The Nautical Almanac 1981 Nautical Almanac.pdf · For security relevant applications you should buy an official version of the nautical almanac. The Nautical Almanac ... 22 CALCULATIONS

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Author:Enno Rodegerdts

November 2015

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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 1981

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 useful Formulas

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 your Ap Latitude enter a negative sign beforeit.

To put Z into the right quadrant, 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 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.

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. 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 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10033.5 20426.5 -2157.7 15714.8 -2104.5 27118.5 -233.9 27054.1 -136.01 11535.9 21925.6 -2158.1 17215.2 -2104.1 28620.8 -234.0 28556.4 -136.12 13038.4 23424.8 -2158.5 18715.7 -2103.6 30123.1 -234.1 30058.8 -136.13 14540.8 24923.9 -2158.9 20216.1 -2103.2 31625.4 -234.1 31601.2 -136.14 16043.3 26423.0 -2159.3 21716.5 -2102.8 33127.7 -234.2 33103.6 -136.15 17545.8 27922.1 -2159.7 23216.9 -2102.3 34630.0 -234.2 34606.0 -136.16 19048.2 29421.2 -2200.1 24717.3 -2101.9 132.3 -234.3 108.4 -136.27 20550.7 30920.4 -2200.5 26217.7 -2101.5 1634.6 -234.4 1610.8 -136.28 22053.2 32419.5 -2200.9 27718.1 -2101.0 3136.9 -234.4 3113.2 -136.29 23555.6 33918.6 -2201.2 29218.6 -2100.6 4639.1 -234.5 4615.5 -136.210 25058.1 35417.7 -2201.6 30719.0 -2100.2 6141.4 -234.5 6117.9 -136.211 26600.6 916.8 -2202.0 32219.4 -2059.7 7643.7 -234.6 7620.3 -136.312 28103.0 2416.0 -2202.4 33719.8 -2059.3 9146.0 -234.7 9122.7 -136.313 29605.5 3915.1 -2202.8 35220.2 -2058.9 10648.3 -234.7 10625.1 -136.314 31107.9 5414.2 -2203.2 720.6 -2058.4 12150.6 -234.8 12127.5 -136.315 32610.4 6913.3 -2203.6 2221.0 -2058.0 13652.9 -234.9 13629.9 -136.316 34112.9 8412.4 -2203.9 3721.5 -2057.6 15155.2 -234.9 15132.3 -136.317 35615.3 9911.5 -2204.3 5221.9 -2057.1 16657.5 -235.0 16634.7 -136.418 1117.8 11410.7 -2204.7 6722.3 -2056.7 18159.8 -235.0 18137.0 -136.419 2620.3 12909.8 -2205.1 8222.7 -2056.2 19702.1 -235.1 19639.4 -136.420 4122.7 14408.9 -2205.5 9723.1 -2055.8 21204.4 -235.1 21141.8 -136.421 5625.2 15908.0 -2205.8 11223.5 -2055.4 22706.7 -235.2 22644.2 -136.422 7127.7 17407.1 -2206.2 12724.0 -2054.9 24209.0 -235.3 24146.6 -136.523 8630.1 18906.2 -2206.6 14224.4 -2054.5 25711.3 -235.3 25649.0 -136.5Mer.pass.:17:14 v-0.9 d-0.4 m-3.8 v0.4 d0.4 m1.2 v2.3 d-0.1 m-1.9 v2.4 d-0.0 m0.8

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10132.6 20405.3 -2207.0 15724.8 -2054.1 27213.6 -235.4 27151.4 -136.51 11635.1 21904.5 -2207.3 17225.2 -2053.6 28715.9 -235.4 28653.8 -136.52 13137.5 23403.6 -2207.7 18725.6 -2053.2 30218.2 -235.5 30156.2 -136.53 14640.0 24902.7 -2208.1 20226.0 -2052.7 31720.5 -235.6 31658.6 -136.64 16142.4 26401.8 -2208.4 21726.5 -2052.3 33222.8 -235.6 33201.0 -136.65 17644.9 27900.9 -2208.8 23226.9 -2051.9 34725.1 -235.7 34703.3 -136.66 19147.4 29400.0 -2209.2 24727.3 -2051.4 227.4 -235.7 205.7 -136.67 20649.8 30859.1 -2209.5 26227.7 -2051.0 1729.7 -235.8 1708.1 -136.68 22152.3 32358.2 -2209.9 27728.1 -2050.5 3232.0 -235.8 3210.5 -136.69 23654.8 33857.4 -2210.3 29228.6 -2050.1 4734.3 -235.9 4712.9 -136.710 25157.2 35356.5 -2210.6 30729.0 -2049.6 6236.6 -236.0 6215.3 -136.711 26659.7 855.6 -2211.0 32229.4 -2049.2 7738.9 -236.0 7717.7 -136.712 28202.2 2354.7 -2211.3 33729.8 -2048.8 9241.2 -236.1 9220.1 -136.713 29704.6 3853.8 -2211.7 35230.2 -2048.3 10743.5 -236.1 10722.5 -136.714 31207.1 5352.9 -2212.1 730.7 -2047.9 12245.8 -236.2 12224.9 -136.815 32709.6 6852.0 -2212.4 2231.1 -2047.4 13748.1 -236.2 13727.3 -136.816 34212.0 8351.1 -2212.8 3731.5 -2047.0 15250.4 -236.3 15229.7 -136.817 35714.5 9850.2 -2213.1 5231.9 -2046.5 16752.7 -236.4 16732.1 -136.818 1216.9 11349.3 -2213.5 6732.3 -2046.1 18255.0 -236.4 18234.4 -136.819 2719.4 12848.4 -2213.8 8232.7 -2045.6 19757.3 -236.5 19736.8 -136.820 4221.9 14347.5 -2214.2 9733.2 -2045.2 21259.6 -236.5 21239.2 -136.921 5724.3 15846.7 -2214.5 11233.6 -2044.7 22801.9 -236.6 22741.6 -136.922 7226.8 17345.8 -2214.9 12734.0 -2044.3 24304.2 -236.6 24244.0 -136.923 8729.3 18844.9 -2215.2 14234.4 -2043.8 25806.6 -236.7 25746.4 -136.9Mer.pass.:17:11 v-0.9 d-0.4 m-3.8 v0.4 d0.4 m1.2 v2.3 d-0.1 m-1.9 v2.4 d-0.0 m0.8

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10231.7 20344.0 -2215.6 15734.9 -2043.4 27308.9 -236.8 27248.8 -136.91 11734.2 21843.1 -2215.9 17235.3 -2043.0 28811.2 -236.8 28751.2 -136.92 13236.7 23342.2 -2216.2 18735.7 -2042.5 30313.5 -236.9 30253.6 -137.03 14739.1 24841.3 -2216.6 20236.1 -2042.1 31815.8 -236.9 31756.0 -137.04 16241.6 26340.4 -2216.9 21736.5 -2041.6 33318.1 -237.0 33258.4 -137.05 17744.1 27839.5 -2217.3 23237.0 -2041.2 34820.4 -237.0 34800.8 -137.06 19246.5 29338.6 -2217.6 24737.4 -2040.7 322.7 -237.1 303.2 -137.07 20749.0 30837.7 -2217.9 26237.8 -2040.2 1825.0 -237.1 1805.6 -137.08 22251.4 32336.8 -2218.3 27738.2 -2039.8 3327.3 -237.2 3308.0 -137.19 23753.9 33835.9 -2218.6 29238.6 -2039.3 4829.6 -237.3 4810.4 -137.110 25256.4 35335.0 -2218.9 30739.1 -2038.9 6331.9 -237.3 6312.8 -137.111 26758.8 834.1 -2219.3 32239.5 -2038.4 7834.2 -237.4 7815.2 -137.112 28301.3 2333.2 -2219.6 33739.9 -2038.0 9336.5 -237.4 9317.6 -137.113 29803.8 3832.3 -2219.9 35240.3 -2037.5 10838.9 -237.5 10820.0 -137.114 31306.2 5331.4 -2220.3 740.8 -2037.1 12341.2 -237.5 12322.4 -137.215 32808.7 6830.5 -2220.6 2241.2 -2036.6 13843.5 -237.6 13824.8 -137.216 34311.2 8329.6 -2220.9 3741.6 -2036.2 15345.8 -237.6 15327.1 -137.217 35813.6 9828.7 -2221.3 5242.0 -2035.7 16848.1 -237.7 16829.5 -137.218 1316.1 11327.8 -2221.6 6742.5 -2035.3 18350.4 -237.7 18331.9 -137.219 2818.5 12826.9 -2221.9 8242.9 -2034.8 19852.7 -237.8 19834.3 -137.220 4321.0 14326.0 -2222.2 9743.3 -2034.3 21355.0 -237.8 21336.7 -137.221 5823.5 15825.1 -2222.5 11243.7 -2033.9 22857.3 -237.9 22839.1 -137.322 7325.9 17324.2 -2222.9 12744.1 -2033.4 24359.6 -238.0 24341.5 -137.323 8828.4 18823.3 -2223.2 14244.6 -2033.0 25902.0 -238.0 25843.9 -137.3Mer.pass.:17:07 v-0.9 d-0.3 m-3.8 v0.4 d0.4 m1.2 v2.3 d-0.1 m-1.9 v2.4 d-0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.1 -4224.9

Schedar 35008.7 5626.2Diphda 34920.6 -1805.7

Achernar 33545.0 -5720.4Hamal 32828.6 2322.4Polaris 32638.0 8910.9Akamar 31536.8 -4023.2Menkar 31440.7 400.8Mirfak 30915.5 4947.7

Aldebaran 29117.5 1628.2Rigel 28135.5 -813.5

Capella 28110.6 4558.8Bellatrix 27858.2 619.9Elnath 27843.5 2835.5Alnilam 27611.1 -112.9

Betelgeuse 27127.7 724.1Canopus 26406.6 -5241.2

Sirius 25855.0 -1641.3Adara 25531.5 -2856.8

Procyon 24525.2 516.5Pollux 24357.4 2804.3Avior 23427.5 -5926.8Suhail 22310.2 -4321.2

Miaplacidus 22144.1 -6938.2Alphard 21820.1 -834.5Regulus 20809.5 1203.6Dubhe 19421.6 6151.0

Denebola 18258.7 1440.7Gienah 17617.7 -1726.0Acrux 17337.0 -6259.2

Gacrux 17228.4 -5700.1Alioth 16642.4 5603.6Spica 15857.4 -1103.6Alcaid 15318.5 4924.3Hadar 14923.3 -6016.5

Menkent 14836.9 -3616.3Arcturus 14618.3 1917.1

Rigil Kent. 14025.8 -6044.9Zubenelg. 13733.0 -1557.6Kochab 13719.7 7413.8

Alphecca 12632.2 2646.7Antares 11256.9 -2623.3

Atria 10821.5 -6859.4Sabik 10241.2 -1542.0

Shaula 9655.9 -3705.3Rasalhague 9629.7 1234.5

Etamin 9058.2 5129.5Kaus Aust. 8417.0 -3423.6

Vega 8056.2 3846.0Nunki 7629.3 -2619.2Altair 6232.7 849.0

Peacock 5358.7 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.3Alnair 2815.0 -4703.4

Fomalhaut 1551.4 -2943.6Scheat 1417.6 2758.8Markab 1403.1 1506.2

1981/1/1 SHA Mer.passVenus 10353.1 10:23Mars 5641.4 13:31

Jupiter 17045.1 05:54Saturn 17020.6 05:55


Jupiter 17041.0 05:50Saturn 17018.8 05:52


Jupiter 17037.1 05:47Saturn 17017.1 05:48

Horizontal paralaxVenus: 0.1Mars: 0.1

2

1981 January 01 to Jan. 03

h Sun MoonThu GHA Dec GHA Dec d HP0 17909.0 -2301.5 24112.2 14.8 -954.2 -9.1 54.31 19408.7 -2301.3 25546.0 14.8 -1003.3 -9.1 54.32 20908.4 -2301.1 27019.7 14.7 -1012.3 -9.0 54.33 22408.1 -2300.9 28453.4 14.7 -1021.3 -9.0 54.34 23907.8 -2300.7 29927.1 14.6 -1030.3 -9.0 54.35 25407.5 -2300.5 31400.7 14.6 -1039.2 -8.9 54.36 26907.2 -2300.3 32834.3 14.6 -1048.1 -8.9 54.37 28406.9 -2300.1 34307.8 14.5 -1057.0 -8.8 54.38 29906.6 -2259.9 35741.3 14.5 -1105.8 -8.8 54.39 31406.3 -2259.7 1214.8 14.4 -1114.6 -8.7 54.310 32906.0 -2259.5 2648.2 14.4 -1123.3 -8.7 54.311 34405.7 -2259.3 4121.5 14.4 -1132.0 -8.7 54.412 35905.4 -2259.1 5554.9 14.3 -1140.6 -8.6 54.413 1405.2 -2258.8 7028.2 14.3 -1149.2 -8.6 54.414 2904.9 -2258.6 8501.4 14.2 -1157.8 -8.5 54.415 4404.6 -2258.4 9934.6 14.2 -1206.3 -8.5 54.416 5904.3 -2258.2 11407.8 14.1 -1214.7 -8.4 54.417 7404.0 -2258.0 12840.9 14.1 -1223.1 -8.4 54.418 8903.7 -2257.8 14313.9 14.0 -1231.5 -8.3 54.419 10403.4 -2257.6 15747.0 14.0 -1239.8 -8.3 54.420 11903.1 -2257.4 17219.9 13.9 -1248.1 -8.2 54.521 13402.8 -2257.1 18652.8 13.9 -1256.3 -8.2 54.522 14902.5 -2256.9 20125.7 13.8 -1304.5 -8.1 54.523 16402.2 -2256.7 21558.5 13.8 -1312.6 -8.1 54.5

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

Fri GHA Dec GHA Dec d HP0 17901.9 -2256.5 23031.3 13.7 -1320.6 -8.0 54.51 19401.6 -2256.3 24504.0 13.7 -1328.6 -8.0 54.52 20901.3 -2256.0 25936.7 13.6 -1336.6 -7.9 54.53 22401.0 -2255.8 27409.3 13.6 -1344.5 -7.9 54.54 23900.7 -2255.6 28841.9 13.5 -1352.3 -7.8 54.65 25400.5 -2255.4 30314.4 13.5 -1400.1 -7.8 54.66 26900.2 -2255.1 31746.9 13.4 -1407.8 -7.7 54.67 28359.9 -2254.9 33219.3 13.4 -1415.5 -7.6 54.68 29859.6 -2254.7 34651.7 13.3 -1423.1 -7.6 54.69 31359.3 -2254.5 124.0 13.3 -1430.7 -7.5 54.610 32859.0 -2254.2 1556.3 13.2 -1438.2 -7.5 54.611 34358.7 -2254.0 3028.5 13.2 -1445.6 -7.4 54.712 35858.4 -2253.8 4500.6 13.1 -1453.0 -7.3 54.713 1358.1 -2253.6 5932.7 13.1 -1500.3 -7.3 54.714 2857.8 -2253.3 7404.7 13.0 -1507.5 -7.2 54.715 4357.5 -2253.1 8836.7 13.0 -1514.7 -7.2 54.716 5857.2 -2252.9 10308.7 12.9 -1521.9 -7.1 54.717 7357.0 -2252.6 11740.5 12.8 -1528.9 -7.0 54.818 8856.7 -2252.4 13212.4 12.8 -1535.9 -7.0 54.819 10356.4 -2252.2 14644.1 12.7 -1542.8 -6.9 54.820 11856.1 -2251.9 16115.8 12.7 -1549.7 -6.8 54.821 13355.8 -2251.7 17547.5 12.6 -1556.5 -6.8 54.822 14855.5 -2251.5 19019.1 12.6 -1603.2 -6.7 54.823 16355.2 -2251.2 20450.6 12.5 -1609.9 -6.6 54.9

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

Sat GHA Dec GHA Dec d HP0 17854.9 -2251.0 21922.1 12.5 -1616.5 -6.6 54.91 19354.6 -2250.7 23353.5 12.4 -1623.0 -6.5 54.92 20854.3 -2250.5 24824.9 12.3 -1629.4 -6.4 54.93 22354.1 -2250.3 26256.2 12.3 -1635.8 -6.3 54.94 23853.8 -2250.0 27727.5 12.2 -1642.1 -6.3 54.95 25353.5 -2249.8 29158.7 12.2 -1648.4 -6.2 55.06 26853.2 -2249.5 30629.8 12.1 -1654.5 -6.1 55.07 28352.9 -2249.3 32100.9 12.1 -1700.6 -6.0 55.08 29852.6 -2249.0 33531.9 12.0 -1706.6 -6.0 55.09 31352.3 -2248.8 35002.9 11.9 -1712.5 -5.9 55.010 32852.0 -2248.6 433.8 11.9 -1718.4 -5.8 55.111 34351.7 -2248.3 1904.6 11.8 -1724.2 -5.7 55.112 35851.5 -2248.1 3335.4 11.8 -1729.9 -5.7 55.113 1351.2 -2247.8 4806.1 11.7 -1735.5 -5.6 55.114 2850.9 -2247.6 6236.8 11.6 -1741.0 -5.5 55.115 4350.6 -2247.3 7707.4 11.6 -1746.5 -5.4 55.216 5850.3 -2247.1 9138.0 11.5 -1751.8 -5.3 55.217 7350.0 -2246.8 10608.5 11.5 -1757.1 -5.3 55.218 8849.7 -2246.6 12038.9 11.4 -1802.4 -5.2 55.219 10349.4 -2246.3 13509.3 11.4 -1807.5 -5.1 55.220 11849.2 -2246.1 14939.6 11.3 -1812.5 -5.0 55.321 13348.9 -2245.8 16409.9 11.2 -1817.5 -4.9 55.322 14848.6 -2245.5 17840.1 11.2 -1822.4 -4.8 55.323 16348.3 -2245.3 19310.3 11.1 -1827.1 -4.7 55.3

SD.=16.3 d=0.2 S.D.=15.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:23 10:40 : : 13:29 15:4670 08:04 09:48 : : 14:20 16:0468 07:49 09:16 : : 14:53 16:1966 07:37 08:52 10:26 13:42 15:16 16:3264 07:26 08:34 09:49 14:20 15:35 16:4262 07:17 08:18 09:22 14:46 15:50 16:5160 07:09 08:05 09:02 15:07 16:03 16:5958 07:02 07:54 08:45 15:23 16:14 17:0656 06:56 07:44 08:31 15:37 16:24 17:1354 06:50 07:36 08:19 15:50 16:33 17:1952 06:44 07:28 08:08 16:00 16:41 17:2450 06:39 07:20 07:59 16:10 16:48 17:2945 06:28 07:05 07:38 16:30 17:04 17:4140 06:18 06:52 07:22 16:46 17:17 17:5135 06:09 06:40 07:08 17:00 17:28 17:6030 06:00 06:30 06:56 17:12 17:38 18:0820 05:44 06:12 06:36 17:33 17:57 18:2410 05:28 05:55 06:17 17:51 18:14 18:400 05:12 05:38 06:00 18:08 18:30 18:56-10 04:53 05:20 05:43 18:25 18:48 19:15-20 04:31 05:00 05:25 18:43 19:08 19:37-30 04:03 04:36 05:03 19:05 19:32 20:05-35 03:44 04:21 04:50 19:18 19:47 20:23-40 03:22 04:03 04:36 19:32 20:05 20:46-45 02:52 03:41 04:18 19:50 20:27 21:15-50 02:09 03:12 03:56 20:12 20:55 21:59-52 01:43 02:58 03:46 20:22 21:10 22:24-54 01:03 02:41 03:34 20:34 21:27 23:03-56 : 02:19 03:20 20:47 21:48 :-58 : 01:52 03:04 21:03 22:15 :-60 : 01:09 02:45 21:23 22:57 :

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 04:24 06:15 08:31 11:37 11:19 10:4170 04:06 05:44 07:29 11:57 11:51 11:4368 03:52 05:22 06:54 12:12 12:14 12:1966 03:41 05:05 06:29 12:25 12:32 12:4464 03:31 04:51 06:10 12:35 12:47 13:0462 03:23 04:39 05:54 12:44 12:60 13:2060 03:16 04:29 05:41 12:52 13:10 13:3458 03:10 04:20 05:30 12:59 13:20 13:4656 03:04 04:12 05:20 13:05 13:28 13:5654 02:59 04:06 05:12 13:11 13:35 14:0552 02:55 03:60 05:04 13:16 13:42 14:1350 02:51 03:54 04:57 13:20 13:48 14:2045 02:42 03:42 04:42 13:30 14:00 14:3540 02:35 03:33 04:30 13:38 14:11 14:4835 02:29 03:24 04:20 13:45 14:20 14:5930 02:24 03:17 04:11 13:51 14:28 15:0920 02:15 03:04 03:56 14:02 14:42 15:2510 02:07 02:53 03:42 14:11 14:54 15:390 01:59 02:43 03:30 14:20 15:05 15:53-10 01:52 02:33 03:17 14:29 15:17 16:06-20 01:44 02:22 03:04 14:38 15:29 16:21-30 01:35 02:10 02:49 14:49 15:43 16:37-35 01:30 02:03 02:40 14:56 15:51 16:47-40 01:24 01:55 02:30 15:03 16:00 16:58-45 01:17 01:46 02:19 15:11 16:11 17:11-50 01:09 01:35 02:04 15:21 16:24 17:27-52 01:05 01:29 01:58 15:26 16:30 17:34-54 01:01 01:24 01:51 15:31 16:37 17:42-56 00:57 01:17 01:43 15:37 16:45 17:52-58 00:52 01:10 01:34 15:43 16:53 18:02-60 00:46 01:02 01:23 15:51 17:03 18:14

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

00h 12h Pass Upper Lower1 03:24 03:38 12:03 08:09 20:31 25(21%)2 03:52 04:06 12:04 08:54 21:17 26(14%)3 04:20 04:34 12:04 09:41 22:05 27(8%)

3

January 04, 05 ,06 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10330.9 20322.4 -2223.5 15745.0 -2032.5 27404.3 -238.1 27346.3 -137.31 11833.3 21821.5 -2223.8 17245.4 -2032.1 28906.6 -238.1 28848.7 -137.32 13335.8 23320.6 -2224.1 18745.8 -2031.6 30408.9 -238.2 30351.1 -137.33 14838.3 24819.7 -2224.4 20246.3 -2031.1 31911.2 -238.2 31853.5 -137.34 16340.7 26318.8 -2224.8 21746.7 -2030.7 33413.5 -238.3 33355.9 -137.45 17843.2 27817.9 -2225.1 23247.1 -2030.2 34915.8 -238.3 34858.3 -137.46 19345.7 29317.0 -2225.4 24747.5 -2029.8 418.2 -238.4 400.7 -137.47 20848.1 30816.1 -2225.7 26248.0 -2029.3 1920.5 -238.4 1903.1 -137.48 22350.6 32315.2 -2226.0 27748.4 -2028.8 3422.8 -238.5 3405.5 -137.49 23853.0 33814.3 -2226.3 29248.8 -2028.4 4925.1 -238.5 4907.9 -137.410 25355.5 35313.4 -2226.6 30749.2 -2027.9 6427.4 -238.6 6410.3 -137.511 26858.0 812.5 -2226.9 32249.7 -2027.4 7929.7 -238.6 7912.7 -137.512 28400.4 2311.6 -2227.2 33750.1 -2027.0 9432.0 -238.7 9415.1 -137.513 29902.9 3810.7 -2227.5 35250.5 -2026.5 10934.4 -238.7 10917.5 -137.514 31405.4 5309.8 -2227.8 751.0 -2026.1 12436.7 -238.8 12419.9 -137.515 32907.8 6808.9 -2228.1 2251.4 -2025.6 13939.0 -238.8 13922.3 -137.516 34410.3 8308.0 -2228.4 3751.8 -2025.1 15441.3 -238.9 15424.7 -137.517 35912.8 9807.1 -2228.7 5252.2 -2024.7 16943.6 -238.9 16927.1 -137.518 1415.2 11306.2 -2229.0 6752.7 -2024.2 18445.9 -239.0 18429.5 -137.619 2917.7 12805.3 -2229.3 8253.1 -2023.7 19948.3 -239.0 19931.9 -137.620 4420.2 14304.4 -2229.6 9753.5 -2023.3 21450.6 -239.1 21434.3 -137.621 5922.6 15803.5 -2229.9 11253.9 -2022.8 22952.9 -239.1 22936.7 -137.622 7425.1 17302.6 -2230.2 12754.4 -2022.3 24455.2 -239.2 24439.1 -137.623 8927.5 18801.6 -2230.5 14254.8 -2021.9 25957.5 -239.2 25941.5 -137.6Mer.pass.:17:03 v-0.9 d-0.3 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.1 m-1.9 v2.4 d-0.0 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10430.0 20300.7 -2230.8 15755.2 -2021.4 27459.8 -239.3 27444.0 -137.61 11932.5 21759.8 -2231.1 17255.7 -2020.9 29002.2 -239.3 28946.4 -137.72 13434.9 23258.9 -2231.4 18756.1 -2020.5 30504.5 -239.4 30448.8 -137.73 14937.4 24758.0 -2231.6 20256.5 -2020.0 32006.8 -239.4 31951.2 -137.74 16439.9 26257.1 -2231.9 21756.9 -2019.5 33509.1 -239.5 33453.6 -137.75 17942.3 27756.2 -2232.2 23257.4 -2019.0 35011.4 -239.5 34956.0 -137.76 19444.8 29255.3 -2232.5 24757.8 -2018.6 513.8 -239.6 458.4 -137.77 20947.3 30754.4 -2232.8 26258.2 -2018.1 2016.1 -239.6 2000.8 -137.78 22449.7 32253.5 -2233.1 27758.7 -2017.6 3518.4 -239.7 3503.2 -137.79 23952.2 33752.6 -2233.3 29259.1 -2017.2 5020.7 -239.7 5005.6 -137.810 25454.7 35251.7 -2233.6 30759.5 -2016.7 6523.1 -239.8 6508.0 -137.811 26957.1 750.7 -2233.9 32260.0 -2016.2 8025.4 -239.8 8010.4 -137.812 28459.6 2249.8 -2234.2 33800.4 -2015.7 9527.7 -239.9 9512.8 -137.813 30002.0 3748.9 -2234.4 35300.8 -2015.3 11030.0 -239.9 11015.2 -137.814 31504.5 5248.0 -2234.7 801.2 -2014.8 12532.3 -240.0 12517.6 -137.815 33007.0 6747.1 -2235.0 2301.7 -2014.3 14034.7 -240.0 14020.0 -137.816 34509.4 8246.2 -2235.3 3802.1 -2013.9 15537.0 -240.1 15522.4 -137.817 011.9 9745.3 -2235.5 5302.5 -2013.4 17039.3 -240.1 17024.8 -137.918 1514.4 11244.4 -2235.8 6803.0 -2012.9 18541.6 -240.2 18527.2 -137.919 3016.8 12743.5 -2236.1 8303.4 -2012.4 20044.0 -240.2 20029.6 -137.920 4519.3 14242.5 -2236.3 9803.8 -2012.0 21546.3 -240.3 21532.0 -137.921 6021.8 15741.6 -2236.6 11304.3 -2011.5 23048.6 -240.3 23034.4 -137.922 7524.2 17240.7 -2236.9 12804.7 -2011.0 24550.9 -240.4 24536.9 -137.923 9026.7 18739.8 -2237.1 14305.1 -2010.5 26053.3 -240.4 26039.3 -137.9Mer.pass.:16:59 v-0.9 d-0.3 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.0 m-1.9 v2.4 d-0.0 m0.8

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10529.2 20238.9 -2237.4 15805.6 -2010.0 27555.6 -240.5 27541.7 -137.91 12031.6 21738.0 -2237.6 17306.0 -2009.6 29057.9 -240.5 29044.1 -138.02 13534.1 23237.1 -2237.9 18806.4 -2009.1 30600.2 -240.6 30546.5 -138.03 15036.5 24736.2 -2238.2 20306.9 -2008.6 32102.6 -240.6 32048.9 -138.04 16539.0 26235.2 -2238.4 21807.3 -2008.1 33604.9 -240.6 33551.3 -138.05 18041.5 27734.3 -2238.7 23307.7 -2007.7 35107.2 -240.7 35053.7 -138.06 19543.9 29233.4 -2238.9 24808.2 -2007.2 609.5 -240.7 556.1 -138.07 21046.4 30732.5 -2239.2 26308.6 -2006.7 2111.9 -240.8 2058.5 -138.08 22548.9 32231.6 -2239.4 27809.0 -2006.2 3614.2 -240.8 3600.9 -138.09 24051.3 33730.7 -2239.7 29309.5 -2005.7 5116.5 -240.9 5103.3 -138.010 25553.8 35229.8 -2239.9 30809.9 -2005.3 6618.9 -240.9 6605.7 -138.111 27056.3 728.8 -2240.2 32310.3 -2004.8 8121.2 -241.0 8108.2 -138.112 28558.7 2227.9 -2240.4 33810.8 -2004.3 9623.5 -241.0 9610.6 -138.113 30101.2 3727.0 -2240.7 35311.2 -2003.8 11125.8 -241.1 11113.0 -138.114 31603.7 5226.1 -2240.9 811.6 -2003.3 12628.2 -241.1 12615.4 -138.115 33106.1 6725.2 -2241.2 2312.1 -2002.8 14130.5 -241.2 14117.8 -138.116 34608.6 8224.3 -2241.4 3812.5 -2002.4 15632.8 -241.2 15620.2 -138.117 111.0 9723.3 -2241.6 5312.9 -2001.9 17135.2 -241.2 17122.6 -138.118 1613.5 11222.4 -2241.9 6813.4 -2001.4 18637.5 -241.3 18625.0 -138.119 3116.0 12721.5 -2242.1 8313.8 -2000.9 20139.8 -241.3 20127.4 -138.120 4618.4 14220.6 -2242.4 9814.2 -2000.4 21642.2 -241.4 21629.8 -138.221 6120.9 15719.7 -2242.6 11314.7 -1959.9 23144.5 -241.4 23132.2 -138.222 7623.4 17218.8 -2242.8 12815.1 -1959.5 24646.8 -241.5 24634.7 -138.223 9125.8 18717.8 -2243.1 14315.5 -1959.0 26149.2 -241.5 26137.1 -138.2Mer.pass.:16:55 v-0.9 d-0.3 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.0 m-1.9 v2.4 d-0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.1 -4224.9

Schedar 35008.8 5626.2Diphda 34920.6 -1805.7


Aldebaran 29117.5 1628.2Rigel 28135.5 -813.5



Sirius 25855.0 -1641.3Adara 25531.5 -2856.9








Atria 10821.5 -6859.4Sabik 10241.2 -1542.0


Etamin 9058.1 5129.5Kaus Aust. 8417.0 -3423.6


Peacock 5358.6 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.2Alnair 2815.1 -4703.4



Jupiter 17033.4 05:43Saturn 17015.5 05:44


Jupiter 17029.8 05:39Saturn 17013.9 05:40


Jupiter 17026.4 05:35Saturn 17012.5 05:36


4


h Sun MoonSun GHA Dec GHA Dec d HP0 17848.0 -2245.0 20740.4 11.1 -1831.8 -4.7 55.31 19347.7 -2244.8 22210.4 11.0 -1836.4 -4.6 55.42 20847.4 -2244.5 23640.4 11.0 -1841.0 -4.5 55.43 22347.2 -2244.3 25110.3 10.9 -1845.4 -4.4 55.44 23846.9 -2244.0 26540.2 10.8 -1849.7 -4.3 55.45 25346.6 -2243.7 28010.0 10.8 -1854.0 -4.2 55.46 26846.3 -2243.5 29439.8 10.7 -1858.2 -4.1 55.57 28346.0 -2243.2 30909.5 10.7 -1902.2 -4.0 55.58 29845.7 -2242.9 32339.2 10.6 -1906.2 -3.9 55.59 31345.5 -2242.7 33808.8 10.6 -1910.1 -3.8 55.510 32845.2 -2242.4 35238.3 10.5 -1913.9 -3.7 55.611 34344.9 -2242.1 707.8 10.5 -1917.6 -3.6 55.612 35844.6 -2241.9 2137.3 10.4 -1921.2 -3.6 55.613 1344.3 -2241.6 3606.7 10.4 -1924.7 -3.5 55.614 2844.0 -2241.3 5036.0 10.3 -1928.1 -3.4 55.615 4343.7 -2241.1 6505.3 10.3 -1931.4 -3.3 55.716 5843.5 -2240.8 7934.5 10.2 -1934.6 -3.2 55.717 7343.2 -2240.5 9403.7 10.2 -1937.7 -3.1 55.718 8842.9 -2240.3 10832.9 10.1 -1940.7 -3.0 55.719 10342.6 -2240.0 12302.0 10.1 -1943.6 -2.9 55.820 11842.3 -2239.7 13731.0 10.0 -1946.4 -2.8 55.821 13342.1 -2239.4 15200.0 10.0 -1949.2 -2.7 55.822 14841.8 -2239.2 16628.9 9.9 -1951.8 -2.6 55.823 16341.5 -2238.9 18057.8 9.9 -1954.3 -2.5 55.8

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

Mon GHA Dec GHA Dec d HP0 17841.2 -2238.6 19526.7 9.8 -1956.7 -2.4 55.91 19340.9 -2238.3 20955.5 9.8 -1959.0 -2.2 55.92 20840.6 -2238.1 22424.3 9.7 -2001.2 -2.1 55.93 22340.4 -2237.8 23853.0 9.7 -2003.3 -2.0 55.94 23840.1 -2237.5 25321.7 9.7 -2005.3 -1.9 56.05 25339.8 -2237.2 26750.3 9.6 -2007.1 -1.8 56.06 26839.5 -2236.9 28218.9 9.6 -2008.9 -1.7 56.07 28339.2 -2236.7 29647.4 9.5 -2010.6 -1.6 56.08 29839.0 -2236.4 31115.9 9.5 -2012.2 -1.5 56.09 31338.7 -2236.1 32544.4 9.4 -2013.6 -1.4 56.110 32838.4 -2235.8 34012.8 9.4 -2015.0 -1.3 56.111 34338.1 -2235.5 35441.2 9.4 -2016.2 -1.2 56.112 35837.8 -2235.3 909.6 9.3 -2017.3 -1.1 56.113 1337.6 -2235.0 2337.9 9.3 -2018.4 -1.0 56.214 2837.3 -2234.7 3806.1 9.3 -2019.3 -0.9 56.215 4337.0 -2234.4 5234.4 9.2 -2020.1 -0.7 56.216 5836.7 -2234.1 6702.6 9.2 -2020.8 -0.6 56.217 7336.4 -2233.8 8130.8 9.2 -2021.3 -0.5 56.318 8836.2 -2233.5 9558.9 9.1 -2021.8 -0.4 56.319 10335.9 -2233.2 11027.0 9.1 -2022.2 -0.3 56.320 11835.6 -2232.9 12455.1 9.1 -2022.4 -0.2 56.321 13335.3 -2232.6 13923.1 9.0 -2022.6 -0.1 56.422 14835.1 -2232.4 15351.1 9.0 -2022.6 0.0 56.423 16334.8 -2232.1 16819.1 9.0 -2022.5 0.1 56.4

SD.=16.3 d=0.3 S.D.=15.2

Tue GHA Dec GHA Dec d HP0 17834.5 -2231.8 18247.1 8.9 -2022.3 0.3 56.41 19334.2 -2231.5 19715.0 8.9 -2022.0 0.4 56.42 20834.0 -2231.2 21142.9 8.9 -2021.6 0.5 56.53 22333.7 -2230.9 22610.8 8.9 -2021.0 0.6 56.54 23833.4 -2230.6 24038.7 8.8 -2020.4 0.7 56.55 25333.1 -2230.3 25506.5 8.8 -2019.6 0.8 56.56 26832.8 -2230.0 26934.3 8.8 -2018.7 0.9 56.67 28332.6 -2229.7 28402.1 8.8 -2017.7 1.1 56.68 29832.3 -2229.4 29829.9 8.8 -2016.6 1.2 56.69 31332.0 -2229.1 31257.6 8.7 -2015.4 1.3 56.610 32831.7 -2228.8 32725.4 8.7 -2014.0 1.4 56.711 34331.5 -2228.5 34153.1 8.7 -2012.6 1.5 56.712 35831.2 -2228.2 35620.8 8.7 -2011.0 1.6 56.713 1330.9 -2227.9 1048.5 8.7 -2009.3 1.7 56.714 2830.6 -2227.6 2516.1 8.7 -2007.5 1.9 56.715 4330.4 -2227.3 3943.8 8.6 -2005.6 2.0 56.816 5830.1 -2227.0 5411.4 8.6 -2003.6 2.1 56.817 7329.8 -2226.6 6839.0 8.6 -2001.4 2.2 56.818 8829.6 -2226.3 8306.7 8.6 -1959.2 2.3 56.819 10329.3 -2226.0 9734.3 8.6 -1956.8 2.4 56.920 11829.0 -2225.7 11201.9 8.6 -1954.3 2.5 56.921 13328.7 -2225.4 12629.5 8.6 -1951.7 2.7 56.922 14828.5 -2225.1 14057.0 8.6 -1949.0 2.8 56.923 16328.2 -2224.8 15524.6 8.6 -1946.1 2.9 56.9

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

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

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 : : : : : :70 09:25 : : 11:30 : :68 08:25 09:45 10:38 12:30 12:57 13:5566 07:51 09:03 09:56 13:05 13:40 14:3764 07:26 08:34 09:27 13:30 14:09 15:0562 07:07 08:12 09:06 13:49 14:31 15:2760 06:51 07:54 08:48 14:06 14:48 15:4458 06:37 07:40 08:33 14:19 15:03 15:5956 06:26 07:27 08:21 14:31 15:16 16:1254 06:16 07:16 08:10 14:41 15:27 16:2252 06:07 07:06 07:60 14:51 15:37 16:3250 05:59 06:57 07:51 14:59 15:46 16:4145 05:42 06:39 07:33 15:16 16:04 16:5940 05:28 06:24 07:17 15:31 16:19 17:1435 05:16 06:11 07:05 15:43 16:32 17:2730 05:06 06:00 06:54 15:54 16:43 17:3820 04:48 05:41 06:34 16:12 17:02 17:5610 04:33 05:25 06:18 16:28 17:19 18:130 04:18 05:09 06:02 16:43 17:35 18:28-10 04:04 04:54 05:47 16:58 17:50 18:43-20 03:49 04:38 05:30 17:14 18:07 18:60-30 03:32 04:19 05:11 17:32 18:26 19:18-35 03:21 04:08 05:00 17:43 18:37 19:29-40 03:10 03:56 04:47 17:55 18:50 19:41-45 02:56 03:41 04:32 18:09 19:05 19:56-50 02:40 03:23 04:14 18:27 19:23 20:14-52 02:32 03:14 04:05 18:35 19:32 20:22-54 02:24 03:05 03:56 18:45 19:42 20:31-56 02:14 02:54 03:45 18:55 19:53 20:42-58 02:03 02:42 03:32 19:07 20:05 20:54-60 01:51 02:28 03:17 19:21 20:20 21:08



5

January 07, 08 ,09 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10628.3 20216.9 -2243.3 15816.0 -1958.5 27651.5 -241.6 27639.5 -138.21 12130.8 21716.0 -2243.5 17316.4 -1958.0 29153.8 -241.6 29141.9 -138.22 13633.2 23215.1 -2243.8 18816.8 -1957.5 30656.1 -241.6 30644.3 -138.23 15135.7 24714.2 -2244.0 20317.3 -1957.0 32158.5 -241.7 32146.7 -138.24 16638.1 26213.2 -2244.2 21817.7 -1956.5 33700.8 -241.7 33649.1 -138.25 18140.6 27712.3 -2244.5 23318.2 -1956.0 35203.1 -241.8 35151.5 -138.26 19643.1 29211.4 -2244.7 24818.6 -1955.6 705.5 -241.8 654.0 -138.37 21145.5 30710.5 -2244.9 26319.0 -1955.1 2207.8 -241.9 2156.4 -138.38 22648.0 32209.6 -2245.1 27819.5 -1954.6 3710.2 -241.9 3658.8 -138.39 24150.5 33708.6 -2245.3 29319.9 -1954.1 5212.5 -241.9 5201.2 -138.310 25652.9 35207.7 -2245.6 30820.3 -1953.6 6714.8 -242.0 6703.6 -138.311 27155.4 706.8 -2245.8 32320.8 -1953.1 8217.2 -242.0 8206.0 -138.312 28657.9 2205.9 -2246.0 33821.2 -1952.6 9719.5 -242.1 9708.4 -138.313 30200.3 3705.0 -2246.2 35321.7 -1952.1 11221.8 -242.1 11210.8 -138.314 31702.8 5204.0 -2246.4 822.1 -1951.6 12724.2 -242.2 12713.3 -138.315 33205.3 6703.1 -2246.7 2322.5 -1951.1 14226.5 -242.2 14215.7 -138.316 34707.7 8202.2 -2246.9 3823.0 -1950.6 15728.8 -242.2 15718.1 -138.317 210.2 9701.3 -2247.1 5323.4 -1950.2 17231.2 -242.3 17220.5 -138.318 1712.6 11200.4 -2247.3 6823.9 -1949.7 18733.5 -242.3 18722.9 -138.419 3215.1 12659.4 -2247.5 8324.3 -1949.2 20235.9 -242.4 20225.3 -138.420 4717.6 14158.5 -2247.7 9824.7 -1948.7 21738.2 -242.4 21727.7 -138.421 6220.0 15657.6 -2247.9 11325.2 -1948.2 23240.5 -242.5 23230.2 -138.422 7722.5 17156.7 -2248.1 12825.6 -1947.7 24742.9 -242.5 24732.6 -138.423 9225.0 18655.7 -2248.3 14326.1 -1947.2 26245.2 -242.5 26235.0 -138.4Mer.pass.:16:51 v-0.9 d-0.2 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.0 m-1.9 v2.4 d-0.0 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10727.4 20154.8 -2248.5 15826.5 -1946.7 27747.5 -242.6 27737.4 -138.41 12229.9 21653.9 -2248.7 17326.9 -1946.2 29249.9 -242.6 29239.8 -138.42 13732.4 23153.0 -2248.9 18827.4 -1945.7 30752.2 -242.7 30742.2 -138.43 15234.8 24652.1 -2249.1 20327.8 -1945.2 32254.6 -242.7 32244.6 -138.44 16737.3 26151.1 -2249.3 21828.3 -1944.7 33756.9 -242.7 33747.1 -138.45 18239.8 27650.2 -2249.5 23328.7 -1944.2 35259.2 -242.8 35249.5 -138.46 19742.2 29149.3 -2249.7 24829.1 -1943.7 801.6 -242.8 751.9 -138.57 21244.7 30648.4 -2249.9 26329.6 -1943.2 2303.9 -242.9 2254.3 -138.58 22747.1 32147.4 -2250.1 27830.0 -1942.7 3806.3 -242.9 3756.7 -138.59 24249.6 33646.5 -2250.3 29330.5 -1942.2 5308.6 -242.9 5259.1 -138.510 25752.1 35145.6 -2250.5 30830.9 -1941.7 6811.0 -243.0 6801.6 -138.511 27254.5 644.7 -2250.7 32331.3 -1941.2 8313.3 -243.0 8304.0 -138.512 28757.0 2143.7 -2250.9 33831.8 -1940.7 9815.6 -243.1 9806.4 -138.513 30259.5 3642.8 -2251.1 35332.2 -1940.2 11318.0 -243.1 11308.8 -138.514 31801.9 5141.9 -2251.3 832.7 -1939.7 12820.3 -243.1 12811.2 -138.515 33304.4 6641.0 -2251.5 2333.1 -1939.2 14322.7 -243.2 14313.6 -138.516 34806.9 8140.0 -2251.6 3833.6 -1938.7 15825.0 -243.2 15816.1 -138.517 309.3 9639.1 -2251.8 5334.0 -1938.2 17327.4 -243.3 17318.5 -138.518 1811.8 11138.2 -2252.0 6834.4 -1937.7 18829.7 -243.3 18820.9 -138.519 3314.3 12637.3 -2252.2 8334.9 -1937.2 20332.0 -243.3 20323.3 -138.520 4816.7 14136.3 -2252.4 9835.3 -1936.7 21834.4 -243.4 21825.7 -138.521 6319.2 15635.4 -2252.6 11335.8 -1936.2 23336.7 -243.4 23328.2 -138.622 7821.6 17134.5 -2252.7 12836.2 -1935.7 24839.1 -243.4 24830.6 -138.623 9324.1 18633.6 -2252.9 14336.7 -1935.2 26341.4 -243.5 26333.0 -138.6Mer.pass.:16:47 v-0.9 d-0.2 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.0 m-1.9 v2.4 d-0.0 m0.8

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10826.6 20132.6 -2253.1 15837.1 -1934.7 27843.8 -243.5 27835.4 -138.61 12329.0 21631.7 -2253.3 17337.5 -1934.2 29346.1 -243.6 29337.8 -138.62 13831.5 23130.8 -2253.4 18838.0 -1933.7 30848.5 -243.6 30840.2 -138.63 15334.0 24629.8 -2253.6 20338.4 -1933.2 32350.8 -243.6 32342.7 -138.64 16836.4 26128.9 -2253.8 21838.9 -1932.7 33853.2 -243.7 33845.1 -138.65 18338.9 27628.0 -2253.9 23339.3 -1932.2 35355.5 -243.7 35347.5 -138.66 19841.4 29127.1 -2254.1 24839.8 -1931.6 857.9 -243.8 849.9 -138.67 21343.8 30626.1 -2254.3 26340.2 -1931.1 2400.2 -243.8 2352.3 -138.68 22846.3 32125.2 -2254.5 27840.7 -1930.6 3902.6 -243.8 3854.8 -138.69 24348.7 33624.3 -2254.6 29341.1 -1930.1 5404.9 -243.9 5357.2 -138.610 25851.2 35123.3 -2254.8 30841.6 -1929.6 6907.3 -243.9 6859.6 -138.611 27353.7 622.4 -2254.9 32342.0 -1929.1 8409.6 -243.9 8402.0 -138.612 28856.1 2121.5 -2255.1 33842.5 -1928.6 9912.0 -244.0 9904.5 -138.613 30358.6 3620.6 -2255.3 35342.9 -1928.1 11414.3 -244.0 11406.9 -138.614 31901.1 5119.6 -2255.4 843.3 -1927.6 12916.7 -244.0 12909.3 -138.715 33403.5 6618.7 -2255.6 2343.8 -1927.1 14419.0 -244.1 14411.7 -138.716 34906.0 8117.8 -2255.7 3844.2 -1926.6 15921.4 -244.1 15914.1 -138.717 408.5 9616.8 -2255.9 5344.7 -1926.0 17423.7 -244.2 17416.6 -138.718 1910.9 11115.9 -2256.0 6845.1 -1925.5 18926.1 -244.2 18919.0 -138.719 3413.4 12615.0 -2256.2 8345.6 -1925.0 20428.4 -244.2 20421.4 -138.720 4915.9 14114.1 -2256.3 9846.0 -1924.5 21930.8 -244.3 21923.8 -138.721 6418.3 15613.1 -2256.5 11346.5 -1924.0 23433.1 -244.3 23426.3 -138.722 7920.8 17112.2 -2256.6 12846.9 -1923.5 24935.5 -244.3 24928.7 -138.723 9423.2 18611.3 -2256.8 14347.4 -1923.0 26437.8 -244.4 26431.1 -138.7Mer.pass.:16:43 v-0.9 d-0.2 m-3.8 v0.4 d0.5 m1.2 v2.3 d-0.0 m-1.9 v2.4 d-0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.1 -4224.9

Schedar 35008.8 5626.2Diphda 34920.6 -1805.7


Aldebaran 29117.5 1628.2Rigel 28135.5 -813.5



Sirius 25855.0 -1641.3Adara 25531.5 -2856.9








Atria 10821.4 -6859.4Sabik 10241.2 -1542.0


Etamin 9058.1 5129.4Kaus Aust. 8416.9 -3423.6


Peacock 5358.6 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.2Alnair 2815.1 -4703.4



Jupiter 17023.2 05:32Saturn 17011.2 05:32


Jupiter 17020.1 05:28Saturn 17010.0 05:29


Jupiter 17017.2 05:24Saturn 17008.8 05:25


6


h Sun MoonWed GHA Dec GHA Dec d HP0 17827.9 -2224.5 16952.2 8.6 -1943.2 3.0 57.01 19327.6 -2224.2 18419.8 8.6 -1940.1 3.1 57.02 20827.4 -2223.8 19847.3 8.6 -1936.9 3.2 57.03 22327.1 -2223.5 21314.9 8.6 -1933.6 3.4 57.04 23826.8 -2223.2 22742.4 8.6 -1930.2 3.5 57.15 25326.6 -2222.9 24210.0 8.6 -1926.7 3.6 57.16 26826.3 -2222.6 25637.5 8.6 -1923.1 3.7 57.17 28326.0 -2222.3 27105.1 8.6 -1919.3 3.8 57.18 29825.7 -2221.9 28532.7 8.6 -1915.5 3.9 57.19 31325.5 -2221.6 30000.2 8.6 -1911.5 4.0 57.210 32825.2 -2221.3 31427.8 8.6 -1907.4 4.1 57.211 34324.9 -2221.0 32855.4 8.6 -1903.2 4.3 57.212 35824.7 -2220.7 34322.9 8.6 -1858.9 4.4 57.213 1324.4 -2220.3 35750.5 8.6 -1854.5 4.5 57.314 2824.1 -2220.0 1218.1 8.6 -1849.9 4.6 57.315 4323.9 -2219.7 2645.7 8.6 -1845.3 4.7 57.316 5823.6 -2219.4 4113.3 8.6 -1840.5 4.8 57.317 7323.3 -2219.0 5540.9 8.6 -1835.6 4.9 57.318 8823.1 -2218.7 7008.5 8.6 -1830.7 5.0 57.419 10322.8 -2218.4 8436.2 8.6 -1825.6 5.1 57.420 11822.5 -2218.1 9903.8 8.6 -1820.4 5.3 57.421 13322.2 -2217.7 11331.5 8.7 -1815.1 5.4 57.422 14822.0 -2217.4 12759.1 8.7 -1809.7 5.5 57.423 16321.7 -2217.1 14226.8 8.7 -1804.1 5.6 57.5

SD.=16.3 d=0.3 S.D.=15.5

Thu GHA Dec GHA Dec d HP0 17821.4 -2216.7 15654.5 8.7 -1758.5 5.7 57.51 19321.2 -2216.4 17122.2 8.7 -1752.8 5.8 57.52 20820.9 -2216.1 18549.9 8.7 -1746.9 5.9 57.53 22320.6 -2215.7 20017.7 8.7 -1741.0 6.0 57.54 23820.4 -2215.4 21445.4 8.8 -1734.9 6.1 57.65 25320.1 -2215.1 22913.2 8.8 -1728.8 6.2 57.66 26819.9 -2214.7 24341.0 8.8 -1722.5 6.3 57.67 28319.6 -2214.4 25808.8 8.8 -1716.2 6.4 57.68 29819.3 -2214.1 27236.6 8.8 -1709.7 6.5 57.69 31319.1 -2213.7 28704.5 8.9 -1703.1 6.6 57.710 32818.8 -2213.4 30132.4 8.9 -1656.5 6.7 57.711 34318.5 -2213.0 31600.3 8.9 -1649.7 6.8 57.712 35818.3 -2212.7 33028.2 8.9 -1642.8 6.9 57.713 1318.0 -2212.4 34456.1 8.9 -1635.8 7.0 57.714 2817.7 -2212.0 35924.0 9.0 -1628.8 7.1 57.815 4317.5 -2211.7 1352.0 9.0 -1621.6 7.2 57.816 5817.2 -2211.3 2820.0 9.0 -1614.3 7.3 57.817 7316.9 -2211.0 4248.0 9.0 -1607.0 7.4 57.818 8816.7 -2210.6 5716.1 9.1 -1559.5 7.5 57.819 10316.4 -2210.3 7144.1 9.1 -1552.0 7.6 57.820 11816.2 -2209.9 8612.2 9.1 -1544.3 7.7 57.921 13315.9 -2209.6 10040.3 9.1 -1536.6 7.8 57.922 14815.6 -2209.3 11508.5 9.2 -1528.7 7.9 57.923 16315.4 -2208.9 12936.6 9.2 -1520.8 8.0 57.9

SD.=16.3 d=0.3 S.D.=15.7

Fri GHA Dec GHA Dec d HP0 17815.1 -2208.6 14404.8 9.2 -1512.8 8.1 57.91 19314.8 -2208.2 15833.0 9.2 -1504.7 8.2 58.02 20814.6 -2207.9 17301.3 9.3 -1456.5 8.2 58.03 22314.3 -2207.5 18729.5 9.3 -1448.2 8.3 58.04 23814.1 -2207.1 20157.8 9.3 -1439.8 8.4 58.05 25313.8 -2206.8 21626.1 9.3 -1431.4 8.5 58.06 26813.5 -2206.4 23054.5 9.4 -1422.8 8.6 58.07 28313.3 -2206.1 24522.9 9.4 -1414.2 8.7 58.18 29813.0 -2205.7 25951.3 9.4 -1405.4 8.8 58.19 31312.8 -2205.4 27419.7 9.4 -1356.6 8.8 58.110 32812.5 -2205.0 28848.1 9.5 -1347.8 8.9 58.111 34312.2 -2204.7 30316.6 9.5 -1338.8 9.0 58.112 35812.0 -2204.3 31745.1 9.5 -1329.7 9.1 58.113 1311.7 -2203.9 33213.6 9.5 -1320.6 9.2 58.214 2811.5 -2203.6 34642.2 9.6 -1311.4 9.3 58.215 4311.2 -2203.2 110.8 9.6 -1302.1 9.3 58.216 5811.0 -2202.9 1539.4 9.6 -1252.7 9.4 58.217 7310.7 -2202.5 3008.0 9.6 -1243.3 9.5 58.218 8810.4 -2202.1 4436.7 9.7 -1233.8 9.6 58.219 10310.2 -2201.8 5905.3 9.7 -1224.2 9.6 58.320 11809.9 -2201.4 7334.1 9.7 -1214.5 9.7 58.321 13309.7 -2201.0 8802.8 9.8 -1204.8 9.8 58.322 14809.4 -2200.7 10231.6 9.8 -1155.0 9.8 58.323 16309.2 -2200.3 11700.3 9.8 -1145.1 9.9 58.3

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

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

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 : 12:32 12:02 : 15:47 18:0670 11:55 11:43 11:36 14:31 16:34 18:3168 11:02 11:12 11:17 15:23 17:04 18:4966 10:29 10:49 11:01 15:55 17:27 19:0464 10:05 10:30 10:48 16:19 17:45 19:1662 09:46 10:15 10:37 16:38 17:59 19:2660 09:30 10:03 10:27 16:53 18:11 19:3558 09:17 09:52 10:19 17:06 18:22 19:4256 09:05 09:42 10:11 17:17 18:31 19:4954 08:55 09:33 10:05 17:27 18:39 19:5552 08:46 09:26 09:59 17:36 18:46 20:0050 08:38 09:19 09:54 17:44 18:53 20:0545 08:21 09:04 09:42 18:00 19:06 20:1640 08:07 08:52 09:32 18:14 19:18 20:2435 07:55 08:41 09:24 18:26 19:28 20:3130 07:44 08:32 09:17 18:36 19:36 20:3820 07:26 08:17 09:04 18:53 19:51 20:4910 07:11 08:03 08:53 19:08 20:03 20:590 06:56 07:50 08:43 19:22 20:15 21:08-10 06:41 07:37 08:32 19:36 20:27 21:16-20 06:26 07:23 08:21 19:51 20:39 21:26-30 06:08 07:07 08:08 20:07 20:54 21:37-35 05:57 06:58 08:01 20:17 21:02 21:43-40 05:45 06:47 07:52 20:28 21:11 21:50-45 05:31 06:35 07:42 20:42 21:22 21:58-50 05:13 06:19 07:30 20:57 21:35 22:07-52 05:05 06:12 07:25 21:05 21:41 22:12-54 04:56 06:04 07:19 21:13 21:48 22:17-56 04:46 05:56 07:12 21:22 21:55 22:22-58 04:34 05:46 07:04 21:33 22:04 22:28-60 04:20 05:34 06:55 21:45 22:13 22:35



7

January 10, 11 ,12 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10925.7 20110.3 -2256.9 15847.8 -1922.5 27940.2 -244.4 27933.5 -138.71 12428.2 21609.4 -2257.1 17348.3 -1921.9 29442.5 -244.4 29435.9 -138.72 13930.6 23108.5 -2257.2 18848.7 -1921.4 30944.9 -244.5 30938.4 -138.73 15433.1 24607.5 -2257.4 20349.2 -1920.9 32447.2 -244.5 32440.8 -138.74 16935.6 26106.6 -2257.5 21849.6 -1920.4 33949.6 -244.5 33943.2 -138.75 18438.0 27605.7 -2257.7 23350.1 -1919.9 35451.9 -244.6 35445.6 -138.76 19940.5 29104.8 -2257.8 24850.5 -1919.4 954.3 -244.6 948.1 -138.77 21443.0 30603.8 -2257.9 26351.0 -1918.9 2456.7 -244.6 2450.5 -138.78 22945.4 32102.9 -2258.1 27851.4 -1918.3 3959.0 -244.7 3952.9 -138.79 24447.9 33602.0 -2258.2 29351.9 -1917.8 5501.4 -244.7 5455.3 -138.710 25950.4 35101.0 -2258.3 30852.3 -1917.3 7003.7 -244.7 6957.8 -138.711 27452.8 600.1 -2258.5 32352.8 -1916.8 8506.1 -244.8 8500.2 -138.712 28955.3 2059.2 -2258.6 33853.2 -1916.3 10008.4 -244.8 10002.6 -138.713 30457.7 3558.2 -2258.7 35353.7 -1915.8 11510.8 -244.8 11505.0 -138.814 32000.2 5057.3 -2258.9 854.1 -1915.2 13013.1 -244.9 13007.5 -138.815 33502.7 6556.4 -2259.0 2354.6 -1914.7 14515.5 -244.9 14509.9 -138.816 35005.1 8055.4 -2259.1 3855.0 -1914.2 16017.9 -244.9 16012.3 -138.817 507.6 9554.5 -2259.3 5355.5 -1913.7 17520.2 -245.0 17514.7 -138.818 2010.1 11053.6 -2259.4 6855.9 -1913.2 19022.6 -245.0 19017.2 -138.819 3512.5 12552.6 -2259.5 8356.4 -1912.6 20524.9 -245.0 20519.6 -138.820 5015.0 14051.7 -2259.6 9856.8 -1912.1 22027.3 -245.1 22022.0 -138.821 6517.5 15550.8 -2259.7 11357.3 -1911.6 23529.7 -245.1 23524.5 -138.822 8019.9 17049.8 -2259.9 12857.7 -1911.1 25032.0 -245.1 25026.9 -138.823 9522.4 18548.9 -2260.0 14358.2 -1910.5 26534.4 -245.2 26529.3 -138.8Mer.pass.:16:39 v-0.9 d-0.1 m-3.8 v0.4 d0.5 m1.2 v2.4 d-0.0 m-1.9 v2.4 d-0.0 m0.8

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11024.8 20048.0 -2300.1 15858.6 -1910.0 28036.7 -245.2 28031.7 -138.81 12527.3 21547.0 -2300.2 17359.1 -1909.5 29539.1 -245.2 29534.2 -138.82 14029.8 23046.1 -2300.3 18859.5 -1909.0 31041.5 -245.3 31036.6 -138.83 15532.2 24545.2 -2300.4 20360.0 -1908.5 32543.8 -245.3 32539.0 -138.84 17034.7 26044.2 -2300.6 21900.5 -1907.9 34046.2 -245.3 34041.4 -138.85 18537.2 27543.3 -2300.7 23400.9 -1907.4 35548.5 -245.4 35543.9 -138.86 20039.6 29042.4 -2300.8 24901.4 -1906.9 1050.9 -245.4 1046.3 -138.87 21542.1 30541.4 -2300.9 26401.8 -1906.4 2553.3 -245.4 2548.7 -138.88 23044.6 32040.5 -2301.0 27902.3 -1905.8 4055.6 -245.5 4051.2 -138.89 24547.0 33539.6 -2301.1 29402.7 -1905.3 5558.0 -245.5 5553.6 -138.810 26049.5 35038.6 -2301.2 30903.2 -1904.8 7100.4 -245.5 7056.0 -138.811 27552.0 537.7 -2301.3 32403.6 -1904.3 8602.7 -245.6 8558.4 -138.812 29054.4 2036.8 -2301.4 33904.1 -1903.7 10105.1 -245.6 10100.9 -138.813 30556.9 3535.8 -2301.5 35404.5 -1903.2 11607.4 -245.6 11603.3 -138.814 32059.3 5034.9 -2301.6 905.0 -1902.7 13109.8 -245.6 13105.7 -138.815 33601.8 6534.0 -2301.7 2405.5 -1902.1 14612.2 -245.7 14608.2 -138.816 35104.3 8033.0 -2301.8 3905.9 -1901.6 16114.5 -245.7 16110.6 -138.817 606.7 9532.1 -2301.9 5406.4 -1901.1 17616.9 -245.7 17613.0 -138.818 2109.2 11031.2 -2302.0 6906.8 -1900.6 19119.3 -245.8 19115.5 -138.819 3611.7 12530.2 -2302.1 8407.3 -1900.0 20621.6 -245.8 20617.9 -138.820 5114.1 14029.3 -2302.2 9907.7 -1859.5 22124.0 -245.8 22120.3 -138.821 6616.6 15528.4 -2302.3 11408.2 -1859.0 23626.4 -245.9 23622.7 -138.822 8119.1 17027.4 -2302.4 12908.6 -1858.4 25128.7 -245.9 25125.2 -138.823 9621.5 18526.5 -2302.5 14409.1 -1857.9 26631.1 -245.9 26627.6 -138.8Mer.pass.:16:35 v-0.9 d-0.1 m-3.8 v0.5 d0.5 m1.2 v2.4 d-0.0 m-1.9 v2.4 d-0.0 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11124.0 20025.5 -2302.6 15909.6 -1857.4 28133.5 -245.9 28130.0 -138.81 12626.5 21524.6 -2302.6 17410.0 -1856.9 29635.8 -246.0 29632.5 -138.82 14128.9 23023.7 -2302.7 18910.5 -1856.3 31138.2 -246.0 31134.9 -138.83 15631.4 24522.7 -2302.8 20410.9 -1855.8 32640.6 -246.0 32637.3 -138.84 17133.8 26021.8 -2302.9 21911.4 -1855.3 34142.9 -246.1 34139.8 -138.85 18636.3 27520.9 -2303.0 23411.8 -1854.7 35645.3 -246.1 35642.2 -138.86 20138.8 29019.9 -2303.1 24912.3 -1854.2 1147.7 -246.1 1144.6 -138.87 21641.2 30519.0 -2303.1 26412.8 -1853.7 2650.0 -246.1 2647.1 -138.88 23143.7 32018.1 -2303.2 27913.2 -1853.1 4152.4 -246.2 4149.5 -138.89 24646.2 33517.1 -2303.3 29413.7 -1852.6 5654.8 -246.2 5651.9 -138.810 26148.6 35016.2 -2303.4 30914.1 -1852.1 7157.2 -246.2 7154.4 -138.811 27651.1 515.3 -2303.4 32414.6 -1851.5 8659.5 -246.3 8656.8 -138.812 29153.6 2014.3 -2303.5 33915.1 -1851.0 10201.9 -246.3 10159.2 -138.813 30656.0 3513.4 -2303.6 35415.5 -1850.4 11704.3 -246.3 11701.7 -138.814 32158.5 5012.4 -2303.7 916.0 -1849.9 13206.6 -246.3 13204.1 -138.815 33700.9 6511.5 -2303.7 2416.4 -1849.4 14709.0 -246.4 14706.5 -138.816 35203.4 8010.6 -2303.8 3916.9 -1848.8 16211.4 -246.4 16209.0 -138.817 705.9 9509.6 -2303.9 5417.4 -1848.3 17713.8 -246.4 17711.4 -138.818 2208.3 11008.7 -2303.9 6917.8 -1847.8 19216.1 -246.4 19213.8 -138.819 3710.8 12507.8 -2304.0 8418.3 -1847.2 20718.5 -246.5 20716.3 -138.820 5213.3 14006.8 -2304.1 9918.7 -1846.7 22220.9 -246.5 22218.7 -138.821 6715.7 15505.9 -2304.1 11419.2 -1846.1 23723.2 -246.5 23721.1 -138.822 8218.2 17004.9 -2304.2 12919.7 -1845.6 25225.6 -246.5 25223.6 -138.823 9720.7 18504.0 -2304.2 14420.1 -1845.1 26728.0 -246.6 26726.0 -138.8Mer.pass.:16:31 v-0.9 d-0.1 m-3.8 v0.5 d0.5 m1.2 v2.4 d-0.0 m-1.9 v2.4 d-0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.1 -4224.9

Schedar 35008.8 5626.2Diphda 34920.6 -1805.7


Aldebaran 29117.5 1628.2Rigel 28135.5 -813.6



Sirius 25855.0 -1641.3Adara 25531.5 -2856.9








Atria 10821.4 -6859.4Sabik 10241.2 -1542.0


Etamin 9058.1 5129.4Kaus Aust. 8416.9 -3423.6


Peacock 5358.6 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.2Alnair 2815.1 -4703.4



Jupiter 17014.5 05:20Saturn 17007.8 05:21


Jupiter 17011.9 05:17Saturn 17006.9 05:17


Jupiter 17009.5 05:13Saturn 17006.1 05:13


8


h Sun MoonSat GHA Dec GHA Dec d HP0 17808.9 -2159.9 13129.2 9.8 -1135.1 10.0 58.31 19308.7 -2159.6 14558.0 9.9 -1125.1 10.1 58.32 20808.4 -2159.2 16026.9 9.9 -1115.0 10.1 58.43 22308.1 -2158.8 17455.8 9.9 -1104.8 10.2 58.44 23807.9 -2158.5 18924.7 9.9 -1054.6 10.3 58.45 25307.6 -2158.1 20353.6 10.0 -1044.3 10.3 58.46 26807.4 -2157.7 21822.6 10.0 -1034.0 10.4 58.47 28307.1 -2157.3 23251.6 10.0 -1023.6 10.4 58.48 29806.9 -2157.0 24720.6 10.0 -1013.1 10.5 58.49 31306.6 -2156.6 26149.6 10.0 -1002.5 10.6 58.510 32806.4 -2156.2 27618.7 10.1 -951.9 10.6 58.511 34306.1 -2155.9 29047.8 10.1 -941.3 10.7 58.512 35805.9 -2155.5 30516.9 10.1 -930.6 10.7 58.513 1305.6 -2155.1 31946.0 10.1 -919.8 10.8 58.514 2805.4 -2154.7 33415.1 10.2 -909.0 10.9 58.515 4305.1 -2154.3 34844.3 10.2 -858.1 10.9 58.516 5804.9 -2154.0 313.5 10.2 -847.2 11.0 58.617 7304.6 -2153.6 1742.7 10.2 -836.2 11.0 58.618 8804.4 -2153.2 3211.9 10.2 -825.1 11.1 58.619 10304.1 -2152.8 4641.2 10.3 -814.0 11.1 58.620 11803.9 -2152.4 6110.4 10.3 -802.9 11.2 58.621 13303.6 -2152.1 7539.7 10.3 -751.7 11.2 58.622 14803.4 -2151.7 9009.0 10.3 -740.5 11.3 58.623 16303.1 -2151.3 10438.4 10.3 -729.2 11.3 58.6

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

Sun GHA Dec GHA Dec d HP0 17802.9 -2150.9 11907.7 10.3 -717.9 11.3 58.71 19302.6 -2150.5 13337.1 10.4 -706.5 11.4 58.72 20802.4 -2150.1 14806.4 10.4 -655.1 11.4 58.73 22302.1 -2149.7 16235.8 10.4 -643.6 11.5 58.74 23801.9 -2149.4 17705.2 10.4 -632.1 11.5 58.75 25301.6 -2149.0 19134.6 10.4 -620.6 11.6 58.76 26801.4 -2148.6 20604.1 10.4 -609.0 11.6 58.77 28301.1 -2148.2 22033.5 10.4 -557.4 11.6 58.78 29800.9 -2147.8 23502.9 10.5 -545.8 11.7 58.89 31300.6 -2147.4 24932.4 10.5 -534.1 11.7 58.810 32800.4 -2147.0 26401.9 10.5 -522.4 11.7 58.811 34300.1 -2146.6 27831.4 10.5 -510.6 11.8 58.812 35759.9 -2146.2 29300.9 10.5 -458.8 11.8 58.813 1259.6 -2145.8 30730.4 10.5 -447.0 11.8 58.814 2759.4 -2145.4 32159.9 10.5 -435.2 11.9 58.815 4259.1 -2145.0 33629.4 10.5 -423.3 11.9 58.816 5758.9 -2144.6 35059.0 10.5 -411.4 11.9 58.817 7258.7 -2144.2 528.5 10.5 -359.5 11.9 58.918 8758.4 -2143.8 1958.0 10.5 -347.5 12.0 58.919 10258.2 -2143.4 3427.6 10.6 -335.5 12.0 58.920 11757.9 -2143.0 4857.1 10.6 -323.5 12.0 58.921 13257.7 -2142.6 6326.7 10.6 -311.5 12.0 58.922 14757.4 -2142.2 7756.3 10.6 -259.5 12.1 58.923 16257.2 -2141.8 9225.8 10.6 -247.4 12.1 58.9

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

Mon GHA Dec GHA Dec d HP0 17756.9 -2141.4 10655.4 10.6 -235.3 12.1 58.91 19256.7 -2141.0 12125.0 10.6 -223.2 12.1 58.92 20756.5 -2140.6 13554.5 10.6 -211.1 12.1 58.93 22256.2 -2140.2 15024.1 10.6 -159.0 12.1 59.04 23756.0 -2139.8 16453.7 10.6 -146.8 12.2 59.05 25255.7 -2139.4 17923.2 10.6 -134.7 12.2 59.06 26755.5 -2139.0 19352.8 10.6 -122.5 12.2 59.07 28255.3 -2138.6 20822.4 10.6 -110.3 12.2 59.08 29755.0 -2138.2 22251.9 10.6 -058.1 12.2 59.09 31254.8 -2137.8 23721.5 10.5 -045.9 12.2 59.010 32754.5 -2137.4 25151.0 10.5 -033.7 12.2 59.011 34254.3 -2137.0 26620.5 10.5 -021.5 12.2 59.012 35754.1 -2136.5 28050.1 10.5 -009.3 12.2 59.013 1253.8 -2136.1 29519.6 10.5 002.9 12.2 59.014 2753.6 -2135.7 30949.1 10.5 015.2 12.2 59.015 4253.3 -2135.3 32418.6 10.5 027.4 12.2 59.116 5753.1 -2134.9 33848.1 10.5 039.6 12.2 59.117 7252.9 -2134.5 35317.6 10.5 051.8 12.2 59.118 8752.6 -2134.1 747.1 10.5 104.1 12.2 59.119 10252.4 -2133.6 2216.5 10.5 116.3 12.2 59.120 11752.1 -2133.2 3646.0 10.4 128.5 12.2 59.121 13251.9 -2132.8 5115.4 10.4 140.7 12.2 59.122 14751.7 -2132.4 6544.9 10.4 152.9 12.2 59.123 16251.4 -2132.0 8014.3 10.4 205.1 12.2 59.1

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

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

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 11:45 11:32 11:21 20:11 22:10 :70 11:30 11:25 11:20 20:24 22:15 :68 11:18 11:19 11:20 20:34 22:18 :66 11:09 11:14 11:19 20:42 22:21 :64 11:00 11:10 11:19 20:50 22:24 23:5862 10:53 11:06 11:19 20:56 22:26 23:5760 10:47 11:03 11:18 21:01 22:28 23:5658 10:41 11:00 11:18 21:05 22:30 23:5456 10:36 10:58 11:18 21:10 22:31 23:5354 10:32 10:55 11:18 21:13 22:32 23:5252 10:28 10:53 11:18 21:17 22:34 23:5150 10:24 10:51 11:18 21:20 22:35 23:5145 10:16 10:47 11:17 21:26 22:37 23:4940 10:09 10:44 11:17 21:31 22:39 23:4735 10:04 10:41 11:17 21:36 22:41 23:4630 09:58 10:38 11:17 21:40 22:42 23:4520 09:50 10:33 11:16 21:47 22:45 23:4310 09:42 10:29 11:16 21:53 22:47 23:410 09:34 10:25 11:16 21:59 22:49 23:40-10 09:27 10:21 11:16 22:04 22:51 23:38-20 09:19 10:17 11:15 22:10 22:54 23:36-30 09:10 10:13 11:15 22:17 22:56 23:34-35 09:05 10:10 11:15 22:21 22:57 23:33-40 08:59 10:07 11:15 22:25 22:59 23:32-45 08:52 10:03 11:15 22:30 23:01 23:30-50 08:44 09:59 11:15 22:36 23:03 23:29-52 08:40 09:57 11:14 22:39 23:04 23:28-54 08:36 09:55 11:14 22:42 23:05 23:27-56 08:31 09:52 11:14 22:45 23:06 23:26-58 08:26 09:50 11:14 22:49 23:07 23:25-60 08:20 09:47 11:14 22:53 23:09 23:24



9

January 13, 14 ,15 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11223.1 20003.1 -2304.3 15920.6 -1844.5 28230.4 -246.6 28228.5 -138.81 12725.6 21502.1 -2304.4 17421.0 -1844.0 29732.7 -246.6 29730.9 -138.82 14228.1 23001.2 -2304.4 18921.5 -1843.5 31235.1 -246.7 31233.3 -138.83 15730.5 24500.3 -2304.5 20422.0 -1842.9 32737.5 -246.7 32735.8 -138.84 17233.0 25959.3 -2304.5 21922.4 -1842.4 34239.9 -246.7 34238.2 -138.85 18735.4 27458.4 -2304.6 23422.9 -1841.8 35742.2 -246.7 35740.6 -138.86 20237.9 28957.5 -2304.6 24923.4 -1841.3 1244.6 -246.8 1243.1 -138.87 21740.4 30456.5 -2304.7 26423.8 -1840.7 2747.0 -246.8 2745.5 -138.88 23242.8 31955.6 -2304.7 27924.3 -1840.2 4249.4 -246.8 4247.9 -138.89 24745.3 33454.6 -2304.8 29424.8 -1839.7 5751.8 -246.8 5750.4 -138.810 26247.8 34953.7 -2304.8 30925.2 -1839.1 7254.1 -246.9 7252.8 -138.811 27750.2 452.8 -2304.9 32425.7 -1838.6 8756.5 -246.9 8755.3 -138.812 29252.7 1951.8 -2304.9 33926.1 -1838.0 10258.9 -246.9 10257.7 -138.813 30755.2 3450.9 -2305.0 35426.6 -1837.5 11801.3 -246.9 11800.1 -138.814 32257.6 4950.0 -2305.0 927.1 -1836.9 13303.6 -247.0 13302.6 -138.815 33800.1 6449.0 -2305.0 2427.5 -1836.4 14806.0 -247.0 14805.0 -138.816 35302.6 7948.1 -2305.1 3928.0 -1835.9 16308.4 -247.0 16307.5 -138.817 805.0 9447.1 -2305.1 5428.5 -1835.3 17810.8 -247.0 17809.9 -138.818 2307.5 10946.2 -2305.2 6928.9 -1834.8 19313.2 -247.0 19312.3 -138.819 3809.9 12445.3 -2305.2 8429.4 -1834.2 20815.5 -247.1 20814.8 -138.820 5312.4 13944.3 -2305.2 9929.9 -1833.7 22317.9 -247.1 22317.2 -138.821 6814.9 15443.4 -2305.3 11430.3 -1833.1 23820.3 -247.1 23819.6 -138.822 8317.3 16942.4 -2305.3 12930.8 -1832.6 25322.7 -247.1 25322.1 -138.823 9819.8 18441.5 -2305.3 14431.3 -1832.0 26825.1 -247.2 26824.5 -138.8Mer.pass.:16:27 v-0.9 d-0.1 m-3.8 v0.5 d0.5 m1.2 v2.4 d-0.0 m-2.0 v2.4 d0.0 m0.8

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11322.3 19940.6 -2305.4 15931.7 -1831.5 28327.4 -247.2 28327.0 -138.81 12824.7 21439.6 -2305.4 17432.2 -1830.9 29829.8 -247.2 29829.4 -138.82 14327.2 22938.7 -2305.4 18932.7 -1830.4 31332.2 -247.2 31331.8 -138.83 15829.7 24437.8 -2305.4 20433.1 -1829.8 32834.6 -247.3 32834.3 -138.84 17332.1 25936.8 -2305.5 21933.6 -1829.3 34337.0 -247.3 34336.7 -138.85 18834.6 27435.9 -2305.5 23434.1 -1828.7 35839.4 -247.3 35839.2 -138.86 20337.0 28934.9 -2305.5 24934.5 -1828.2 1341.7 -247.3 1341.6 -138.87 21839.5 30434.0 -2305.5 26435.0 -1827.6 2844.1 -247.3 2844.1 -138.88 23342.0 31933.1 -2305.5 27935.5 -1827.1 4346.5 -247.4 4346.5 -138.89 24844.4 33432.1 -2305.6 29435.9 -1826.5 5848.9 -247.4 5848.9 -138.710 26346.9 34931.2 -2305.6 30936.4 -1826.0 7351.3 -247.4 7351.4 -138.711 27849.4 430.3 -2305.6 32436.9 -1825.4 8853.7 -247.4 8853.8 -138.712 29351.8 1929.3 -2305.6 33937.3 -1824.9 10356.0 -247.5 10356.3 -138.713 30854.3 3428.4 -2305.6 35437.8 -1824.3 11858.4 -247.5 11858.7 -138.714 32356.8 4927.4 -2305.6 938.3 -1823.8 13400.8 -247.5 13401.1 -138.715 33859.2 6426.5 -2305.6 2438.7 -1823.2 14903.2 -247.5 14903.6 -138.716 35401.7 7925.6 -2305.7 3939.2 -1822.7 16405.6 -247.5 16406.0 -138.717 904.2 9424.6 -2305.7 5439.7 -1822.1 17908.0 -247.6 17908.5 -138.718 2406.6 10923.7 -2305.7 6940.1 -1821.6 19410.4 -247.6 19410.9 -138.719 3909.1 12422.7 -2305.7 8440.6 -1821.0 20912.7 -247.6 20913.4 -138.720 5411.5 13921.8 -2305.7 9941.1 -1820.4 22415.1 -247.6 22415.8 -138.721 6914.0 15420.9 -2305.7 11441.6 -1819.9 23917.5 -247.6 23918.2 -138.722 8416.5 16919.9 -2305.7 12942.0 -1819.3 25419.9 -247.7 25420.7 -138.723 9918.9 18419.0 -2305.7 14442.5 -1818.8 26922.3 -247.7 26923.1 -138.7Mer.pass.:16:23 v-0.9 d-0.0 m-3.8 v0.5 d0.5 m1.2 v2.4 d-0.0 m-2.0 v2.4 d0.0 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11421.4 19918.1 -2305.7 15943.0 -1818.2 28424.7 -247.7 28425.6 -138.71 12923.9 21417.1 -2305.7 17443.4 -1817.7 29927.1 -247.7 29928.0 -138.72 14426.3 22916.2 -2305.7 18943.9 -1817.1 31429.5 -247.7 31430.5 -138.73 15928.8 24415.2 -2305.7 20444.4 -1816.6 32931.8 -247.8 32932.9 -138.74 17431.3 25914.3 -2305.7 21944.9 -1816.0 34434.2 -247.8 34435.4 -138.75 18933.7 27413.4 -2305.7 23445.3 -1815.4 35936.6 -247.8 35937.8 -138.76 20436.2 28912.4 -2305.7 24945.8 -1814.9 1439.0 -247.8 1440.2 -138.77 21938.7 30411.5 -2305.7 26446.3 -1814.3 2941.4 -247.8 2942.7 -138.78 23441.1 31910.5 -2305.6 27946.7 -1813.8 4443.8 -247.9 4445.1 -138.79 24943.6 33409.6 -2305.6 29447.2 -1813.2 5946.2 -247.9 5947.6 -138.610 26446.0 34908.7 -2305.6 30947.7 -1812.6 7448.6 -247.9 7450.0 -138.611 27948.5 407.7 -2305.6 32448.2 -1812.1 8951.0 -247.9 8952.5 -138.612 29451.0 1906.8 -2305.6 33948.6 -1811.5 10453.4 -247.9 10454.9 -138.613 30953.4 3405.9 -2305.6 35449.1 -1811.0 11955.8 -247.9 11957.4 -138.614 32455.9 4904.9 -2305.6 949.6 -1810.4 13458.1 -248.0 13459.8 -138.615 33958.4 6404.0 -2305.5 2450.0 -1809.8 15000.5 -248.0 15002.3 -138.616 35500.8 7903.0 -2305.5 3950.5 -1809.3 16502.9 -248.0 16504.7 -138.617 1003.3 9402.1 -2305.5 5451.0 -1808.7 18005.3 -248.0 18007.2 -138.618 2505.8 10901.2 -2305.5 6951.5 -1808.2 19507.7 -248.0 19509.6 -138.619 4008.2 12400.2 -2305.5 8451.9 -1807.6 21010.1 -248.1 21012.0 -138.620 5510.7 13859.3 -2305.4 9952.4 -1807.0 22512.5 -248.1 22514.5 -138.621 7013.1 15358.4 -2305.4 11452.9 -1806.5 24014.9 -248.1 24016.9 -138.622 8515.6 16857.4 -2305.4 12953.4 -1805.9 25517.3 -248.1 25519.4 -138.623 10018.1 18356.5 -2305.3 14453.8 -1805.3 27019.7 -248.1 27021.8 -138.6Mer.pass.:16:19 v-0.9 d0.0 m-3.8 v0.5 d0.6 m1.2 v2.4 d-0.0 m-2.0 v2.4 d0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.1 -4224.9

Schedar 35008.8 5626.2Diphda 34920.6 -1805.7


Aldebaran 29117.5 1628.2Rigel 28135.5 -813.6



Sirius 25855.0 -1641.3Adara 25531.5 -2856.9








Atria 10821.3 -6859.4Sabik 10241.1 -1542.0


Etamin 9058.1 5129.4Kaus Aust. 8416.9 -3423.6


Peacock 5358.6 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.2Alnair 2815.1 -4703.4



Jupiter 17007.2 05:09Saturn 17005.3 05:09


Jupiter 17005.2 05:05Saturn 17004.7 05:05


Jupiter 17003.3 05:02Saturn 17004.2 05:01


10


h Sun MoonTue GHA Dec GHA Dec d HP0 17751.2 -2131.6 9443.7 10.4 217.3 12.2 59.11 19251.0 -2131.1 10913.0 10.4 229.5 12.2 59.12 20750.7 -2130.7 12342.4 10.3 241.6 12.2 59.13 22250.5 -2130.3 13811.7 10.3 253.8 12.1 59.14 23750.3 -2129.9 15241.0 10.3 305.9 12.1 59.25 25250.0 -2129.4 16710.3 10.3 318.1 12.1 59.26 26749.8 -2129.0 18139.6 10.3 330.2 12.1 59.27 28249.6 -2128.6 19608.9 10.2 342.3 12.1 59.28 29749.3 -2128.2 21038.1 10.2 354.3 12.1 59.29 31249.1 -2127.7 22507.3 10.2 406.4 12.0 59.210 32748.9 -2127.3 23936.5 10.2 418.4 12.0 59.211 34248.6 -2126.9 25405.7 10.2 430.5 12.0 59.212 35748.4 -2126.5 26834.8 10.1 442.4 12.0 59.213 1248.2 -2126.0 28303.9 10.1 454.4 12.0 59.214 2747.9 -2125.6 29733.0 10.1 506.3 11.9 59.215 4247.7 -2125.2 31202.1 10.0 518.3 11.9 59.216 5747.5 -2124.7 32631.1 10.0 530.2 11.9 59.217 7247.2 -2124.3 34100.1 10.0 542.0 11.8 59.218 8747.0 -2123.9 35529.1 10.0 553.8 11.8 59.219 10246.8 -2123.4 958.0 9.9 605.6 11.8 59.220 11746.5 -2123.0 2427.0 9.9 617.4 11.7 59.221 13246.3 -2122.6 3855.8 9.9 629.1 11.7 59.222 14746.1 -2122.1 5324.7 9.8 640.8 11.7 59.323 16245.8 -2121.7 6753.5 9.8 652.5 11.6 59.3

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

Wed GHA Dec GHA Dec d HP0 17745.6 -2121.2 8222.3 9.8 704.1 11.6 59.31 19245.4 -2120.8 9651.1 9.7 715.7 11.6 59.32 20745.2 -2120.4 11119.8 9.7 727.2 11.5 59.33 22244.9 -2119.9 12548.5 9.7 738.7 11.5 59.34 23744.7 -2119.5 14017.1 9.6 750.2 11.4 59.35 25244.5 -2119.1 15445.7 9.6 801.6 11.4 59.36 26744.2 -2118.6 16914.3 9.6 813.0 11.4 59.37 28244.0 -2118.2 18342.8 9.5 824.3 11.3 59.38 29743.8 -2117.7 19811.3 9.5 835.6 11.3 59.39 31243.6 -2117.3 21239.8 9.4 846.8 11.2 59.310 32743.3 -2116.8 22708.2 9.4 858.0 11.2 59.311 34243.1 -2116.4 24136.6 9.4 909.2 11.1 59.312 35742.9 -2115.9 25605.0 9.3 920.2 11.1 59.313 1242.7 -2115.5 27033.3 9.3 931.3 11.0 59.314 2742.4 -2115.0 28501.5 9.2 942.2 10.9 59.315 4242.2 -2114.6 29929.8 9.2 953.2 10.9 59.316 5742.0 -2114.2 31358.0 9.2 1004.0 10.8 59.317 7241.8 -2113.7 32826.1 9.1 1014.8 10.8 59.318 8741.5 -2113.3 34254.2 9.1 1025.6 10.7 59.319 10241.3 -2112.8 35722.3 9.0 1036.3 10.7 59.320 11741.1 -2112.4 1150.3 9.0 1046.9 10.6 59.321 13240.9 -2111.9 2618.2 8.9 1057.5 10.5 59.322 14740.6 -2111.4 4046.2 8.9 1107.9 10.5 59.323 16240.4 -2111.0 5514.0 8.9 1118.4 10.4 59.3

SD.=16.3 d=0.4 S.D.=16.2

Thu GHA Dec GHA Dec d HP0 17740.2 -2110.5 6941.9 8.8 1128.7 10.3 59.31 19240.0 -2110.1 8409.7 8.8 1139.0 10.3 59.32 20739.7 -2109.6 9837.4 8.7 1149.3 10.2 59.33 22239.5 -2109.2 11305.1 8.7 1159.4 10.1 59.34 23739.3 -2108.7 12732.8 8.6 1209.5 10.1 59.35 25239.1 -2108.3 14200.4 8.6 1219.6 10.0 59.36 26738.9 -2107.8 15628.0 8.5 1229.5 9.9 59.37 28238.6 -2107.3 17055.5 8.5 1239.4 9.8 59.38 29738.4 -2106.9 18523.0 8.4 1249.2 9.8 59.39 31238.2 -2106.4 19950.4 8.4 1258.9 9.7 59.310 32738.0 -2106.0 21417.8 8.4 1308.5 9.6 59.311 34237.8 -2105.5 22845.1 8.3 1318.1 9.5 59.312 35737.5 -2105.0 24312.4 8.3 1327.6 9.4 59.313 1237.3 -2104.6 25739.6 8.2 1337.0 9.4 59.314 2737.1 -2104.1 27206.8 8.2 1346.3 9.3 59.315 4236.9 -2103.6 28634.0 8.1 1355.5 9.2 59.316 5736.7 -2103.2 30101.1 8.1 1404.7 9.1 59.317 7236.5 -2102.7 31528.1 8.0 1413.7 9.0 59.318 8736.2 -2102.2 32955.1 8.0 1422.7 8.9 59.319 10236.0 -2101.8 34422.1 7.9 1431.6 8.8 59.320 11735.8 -2101.3 35849.0 7.9 1440.4 8.8 59.321 13235.6 -2100.8 1315.8 7.8 1449.1 8.7 59.322 14735.4 -2100.4 2742.7 7.8 1457.7 8.6 59.323 16235.2 -2059.9 4209.4 7.8 1506.2 8.5 59.3

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

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:03 09:56 : : 14:23 16:1670 07:48 09:21 : : 14:58 16:3168 07:36 08:56 10:38 13:41 15:23 16:4366 07:25 08:36 09:56 14:23 15:42 16:5464 07:17 08:21 09:28 14:51 15:58 17:0262 07:09 08:08 09:07 15:12 16:11 17:1060 07:02 07:56 08:49 15:29 16:23 17:1758 06:56 07:46 08:35 15:44 16:32 17:2356 06:50 07:38 08:23 15:56 16:41 17:2854 06:45 07:30 08:12 16:07 16:49 17:3452 06:41 07:23 08:02 16:17 16:56 17:3850 06:36 07:17 07:54 16:25 17:02 17:4345 06:26 07:03 07:35 16:43 17:16 17:5240 06:17 06:51 07:21 16:58 17:28 18:0135 06:09 06:40 07:08 17:11 17:38 18:0930 06:02 06:31 06:57 17:22 17:47 18:1720 05:47 06:14 06:38 17:41 18:04 18:3110 05:33 05:59 06:21 17:57 18:20 18:460 05:17 05:43 06:05 18:13 18:35 19:01-10 05:00 05:27 05:50 18:29 18:51 19:18-20 04:40 05:08 05:33 18:46 19:10 19:38-30 04:13 04:46 05:13 19:05 19:32 20:04-35 03:57 04:32 05:01 19:17 19:46 20:21-40 03:36 04:16 04:48 19:30 20:02 20:42-45 03:09 03:56 04:32 19:46 20:22 21:08-50 02:32 03:30 04:12 20:06 20:47 21:45-52 02:11 03:17 04:02 20:15 21:00 22:06-54 01:43 03:02 03:52 20:26 21:15 22:33-56 00:57 02:44 03:40 20:38 21:33 23:16-58 : 02:22 03:26 20:52 21:54 :-60 : 01:52 03:09 21:08 22:24 :

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 11:09 10:57 10:41 00:08 02:08 04:1570 11:15 11:10 11:05 00:05 01:57 03:5268 11:20 11:21 11:24 00:02 01:48 03:3566 11:24 11:30 11:39 00:00 01:40 03:2164 11:28 11:38 11:51 : 01:34 03:1062 11:31 11:45 12:02 : 01:28 03:0060 11:34 11:51 12:11 : 01:24 02:5258 11:36 11:56 12:19 : 01:20 02:4556 11:38 12:00 12:26 : 01:16 02:3954 11:40 12:04 12:32 : 01:13 02:3352 11:42 12:08 12:38 : 01:10 02:2850 11:44 12:12 12:43 : 01:07 02:2345 11:47 12:19 12:54 : 01:01 02:1440 11:50 12:25 13:03 : 00:56 02:0535 11:53 12:31 13:11 : 00:52 01:5830 11:55 12:36 13:18 : 00:48 01:5220 11:59 12:44 13:31 : 00:42 01:4210 12:03 12:51 13:42 : 00:36 01:320 12:07 12:58 13:52 : 00:31 01:24-10 12:10 13:05 14:02 : 00:26 01:15-20 12:14 13:13 14:13 : 00:20 01:06-30 12:18 13:22 14:26 : 00:14 00:55-35 12:21 13:27 14:33 : 00:10 00:49-40 12:23 13:32 14:42 : 00:06 00:42-45 12:27 13:39 14:52 : 00:01 00:34-50 12:31 13:47 15:04 23:55 : 00:25-52 12:33 13:51 15:09 23:53 : 00:20-54 12:35 13:55 15:15 23:50 : 00:15-56 12:37 13:60 15:22 23:47 : 00:10-58 12:39 14:05 15:30 23:43 : 00:04-60 12:42 14:11 15:39 23:39 23:57 :



11

January 16, 17 ,18 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11520.5 19855.5 -2305.3 15954.3 -1804.8 28522.1 -248.1 28524.3 -138.61 13023.0 21354.6 -2305.3 17454.8 -1804.2 30024.5 -248.2 30026.7 -138.62 14525.5 22853.7 -2305.3 18955.3 -1803.6 31526.9 -248.2 31529.2 -138.53 16027.9 24352.7 -2305.2 20455.7 -1803.1 33029.3 -248.2 33031.6 -138.54 17530.4 25851.8 -2305.2 21956.2 -1802.5 34531.7 -248.2 34534.1 -138.55 19032.9 27350.8 -2305.2 23456.7 -1801.9 034.1 -248.2 036.5 -138.56 20535.3 28849.9 -2305.1 24957.2 -1801.4 1536.5 -248.2 1539.0 -138.57 22037.8 30349.0 -2305.1 26457.7 -1800.8 3038.9 -248.3 3041.4 -138.58 23540.3 31848.0 -2305.0 27958.1 -1800.2 4541.3 -248.3 4543.9 -138.59 25042.7 33347.1 -2305.0 29458.6 -1759.7 6043.7 -248.3 6046.3 -138.510 26545.2 34846.2 -2305.0 30959.1 -1759.1 7546.1 -248.3 7548.8 -138.511 28047.6 345.2 -2304.9 32459.6 -1758.5 9048.5 -248.3 9051.2 -138.512 29550.1 1844.3 -2304.9 34000.0 -1758.0 10550.9 -248.3 10553.7 -138.513 31052.6 3343.3 -2304.8 35500.5 -1757.4 12053.3 -248.3 12056.1 -138.514 32555.0 4842.4 -2304.8 1001.0 -1756.8 13555.7 -248.4 13558.6 -138.515 34057.5 6341.5 -2304.7 2501.5 -1756.3 15058.1 -248.4 15101.0 -138.516 35560.0 7840.5 -2304.7 4001.9 -1755.7 16600.5 -248.4 16603.5 -138.517 1102.4 9339.6 -2304.6 5502.4 -1755.1 18102.9 -248.4 18105.9 -138.418 2604.9 10838.7 -2304.6 7002.9 -1754.6 19605.3 -248.4 19608.4 -138.419 4107.4 12337.7 -2304.5 8503.4 -1754.0 21107.7 -248.4 21110.8 -138.420 5609.8 13836.8 -2304.5 10003.9 -1753.4 22610.1 -248.4 22613.3 -138.421 7112.3 15335.8 -2304.4 11504.3 -1752.8 24112.5 -248.5 24115.7 -138.422 8614.8 16834.9 -2304.4 13004.8 -1752.3 25614.9 -248.5 25618.2 -138.423 10117.2 18334.0 -2304.3 14505.3 -1751.7 27117.3 -248.5 27120.6 -138.4Mer.pass.:16:15 v-0.9 d0.0 m-3.8 v0.5 d0.6 m1.2 v2.4 d-0.0 m-2.0 v2.4 d0.0 m0.8

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11619.7 19833.0 -2304.2 16005.8 -1751.1 28619.7 -248.5 28623.1 -138.41 13122.1 21332.1 -2304.2 17506.3 -1750.6 30122.1 -248.5 30125.5 -138.42 14624.6 22831.2 -2304.1 19006.7 -1750.0 31624.5 -248.5 31628.0 -138.43 16127.1 24330.2 -2304.1 20507.2 -1749.4 33126.9 -248.5 33130.5 -138.44 17629.5 25829.3 -2304.0 22007.7 -1748.8 34629.3 -248.6 34632.9 -138.45 19132.0 27328.3 -2303.9 23508.2 -1748.3 131.7 -248.6 135.4 -138.36 20634.5 28827.4 -2303.9 25008.7 -1747.7 1634.1 -248.6 1637.8 -138.37 22136.9 30326.5 -2303.8 26509.1 -1747.1 3136.5 -248.6 3140.3 -138.38 23639.4 31825.5 -2303.7 28009.6 -1746.5 4638.9 -248.6 4642.7 -138.39 25141.9 33324.6 -2303.7 29510.1 -1746.0 6141.3 -248.6 6145.2 -138.310 26644.3 34823.7 -2303.6 31010.6 -1745.4 7643.7 -248.6 7647.6 -138.311 28146.8 322.7 -2303.5 32511.1 -1744.8 9146.1 -248.6 9150.1 -138.312 29649.3 1821.8 -2303.4 34011.6 -1744.2 10648.5 -248.7 10652.5 -138.313 31151.7 3320.8 -2303.4 35512.0 -1743.7 12150.9 -248.7 12155.0 -138.314 32654.2 4819.9 -2303.3 1012.5 -1743.1 13653.3 -248.7 13657.4 -138.315 34156.6 6319.0 -2303.2 2513.0 -1742.5 15155.8 -248.7 15159.9 -138.316 35659.1 7818.0 -2303.1 4013.5 -1741.9 16658.2 -248.7 16702.4 -138.317 1201.6 9317.1 -2303.1 5514.0 -1741.4 18200.6 -248.7 18204.8 -138.218 2704.0 10816.2 -2303.0 7014.4 -1740.8 19703.0 -248.7 19707.3 -138.219 4206.5 12315.2 -2302.9 8514.9 -1740.2 21205.4 -248.7 21209.7 -138.220 5709.0 13814.3 -2302.8 10015.4 -1739.6 22707.8 -248.8 22712.2 -138.221 7211.4 15313.4 -2302.7 11515.9 -1739.0 24210.2 -248.8 24214.6 -138.222 8713.9 16812.4 -2302.6 13016.4 -1738.5 25712.6 -248.8 25717.1 -138.223 10216.4 18311.5 -2302.5 14516.9 -1737.9 27215.0 -248.8 27219.5 -138.2Mer.pass.:16:12 v-0.9 d0.1 m-3.8 v0.5 d0.6 m1.2 v2.4 d-0.0 m-2.0 v2.5 d0.0 m0.8

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11718.8 19810.5 -2302.5 16017.4 -1737.3 28717.4 -248.8 28722.0 -138.21 13221.3 21309.6 -2302.4 17517.8 -1736.7 30219.8 -248.8 30224.5 -138.22 14723.8 22808.7 -2302.3 19018.3 -1736.1 31722.3 -248.8 31726.9 -138.23 16226.2 24307.7 -2302.2 20518.8 -1735.6 33224.7 -248.8 33229.4 -138.14 17728.7 25806.8 -2302.1 22019.3 -1735.0 34727.1 -248.8 34731.8 -138.15 19231.1 27305.9 -2302.0 23519.8 -1734.4 229.5 -248.9 234.3 -138.16 20733.6 28804.9 -2301.9 25020.3 -1733.8 1731.9 -248.9 1736.7 -138.17 22236.1 30304.0 -2301.8 26520.7 -1733.2 3234.3 -248.9 3239.2 -138.18 23738.5 31803.1 -2301.7 28021.2 -1732.6 4736.7 -248.9 4741.7 -138.19 25241.0 33302.1 -2301.6 29521.7 -1732.1 6239.1 -248.9 6244.1 -138.110 26743.5 34801.2 -2301.5 31022.2 -1731.5 7741.5 -248.9 7746.6 -138.111 28245.9 300.3 -2301.4 32522.7 -1730.9 9244.0 -248.9 9249.0 -138.112 29748.4 1759.3 -2301.3 34023.2 -1730.3 10746.4 -248.9 10751.5 -138.113 31250.9 3258.4 -2301.2 35523.7 -1729.7 12248.8 -248.9 12254.0 -138.014 32753.3 4757.5 -2301.1 1024.2 -1729.1 13751.2 -248.9 13756.4 -138.015 34255.8 6256.5 -2301.0 2524.6 -1728.6 15253.6 -248.9 15258.9 -138.016 35758.2 7755.6 -2300.9 4025.1 -1728.0 16756.0 -249.0 16801.3 -138.017 1300.7 9254.6 -2300.8 5525.6 -1727.4 18258.4 -249.0 18303.8 -138.018 2803.2 10753.7 -2300.7 7026.1 -1726.8 19800.9 -249.0 19806.3 -138.019 4305.6 12252.8 -2300.5 8526.6 -1726.2 21303.3 -249.0 21308.7 -138.020 5808.1 13751.8 -2300.4 10027.1 -1725.6 22805.7 -249.0 22811.2 -138.021 7310.6 15250.9 -2300.3 11527.6 -1725.0 24308.1 -249.0 24313.6 -138.022 8813.0 16750.0 -2300.2 13028.1 -1724.5 25810.5 -249.0 25816.1 -137.923 10315.5 18249.0 -2300.1 14528.5 -1723.9 27312.9 -249.0 27318.6 -137.9Mer.pass.:16:08 v-0.9 d0.1 m-3.8 v0.5 d0.6 m1.2 v2.4 d-0.0 m-2.0 v2.5 d0.0 m0.8

StarsSHA Dec

Alpheratz 35809.2 2859.2Ankaa 35340.2 -4224.9

Schedar 35008.9 5626.2Diphda 34920.6 -1805.7


Aldebaran 29117.5 1628.2Rigel 28135.5 -813.6



Sirius 25855.0 -1641.3Adara 25531.5 -2856.9








Atria 10821.3 -6859.4Sabik 10241.1 -1542.0


Etamin 9058.1 5129.4Kaus Aust. 8416.9 -3423.6


Peacock 5358.6 -5647.9Deneb 4948.7 4512.8

Enif 3411.6 947.2Alnair 2815.1 -4703.4



Jupiter 17001.6 04:58Saturn 17003.7 04:58


Jupiter 16960.0 04:54Saturn 17003.4 04:54


Jupiter 16958.6 04:50Saturn 17003.2 04:50


12


h Sun MoonFri GHA Dec GHA Dec d HP0 17734.9 -2059.4 5636.2 7.7 1514.7 8.4 59.31 19234.7 -2058.9 7102.9 7.7 1523.0 8.3 59.32 20734.5 -2058.5 8529.5 7.6 1531.3 8.2 59.33 22234.3 -2058.0 9956.1 7.6 1539.4 8.1 59.34 23734.1 -2057.5 11422.6 7.5 1547.4 8.0 59.35 25233.9 -2057.1 12849.1 7.5 1555.4 7.9 59.36 26733.7 -2056.6 14315.6 7.4 1603.2 7.8 59.37 28233.4 -2056.1 15742.0 7.4 1611.0 7.7 59.38 29733.2 -2055.6 17208.4 7.3 1618.6 7.6 59.29 31233.0 -2055.1 18634.7 7.3 1626.2 7.5 59.210 32732.8 -2054.7 20101.0 7.3 1633.6 7.4 59.211 34232.6 -2054.2 21527.2 7.2 1640.9 7.3 59.212 35732.4 -2053.7 22953.4 7.2 1648.2 7.2 59.213 1232.2 -2053.2 24419.6 7.1 1655.3 7.1 59.214 2732.0 -2052.7 25845.7 7.1 1702.3 7.0 59.215 4231.8 -2052.3 27311.8 7.1 1709.2 6.8 59.216 5731.5 -2051.8 28737.8 7.0 1716.0 6.7 59.217 7231.3 -2051.3 30203.8 7.0 1722.7 6.6 59.218 8731.1 -2050.8 31629.8 6.9 1729.2 6.5 59.219 10230.9 -2050.3 33055.7 6.9 1735.7 6.4 59.220 11730.7 -2049.8 34521.6 6.9 1742.0 6.3 59.221 13230.5 -2049.4 35947.5 6.8 1748.3 6.2 59.222 14730.3 -2048.9 1413.3 6.8 1754.4 6.1 59.223 16230.1 -2048.4 2839.1 6.8 1800.4 5.9 59.1

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

Sat GHA Dec GHA Dec d HP0 17729.9 -2047.9 4304.8 6.7 1806.3 5.8 59.11 19229.7 -2047.4 5730.5 6.7 1812.1 5.7 59.12 20729.5 -2046.9 7156.2 6.7 1817.7 5.6 59.13 22229.3 -2046.4 8621.9 6.6 1823.2 5.5 59.14 23729.0 -2045.9 10047.5 6.6 1828.7 5.4 59.15 25228.8 -2045.4 11513.1 6.6 1833.9 5.2 59.16 26728.6 -2045.0 12938.7 6.6 1839.1 5.1 59.17 28228.4 -2044.5 14404.2 6.5 1844.2 5.0 59.18 29728.2 -2044.0 15829.7 6.5 1849.1 4.9 59.19 31228.0 -2043.5 17255.2 6.5 1853.9 4.7 59.010 32727.8 -2043.0 18720.7 6.5 1858.6 4.6 59.011 34227.6 -2042.5 20146.1 6.4 1903.1 4.5 59.012 35727.4 -2042.0 21611.5 6.4 1907.6 4.4 59.013 1

Documents

The Nautical Almanac 1981 Nautical Almanac.pdf · For security relevant applications you should buy an official version of the nautical almanac. The Nautical Almanac ... 22 CALCULATIONS