604.3 8145.0 1040.5 26310.2 -846.31 12556.9 15550.1 -1357.9 31147.4 604.2 9647.3 1040.5 27812.6 -846.42 14059.3 17049.7 -1356.8 32649.5 604.1 11149.7 1040.6 29314.9 -846.43 15601.8 18549.2 -1355.7 34151.6 604.0 12652.0 1040.7 30817.3 -846.44 17104.3 20048.8 -1354.6 35653.7 604.0 14154.3 1040.7 32319.6 -846.55 18606.7 21548.3 -1353.5 1155.8 603.9 15656.7 1040.8 33822.0 -846.56 20109.2 23047.8 -1352.4 2658.0 603.8 17159.0 1040.9 35324.3 -846.57 21611.7 24547.4 -1351.2 4200.1 603.8 18701.3 1040.9 826.7 -846.68 23114.1 26046.9 -1350.1 5702.2 603.7 20203.6 1041.0 2329.0 -846.69 24616.6 27546.5 -1349.0 7204.3 603.6 21706.0 1041.0 3831.4 -846.610 26119.0 29046.0 -1347.9 8706.4 603.6 23208.3 1041.1 5333.7 -846.611 27621.5 30545.6 -1346.8 10208.6 603.5 24710.6 1041.2 6836.1 -846.712 29124.0 32045.1 -1345.7 11710.7 603.4 26213.0 1041.2 8338.5 -846.713 30626.4 33544.7 -1344.6 13212.8 603.4 27715.3 1041.3 9840.8 -846.714 32128.9 35044.2 -1343.5 14715.0 603.3 29217.6 1041.4 11343.2 -846.815 33631.4 543.8 -1342.4 16217.1 603.2 30719.9 1041.4 12845.5 -846.816 35133.8 2043.3 -1341.2 17719.2 603.2 32222.3 1041.5 14347.9 -846.817 636.3 3542.9 -1340.1 19221.3 603.1 33724.6 1041.5 15850.2 -846.918 2138.8 5042.4 -1339.0 20723.5 603.0 35226.9 1041.6 17352.6 -846.919 3641.2 6542.0 -1337.9 22225.6 603.0 729.2 1041.7 18854.9 -846.920 5143.7 8041.5 -1336.8 23727.7 602.9 2231.6 1041.7 20357.3 -846.921 6646.2 9541.1 -1335.7 25229.9 602.9 3733.9 1041.8 21859.6 -847.022 8148.6 11040.6 -1334.6 26732.0 602.8 5236.2 1041.9 23402.0 -847.023 9651.1 12540.2 -1333.4 28234.1 602.7 6738.5 1041.9 24904.4 -847.0Mer.pass.:16:33 v-0.5 d1.1 m-3.9 v2.1 d-0.1 m-0.0 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.6 2909.7Ankaa 35316.7 -4214.6

Schedar 34941.8 5636.6Diphda 34856.8 -1755.3


Aldebaran 29050.2 1632.0Rigel 28112.7 -811.4



Sirius 25834.1 -1643.9Adara 25512.9 -2859.5








Atria 10730.9 -6902.7Sabik 10214.0 -1544.3


Etamin 9047.1 5129.2Kaus Aust. 8345.5 -3422.6


Peacock 5321.3 -5641.7Deneb 4932.6 4519.6

Enif 3348.4 956.0Alnair 2745.3 -4654.2



Jupiter 33056.7 18:38Saturn 15221.4 06:34


Jupiter 33053.7 18:34Saturn 15218.6 06:30


Jupiter 33050.6 18:30Saturn 15215.8 06:26


8


h Sun MoonTue GHA Dec GHA Dec d HP0 17813.6 -2204.3 35008.1 10.0 1709.4 -8.5 57.11 19313.3 -2204.0 437.1 10.0 1700.9 -8.6 57.12 20813.1 -2203.6 1906.1 10.0 1652.2 -8.7 57.13 22312.8 -2203.3 3335.1 10.0 1643.5 -8.8 57.14 23812.6 -2202.9 4804.2 10.1 1634.7 -8.9 57.25 25312.3 -2202.5 6233.3 10.1 1625.8 -9.0 57.26 26812.1 -2202.2 7702.4 10.1 1616.8 -9.0 57.27 28311.8 -2201.8 9131.5 10.2 1607.7 -9.1 57.28 29811.6 -2201.4 10600.7 10.2 1558.5 -9.2 57.29 31311.3 -2201.1 12029.9 10.2 1549.3 -9.3 57.310 32811.0 -2200.7 13459.1 10.2 1539.9 -9.4 57.311 34310.8 -2200.4 14928.4 10.3 1530.4 -9.5 57.312 35810.5 -2160.0 16357.7 10.3 1520.9 -9.6 57.313 1310.3 -2159.6 17827.0 10.3 1511.3 -9.7 57.414 2810.0 -2159.2 19256.3 10.3 1501.5 -9.8 57.415 4309.8 -2158.9 20725.7 10.4 1451.7 -9.8 57.416 5809.5 -2158.5 22155.1 10.4 1441.8 -9.9 57.417 7309.3 -2158.1 23624.5 10.4 1431.9 -10.0 57.418 8809.0 -2157.8 25053.9 10.5 1421.8 -10.1 57.519 10308.8 -2157.4 26523.4 10.5 1411.7 -10.2 57.520 11808.5 -2157.0 27952.9 10.5 1401.4 -10.3 57.521 13308.3 -2156.7 29422.4 10.5 1351.1 -10.3 57.522 14808.0 -2156.3 30852.0 10.6 1340.8 -10.4 57.523 16307.8 -2155.9 32321.6 10.6 1330.3 -10.5 57.6

SD.=16.3 d=0.4 S.D.=15.6

Wed GHA Dec GHA Dec d HP0 17807.5 -2155.5 33751.2 10.6 1319.8 -10.6 57.61 19307.3 -2155.1 35220.8 10.6 1309.1 -10.7 57.62 20807.0 -2154.8 650.5 10.7 1258.4 -10.7 57.63 22306.8 -2154.4 2120.2 10.7 1247.7 -10.8 57.64 23806.5 -2154.0 3549.9 10.7 1236.8 -10.9 57.75 25306.3 -2153.6 5019.6 10.8 1225.9 -11.0 57.76 26806.0 -2153.3 6449.4 10.8 1214.9 -11.0 57.77 28305.8 -2152.9 7919.2 10.8 1203.9 -11.1 57.78 29805.5 -2152.5 9349.0 10.8 1152.7 -11.2 57.79 31305.3 -2152.1 10818.8 10.9 1141.5 -11.2 57.810 32805.0 -2151.7 12248.7 10.9 1130.3 -11.3 57.811 34304.8 -2151.3 13718.6 10.9 1118.9 -11.4 57.812 35804.5 -2151.0 15148.5 10.9 1107.5 -11.4 57.813 1304.3 -2150.6 16618.4 11.0 1056.1 -11.5 57.814 2804.0 -2150.2 18048.4 11.0 1044.6 -11.6 57.815 4303.8 -2149.8 19518.4 11.0 1033.0 -11.6 57.916 5803.5 -2149.4 20948.4 11.0 1021.3 -11.7 57.917 7303.3 -2149.0 22418.4 11.0 1009.6 -11.7 57.918 8803.0 -2148.6 23848.5 11.1 957.8 -11.8 57.919 10302.8 -2148.2 25318.5 11.1 946.0 -11.9 57.920 11802.5 -2147.9 26748.6 11.1 934.1 -11.9 58.021 13302.3 -2147.5 28218.7 11.1 922.2 -12.0 58.022 14802.0 -2147.1 29648.9 11.1 910.2 -12.0 58.023 16301.8 -2146.7 31119.0 11.2 858.1 -12.1 58.0

SD.=16.3 d=0.4 S.D.=15.7

Thu GHA Dec GHA Dec d HP0 17801.6 -2146.3 32549.2 11.2 846.0 -12.1 58.01 19301.3 -2145.9 34019.4 11.2 833.9 -12.2 58.02 20801.1 -2145.5 35449.6 11.2 821.7 -12.2 58.13 22300.8 -2145.1 919.8 11.2 809.4 -12.3 58.14 23800.6 -2144.7 2350.1 11.2 757.1 -12.3 58.15 25300.3 -2144.3 3820.3 11.3 744.8 -12.4 58.16 26800.1 -2143.9 5250.6 11.3 732.4 -12.4 58.17 28259.9 -2143.5 6720.9 11.3 719.9 -12.5 58.18 29759.6 -2143.1 8151.2 11.3 707.4 -12.5 58.29 31259.4 -2142.7 9621.5 11.3 654.9 -12.6 58.210 32759.1 -2142.3 11051.8 11.3 642.3 -12.6 58.211 34258.9 -2141.9 12522.2 11.3 629.7 -12.6 58.212 35758.6 -2141.5 13952.5 11.4 617.1 -12.7 58.213 1258.4 -2141.1 15422.9 11.4 604.4 -12.7 58.214 2758.2 -2140.7 16853.2 11.4 551.6 -12.7 58.315 4257.9 -2140.3 18323.6 11.4 538.9 -12.8 58.316 5757.7 -2139.9 19754.0 11.4 526.1 -12.8 58.317 7257.4 -2139.5 21224.4 11.4 513.3 -12.8 58.318 8757.2 -2139.1 22654.8 11.4 500.4 -12.9 58.319 10256.9 -2138.7 24125.2 11.4 447.5 -12.9 58.320 11756.7 -2138.3 25555.7 11.4 434.6 -12.9 58.321 13256.5 -2137.9 27026.1 11.4 421.6 -13.0 58.422 14756.2 -2137.4 28456.5 11.4 408.6 -13.0 58.423 16256.0 -2137.0 29927.0 11.4 355.6 -13.0 58.4

SD.=16.3 d=0.4 S.D.=15.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:10 10:10 : : 14:06 16:0670 07:54 09:30 : : 14:46 16:2268 07:41 09:03 10:56 13:20 15:13 16:3566 07:30 08:42 10:06 14:10 15:34 16:4664 07:20 08:26 09:35 14:41 15:50 16:5662 07:12 08:12 09:12 15:04 16:04 17:0460 07:05 07:60 08:54 15:22 16:16 17:1158 06:58 07:50 08:39 15:37 16:26 17:1756 06:53 07:40 08:26 15:50 16:35 17:2354 06:47 07:32 08:15 16:01 16:43 17:2952 06:42 07:25 08:05 16:11 16:51 17:3450 06:38 07:18 07:56 16:20 16:57 17:3845 06:27 07:04 07:37 16:39 17:12 17:4940 06:18 06:51 07:21 16:54 17:24 17:5835 06:09 06:41 07:08 17:07 17:35 18:0630 06:01 06:31 06:57 17:19 17:45 18:1420 05:46 06:14 06:37 17:38 18:02 18:2910 05:32 05:58 06:20 17:55 18:18 18:440 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 00:24 02:36 03:33 20:41 21:38 23:40-58 : 02:12 03:18 20:56 22:02 :-60 : 01:39 03:01 21:13 22:34 :

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 15:38 17:56 20:01 10:54 10:21 09:6070 16:11 18:12 20:08 10:19 10:03 09:5068 16:35 18:25 20:13 09:54 09:48 09:4366 16:53 18:36 20:17 09:35 09:36 09:3664 17:08 18:44 20:21 09:19 09:26 09:3162 17:20 18:52 20:24 09:06 09:17 09:2660 17:31 18:58 20:27 08:54 09:10 09:2258 17:40 19:04 20:30 08:45 09:03 09:1856 17:48 19:09 20:32 08:36 08:57 09:1554 17:55 19:14 20:34 08:28 08:52 09:1252 18:01 19:18 20:36 08:21 08:47 09:1050 18:07 19:21 20:37 08:15 08:43 09:0745 18:19 19:29 20:41 08:02 08:33 09:0240 18:29 19:36 20:44 07:51 08:25 08:5735 18:37 19:42 20:46 07:41 08:18 08:5330 18:45 19:46 20:48 07:33 08:12 08:5020 18:58 19:55 20:52 07:18 08:02 08:4410 19:09 20:03 20:56 07:05 07:52 08:380 19:20 20:10 20:59 06:53 07:44 08:33-10 19:30 20:17 21:02 06:41 07:35 08:28-20 19:41 20:24 21:05 06:28 07:25 08:22-30 19:54 20:33 21:09 06:13 07:14 08:16-35 20:01 20:37 21:11 06:04 07:08 08:12-40 20:10 20:43 21:14 05:54 07:01 08:08-45 20:20 20:49 21:17 05:42 06:52 08:03-50 20:31 20:57 21:20 05:28 06:42 07:57-52 20:37 21:00 21:22 05:21 06:37 07:55-54 20:43 21:04 21:24 05:14 06:32 07:52-56 20:49 21:08 21:26 05:05 06:26 07:48-58 20:57 21:13 21:28 04:56 06:19 07:45-60 21:05 21:18 21:30 04:45 06:12 07:40



9

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

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11153.5 14039.7 -1332.3 29736.3 602.7 8240.8 1042.0 26406.7 -847.11 12656.0 15539.3 -1331.2 31238.4 602.6 9743.2 1042.1 27909.1 -847.12 14158.5 17038.8 -1330.1 32740.6 602.6 11245.5 1042.1 29411.4 -847.13 15700.9 18538.4 -1329.0 34242.7 602.5 12747.8 1042.2 30913.8 -847.14 17203.4 20038.0 -1327.8 35744.8 602.4 14250.1 1042.3 32416.1 -847.25 18705.9 21537.5 -1326.7 1247.0 602.4 15752.5 1042.3 33918.5 -847.26 20208.3 23037.1 -1325.6 2749.1 602.3 17254.8 1042.4 35420.8 -847.27 21710.8 24536.6 -1324.5 4251.3 602.3 18757.1 1042.5 923.2 -847.38 23213.3 26036.2 -1323.4 5753.4 602.2 20259.4 1042.5 2425.6 -847.39 24715.7 27535.7 -1322.2 7255.6 602.2 21801.7 1042.6 3927.9 -847.310 26218.2 29035.3 -1321.1 8757.7 602.1 23304.1 1042.7 5430.3 -847.311 27720.7 30534.9 -1320.0 10259.9 602.0 24806.4 1042.7 6932.6 -847.412 29223.1 32034.4 -1318.9 11802.0 602.0 26308.7 1042.8 8435.0 -847.413 30725.6 33534.0 -1317.7 13304.2 601.9 27811.0 1042.9 9937.3 -847.414 32228.0 35033.6 -1316.6 14806.3 601.9 29313.3 1042.9 11439.7 -847.515 33730.5 533.1 -1315.5 16308.5 601.8 30815.7 1043.0 12942.1 -847.516 35233.0 2032.7 -1314.4 17810.6 601.8 32318.0 1043.1 14444.4 -847.517 735.4 3532.2 -1313.2 19312.8 601.7 33820.3 1043.1 15946.8 -847.518 2237.9 5031.8 -1312.1 20814.9 601.7 35322.6 1043.2 17449.1 -847.619 3740.4 6531.4 -1311.0 22317.1 601.6 824.9 1043.3 18951.5 -847.620 5242.8 8030.9 -1309.8 23819.3 601.6 2327.2 1043.3 20453.9 -847.621 6745.3 9530.5 -1308.7 25321.4 601.5 3829.6 1043.4 21956.2 -847.722 8247.8 11030.1 -1307.6 26823.6 601.5 5331.9 1043.5 23458.6 -847.723 9750.2 12529.6 -1306.4 28325.7 601.4 6834.2 1043.5 25000.9 -847.7Mer.pass.:16:29 v-0.4 d1.1 m-3.9 v2.1 d-0.1 m-0.1 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11252.7 14029.2 -1305.3 29827.9 601.4 8336.5 1043.6 26503.3 -847.71 12755.1 15528.8 -1304.2 31330.1 601.3 9838.8 1043.7 28005.7 -847.82 14257.6 17028.4 -1303.0 32832.2 601.3 11341.1 1043.7 29508.0 -847.83 15800.1 18527.9 -1301.9 34334.4 601.2 12843.4 1043.8 31010.4 -847.84 17302.5 20027.5 -1300.8 35836.6 601.2 14345.8 1043.9 32512.7 -847.85 18805.0 21527.1 -1259.6 1338.7 601.1 15848.1 1043.9 34015.1 -847.96 20307.5 23026.6 -1258.5 2840.9 601.1 17350.4 1044.0 35517.5 -847.97 21809.9 24526.2 -1257.4 4343.1 601.0 18852.7 1044.1 1019.8 -847.98 23312.4 26025.8 -1256.2 5845.2 601.0 20355.0 1044.1 2522.2 -848.09 24814.9 27525.4 -1255.1 7347.4 600.9 21857.3 1044.2 4024.5 -848.010 26317.3 29024.9 -1254.0 8849.6 600.9 23359.6 1044.3 5526.9 -848.011 27819.8 30524.5 -1252.8 10351.8 600.8 24901.9 1044.3 7029.3 -848.012 29322.3 32024.1 -1251.7 11853.9 600.8 26404.3 1044.4 8531.6 -848.113 30824.7 33523.7 -1250.5 13356.1 600.8 27906.6 1044.5 10034.0 -848.114 32327.2 35023.2 -1249.4 14858.3 600.7 29408.9 1044.5 11536.3 -848.115 33829.6 522.8 -1248.3 16400.5 600.7 30911.2 1044.6 13038.7 -848.116 35332.1 2022.4 -1247.1 17902.6 600.6 32413.5 1044.7 14541.1 -848.217 834.6 3522.0 -1246.0 19404.8 600.6 33915.8 1044.8 16043.4 -848.218 2337.0 5021.5 -1244.8 20907.0 600.5 35418.1 1044.8 17545.8 -848.219 3839.5 6521.1 -1243.7 22409.2 600.5 920.4 1044.9 19048.1 -848.220 5342.0 8020.7 -1242.5 23911.4 600.5 2422.7 1045.0 20550.5 -848.321 6844.4 9520.3 -1241.4 25413.6 600.4 3925.0 1045.0 22052.9 -848.322 8346.9 11019.9 -1240.3 26915.7 600.4 5427.3 1045.1 23555.2 -848.323 9849.4 12519.4 -1239.1 28417.9 600.3 6929.7 1045.2 25057.6 -848.3Mer.pass.:16:25 v-0.4 d1.1 m-3.9 v2.2 d-0.0 m-0.1 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11351.8 14019.0 -1238.0 29920.1 600.3 8432.0 1045.2 26560.0 -848.41 12854.3 15518.6 -1236.8 31422.3 600.3 9934.3 1045.3 28102.3 -848.42 14356.8 17018.2 -1235.7 32924.5 600.2 11436.6 1045.4 29604.7 -848.43 15859.2 18517.8 -1234.5 34426.7 600.2 12938.9 1045.5 31107.1 -848.54 17401.7 20017.4 -1233.4 35928.9 600.1 14441.2 1045.5 32609.4 -848.55 18904.1 21516.9 -1232.2 1431.1 600.1 15943.5 1045.6 34111.8 -848.56 20406.6 23016.5 -1231.1 2933.3 600.1 17445.8 1045.7 35614.1 -848.57 21909.1 24516.1 -1229.9 4435.5 600.0 18948.1 1045.7 1116.5 -848.68 23411.5 26015.7 -1228.8 5937.7 600.0 20450.4 1045.8 2618.9 -848.69 24914.0 27515.3 -1227.6 7439.9 560.0 21952.7 1045.9 4121.2 -848.610 26416.5 29014.9 -1226.5 8942.1 559.9 23455.0 1046.0 5623.6 -848.611 27918.9 30514.5 -1225.3 10444.3 559.9 24957.3 1046.0 7126.0 -848.712 29421.4 32014.0 -1224.2 11946.5 559.9 26459.6 1046.1 8628.3 -848.713 30923.9 33513.6 -1223.0 13448.7 559.8 28001.9 1046.2 10130.7 -848.714 32426.3 35013.2 -1221.9 14950.9 559.8 29504.2 1046.2 11633.1 -848.715 33928.8 512.8 -1220.7 16453.1 559.8 31006.5 1046.3 13135.4 -848.816 35431.2 2012.4 -1219.6 17955.3 559.7 32508.8 1046.4 14637.8 -848.817 933.7 3512.0 -1218.4 19457.5 559.7 34011.1 1046.5 16140.2 -848.818 2436.2 5011.6 -1217.3 20959.7 559.7 35513.4 1046.5 17642.5 -848.819 3938.6 6511.2 -1216.1 22501.9 559.6 1015.7 1046.6 19144.9 -848.920 5441.1 8010.8 -1214.9 24004.1 559.6 2518.0 1046.7 20647.3 -848.921 6943.6 9510.4 -1213.8 25506.3 559.6 4020.3 1046.7 22149.6 -848.922 8446.0 11010.0 -1212.6 27008.5 559.6 5522.6 1046.8 23652.0 -848.923 9948.5 12509.6 -1211.5 28510.7 559.5 7024.9 1046.9 25154.4 -849.0Mer.pass.:16:21 v-0.4 d1.1 m-3.9 v2.2 d-0.0 m-0.1 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.7 2909.7Ankaa 35316.7 -4214.6

Schedar 34941.8 5636.6Diphda 34856.8 -1755.3


Aldebaran 29050.3 1632.0Rigel 28112.7 -811.4



Sirius 25834.1 -1644.0Adara 25512.9 -2859.5








Atria 10730.9 -6902.7Sabik 10213.9 -1544.3


Etamin 9047.1 5129.2Kaus Aust. 8345.5 -3422.6


Peacock 5321.3 -5641.7Deneb 4932.6 4519.6

Enif 3348.4 955.9Alnair 2745.3 -4654.2



Jupiter 33047.3 18:26Saturn 15213.2 06:23


Jupiter 33043.8 18:23Saturn 15210.6 06:19


Jupiter 33040.1 18:19Saturn 15208.1 06:15


10


h Sun MoonFri GHA Dec GHA Dec d HP0 17755.8 -2136.6 31357.4 11.4 342.6 -13.0 58.41 19255.5 -2136.2 32827.8 11.4 329.5 -13.1 58.42 20755.3 -2135.8 34258.3 11.4 316.5 -13.1 58.43 22255.0 -2135.4 35728.7 11.4 303.3 -13.1 58.44 23754.8 -2135.0 1159.2 11.4 250.2 -13.1 58.55 25254.6 -2134.6 2629.6 11.4 237.1 -13.2 58.56 26754.3 -2134.1 4100.1 11.4 223.9 -13.2 58.57 28254.1 -2133.7 5530.5 11.4 210.7 -13.2 58.58 29753.8 -2133.3 7000.9 11.4 157.5 -13.2 58.59 31253.6 -2132.9 8431.4 11.4 144.3 -13.2 58.510 32753.4 -2132.5 9901.8 11.4 131.1 -13.2 58.511 34253.1 -2132.1 11332.2 11.4 117.9 -13.2 58.612 35752.9 -2131.6 12802.6 11.4 104.6 -13.3 58.613 1252.7 -2131.2 14233.0 11.4 051.4 -13.3 58.614 2752.4 -2130.8 15703.4 11.4 038.1 -13.3 58.615 4252.2 -2130.4 17133.8 11.4 024.8 -13.3 58.616 5752.0 -2130.0 18604.2 11.4 011.5 -13.3 58.617 7251.7 -2129.5 20034.6 11.4 -001.8 -13.3 58.618 8751.5 -2129.1 21505.0 11.4 -015.1 -13.3 58.619 10251.3 -2128.7 22935.3 11.3 -028.4 -13.3 58.720 11751.0 -2128.3 24405.6 11.3 -041.7 -13.3 58.721 13250.8 -2127.8 25836.0 11.3 -055.0 -13.3 58.722 14750.6 -2127.4 27306.3 11.3 -108.3 -13.3 58.723 16250.3 -2127.0 28736.6 11.3 -121.6 -13.3 58.7

SD.=16.3 d=0.4 S.D.=15.9

Sat GHA Dec GHA Dec d HP0 17750.1 -2126.5 30206.8 11.3 -134.8 -13.3 58.71 19249.9 -2126.1 31637.1 11.3 -148.1 -13.3 58.72 20749.6 -2125.7 33107.3 11.2 -201.4 -13.3 58.73 22249.4 -2125.3 34537.6 11.2 -214.7 -13.3 58.84 23749.2 -2124.8 007.8 11.2 -228.0 -13.3 58.85 25248.9 -2124.4 1438.0 11.2 -241.2 -13.3 58.86 26748.7 -2124.0 2908.1 11.1 -254.5 -13.2 58.87 28248.5 -2123.5 4338.3 11.1 -307.7 -13.2 58.88 29748.2 -2123.1 5808.4 11.1 -320.9 -13.2 58.89 31248.0 -2122.7 7238.5 11.1 -334.2 -13.2 58.810 32747.8 -2122.2 8708.5 11.1 -347.4 -13.2 58.811 34247.6 -2121.8 10138.6 11.0 -400.5 -13.2 58.812 35747.3 -2121.4 11608.6 11.0 -413.7 -13.2 58.813 1247.1 -2120.9 13038.6 11.0 -426.8 -13.1 58.914 2746.9 -2120.5 14508.5 10.9 -440.0 -13.1 58.915 4246.6 -2120.0 15938.4 10.9 -453.1 -13.1 58.916 5746.4 -2119.6 17408.3 10.9 -506.1 -13.1 58.917 7246.2 -2119.2 18838.2 10.9 -519.2 -13.0 58.918 8746.0 -2118.7 20308.0 10.8 -532.2 -13.0 58.919 10245.7 -2118.3 21737.8 10.8 -545.2 -13.0 58.920 11745.5 -2117.8 23207.6 10.8 -558.2 -13.0 58.921 13245.3 -2117.4 24637.3 10.7 -611.2 -12.9 58.922 14745.0 -2116.9 26107.0 10.7 -624.1 -12.9 58.923 16244.8 -2116.5 27536.7 10.6 -637.0 -12.9 59.0

SD.=16.3 d=0.4 S.D.=16.0

Sun GHA Dec GHA Dec d HP0 17744.6 -2116.1 29006.3 10.6 -649.8 -12.8 59.01 19244.4 -2115.6 30435.9 10.6 -702.6 -12.8 59.02 20744.1 -2115.2 31905.5 10.5 -715.4 -12.8 59.03 22243.9 -2114.7 33335.0 10.5 -728.2 -12.7 59.04 23743.7 -2114.3 34804.4 10.5 -740.9 -12.7 59.05 25243.5 -2113.8 233.9 10.4 -753.5 -12.7 59.06 26743.2 -2113.4 1703.3 10.4 -806.2 -12.6 59.07 28243.0 -2112.9 3132.6 10.3 -818.8 -12.6 59.08 29742.8 -2112.5 4601.9 10.3 -831.3 -12.5 59.09 31242.6 -2112.0 6031.2 10.2 -843.8 -12.5 59.010 32742.3 -2111.6 7500.4 10.2 -856.3 -12.4 59.011 34242.1 -2111.1 8929.6 10.1 -908.7 -12.4 59.012 35741.9 -2110.6 10358.7 10.1 -921.0 -12.3 59.113 1241.7 -2110.2 11827.8 10.1 -933.3 -12.3 59.114 2741.5 -2109.7 13256.8 10.0 -945.6 -12.2 59.115 4241.2 -2109.3 14725.8 10.0 -957.8 -12.2 59.116 5741.0 -2108.8 16154.7 9.9 -1010.0 -12.1 59.117 7240.8 -2108.4 17623.6 9.9 -1022.1 -12.1 59.118 8740.6 -2107.9 19052.4 9.8 -1034.1 -12.0 59.119 10240.3 -2107.5 20521.2 9.8 -1046.1 -12.0 59.120 11740.1 -2107.0 21949.9 9.7 -1058.0 -11.9 59.121 13239.9 -2106.5 23418.6 9.7 -1109.9 -11.8 59.122 14739.7 -2106.1 24847.2 9.6 -1121.7 -11.8 59.123 16239.5 -2105.6 26315.8 9.5 -1133.5 -11.7 59.1

SD.=16.3 d=0.4 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:04 09:58 : : 14:21 16:1470 07:49 09:22 : : 14:56 16:3068 07:36 08:57 10:40 13:38 15:22 16:4266 07:26 08:37 09:58 14:21 15:41 16:5264 07:17 08:21 09:29 14:49 15:57 17:0162 07:09 08:08 09:07 15:11 16:10 17:0960 07:02 07:57 08:50 15:28 16:21 17:1658 06:56 07:47 08:35 15:43 16:31 17:2256 06:51 07:38 08:23 15:55 16:40 17:2854 06:45 07:30 08:12 16:06 16:48 17:3352 06:41 07:23 08:02 16:16 16:55 17:3750 06:36 07:17 07:54 16:24 17:01 17:4245 06:26 07:03 07:36 16:43 17:15 17:5240 06:17 06:51 07:21 16:57 17:27 18:0135 06:09 06:40 07:08 17:10 17:38 18:0930 06:02 06:31 06:57 17:21 17:47 18:1620 05:47 06:14 06:38 17:40 18:04 18:3110 05:32 05:58 06:21 17:57 18:19 18:450 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 MoonsetLat. Fri Sat Sun Fri Sat Sun72 22:04 : 00:09 09:41 09:23 09:0370 22:02 23:58 : 09:39 09:28 09:1668 22:00 23:49 : 09:38 09:32 09:2766 21:59 23:42 : 09:36 09:36 09:3664 21:58 23:36 : 09:35 09:39 09:4362 21:57 23:31 : 09:34 09:41 09:5060 21:56 23:27 : 09:33 09:44 09:5558 21:56 23:23 : 09:32 09:46 10:0156 21:55 23:19 : 09:32 09:48 10:0554 21:55 23:16 : 09:31 09:49 10:0952 21:54 23:13 : 09:30 09:51 10:1350 21:54 23:11 : 09:30 09:52 10:1645 21:53 23:05 : 09:29 09:55 10:2340 21:52 23:01 : 09:28 09:58 10:3035 21:51 22:57 : 09:27 10:00 10:3530 21:50 22:53 23:57 09:26 10:02 10:3920 21:49 22:47 23:47 09:25 10:05 10:4810 21:49 22:42 23:37 09:23 10:08 10:550 21:48 22:37 23:29 09:22 10:11 11:01-10 21:47 22:33 23:20 09:21 10:14 11:08-20 21:46 22:28 23:11 09:20 10:17 11:15-30 21:45 22:22 23:01 09:18 10:20 11:24-35 21:45 22:19 22:55 09:17 10:22 11:28-40 21:44 22:15 22:48 09:16 10:25 11:34-45 21:44 22:11 22:40 09:15 10:27 11:40-50 21:43 22:06 22:31 09:13 10:30 11:48-52 21:42 22:04 22:27 09:13 10:32 11:51-54 21:42 22:01 22:22 09:12 10:33 11:55-56 21:42 21:58 22:17 09:11 10:35 11:59-58 21:41 21:55 22:11 09:10 10:37 12:04-60 21:41 21:52 22:05 09:09 10:39 12:10



11

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

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11451.0 14009.2 -1210.3 30012.9 559.5 8527.2 1047.0 26656.7 -849.01 12953.4 15508.7 -1209.2 31515.2 559.5 10029.5 1047.0 28159.1 -849.02 14455.9 17008.3 -1208.0 33017.4 559.5 11531.8 1047.1 29701.5 -849.03 15958.4 18507.9 -1206.8 34519.6 559.4 13034.1 1047.2 31203.8 -849.14 17500.8 20007.5 -1205.7 021.8 559.4 14536.4 1047.3 32706.2 -849.15 19003.3 21507.1 -1204.5 1524.0 559.4 16038.7 1047.3 34208.6 -849.16 20505.7 23006.7 -1203.3 3026.2 559.3 17541.0 1047.4 35710.9 -849.17 22008.2 24506.3 -1202.2 4528.5 559.3 19043.3 1047.5 1213.3 -849.18 23510.7 26005.9 -1201.0 6030.7 559.3 20545.6 1047.6 2715.7 -849.29 25013.1 27505.5 -1159.9 7532.9 559.3 22047.9 1047.6 4218.0 -849.210 26515.6 29005.1 -1158.7 9035.1 559.3 23550.2 1047.7 5720.4 -849.211 28018.1 30504.7 -1157.5 10537.4 559.2 25052.5 1047.8 7222.8 -849.212 29520.5 32004.3 -1156.4 12039.6 559.2 26554.8 1047.8 8725.1 -849.313 31023.0 33503.9 -1155.2 13541.8 559.2 28057.1 1047.9 10227.5 -849.314 32525.5 35003.5 -1154.0 15044.0 559.2 29559.4 1048.0 11729.9 -849.315 34027.9 503.1 -1152.9 16546.3 559.1 31101.7 1048.1 13232.3 -849.316 35530.4 2002.7 -1151.7 18048.5 559.1 32604.0 1048.1 14734.6 -849.417 1032.9 3502.4 -1150.5 19550.7 559.1 34106.3 1048.2 16237.0 -849.418 2535.3 5002.0 -1149.4 21053.0 559.1 35608.6 1048.3 17739.4 -849.419 4037.8 6501.6 -1148.2 22555.2 559.1 1110.9 1048.4 19241.7 -849.420 5540.2 8001.2 -1147.0 24057.4 559.0 2613.2 1048.4 20744.1 -849.521 7042.7 9500.8 -1145.9 25559.7 559.0 4115.5 1048.5 22246.5 -849.522 8545.2 11000.4 -1144.7 27101.9 559.0 5617.8 1048.6 23748.8 -849.523 10047.6 12460.0 -1143.5 28604.1 559.0 7120.1 1048.7 25251.2 -849.5Mer.pass.:16:17 v-0.4 d1.2 m-3.9 v2.2 d-0.0 m-0.1 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11550.1 13959.6 -1142.3 30106.4 559.0 8622.3 1048.7 26753.6 -849.51 13052.6 15459.2 -1141.2 31608.6 559.0 10124.6 1048.8 28256.0 -849.62 14555.0 16958.8 -1140.0 33110.9 558.9 11626.9 1048.9 29758.3 -849.63 16057.5 18458.4 -1138.8 34613.1 558.9 13129.2 1049.0 31300.7 -849.64 17560.0 19958.0 -1137.7 115.3 558.9 14631.5 1049.0 32803.1 -849.65 19102.4 21457.6 -1136.5 1617.6 558.9 16133.8 1049.1 34305.4 -849.76 20604.9 22957.3 -1135.3 3119.8 558.9 17636.1 1049.2 35807.8 -849.77 22107.3 24456.9 -1134.1 4622.1 558.9 19138.4 1049.3 1310.2 -849.78 23609.8 25956.5 -1133.0 6124.3 558.9 20640.7 1049.4 2812.6 -849.79 25112.3 27456.1 -1131.8 7626.6 558.8 22143.0 1049.4 4314.9 -849.810 26614.7 28955.7 -1130.6 9128.8 558.8 23645.2 1049.5 5817.3 -849.811 28117.2 30455.3 -1129.4 10631.1 558.8 25147.5 1049.6 7319.7 -849.812 29619.7 31954.9 -1128.3 12133.3 558.8 26649.8 1049.7 8822.1 -849.813 31122.1 33454.6 -1127.1 13635.6 558.8 28152.1 1049.7 10324.4 -849.814 32624.6 34954.2 -1125.9 15137.8 558.8 29654.4 1049.8 11826.8 -849.915 34127.1 453.8 -1124.7 16640.1 558.8 31156.7 1049.9 13329.2 -849.916 35629.5 1953.4 -1123.5 18142.4 558.8 32659.0 1050.0 14831.5 -849.917 1132.0 3453.0 -1122.4 19644.6 558.8 34201.3 1050.0 16333.9 -849.918 2634.5 4952.6 -1121.2 21146.9 558.8 35703.6 1050.1 17836.3 -849.919 4136.9 6452.3 -1120.0 22649.1 558.8 1205.8 1050.2 19338.7 -850.020 5639.4 7951.9 -1118.8 24151.4 558.7 2708.1 1050.3 20841.0 -850.021 7141.8 9451.5 -1117.6 25653.7 558.7 4210.4 1050.4 22343.4 -850.022 8644.3 10951.1 -1116.5 27155.9 558.7 5712.7 1050.4 23845.8 -850.023 10146.8 12450.7 -1115.3 28658.2 558.7 7215.0 1050.5 25348.2 -850.1Mer.pass.:16:13 v-0.4 d1.2 m-3.9 v2.2 d-0.0 m-0.1 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11649.2 13950.4 -1114.1 30200.4 558.7 8717.3 1050.6 26850.5 -850.11 13151.7 15450.0 -1112.9 31702.7 558.7 10219.5 1050.7 28352.9 -850.12 14654.2 16949.6 -1111.7 33205.0 558.7 11721.8 1050.7 29855.3 -850.13 16156.6 18449.2 -1110.5 34707.2 558.7 13224.1 1050.8 31357.7 -850.14 17659.1 19948.8 -1109.3 209.5 558.7 14726.4 1050.9 32900.0 -850.25 19201.6 21448.5 -1108.2 1711.8 558.7 16228.7 1051.0 34402.4 -850.26 20704.0 22948.1 -1107.0 3214.1 558.7 17731.0 1051.1 35904.8 -850.27 22206.5 24447.7 -1105.8 4716.3 558.7 19233.2 1051.1 1407.2 -850.28 23709.0 25947.3 -1104.6 6218.6 558.7 20735.5 1051.2 2909.5 -850.29 25211.4 27447.0 -1103.4 7720.9 558.7 22237.8 1051.3 4411.9 -850.310 26713.9 28946.6 -1102.2 9223.2 558.7 23740.1 1051.4 5914.3 -850.311 28216.3 30446.2 -1101.0 10725.4 558.7 25242.4 1051.5 7416.7 -850.312 29718.8 31945.8 -1059.8 12227.7 558.7 26744.7 1051.5 8919.1 -850.313 31221.3 33445.5 -1058.7 13730.0 558.7 28246.9 1051.6 10421.4 -850.414 32723.7 34945.1 -1057.5 15232.3 558.7 29749.2 1051.7 11923.8 -850.415 34226.2 444.7 -1056.3 16734.6 558.7 31251.5 1051.8 13426.2 -850.416 35728.7 1944.4 -1055.1 18236.8 558.7 32753.8 1051.9 14928.6 -850.417 1231.1 3444.0 -1053.9 19739.1 558.7 34256.1 1051.9 16430.9 -850.418 2733.6 4943.6 -1052.7 21241.4 558.7 35758.3 1052.0 17933.3 -850.519 4236.1 6443.2 -1051.5 22743.7 558.7 1300.6 1052.1 19435.7 -850.520 5738.5 7942.9 -1050.3 24246.0 558.7 2802.9 1052.2 20938.1 -850.521 7241.0 9442.5 -1049.1 25748.3 558.7 4305.2 1052.3 22440.5 -850.522 8743.5 10942.1 -1047.9 27250.6 558.7 5807.4 1052.3 23942.8 -850.523 10245.9 12441.8 -1046.7 28752.9 558.7 7309.7 1052.4 25445.2 -850.6Mer.pass.:16:10 v-0.4 d1.2 m-3.9 v2.3 d-0.0 m-0.2 v2.3 d0.1 m-2.3 v2.4 d-0.0 m0.7

StarsSHA Dec

Alpheratz 35744.7 2909.7Ankaa 35316.8 -4214.6

Schedar 34941.8 5636.5Diphda 34856.8 -1755.3


Aldebaran 29050.3 1632.0Rigel 28112.7 -811.4



Sirius 25834.1 -1644.0Adara 25512.9 -2859.5








Atria 10730.9 -6902.7Sabik 10213.9 -1544.3


Etamin 9047.1 5129.2Kaus Aust. 8345.5 -3422.6


Peacock 5321.3 -5641.7Deneb 4932.6 4519.6

Enif 3348.4 955.9Alnair 2745.3 -4654.2



Jupiter 33036.3 18:15Saturn 15205.8 06:11


Jupiter 33032.2 18:12Saturn 15203.5 06:07


Jupiter 33028.0 18:08Saturn 15201.3 06:04


12


h Sun MoonMon GHA Dec GHA Dec d HP0 17739.2 -2105.1 27744.3 9.5 -1145.2 -11.7 59.11 19239.0 -2104.7 29212.8 9.4 -1156.8 -11.6 59.12 20738.8 -2104.2 30641.2 9.4 -1208.3 -11.5 59.13 22238.6 -2103.8 32109.5 9.3 -1219.8 -11.5 59.24 23738.4 -2103.3 33537.8 9.3 -1231.2 -11.4 59.25 25238.2 -2102.8 35006.1 9.2 -1242.6 -11.3 59.26 26737.9 -2102.4 434.3 9.2 -1253.9 -11.2 59.27 28237.7 -2101.9 1902.4 9.1 -1305.1 -11.2 59.28 29737.5 -2101.4 3330.5 9.0 -1316.2 -11.1 59.29 31237.3 -2100.9 4758.5 9.0 -1327.2 -11.0 59.210 32737.1 -2100.5 6226.4 8.9 -1338.2 -10.9 59.211 34236.9 -2100.0 7654.3 8.9 -1349.1 -10.9 59.212 35736.6 -2059.5 9122.1 8.8 -1359.9 -10.8 59.213 1236.4 -2059.1 10549.9 8.7 -1410.7 -10.7 59.214 2736.2 -2058.6 12017.6 8.7 -1421.3 -10.6 59.215 4236.0 -2058.1 13445.3 8.6 -1431.9 -10.5 59.216 5735.8 -2057.6 14912.9 8.6 -1442.4 -10.5 59.217 7235.6 -2057.2 16340.4 8.5 -1452.8 -10.4 59.218 8735.3 -2056.7 17807.9 8.4 -1503.1 -10.3 59.219 10235.1 -2056.2 19235.3 8.4 -1513.4 -10.2 59.220 11734.9 -2055.7 20702.6 8.3 -1523.5 -10.1 59.221 13234.7 -2055.3 22129.9 8.3 -1533.6 -10.0 59.222 14734.5 -2054.8 23557.1 8.2 -1543.5 -9.9 59.223 16234.3 -2054.3 25024.3 8.1 -1553.4 -9.8 59.2

SD.=16.3 d=0.5 S.D.=16.1

Tue GHA Dec GHA Dec d HP0 17734.1 -2053.8 26451.4 8.1 -1603.2 -9.7 59.21 19233.9 -2053.4 27918.4 8.0 -1612.9 -9.6 59.22 20733.6 -2052.9 29345.4 7.9 -1622.4 -9.5 59.33 22233.4 -2052.4 30812.3 7.9 -1631.9 -9.4 59.34 23733.2 -2051.9 32239.2 7.8 -1641.3 -9.3 59.35 25233.0 -2051.4 33706.0 7.8 -1650.6 -9.2 59.36 26732.8 -2050.9 35132.7 7.7 -1659.8 -9.1 59.37 28232.6 -2050.5 559.4 7.6 -1708.9 -9.0 59.38 29732.4 -2050.0 2026.0 7.6 -1717.8 -8.9 59.39 31232.2 -2049.5 3452.5 7.5 -1726.7 -8.8 59.310 32732.0 -2049.0 4919.0 7.5 -1735.5 -8.7 59.311 34231.7 -2048.5 6345.4 7.4 -1744.1 -8.6 59.312 35731.5 -2048.0 7811.8 7.3 -1752.7 -8.5 59.313 1231.3 -2047.5 9238.1 7.3 -1801.1 -8.4 59.314 2731.1 -2047.0 10704.3 7.2 -1809.4 -8.3 59.315 4230.9 -2046.6 12130.5 7.1 -1817.6 -8.2 59.316 5730.7 -2046.1 13556.6 7.1 -1825.7 -8.0 59.317 7230.5 -2045.6 15022.7 7.0 -1833.7 -7.9 59.318 8730.3 -2045.1 16448.7 7.0 -1841.6 -7.8 59.319 10230.1 -2044.6 17914.6 6.9 -1849.3 -7.7 59.320 11729.9 -2044.1 19340.5 6.9 -1857.0 -7.6 59.321 13229.7 -2043.6 20806.3 6.8 -1904.5 -7.5 59.322 14729.5 -2043.1 22232.1 6.7 -1911.9 -7.3 59.323 16229.3 -2042.6 23657.8 6.7 -1919.1 -7.2 59.3

SD.=16.3 d=0.5 S.D.=16.2

Wed GHA Dec GHA Dec d HP0 17729.1 -2042.1 251

the nautical almanac 2012 nautical al… · · 2017-05-20the moon's observation and is found in...

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