The Nautical Almanac 2018 - Штурманская...

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Disclaimer: These are computer generated tables from a program written by Enno Rodegerdts. Use at 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 2018

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 ½ 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 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 100◦35.8 181◦17.1 -23◦37.9 238◦36.7 -15◦13.7 235◦49.0 -15◦53.1 189◦05.5 -22◦31.91 115◦38.2 196◦16.2 -23◦37.7 253◦37.6 -15◦14.2 250◦51.0 -15◦53.2 204◦07.6 -22◦31.92 130◦40.7 211◦15.2 -23◦37.6 268◦38.5 -15◦14.7 265◦53.0 -15◦53.3 219◦09.8 -22◦31.93 145◦43.2 226◦14.2 -23◦37.5 283◦39.5 -15◦15.1 280◦55.1 -15◦53.4 234◦11.9 -22◦31.94 160◦45.6 241◦13.2 -23◦37.4 298◦40.4 -15◦15.6 295◦57.1 -15◦53.5 249◦14.1 -22◦31.95 175◦48.1 256◦12.3 -23◦37.3 313◦41.3 -15◦16.1 310◦59.2 -15◦53.6 264◦16.2 -22◦31.96 190◦50.6 271◦11.3 -23◦37.2 328◦42.2 -15◦16.6 326◦01.2 -15◦53.8 279◦18.4 -22◦31.97 205◦53.0 286◦10.3 -23◦37.1 343◦43.2 -15◦17.0 341◦03.3 -15◦53.9 294◦20.5 -22◦31.98 220◦55.5 301◦09.4 -23◦36.9 358◦44.1 -15◦17.5 356◦05.3 -15◦54.0 309◦22.6 -22◦31.99 235◦58.0 316◦08.4 -23◦36.8 13◦45.0 -15◦18.0 11◦07.3 -15◦54.1 324◦24.8 -22◦31.910 251◦00.4 331◦07.4 -23◦36.7 28◦45.9 -15◦18.5 26◦09.4 -15◦54.2 339◦26.9 -22◦31.911 266◦02.9 346◦06.5 -23◦36.6 43◦46.9 -15◦18.9 41◦11.4 -15◦54.3 354◦29.1 -22◦31.812 281◦05.3 1◦05.5 -23◦36.5 58◦47.8 -15◦19.4 56◦13.5 -15◦54.4 9◦31.2 -22◦31.813 296◦07.8 16◦04.5 -23◦36.3 73◦48.7 -15◦19.9 71◦15.5 -15◦54.6 24◦33.4 -22◦31.814 311◦10.3 31◦03.6 -23◦36.2 88◦49.6 -15◦20.4 86◦17.6 -15◦54.7 39◦35.5 -22◦31.815 326◦12.7 46◦02.6 -23◦36.1 103◦50.6 -15◦20.8 101◦19.6 -15◦54.8 54◦37.7 -22◦31.816 341◦15.2 61◦01.6 -23◦36.0 118◦51.5 -15◦21.3 116◦21.7 -15◦54.9 69◦39.8 -22◦31.817 356◦17.7 76◦00.7 -23◦35.8 133◦52.4 -15◦21.8 131◦23.7 -15◦55.0 84◦42.0 -22◦31.818 11◦20.1 90◦59.7 -23◦35.7 148◦53.3 -15◦22.3 146◦25.7 -15◦55.1 99◦44.1 -22◦31.819 26◦22.6 105◦58.7 -23◦35.6 163◦54.3 -15◦22.7 161◦27.8 -15◦55.2 114◦46.3 -22◦31.820 41◦25.1 120◦57.8 -23◦35.4 178◦55.2 -15◦23.2 176◦29.8 -15◦55.4 129◦48.4 -22◦31.821 56◦27.5 135◦56.8 -23◦35.3 193◦56.1 -15◦23.7 191◦31.9 -15◦55.5 144◦50.6 -22◦31.822 71◦30.0 150◦55.8 -23◦35.2 208◦57.0 -15◦24.1 206◦33.9 -15◦55.6 159◦52.7 -22◦31.823 86◦32.5 165◦54.9 -23◦35.0 223◦57.9 -15◦24.6 221◦36.0 -15◦55.7 174◦54.9 -22◦31.8Mer.pass.:17:14 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 101◦34.9 180◦53.9 -23◦34.9 238◦58.9 -15◦25.1 236◦38.0 -15◦55.8 189◦57.0 -22◦31.81 116◦37.4 195◦52.9 -23◦34.7 253◦59.8 -15◦25.6 251◦40.1 -15◦55.9 204◦59.2 -22◦31.82 131◦39.8 210◦52.0 -23◦34.6 269◦00.7 -15◦26.0 266◦42.1 -15◦56.0 220◦01.3 -22◦31.83 146◦42.3 225◦51.0 -23◦34.5 284◦01.6 -15◦26.5 281◦44.2 -15◦56.2 235◦03.5 -22◦31.84 161◦44.8 240◦50.0 -23◦34.3 299◦02.6 -15◦27.0 296◦46.2 -15◦56.3 250◦05.6 -22◦31.85 176◦47.2 255◦49.1 -23◦34.2 314◦03.5 -15◦27.4 311◦48.3 -15◦56.4 265◦07.7 -22◦31.86 191◦49.7 270◦48.1 -23◦34.0 329◦04.4 -15◦27.9 326◦50.3 -15◦56.5 280◦09.9 -22◦31.87 206◦52.2 285◦47.1 -23◦33.9 344◦05.3 -15◦28.4 341◦52.3 -15◦56.6 295◦12.0 -22◦31.88 221◦54.6 300◦46.2 -23◦33.7 359◦06.3 -15◦28.9 356◦54.4 -15◦56.7 310◦14.2 -22◦31.89 236◦57.1 315◦45.2 -23◦33.6 14◦07.2 -15◦29.3 11◦56.4 -15◦56.8 325◦16.3 -22◦31.810 251◦59.6 330◦44.2 -23◦33.4 29◦08.1 -15◦29.8 26◦58.5 -15◦56.9 340◦18.5 -22◦31.811 267◦02.0 345◦43.3 -23◦33.3 44◦09.0 -15◦30.3 42◦00.5 -15◦57.1 355◦20.6 -22◦31.812 282◦04.5 0◦42.3 -23◦33.1 59◦09.9 -15◦30.7 57◦02.6 -15◦57.2 10◦22.8 -22◦31.813 297◦07.0 15◦41.4 -23◦33.0 74◦10.9 -15◦31.2 72◦04.6 -15◦57.3 25◦24.9 -22◦31.814 312◦09.4 30◦40.4 -23◦32.8 89◦11.8 -15◦31.7 87◦06.7 -15◦57.4 40◦27.1 -22◦31.815 327◦11.9 45◦39.4 -23◦32.7 104◦12.7 -15◦32.1 102◦08.7 -15◦57.5 55◦29.2 -22◦31.816 342◦14.3 60◦38.5 -23◦32.5 119◦13.6 -15◦32.6 117◦10.8 -15◦57.6 70◦31.4 -22◦31.817 357◦16.8 75◦37.5 -23◦32.3 134◦14.6 -15◦33.1 132◦12.8 -15◦57.7 85◦33.5 -22◦31.818 12◦19.3 90◦36.5 -23◦32.2 149◦15.5 -15◦33.6 147◦14.9 -15◦57.9 100◦35.7 -22◦31.819 27◦21.7 105◦35.6 -23◦32.0 164◦16.4 -15◦34.0 162◦16.9 -15◦58.0 115◦37.8 -22◦31.820 42◦24.2 120◦34.6 -23◦31.9 179◦17.3 -15◦34.5 177◦19.0 -15◦58.1 130◦40.0 -22◦31.821 57◦26.7 135◦33.6 -23◦31.7 194◦18.2 -15◦35.0 192◦21.0 -15◦58.2 145◦42.1 -22◦31.822 72◦29.1 150◦32.7 -23◦31.5 209◦19.2 -15◦35.4 207◦23.1 -15◦58.3 160◦44.3 -22◦31.823 87◦31.6 165◦31.7 -23◦31.4 224◦20.1 -15◦35.9 222◦25.1 -15◦58.4 175◦46.4 -22◦31.8Mer.pass.:17:10 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 102◦34.1 180◦30.8 -23◦31.2 239◦21.0 -15◦36.4 237◦27.2 -15◦58.5 190◦48.6 -22◦31.81 117◦36.5 195◦29.8 -23◦31.0 254◦21.9 -15◦36.8 252◦29.2 -15◦58.6 205◦50.7 -22◦31.82 132◦39.0 210◦28.8 -23◦30.8 269◦22.8 -15◦37.3 267◦31.3 -15◦58.8 220◦52.9 -22◦31.83 147◦41.5 225◦27.9 -23◦30.7 284◦23.8 -15◦37.8 282◦33.3 -15◦58.9 235◦55.0 -22◦31.84 162◦43.9 240◦26.9 -23◦30.5 299◦24.7 -15◦38.2 297◦35.4 -15◦59.0 250◦57.2 -22◦31.85 177◦46.4 255◦25.9 -23◦30.3 314◦25.6 -15◦38.7 312◦37.4 -15◦59.1 265◦59.3 -22◦31.86 192◦48.8 270◦25.0 -23◦30.1 329◦26.5 -15◦39.2 327◦39.5 -15◦59.2 281◦01.5 -22◦31.87 207◦51.3 285◦24.0 -23◦30.0 344◦27.4 -15◦39.6 342◦41.5 -15◦59.3 296◦03.6 -22◦31.88 222◦53.8 300◦23.1 -23◦29.8 359◦28.4 -15◦40.1 357◦43.6 -15◦59.4 311◦05.7 -22◦31.89 237◦56.2 315◦22.1 -23◦29.6 14◦29.3 -15◦40.6 12◦45.6 -15◦59.5 326◦07.9 -22◦31.810 252◦58.7 330◦21.1 -23◦29.4 29◦30.2 -15◦41.0 27◦47.7 -15◦59.6 341◦10.0 -22◦31.811 268◦01.2 345◦20.2 -23◦29.2 44◦31.1 -15◦41.5 42◦49.7 -15◦59.8 356◦12.2 -22◦31.812 283◦03.6 0◦19.2 -23◦29.1 59◦32.0 -15◦42.0 57◦51.8 -15◦59.9 11◦14.3 -22◦31.813 298◦06.1 15◦18.3 -23◦28.9 74◦33.0 -15◦42.4 72◦53.8 -15◦60.0 26◦16.5 -22◦31.814 313◦08.6 30◦17.3 -23◦28.7 89◦33.9 -15◦42.9 87◦55.9 -16◦00.1 41◦18.6 -22◦31.815 328◦11.0 45◦16.3 -23◦28.5 104◦34.8 -15◦43.3 102◦57.9 -16◦00.2 56◦20.8 -22◦31.816 343◦13.5 60◦15.4 -23◦28.3 119◦35.7 -15◦43.8 117◦60.0 -16◦00.3 71◦22.9 -22◦31.817 358◦16.0 75◦14.4 -23◦28.1 134◦36.6 -15◦44.3 133◦02.0 -16◦00.4 86◦25.1 -22◦31.818 13◦18.4 90◦13.5 -23◦27.9 149◦37.6 -15◦44.7 148◦04.1 -16◦00.5 101◦27.2 -22◦31.819 28◦20.9 105◦12.5 -23◦27.7 164◦38.5 -15◦45.2 163◦06.2 -16◦00.6 116◦29.4 -22◦31.820 43◦23.3 120◦11.5 -23◦27.5 179◦39.4 -15◦45.7 178◦08.2 -16◦00.8 131◦31.5 -22◦31.821 58◦25.8 135◦10.6 -23◦27.4 194◦40.3 -15◦46.1 193◦10.3 -16◦00.9 146◦33.7 -22◦31.822 73◦28.3 150◦09.6 -23◦27.2 209◦41.2 -15◦46.6 208◦12.3 -16◦01.0 161◦35.8 -22◦31.823 88◦30.7 165◦08.7 -23◦27.0 224◦42.2 -15◦47.1 223◦14.4 -16◦01.1 176◦38.0 -22◦31.8Mer.pass.:17:06 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦40.3 29◦11.5Ankaa 353◦12.7 -42◦12.8

Schedar 349◦36.9 56◦38.3Diphda 348◦52.7 -17◦53.5

Achernar 335◦24.4 -57◦09.2Hamal 327◦57.2 23◦32.8Polaris 316◦06.7 89◦20.6Akamar 315◦15.8 -40◦14.3Menkar 314◦11.6 4◦09.4Mirfak 308◦35.5 49◦55.5

Aldebaran 290◦45.6 16◦32.6Rigel 281◦08.8 -8◦11.1

Capella 280◦29.5 46◦00.9Bellatrix 278◦28.4 6◦21.7Elnath 278◦08.4 28◦37.2Alnilam 275◦42.9 -1◦11.7

Betelgeuse 270◦57.6 7◦24.4Canopus 263◦54.2 -52◦42.5

Sirius 258◦30.6 -16◦44.5Adara 255◦09.7 -28◦60.0

Procyon 244◦56.1 5◦10.7Pollux 243◦23.5 27◦58.7Avior 234◦16.1 -59◦34.0Suhail 222◦49.8 -43◦30.3

Miaplacidus 221◦38.2 -69◦47.3Alphard 217◦52.8 -8◦44.3Regulus 207◦40.0 11◦52.6Dubhe 193◦47.7 61◦39.0

Denebola 182◦30.4 14◦28.3Gienah 175◦49.0 -17◦38.3Acrux 173◦05.7 -63◦11.5

Gacrux 171◦57.3 -57◦12.5Alioth 166◦18.1 55◦51.5Spica 158◦28.1 -11◦15.1Alcaid 152◦56.7 49◦13.3Hadar 148◦43.7 -60◦27.1

Menkent 148◦04.1 -36◦27.2Arcturus 145◦52.9 19◦05.7

Rigil Kent. 139◦47.8 -60◦54.1Zubenelg. 137◦02.2 -16◦06.7Kochab 137◦20.9 74◦04.8

Alphecca 126◦08.7 26◦39.3Antares 112◦22.8 -26◦28.0

Atria 107◦22.3 -69◦03.2Sabik 102◦09.3 -15◦44.6

Shaula 96◦18.1 -37◦06.7Rasalhague 96◦04.0 12◦33.0

Etamin 90◦45.2 51◦29.3Kaus Aust. 83◦40.1 -34◦22.3

Vega 80◦37.3 38◦48.1Nunki 75◦54.9 -26◦16.3Altair 62◦05.6 8◦55.0

Peacock 53◦15.0 -56◦40.6Deneb 49◦29.8 45◦20.9

Enif 33◦44.4 9◦57.5Alnair 27◦40.3 -46◦52.6

Fomalhaut 15◦20.9 -29◦31.8Scheat 13◦50.6 28◦10.9Markab 13◦35.4 15◦18.2

2018/1/1 SHA Mer.passVenus 80◦41.3 11:56Mars 138◦00.9 08:05

Jupiter 135◦13.2 08:16Saturn 88◦29.7 11:22


Jupiter 135◦03.1 08:12Saturn 88◦22.1 11:19


Jupiter 134◦53.1 08:09Saturn 88◦14.5 11:15

Horizontal paralaxVenus: 0.1Mars: 0.1

2

2018 January 01 to Jan. 03

h Sun MoonMon GHA Dec GHA ν Dec d HP0 179◦10.0 -23◦01.1 16◦05.7 3.3 19◦19.2 3.6 61.41 194◦09.7 -23◦00.9 30◦27.9 3.2 19◦22.7 3.5 61.42 209◦09.5 -23◦00.7 44◦50.1 3.2 19◦26.2 3.4 61.43 224◦09.2 -23◦00.5 59◦12.2 3.1 19◦29.5 3.2 61.44 239◦08.9 -23◦00.3 73◦34.3 3.1 19◦32.6 3.1 61.45 254◦08.6 -23◦00.1 87◦56.4 3.0 19◦35.6 2.9 61.46 269◦08.3 -22◦59.9 102◦18.4 3.0 19◦38.4 2.8 61.47 284◦08.0 -22◦59.7 116◦40.4 3.0 19◦41.1 2.6 61.48 299◦07.7 -22◦59.5 131◦02.3 2.9 19◦43.6 2.5 61.49 314◦07.4 -22◦59.3 145◦24.2 2.9 19◦46.0 2.3 61.410 329◦07.1 -22◦59.1 159◦46.1 2.9 19◦48.2 2.2 61.511 344◦06.8 -22◦58.9 174◦08.0 2.8 19◦50.3 2.0 61.512 359◦06.5 -22◦58.7 188◦29.8 2.8 19◦52.3 1.9 61.513 14◦06.2 -22◦58.5 202◦51.6 2.8 19◦54.0 1.7 61.514 29◦05.9 -22◦58.3 217◦13.4 2.8 19◦55.7 1.5 61.515 44◦05.6 -22◦58.0 231◦35.1 2.7 19◦57.1 1.4 61.516 59◦05.3 -22◦57.8 245◦56.9 2.7 19◦58.4 1.2 61.517 74◦05.1 -22◦57.6 260◦18.6 2.7 19◦59.6 1.1 61.518 89◦04.8 -22◦57.4 274◦40.3 2.7 20◦00.6 0.9 61.519 104◦04.5 -22◦57.2 289◦02.0 2.7 20◦01.5 0.8 61.520 119◦04.2 -22◦57.0 303◦23.7 2.7 20◦02.2 0.6 61.521 134◦03.9 -22◦56.8 317◦45.4 2.7 20◦02.7 0.5 61.522 149◦03.6 -22◦56.5 332◦07.0 2.7 20◦03.1 0.3 61.523 164◦03.3 -22◦56.3 346◦28.7 2.7 20◦03.3 0.2 61.5

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

Tue GHA Dec GHA ν Dec d HP0 179◦03.0 -22◦56.1 0◦50.4 2.7 20◦03.4 -0.0 61.51 194◦02.7 -22◦55.9 15◦12.1 2.7 20◦03.3 -0.2 61.52 209◦02.4 -22◦55.7 29◦33.8 2.7 20◦03.1 -0.3 61.53 224◦02.1 -22◦55.4 43◦55.4 2.7 20◦02.7 -0.5 61.54 239◦01.8 -22◦55.2 58◦17.1 2.7 20◦02.1 -0.6 61.55 254◦01.6 -22◦55.0 72◦38.8 2.7 20◦01.4 -0.8 61.56 269◦01.3 -22◦54.8 87◦00.6 2.7 20◦00.6 -0.9 61.57 284◦01.0 -22◦54.5 101◦22.3 2.7 19◦59.5 -1.1 61.58 299◦00.7 -22◦54.3 115◦44.0 2.8 19◦58.4 -1.2 61.59 314◦00.4 -22◦54.1 130◦05.8 2.8 19◦57.1 -1.4 61.510 329◦00.1 -22◦53.9 144◦27.6 2.8 19◦55.6 -1.6 61.411 343◦59.8 -22◦53.6 158◦49.4 2.8 19◦53.9 -1.7 61.412 358◦59.5 -22◦53.4 173◦11.2 2.9 19◦52.2 -1.9 61.413 13◦59.2 -22◦53.2 187◦33.1 2.9 19◦50.2 -2.0 61.414 28◦59.0 -22◦52.9 201◦55.0 2.9 19◦48.1 -2.2 61.415 43◦58.7 -22◦52.7 216◦16.9 2.9 19◦45.9 -2.3 61.416 58◦58.4 -22◦52.5 230◦38.9 3.0 19◦43.5 -2.5 61.417 73◦58.1 -22◦52.2 245◦00.9 3.0 19◦41.0 -2.6 61.418 88◦57.8 -22◦52.0 259◦22.9 3.1 19◦38.3 -2.8 61.419 103◦57.5 -22◦51.8 273◦45.0 3.1 19◦35.4 -2.9 61.420 118◦57.2 -22◦51.5 288◦07.1 3.1 19◦32.5 -3.1 61.321 133◦56.9 -22◦51.3 302◦29.3 3.2 19◦29.3 -3.2 61.322 148◦56.6 -22◦51.1 316◦51.5 3.2 19◦26.0 -3.4 61.323 163◦56.4 -22◦50.8 331◦13.8 3.3 19◦22.6 -3.5 61.3

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

Wed GHA Dec GHA ν Dec d HP0 178◦56.1 -22◦50.6 345◦36.1 3.3 19◦19.0 -3.6 61.31 193◦55.8 -22◦50.4 359◦58.4 3.4 19◦15.3 -3.8 61.32 208◦55.5 -22◦50.1 14◦20.8 3.4 19◦11.5 -3.9 61.33 223◦55.2 -22◦49.9 28◦43.3 3.5 19◦07.5 -4.1 61.24 238◦54.9 -22◦49.6 43◦05.8 3.6 19◦03.3 -4.2 61.25 253◦54.6 -22◦49.4 57◦28.4 3.6 18◦59.0 -4.4 61.26 268◦54.3 -22◦49.1 71◦51.0 3.7 18◦54.6 -4.5 61.27 283◦54.1 -22◦48.9 86◦13.8 3.7 18◦50.1 -4.6 61.28 298◦53.8 -22◦48.7 100◦36.5 3.8 18◦45.4 -4.8 61.19 313◦53.5 -22◦48.4 114◦59.3 3.9 18◦40.5 -4.9 61.110 328◦53.2 -22◦48.2 129◦22.2 3.9 18◦35.6 -5.0 61.111 343◦52.9 -22◦47.9 143◦45.2 4.0 18◦30.5 -5.2 61.112 358◦52.6 -22◦47.7 158◦08.2 4.1 18◦25.2 -5.3 61.113 13◦52.3 -22◦47.4 172◦31.4 4.1 18◦19.9 -5.4 61.014 28◦52.1 -22◦47.2 186◦54.5 4.2 18◦14.4 -5.6 61.015 43◦51.8 -22◦46.9 201◦17.8 4.3 18◦08.8 -5.7 61.016 58◦51.5 -22◦46.7 215◦41.1 4.4 18◦03.0 -5.8 61.017 73◦51.2 -22◦46.4 230◦04.5 4.4 17◦57.1 -5.9 60.918 88◦50.9 -22◦46.2 244◦28.0 4.5 17◦51.1 -6.1 60.919 103◦50.6 -22◦45.9 258◦51.5 4.6 17◦45.0 -6.2 60.920 118◦50.3 -22◦45.7 273◦15.2 4.7 17◦38.8 -6.3 60.921 133◦50.1 -22◦45.4 287◦38.9 4.8 17◦32.4 -6.4 60.822 148◦49.8 -22◦45.1 302◦02.7 4.8 17◦25.9 -6.5 60.823 163◦49.5 -22◦44.9 316◦26.6 4.9 17◦19.3 -6.7 60.8

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

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

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

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

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

3

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

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 103◦33.2 180◦07.7 -23◦26.8 239◦43.1 -15◦47.5 238◦16.4 -16◦01.2 191◦40.1 -22◦31.81 118◦35.7 195◦06.7 -23◦26.6 254◦44.0 -15◦48.0 253◦18.5 -16◦01.3 206◦42.3 -22◦31.82 133◦38.1 210◦05.8 -23◦26.4 269◦44.9 -15◦48.4 268◦20.5 -16◦01.4 221◦44.4 -22◦31.83 148◦40.6 225◦04.8 -23◦26.2 284◦45.8 -15◦48.9 283◦22.6 -16◦01.5 236◦46.6 -22◦31.84 163◦43.1 240◦03.9 -23◦25.9 299◦46.8 -15◦49.4 298◦24.6 -16◦01.6 251◦48.7 -22◦31.85 178◦45.5 255◦02.9 -23◦25.7 314◦47.7 -15◦49.8 313◦26.7 -16◦01.8 266◦50.9 -22◦31.86 193◦48.0 270◦02.0 -23◦25.5 329◦48.6 -15◦50.3 328◦28.7 -16◦01.9 281◦53.0 -22◦31.87 208◦50.5 285◦01.0 -23◦25.3 344◦49.5 -15◦50.8 343◦30.8 -16◦02.0 296◦55.2 -22◦31.88 223◦52.9 300◦00.0 -23◦25.1 359◦50.4 -15◦51.2 358◦32.9 -16◦02.1 311◦57.3 -22◦31.89 238◦55.4 314◦59.1 -23◦24.9 14◦51.3 -15◦51.7 13◦34.9 -16◦02.2 326◦59.5 -22◦31.710 253◦57.8 329◦58.1 -23◦24.7 29◦52.3 -15◦52.1 28◦37.0 -16◦02.3 342◦01.6 -22◦31.711 269◦00.3 344◦57.2 -23◦24.5 44◦53.2 -15◦52.6 43◦39.0 -16◦02.4 357◦03.8 -22◦31.712 284◦02.8 359◦56.2 -23◦24.3 59◦54.1 -15◦53.1 58◦41.1 -16◦02.5 12◦05.9 -22◦31.713 299◦05.2 14◦55.3 -23◦24.1 74◦55.0 -15◦53.5 73◦43.1 -16◦02.6 27◦08.1 -22◦31.714 314◦07.7 29◦54.3 -23◦23.8 89◦55.9 -15◦54.0 88◦45.2 -16◦02.7 42◦10.2 -22◦31.715 329◦10.2 44◦53.3 -23◦23.6 104◦56.8 -15◦54.4 103◦47.2 -16◦02.9 57◦12.4 -22◦31.716 344◦12.6 59◦52.4 -23◦23.4 119◦57.8 -15◦54.9 118◦49.3 -16◦03.0 72◦14.5 -22◦31.717 359◦15.1 74◦51.4 -23◦23.2 134◦58.7 -15◦55.4 133◦51.4 -16◦03.1 87◦16.7 -22◦31.718 14◦17.6 89◦50.5 -23◦23.0 149◦59.6 -15◦55.8 148◦53.4 -16◦03.2 102◦18.8 -22◦31.719 29◦20.0 104◦49.5 -23◦22.7 165◦00.5 -15◦56.3 163◦55.5 -16◦03.3 117◦21.0 -22◦31.720 44◦22.5 119◦48.6 -23◦22.5 180◦01.4 -15◦56.7 178◦57.5 -16◦03.4 132◦23.1 -22◦31.721 59◦24.9 134◦47.6 -23◦22.3 195◦02.3 -15◦57.2 193◦59.6 -16◦03.5 147◦25.3 -22◦31.722 74◦27.4 149◦46.7 -23◦22.1 210◦03.3 -15◦57.7 209◦01.6 -16◦03.6 162◦27.4 -22◦31.723 89◦29.9 164◦45.7 -23◦21.8 225◦04.2 -15◦58.1 224◦03.7 -16◦03.7 177◦29.6 -22◦31.7Mer.pass.:17:02 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 104◦32.3 179◦44.7 -23◦21.6 240◦05.1 -15◦58.6 239◦05.8 -16◦03.8 192◦31.7 -22◦31.71 119◦34.8 194◦43.8 -23◦21.4 255◦06.0 -15◦59.0 254◦07.8 -16◦04.0 207◦33.9 -22◦31.72 134◦37.3 209◦42.8 -23◦21.1 270◦06.9 -15◦59.5 269◦09.9 -16◦04.1 222◦36.0 -22◦31.73 149◦39.7 224◦41.9 -23◦20.9 285◦07.8 -15◦60.0 284◦11.9 -16◦04.2 237◦38.2 -22◦31.74 164◦42.2 239◦40.9 -23◦20.7 300◦08.8 -16◦00.4 299◦14.0 -16◦04.3 252◦40.3 -22◦31.75 179◦44.7 254◦40.0 -23◦20.4 315◦09.7 -16◦00.9 314◦16.1 -16◦04.4 267◦42.5 -22◦31.76 194◦47.1 269◦39.0 -23◦20.2 330◦10.6 -16◦01.3 329◦18.1 -16◦04.5 282◦44.6 -22◦31.77 209◦49.6 284◦38.1 -23◦20.0 345◦11.5 -16◦01.8 344◦20.2 -16◦04.6 297◦46.8 -22◦31.78 224◦52.1 299◦37.1 -23◦19.7 0◦12.4 -16◦02.2 359◦22.2 -16◦04.7 312◦48.9 -22◦31.79 239◦54.5 314◦36.2 -23◦19.5 15◦13.3 -16◦02.7 14◦24.3 -16◦04.8 327◦51.1 -22◦31.710 254◦57.0 329◦35.2 -23◦19.2 30◦14.3 -16◦03.2 29◦26.3 -16◦04.9 342◦53.2 -22◦31.711 269◦59.4 344◦34.3 -23◦19.0 45◦15.2 -16◦03.6 44◦28.4 -16◦05.0 357◦55.4 -22◦31.712 285◦01.9 359◦33.3 -23◦18.8 60◦16.1 -16◦04.1 59◦30.5 -16◦05.1 12◦57.5 -22◦31.713 300◦04.4 14◦32.4 -23◦18.5 75◦17.0 -16◦04.5 74◦32.5 -16◦05.3 27◦59.7 -22◦31.714 315◦06.8 29◦31.4 -23◦18.3 90◦17.9 -16◦05.0 89◦34.6 -16◦05.4 43◦01.8 -22◦31.715 330◦09.3 44◦30.5 -23◦18.0 105◦18.8 -16◦05.4 104◦36.6 -16◦05.5 58◦04.0 -22◦31.716 345◦11.8 59◦29.5 -23◦17.8 120◦19.7 -16◦05.9 119◦38.7 -16◦05.6 73◦06.1 -22◦31.717 0◦14.2 74◦28.6 -23◦17.5 135◦20.7 -16◦06.3 134◦40.8 -16◦05.7 88◦08.3 -22◦31.718 15◦16.7 89◦27.6 -23◦17.3 150◦21.6 -16◦06.8 149◦42.8 -16◦05.8 103◦10.4 -22◦31.719 30◦19.2 104◦26.7 -23◦17.0 165◦22.5 -16◦07.3 164◦44.9 -16◦05.9 118◦12.6 -22◦31.720 45◦21.6 119◦25.7 -23◦16.8 180◦23.4 -16◦07.7 179◦47.0 -16◦06.0 133◦14.7 -22◦31.721 60◦24.1 134◦24.8 -23◦16.5 195◦24.3 -16◦08.2 194◦49.0 -16◦06.1 148◦16.9 -22◦31.722 75◦26.6 149◦23.8 -23◦16.2 210◦25.2 -16◦08.6 209◦51.1 -16◦06.2 163◦19.0 -22◦31.723 90◦29.0 164◦22.9 -23◦16.0 225◦26.2 -16◦09.1 224◦53.1 -16◦06.3 178◦21.2 -22◦31.7Mer.pass.:16:59 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 105◦31.5 179◦21.9 -23◦15.7 240◦27.1 -16◦09.5 239◦55.2 -16◦06.4 193◦23.3 -22◦31.71 120◦33.9 194◦21.0 -23◦15.5 255◦28.0 -16◦10.0 254◦57.3 -16◦06.5 208◦25.5 -22◦31.72 135◦36.4 209◦20.0 -23◦15.2 270◦28.9 -16◦10.4 269◦59.3 -16◦06.7 223◦27.6 -22◦31.73 150◦38.9 224◦19.1 -23◦14.9 285◦29.8 -16◦10.9 285◦01.4 -16◦06.8 238◦29.8 -22◦31.74 165◦41.3 239◦18.1 -23◦14.7 300◦30.7 -16◦11.3 300◦03.5 -16◦06.9 253◦31.9 -22◦31.75 180◦43.8 254◦17.2 -23◦14.4 315◦31.6 -16◦11.8 315◦05.5 -16◦07.0 268◦34.1 -22◦31.76 195◦46.3 269◦16.2 -23◦14.1 330◦32.5 -16◦12.2 330◦07.6 -16◦07.1 283◦36.2 -22◦31.77 210◦48.7 284◦15.3 -23◦13.9 345◦33.5 -16◦12.7 345◦09.6 -16◦07.2 298◦38.4 -22◦31.78 225◦51.2 299◦14.3 -23◦13.6 0◦34.4 -16◦13.1 0◦11.7 -16◦07.3 313◦40.5 -22◦31.69 240◦53.7 314◦13.4 -23◦13.3 15◦35.3 -16◦13.6 15◦13.8 -16◦07.4 328◦42.7 -22◦31.610 255◦56.1 329◦12.4 -23◦13.1 30◦36.2 -16◦14.0 30◦15.8 -16◦07.5 343◦44.8 -22◦31.611 270◦58.6 344◦11.5 -23◦12.8 45◦37.1 -16◦14.5 45◦17.9 -16◦07.6 358◦47.0 -22◦31.612 286◦01.0 359◦10.5 -23◦12.5 60◦38.0 -16◦15.0 60◦20.0 -16◦07.7 13◦49.1 -22◦31.613 301◦03.5 14◦09.6 -23◦12.2 75◦38.9 -16◦15.4 75◦22.0 -16◦07.8 28◦51.3 -22◦31.614 316◦06.0 29◦08.6 -23◦12.0 90◦39.9 -16◦15.9 90◦24.1 -16◦07.9 43◦53.4 -22◦31.615 331◦08.4 44◦07.7 -23◦11.7 105◦40.8 -16◦16.3 105◦26.2 -16◦08.0 58◦55.6 -22◦31.616 346◦10.9 59◦06.8 -23◦11.4 120◦41.7 -16◦16.8 120◦28.2 -16◦08.2 73◦57.7 -22◦31.617 1◦13.4 74◦05.8 -23◦11.1 135◦42.6 -16◦17.2 135◦30.3 -16◦08.3 88◦59.9 -22◦31.618 16◦15.8 89◦04.9 -23◦10.8 150◦43.5 -16◦17.7 150◦32.3 -16◦08.4 104◦02.0 -22◦31.619 31◦18.3 104◦03.9 -23◦10.6 165◦44.4 -16◦18.1 165◦34.4 -16◦08.5 119◦04.2 -22◦31.620 46◦20.8 119◦03.0 -23◦10.3 180◦45.3 -16◦18.6 180◦36.5 -16◦08.6 134◦06.3 -22◦31.621 61◦23.2 134◦02.0 -23◦10.0 195◦46.2 -16◦19.0 195◦38.5 -16◦08.7 149◦08.5 -22◦31.622 76◦25.7 149◦01.1 -23◦09.7 210◦47.2 -16◦19.5 210◦40.6 -16◦08.8 164◦10.6 -22◦31.623 91◦28.2 164◦00.1 -23◦09.4 225◦48.1 -16◦19.9 225◦42.7 -16◦08.9 179◦12.8 -22◦31.6Mer.pass.:16:55 v-0.9 d0.3 m-3.8 v0.9 d-0.5 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦40.4 29◦11.5Ankaa 353◦12.7 -42◦12.8

Schedar 349◦36.9 56◦38.3Diphda 348◦52.7 -17◦53.5


Aldebaran 290◦45.5 16◦32.6Rigel 281◦08.8 -8◦11.1



Sirius 258◦30.6 -16◦44.5Adara 255◦09.7 -28◦60.0








Atria 107◦22.3 -69◦03.2Sabik 102◦09.3 -15◦44.6


Etamin 90◦45.2 51◦29.3Kaus Aust. 83◦40.1 -34◦22.3


Peacock 53◦15.0 -56◦40.6Deneb 49◦29.8 45◦20.8

Enif 33◦44.4 9◦57.5Alnair 27◦40.3 -46◦52.6



Jupiter 134◦43.2 08:06Saturn 88◦06.9 11:12


Jupiter 134◦33.4 08:03Saturn 87◦59.4 11:08


Jupiter 134◦23.7 07:59Saturn 87◦51.8 11:05


4


h Sun MoonThu GHA Dec GHA ν Dec d HP0 178◦49.2 -22◦44.6 330◦50.5 5.0 17◦12.6 -6.8 60.81 193◦48.9 -22◦44.4 345◦14.6 5.1 17◦05.8 -6.9 60.72 208◦48.6 -22◦44.1 359◦38.7 5.2 16◦58.8 -7.0 60.73 223◦48.4 -22◦43.9 14◦02.9 5.3 16◦51.8 -7.1 60.74 238◦48.1 -22◦43.6 28◦27.2 5.3 16◦44.6 -7.2 60.65 253◦47.8 -22◦43.3 42◦51.6 5.4 16◦37.3 -7.3 60.66 268◦47.5 -22◦43.1 57◦16.1 5.5 16◦29.9 -7.4 60.67 283◦47.2 -22◦42.8 71◦40.7 5.6 16◦22.5 -7.5 60.68 298◦46.9 -22◦42.5 86◦05.3 5.7 16◦14.9 -7.6 60.59 313◦46.7 -22◦42.3 100◦30.1 5.8 16◦07.2 -7.7 60.510 328◦46.4 -22◦42.0 114◦54.9 5.9 15◦59.4 -7.8 60.511 343◦46.1 -22◦41.8 129◦19.9 6.0 15◦51.5 -7.9 60.412 358◦45.8 -22◦41.5 143◦44.9 6.1 15◦43.5 -8.0 60.413 13◦45.5 -22◦41.2 158◦10.0 6.2 15◦35.4 -8.1 60.414 28◦45.3 -22◦40.9 172◦35.2 6.3 15◦27.2 -8.2 60.315 43◦45.0 -22◦40.7 187◦00.5 6.3 15◦18.9 -8.3 60.316 58◦44.7 -22◦40.4 201◦25.9 6.4 15◦10.5 -8.4 60.317 73◦44.4 -22◦40.1 215◦51.4 6.5 15◦02.1 -8.5 60.218 88◦44.1 -22◦39.9 230◦16.9 6.6 14◦53.5 -8.6 60.219 103◦43.9 -22◦39.6 244◦42.6 6.7 14◦44.9 -8.7 60.220 118◦43.6 -22◦39.3 259◦08.4 6.8 14◦36.1 -8.8 60.121 133◦43.3 -22◦39.0 273◦34.2 6.9 14◦27.3 -8.9 60.122 148◦43.0 -22◦38.8 288◦00.2 7.0 14◦18.4 -8.9 60.123 163◦42.7 -22◦38.5 302◦26.2 7.1 14◦09.5 -9.0 60.0

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

Fri GHA Dec GHA ν Dec d HP0 178◦42.5 -22◦38.2 316◦52.4 7.2 14◦00.4 -9.1 60.01 193◦42.2 -22◦37.9 331◦18.6 7.3 13◦51.3 -9.2 60.02 208◦41.9 -22◦37.7 345◦45.0 7.4 13◦42.1 -9.2 59.93 223◦41.6 -22◦37.4 0◦11.4 7.5 13◦32.8 -9.3 59.94 238◦41.3 -22◦37.1 14◦37.9 7.6 13◦23.4 -9.4 59.85 253◦41.1 -22◦36.8 29◦04.5 7.7 13◦14.0 -9.5 59.86 268◦40.8 -22◦36.6 43◦31.2 7.8 13◦04.5 -9.5 59.87 283◦40.5 -22◦36.3 57◦58.0 7.8 12◦54.9 -9.6 59.78 298◦40.2 -22◦36.0 72◦24.9 7.9 12◦45.3 -9.7 59.79 313◦39.9 -22◦35.7 86◦51.9 8.0 12◦35.6 -9.7 59.710 328◦39.7 -22◦35.4 101◦19.0 8.1 12◦25.8 -9.8 59.611 343◦39.4 -22◦35.1 115◦46.2 8.2 12◦16.0 -9.9 59.612 358◦39.1 -22◦34.9 130◦13.4 8.3 12◦06.1 -9.9 59.513 13◦38.8 -22◦34.6 144◦40.8 8.4 11◦56.1 -10.0 59.514 28◦38.6 -22◦34.3 159◦08.2 8.5 11◦46.1 -10.0 59.515 43◦38.3 -22◦34.0 173◦35.8 8.6 11◦36.1 -10.1 59.416 58◦38.0 -22◦33.7 188◦03.4 8.7 11◦25.9 -10.1 59.417 73◦37.7 -22◦33.4 202◦31.1 8.8 11◦15.8 -10.2 59.318 88◦37.5 -22◦33.1 216◦58.9 8.9 11◦05.5 -10.3 59.319 103◦37.2 -22◦32.8 231◦26.8 8.9 10◦55.3 -10.3 59.320 118◦36.9 -22◦32.5 245◦54.8 9.0 10◦44.9 -10.4 59.221 133◦36.6 -22◦32.2 260◦22.9 9.1 10◦34.6 -10.4 59.222 148◦36.4 -22◦32.0 274◦51.0 9.2 10◦24.1 -10.4 59.123 163◦36.1 -22◦31.7 289◦19.3 9.3 10◦13.7 -10.5 59.1

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

Sat GHA Dec GHA ν Dec d HP0 178◦35.8 -22◦31.4 303◦47.6 9.4 10◦03.1 -10.5 59.11 193◦35.5 -22◦31.1 318◦16.1 9.5 9◦52.6 -10.6 59.02 208◦35.3 -22◦30.8 332◦44.6 9.6 9◦42.0 -10.6 59.03 223◦35.0 -22◦30.5 347◦13.2 9.6 9◦31.4 -10.7 58.94 238◦34.7 -22◦30.2 1◦41.8 9.7 9◦20.7 -10.7 58.95 253◦34.4 -22◦29.9 16◦10.6 9.8 9◦10.0 -10.7 58.96 268◦34.2 -22◦29.6 30◦39.4 9.9 8◦59.2 -10.8 58.87 283◦33.9 -22◦29.3 45◦08.4 10.0 8◦48.4 -10.8 58.88 298◦33.6 -22◦29.0 59◦37.4 10.0 8◦37.6 -10.8 58.79 313◦33.3 -22◦28.7 74◦06.5 10.1 8◦26.8 -10.9 58.710 328◦33.1 -22◦28.4 88◦35.6 10.2 8◦15.9 -10.9 58.711 343◦32.8 -22◦28.1 103◦04.9 10.3 8◦05.0 -10.9 58.612 358◦32.5 -22◦27.8 117◦34.2 10.4 7◦54.0 -11.0 58.613 13◦32.2 -22◦27.5 132◦03.6 10.4 7◦43.1 -11.0 58.514 28◦32.0 -22◦27.2 146◦33.1 10.5 7◦32.1 -11.0 58.515 43◦31.7 -22◦26.9 161◦02.7 10.6 7◦21.1 -11.0 58.516 58◦31.4 -22◦26.5 175◦32.3 10.7 7◦10.0 -11.1 58.417 73◦31.2 -22◦26.2 190◦02.0 10.7 6◦59.0 -11.1 58.418 88◦30.9 -22◦25.9 204◦31.8 10.8 6◦47.9 -11.1 58.319 103◦30.6 -22◦25.6 219◦01.6 10.9 6◦36.8 -11.1 58.320 118◦30.3 -22◦25.3 233◦31.6 11.0 6◦25.6 -11.1 58.221 133◦30.1 -22◦25.0 248◦01.6 11.0 6◦14.5 -11.1 58.222 148◦29.8 -22◦24.7 262◦31.6 11.1 6◦03.3 -11.2 58.223 163◦29.5 -22◦24.4 277◦01.8 11.2 5◦52.2 -11.2 58.1

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

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

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



5

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

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 106◦30.6 178◦59.2 -23◦09.1 240◦49.0 -16◦20.4 240◦44.7 -16◦09.0 194◦14.9 -22◦31.61 121◦33.1 193◦58.3 -23◦08.8 255◦49.9 -16◦20.8 255◦46.8 -16◦09.1 209◦17.1 -22◦31.62 136◦35.5 208◦57.3 -23◦08.5 270◦50.8 -16◦21.3 270◦48.9 -16◦09.2 224◦19.2 -22◦31.63 151◦38.0 223◦56.4 -23◦08.3 285◦51.7 -16◦21.7 285◦50.9 -16◦09.3 239◦21.4 -22◦31.64 166◦40.5 238◦55.4 -23◦08.0 300◦52.6 -16◦22.1 300◦53.0 -16◦09.4 254◦23.5 -22◦31.65 181◦42.9 253◦54.5 -23◦07.7 315◦53.5 -16◦22.6 315◦55.1 -16◦09.5 269◦25.7 -22◦31.66 196◦45.4 268◦53.6 -23◦07.4 330◦54.4 -16◦23.0 330◦57.1 -16◦09.6 284◦27.8 -22◦31.67 211◦47.9 283◦52.6 -23◦07.1 345◦55.4 -16◦23.5 345◦59.2 -16◦09.7 299◦30.0 -22◦31.68 226◦50.3 298◦51.7 -23◦06.8 0◦56.3 -16◦23.9 1◦01.3 -16◦09.8 314◦32.1 -22◦31.69 241◦52.8 313◦50.7 -23◦06.5 15◦57.2 -16◦24.4 16◦03.3 -16◦10.0 329◦34.3 -22◦31.610 256◦55.3 328◦49.8 -23◦06.2 30◦58.1 -16◦24.8 31◦05.4 -16◦10.1 344◦36.4 -22◦31.611 271◦57.7 343◦48.8 -23◦05.9 45◦59.0 -16◦25.3 46◦07.5 -16◦10.2 359◦38.6 -22◦31.612 287◦00.2 358◦47.9 -23◦05.6 60◦59.9 -16◦25.7 61◦09.5 -16◦10.3 14◦40.8 -22◦31.613 302◦02.7 13◦47.0 -23◦05.3 76◦00.8 -16◦26.2 76◦11.6 -16◦10.4 29◦42.9 -22◦31.614 317◦05.1 28◦46.0 -23◦05.0 91◦01.7 -16◦26.6 91◦13.7 -16◦10.5 44◦45.1 -22◦31.615 332◦07.6 43◦45.1 -23◦04.6 106◦02.6 -16◦27.1 106◦15.8 -16◦10.6 59◦47.2 -22◦31.616 347◦10.0 58◦44.2 -23◦04.3 121◦03.6 -16◦27.5 121◦17.8 -16◦10.7 74◦49.4 -22◦31.617 2◦12.5 73◦43.2 -23◦04.0 136◦04.5 -16◦28.0 136◦19.9 -16◦10.8 89◦51.5 -22◦31.618 17◦15.0 88◦42.3 -23◦03.7 151◦05.4 -16◦28.4 151◦22.0 -16◦10.9 104◦53.7 -22◦31.619 32◦17.4 103◦41.3 -23◦03.4 166◦06.3 -16◦28.9 166◦24.0 -16◦11.0 119◦55.8 -22◦31.620 47◦19.9 118◦40.4 -23◦03.1 181◦07.2 -16◦29.3 181◦26.1 -16◦11.1 134◦58.0 -22◦31.621 62◦22.4 133◦39.5 -23◦02.8 196◦08.1 -16◦29.7 196◦28.2 -16◦11.2 150◦00.1 -22◦31.622 77◦24.8 148◦38.5 -23◦02.5 211◦09.0 -16◦30.2 211◦30.2 -16◦11.3 165◦02.3 -22◦31.523 92◦27.3 163◦37.6 -23◦02.1 226◦09.9 -16◦30.6 226◦32.3 -16◦11.4 180◦04.4 -22◦31.5Mer.pass.:16:51 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5


Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 108◦28.9 178◦14.2 -22◦53.8 241◦32.6 -16◦41.7 242◦24.1 -16◦14.0 195◦58.2 -22◦31.51 123◦31.4 193◦13.3 -22◦53.5 256◦33.5 -16◦42.1 257◦26.2 -16◦14.1 211◦00.4 -22◦31.52 138◦33.8 208◦12.4 -22◦53.1 271◦34.5 -16◦42.6 272◦28.3 -16◦14.2 226◦02.5 -22◦31.53 153◦36.3 223◦11.5 -22◦52.8 286◦35.4 -16◦43.0 287◦30.3 -16◦14.3 241◦04.7 -22◦31.54 168◦38.7 238◦10.5 -22◦52.4 301◦36.3 -16◦43.4 302◦32.4 -16◦14.4 256◦06.8 -22◦31.55 183◦41.2 253◦09.6 -22◦52.0 316◦37.2 -16◦43.9 317◦34.5 -16◦14.5 271◦09.0 -22◦31.56 198◦43.7 268◦08.7 -22◦51.7 331◦38.1 -16◦44.3 332◦36.6 -16◦14.6 286◦11.2 -22◦31.47 213◦46.1 283◦07.7 -22◦51.3 346◦39.0 -16◦44.8 347◦38.7 -16◦14.7 301◦13.3 -22◦31.48 228◦48.6 298◦06.8 -22◦51.0 1◦39.9 -16◦45.2 2◦40.7 -16◦14.8 316◦15.5 -22◦31.49 243◦51.1 313◦05.9 -22◦50.6 16◦40.8 -16◦45.6 17◦42.8 -16◦14.9 331◦17.6 -22◦31.410 258◦53.5 328◦05.0 -22◦50.3 31◦41.7 -16◦46.1 32◦44.9 -16◦15.0 346◦19.8 -22◦31.411 273◦56.0 343◦04.0 -22◦49.9 46◦42.6 -16◦46.5 47◦47.0 -16◦15.1 1◦21.9 -22◦31.412 288◦58.5 358◦03.1 -22◦49.5 61◦43.5 -16◦46.9 62◦49.0 -16◦15.2 16◦24.1 -22◦31.413 304◦00.9 13◦02.2 -22◦49.2 76◦44.4 -16◦47.4 77◦51.1 -16◦15.3 31◦26.2 -22◦31.414 319◦03.4 28◦01.3 -22◦48.8 91◦45.3 -16◦47.8 92◦53.2 -16◦15.4 46◦28.4 -22◦31.415 334◦05.9 43◦00.3 -22◦48.4 106◦46.2 -16◦48.3 107◦55.3 -16◦15.5 61◦30.5 -22◦31.416 349◦08.3 57◦59.4 -22◦48.1 121◦47.1 -16◦48.7 122◦57.3 -16◦15.6 76◦32.7 -22◦31.417 4◦10.8 72◦58.5 -22◦47.7 136◦48.1 -16◦49.1 137◦59.4 -16◦15.7 91◦34.8 -22◦31.418 19◦13.2 87◦57.6 -22◦47.3 151◦49.0 -16◦49.6 153◦01.5 -16◦15.8 106◦37.0 -22◦31.419 34◦15.7 102◦56.6 -22◦47.0 166◦49.9 -16◦50.0 168◦03.6 -16◦15.9 121◦39.2 -22◦31.420 49◦18.2 117◦55.7 -22◦46.6 181◦50.8 -16◦50.4 183◦05.7 -16◦16.0 136◦41.3 -22◦31.421 64◦20.6 132◦54.8 -22◦46.2 196◦51.7 -16◦50.9 198◦07.7 -16◦16.1 151◦43.5 -22◦31.422 79◦23.1 147◦53.9 -22◦45.8 211◦52.6 -16◦51.3 213◦09.8 -16◦16.2 166◦45.6 -22◦31.423 94◦25.6 162◦52.9 -22◦45.5 226◦53.5 -16◦51.7 228◦11.9 -16◦16.3 181◦47.8 -22◦31.4Mer.pass.:16:43 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦40.4 29◦11.5Ankaa 353◦12.8 -42◦12.8

Schedar 349◦37.0 56◦38.3Diphda 348◦52.7 -17◦53.5


Aldebaran 290◦45.6 16◦32.6Rigel 281◦08.8 -8◦11.1



Sirius 258◦30.6 -16◦44.5Adara 255◦09.7 -28◦60.0








Atria 107◦22.2 -69◦03.2Sabik 102◦09.3 -15◦44.6


Etamin 90◦45.2 51◦29.3Kaus Aust. 83◦40.1 -34◦22.3


Peacock 53◦15.0 -56◦40.6Deneb 49◦29.8 45◦20.8

Enif 33◦44.4 9◦57.5Alnair 27◦40.3 -46◦52.6



Jupiter 134◦14.1 07:56Saturn 87◦44.3 11:01


Jupiter 134◦04.6 07:53Saturn 87◦36.8 10:58


Jupiter 133◦55.2 07:49Saturn 87◦29.3 10:55


6


h Sun MoonSun GHA Dec GHA ν Dec d HP0 178◦29.3 -22◦24.1 291◦32.0 11.2 5◦41.0 -11.2 58.11 193◦29.0 -22◦23.7 306◦02.3 11.3 5◦29.8 -11.2 58.02 208◦28.7 -22◦23.4 320◦32.6 11.4 5◦18.6 -11.2 58.03 223◦28.4 -22◦23.1 335◦03.0 11.4 5◦07.3 -11.2 58.04 238◦28.2 -22◦22.8 349◦33.5 11.5 4◦56.1 -11.2 57.95 253◦27.9 -22◦22.5 4◦04.0 11.6 4◦44.9 -11.2 57.96 268◦27.6 -22◦22.2 18◦34.6 11.6 4◦33.6 -11.3 57.87 283◦27.4 -22◦21.9 33◦05.3 11.7 4◦22.4 -11.3 57.88 298◦27.1 -22◦21.5 47◦36.0 11.8 4◦11.1 -11.3 57.89 313◦26.8 -22◦21.2 62◦06.8 11.8 3◦59.8 -11.3 57.710 328◦26.6 -22◦20.9 76◦37.7 11.9 3◦48.5 -11.3 57.711 343◦26.3 -22◦20.6 91◦08.6 11.9 3◦37.3 -11.3 57.612 358◦26.0 -22◦20.2 105◦39.6 12.0 3◦26.0 -11.3 57.613 13◦25.8 -22◦19.9 120◦10.6 12.1 3◦14.7 -11.3 57.614 28◦25.5 -22◦19.6 134◦41.7 12.1 3◦03.4 -11.3 57.515 43◦25.2 -22◦19.3 149◦12.8 12.2 2◦52.2 -11.3 57.516 58◦25.0 -22◦18.9 163◦44.0 12.2 2◦40.9 -11.3 57.417 73◦24.7 -22◦18.6 178◦15.2 12.3 2◦29.6 -11.3 57.418 88◦24.4 -22◦18.3 192◦46.5 12.3 2◦18.3 -11.3 57.419 103◦24.2 -22◦18.0 207◦17.9 12.4 2◦07.1 -11.3 57.320 118◦23.9 -22◦17.6 221◦49.3 12.4 1◦55.8 -11.3 57.321 133◦23.6 -22◦17.3 236◦20.7 12.5 1◦44.6 -11.3 57.222 148◦23.4 -22◦17.0 250◦52.2 12.5 1◦33.3 -11.2 57.223 163◦23.1 -22◦16.7 265◦23.8 12.6 1◦22.1 -11.2 57.2

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

Mon GHA Dec GHA ν Dec d HP0 178◦22.8 -22◦16.3 279◦55.4 12.6 1◦10.8 -11.2 57.11 193◦22.6 -22◦16.0 294◦27.0 12.7 0◦59.6 -11.2 57.12 208◦22.3 -22◦15.7 308◦58.7 12.7 0◦48.4 -11.2 57.13 223◦22.0 -22◦15.3 323◦30.4 12.8 0◦37.2 -11.2 57.04 238◦21.8 -22◦15.0 338◦02.2 12.8 0◦26.0 -11.2 57.05 253◦21.5 -22◦14.7 352◦34.0 12.8 0◦14.9 -11.2 56.96 268◦21.2 -22◦14.3 7◦05.9 12.9 0◦03.7 -11.2 56.97 283◦21.0 -22◦14.0 21◦37.8 12.9 -0◦07.4 -11.1 56.98 298◦20.7 -22◦13.6 36◦09.7 13.0 -0◦18.6 -11.1 56.89 313◦20.4 -22◦13.3 50◦41.7 13.0 -0◦29.7 -11.1 56.810 328◦20.2 -22◦13.0 65◦13.7 13.0 -0◦40.8 -11.1 56.811 343◦19.9 -22◦12.6 79◦45.8 13.1 -0◦51.9 -11.1 56.712 358◦19.7 -22◦12.3 94◦17.9 13.1 -1◦02.9 -11.1 56.713 13◦19.4 -22◦11.9 108◦50.0 13.1 -1◦14.0 -11.0 56.614 28◦19.1 -22◦11.6 123◦22.2 13.2 -1◦25.0 -11.0 56.615 43◦18.9 -22◦11.3 137◦54.4 13.2 -1◦36.0 -11.0 56.616 58◦18.6 -22◦10.9 152◦26.6 13.2 -1◦47.0 -11.0 56.517 73◦18.3 -22◦10.6 166◦58.8 13.3 -1◦57.9 -10.9 56.518 88◦18.1 -22◦10.2 181◦31.1 13.3 -2◦08.9 -10.9 56.519 103◦17.8 -22◦09.9 196◦03.5 13.3 -2◦19.8 -10.9 56.420 118◦17.6 -22◦09.5 210◦35.8 13.4 -2◦30.7 -10.9 56.421 133◦17.3 -22◦09.2 225◦08.2 13.4 -2◦41.5 -10.8 56.422 148◦17.0 -22◦08.8 239◦40.6 13.4 -2◦52.3 -10.8 56.323 163◦16.8 -22◦08.5 254◦13.0 13.4 -3◦03.2 -10.8 56.3

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

Tue GHA Dec GHA ν Dec d HP0 178◦16.5 -22◦08.1 268◦45.5 13.5 -3◦13.9 -10.8 56.31 193◦16.3 -22◦07.8 283◦18.0 13.5 -3◦24.7 -10.7 56.22 208◦16.0 -22◦07.4 297◦50.5 13.5 -3◦35.4 -10.7 56.23 223◦15.7 -22◦07.1 312◦23.0 13.5 -3◦46.1 -10.7 56.24 238◦15.5 -22◦06.7 326◦55.6 13.6 -3◦56.8 -10.7 56.15 253◦15.2 -22◦06.4 341◦28.2 13.6 -4◦07.4 -10.6 56.16 268◦15.0 -22◦06.0 356◦00.8 13.6 -4◦18.0 -10.6 56.17 283◦14.7 -22◦05.7 10◦33.4 13.6 -4◦28.6 -10.6 56.08 298◦14.4 -22◦05.3 25◦06.0 13.6 -4◦39.2 -10.5 56.09 313◦14.2 -22◦05.0 39◦38.7 13.7 -4◦49.7 -10.5 56.010 328◦13.9 -22◦04.6 54◦11.3 13.7 -5◦00.1 -10.5 55.911 343◦13.7 -22◦04.2 68◦44.0 13.7 -5◦10.6 -10.4 55.912 358◦13.4 -22◦03.9 83◦16.7 13.7 -5◦21.0 -10.4 55.913 13◦13.2 -22◦03.5 97◦49.5 13.7 -5◦31.4 -10.4 55.814 28◦12.9 -22◦03.2 112◦22.2 13.7 -5◦41.7 -10.3 55.815 43◦12.6 -22◦02.8 126◦55.0 13.8 -5◦52.0 -10.3 55.816 58◦12.4 -22◦02.4 141◦27.7 13.8 -6◦02.3 -10.2 55.817 73◦12.1 -22◦02.1 156◦00.5 13.8 -6◦12.5 -10.2 55.718 88◦11.9 -22◦01.7 170◦33.3 13.8 -6◦22.7 -10.2 55.719 103◦11.6 -22◦01.4 185◦06.1 13.8 -6◦32.9 -10.1 55.720 118◦11.4 -22◦01.0 199◦38.9 13.8 -6◦43.0 -10.1 55.621 133◦11.1 -22◦00.6 214◦11.7 13.8 -6◦53.0 -10.1 55.622 148◦10.9 -22◦00.3 228◦44.5 13.8 -7◦03.1 -10.0 55.623 163◦10.6 -21◦59.9 243◦17.4 13.8 -7◦13.1 -10.0 55.6

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

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

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



7

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

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 109◦28.0 177◦52.0 -22◦45.1 241◦54.4 -16◦52.2 243◦14.0 -16◦16.4 196◦49.9 -22◦31.41 124◦30.5 192◦51.1 -22◦44.7 256◦55.3 -16◦52.6 258◦16.1 -16◦16.6 211◦52.1 -22◦31.42 139◦33.0 207◦50.2 -22◦44.3 271◦56.2 -16◦53.0 273◦18.1 -16◦16.7 226◦54.2 -22◦31.43 154◦35.4 222◦49.3 -22◦43.9 286◦57.1 -16◦53.5 288◦20.2 -16◦16.8 241◦56.4 -22◦31.44 169◦37.9 237◦48.3 -22◦43.6 301◦58.0 -16◦53.9 303◦22.3 -16◦16.9 256◦58.5 -22◦31.45 184◦40.4 252◦47.4 -22◦43.2 316◦58.9 -16◦54.3 318◦24.4 -16◦17.0 272◦00.7 -22◦31.46 199◦42.8 267◦46.5 -22◦42.8 331◦59.8 -16◦54.8 333◦26.5 -16◦17.1 287◦02.8 -22◦31.47 214◦45.3 282◦45.6 -22◦42.4 347◦00.7 -16◦55.2 348◦28.5 -16◦17.2 302◦05.0 -22◦31.48 229◦47.7 297◦44.7 -22◦42.0 2◦01.6 -16◦55.6 3◦30.6 -16◦17.3 317◦07.2 -22◦31.49 244◦50.2 312◦43.7 -22◦41.6 17◦02.5 -16◦56.1 18◦32.7 -16◦17.4 332◦09.3 -22◦31.410 259◦52.7 327◦42.8 -22◦41.2 32◦03.4 -16◦56.5 33◦34.8 -16◦17.5 347◦11.5 -22◦31.411 274◦55.1 342◦41.9 -22◦40.8 47◦04.3 -16◦56.9 48◦36.9 -16◦17.6 2◦13.6 -22◦31.312 289◦57.6 357◦41.0 -22◦40.5 62◦05.3 -16◦57.4 63◦38.9 -16◦17.7 17◦15.8 -22◦31.313 305◦00.1 12◦40.1 -22◦40.1 77◦06.2 -16◦57.8 78◦41.0 -16◦17.8 32◦17.9 -22◦31.314 320◦02.5 27◦39.1 -22◦39.7 92◦07.1 -16◦58.2 93◦43.1 -16◦17.9 47◦20.1 -22◦31.315 335◦05.0 42◦38.2 -22◦39.3 107◦08.0 -16◦58.7 108◦45.2 -16◦18.0 62◦22.2 -22◦31.316 350◦07.5 57◦37.3 -22◦38.9 122◦08.9 -16◦59.1 123◦47.3 -16◦18.1 77◦24.4 -22◦31.317 5◦09.9 72◦36.4 -22◦38.5 137◦09.8 -16◦59.5 138◦49.3 -16◦18.2 92◦26.5 -22◦31.318 20◦12.4 87◦35.5 -22◦38.1 152◦10.7 -16◦60.0 153◦51.4 -16◦18.3 107◦28.7 -22◦31.319 35◦14.8 102◦34.6 -22◦37.7 167◦11.6 -17◦00.4 168◦53.5 -16◦18.4 122◦30.9 -22◦31.320 50◦17.3 117◦33.6 -22◦37.3 182◦12.5 -17◦00.8 183◦55.6 -16◦18.5 137◦33.0 -22◦31.321 65◦19.8 132◦32.7 -22◦36.9 197◦13.4 -17◦01.3 198◦57.7 -16◦18.6 152◦35.2 -22◦31.322 80◦22.2 147◦31.8 -22◦36.5 212◦14.3 -17◦01.7 213◦59.8 -16◦18.7 167◦37.3 -22◦31.323 95◦24.7 162◦30.9 -22◦36.1 227◦15.2 -17◦02.1 229◦01.8 -16◦18.8 182◦39.5 -22◦31.3Mer.pass.:16:39 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 110◦27.2 177◦30.0 -22◦35.7 242◦16.1 -17◦02.5 244◦03.9 -16◦18.9 197◦41.6 -22◦31.31 125◦29.6 192◦29.1 -22◦35.3 257◦17.0 -17◦03.0 259◦06.0 -16◦19.0 212◦43.8 -22◦31.32 140◦32.1 207◦28.1 -22◦34.8 272◦17.9 -17◦03.4 274◦08.1 -16◦19.1 227◦45.9 -22◦31.33 155◦34.6 222◦27.2 -22◦34.4 287◦18.8 -17◦03.8 289◦10.2 -16◦19.2 242◦48.1 -22◦31.34 170◦37.0 237◦26.3 -22◦34.0 302◦19.7 -17◦04.3 304◦12.3 -16◦19.3 257◦50.2 -22◦31.35 185◦39.5 252◦25.4 -22◦33.6 317◦20.6 -17◦04.7 319◦14.4 -16◦19.3 272◦52.4 -22◦31.36 200◦42.0 267◦24.5 -22◦33.2 332◦21.5 -17◦05.1 334◦16.4 -16◦19.4 287◦54.6 -22◦31.37 215◦44.4 282◦23.6 -22◦32.8 347◦22.4 -17◦05.6 349◦18.5 -16◦19.5 302◦56.7 -22◦31.38 230◦46.9 297◦22.7 -22◦32.4 2◦23.3 -17◦06.0 4◦20.6 -16◦19.6 317◦58.9 -22◦31.39 245◦49.3 312◦21.8 -22◦32.0 17◦24.2 -17◦06.4 19◦22.7 -16◦19.7 333◦01.0 -22◦31.310 260◦51.8 327◦20.9 -22◦31.5 32◦25.1 -17◦06.8 34◦24.8 -16◦19.8 348◦03.2 -22◦31.311 275◦54.3 342◦19.9 -22◦31.1 47◦26.0 -17◦07.3 49◦26.9 -16◦19.9 3◦05.3 -22◦31.312 290◦56.7 357◦19.0 -22◦30.7 62◦26.9 -17◦07.7 64◦28.9 -16◦20.0 18◦07.5 -22◦31.313 305◦59.2 12◦18.1 -22◦30.3 77◦27.8 -17◦08.1 79◦31.0 -16◦20.1 33◦09.6 -22◦31.214 321◦01.7 27◦17.2 -22◦29.8 92◦28.7 -17◦08.5 94◦33.1 -16◦20.2 48◦11.8 -22◦31.215 336◦04.1 42◦16.3 -22◦29.4 107◦29.6 -17◦09.0 109◦35.2 -16◦20.3 63◦14.0 -22◦31.216 351◦06.6 57◦15.4 -22◦29.0 122◦30.5 -17◦09.4 124◦37.3 -16◦20.4 78◦16.1 -22◦31.217 6◦09.1 72◦14.5 -22◦28.6 137◦31.4 -17◦09.8 139◦39.4 -16◦20.5 93◦18.3 -22◦31.218 21◦11.5 87◦13.6 -22◦28.1 152◦32.3 -17◦10.3 154◦41.5 -16◦20.6 108◦20.4 -22◦31.219 36◦14.0 102◦12.7 -22◦27.7 167◦33.2 -17◦10.7 169◦43.6 -16◦20.7 123◦22.6 -22◦31.220 51◦16.5 117◦11.8 -22◦27.3 182◦34.1 -17◦11.1 184◦45.6 -16◦20.8 138◦24.7 -22◦31.221 66◦18.9 132◦10.9 -22◦26.9 197◦35.0 -17◦11.5 199◦47.7 -16◦20.9 153◦26.9 -22◦31.222 81◦21.4 147◦09.9 -22◦26.4 212◦35.9 -17◦12.0 214◦49.8 -16◦21.0 168◦29.0 -22◦31.223 96◦23.8 162◦09.0 -22◦26.0 227◦36.8 -17◦12.4 229◦51.9 -16◦21.1 183◦31.2 -22◦31.2Mer.pass.:16:35 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 111◦26.3 177◦08.1 -22◦25.6 242◦37.7 -17◦12.8 244◦54.0 -16◦21.2 198◦33.4 -22◦31.21 126◦28.8 192◦07.2 -22◦25.1 257◦38.6 -17◦13.2 259◦56.1 -16◦21.3 213◦35.5 -22◦31.22 141◦31.2 207◦06.3 -22◦24.7 272◦39.6 -17◦13.7 274◦58.2 -16◦21.4 228◦37.7 -22◦31.23 156◦33.7 222◦05.4 -22◦24.2 287◦40.5 -17◦14.1 290◦00.3 -16◦21.5 243◦39.8 -22◦31.24 171◦36.2 237◦04.5 -22◦23.8 302◦41.4 -17◦14.5 305◦02.4 -16◦21.6 258◦42.0 -22◦31.25 186◦38.6 252◦03.6 -22◦23.4 317◦42.3 -17◦14.9 320◦04.4 -16◦21.7 273◦44.1 -22◦31.26 201◦41.1 267◦02.7 -22◦22.9 332◦43.2 -17◦15.3 335◦06.5 -16◦21.8 288◦46.3 -22◦31.27 216◦43.6 282◦01.8 -22◦22.5 347◦44.1 -17◦15.8 350◦08.6 -16◦21.9 303◦48.5 -22◦31.28 231◦46.0 297◦00.9 -22◦22.0 2◦45.0 -17◦16.2 5◦10.7 -16◦22.0 318◦50.6 -22◦31.29 246◦48.5 311◦60.0 -22◦21.6 17◦45.9 -17◦16.6 20◦12.8 -16◦22.1 333◦52.8 -22◦31.210 261◦51.0 326◦59.1 -22◦21.1 32◦46.8 -17◦17.0 35◦14.9 -16◦22.2 348◦54.9 -22◦31.211 276◦53.4 341◦58.2 -22◦20.7 47◦47.7 -17◦17.5 50◦17.0 -16◦22.3 3◦57.1 -22◦31.212 291◦55.9 356◦57.3 -22◦20.2 62◦48.6 -17◦17.9 65◦19.1 -16◦22.4 18◦59.2 -22◦31.213 306◦58.3 11◦56.4 -22◦19.8 77◦49.5 -17◦18.3 80◦21.2 -16◦22.5 34◦01.4 -22◦31.214 322◦00.8 26◦55.5 -22◦19.3 92◦50.4 -17◦18.7 95◦23.3 -16◦22.6 49◦03.5 -22◦31.115 337◦03.3 41◦54.6 -22◦18.9 107◦51.3 -17◦19.2 110◦25.3 -16◦22.7 64◦05.7 -22◦31.116 352◦05.7 56◦53.7 -22◦18.4 122◦52.2 -17◦19.6 125◦27.4 -16◦22.8 79◦07.9 -22◦31.117 7◦08.2 71◦52.8 -22◦18.0 137◦53.1 -17◦20.0 140◦29.5 -16◦22.9 94◦10.0 -22◦31.118 22◦10.7 86◦51.9 -22◦17.5 152◦54.0 -17◦20.4 155◦31.6 -16◦23.0 109◦12.2 -22◦31.119 37◦13.1 101◦51.0 -22◦17.1 167◦54.9 -17◦20.8 170◦33.7 -16◦23.1 124◦14.3 -22◦31.120 52◦15.6 116◦50.1 -22◦16.6 182◦55.8 -17◦21.3 185◦35.8 -16◦23.2 139◦16.5 -22◦31.121 67◦18.1 131◦49.2 -22◦16.1 197◦56.7 -17◦21.7 200◦37.9 -16◦23.3 154◦18.6 -22◦31.122 82◦20.5 146◦48.3 -22◦15.7 212◦57.6 -17◦22.1 215◦40.0 -16◦23.4 169◦20.8 -22◦31.123 97◦23.0 161◦47.4 -22◦15.2 227◦58.5 -17◦22.5 230◦42.1 -16◦23.4 184◦23.0 -22◦31.1Mer.pass.:16:31 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦40.4 29◦11.5Ankaa 353◦12.8 -42◦12.8

Schedar 349◦37.0 56◦38.3Diphda 348◦52.7 -17◦53.5


Aldebaran 290◦45.6 16◦32.6Rigel 281◦08.8 -8◦11.1



Sirius 258◦30.6 -16◦44.5Adara 255◦09.7 -29◦00.0








Atria 107◦22.2 -69◦03.2Sabik 102◦09.3 -15◦44.6


Etamin 90◦45.2 51◦29.2Kaus Aust. 83◦40.1 -34◦22.3


Peacock 53◦15.0 -56◦40.6Deneb 49◦29.8 45◦20.8

Enif 33◦44.4 9◦57.5Alnair 27◦40.3 -46◦52.6



Jupiter 133◦45.9 07:46Saturn 87◦21.9 10:51


Jupiter 133◦36.8 07:43Saturn 87◦14.5 10:48


Jupiter 133◦27.7 07:39Saturn 87◦07.0 10:44


8


h Sun MoonWed GHA Dec GHA ν Dec d HP0 178◦10.3 -21◦59.5 257◦50.2 13.8 -7◦23.0 -9.9 55.51 193◦10.1 -21◦59.2 272◦23.1 13.9 -7◦32.9 -9.9 55.52 208◦09.8 -21◦58.8 286◦55.9 13.9 -7◦42.8 -9.8 55.53 223◦09.6 -21◦58.4 301◦28.8 13.9 -7◦52.6 -9.8 55.44 238◦09.3 -21◦58.0 316◦01.6 13.9 -8◦02.4 -9.8 55.45 253◦09.1 -21◦57.7 330◦34.5 13.9 -8◦12.1 -9.7 55.46 268◦08.8 -21◦57.3 345◦07.4 13.9 -8◦21.8 -9.7 55.47 283◦08.6 -21◦56.9 359◦40.3 13.9 -8◦31.4 -9.6 55.38 298◦08.3 -21◦56.6 14◦13.1 13.9 -8◦41.0 -9.6 55.39 313◦08.1 -21◦56.2 28◦46.0 13.9 -8◦50.6 -9.5 55.310 328◦07.8 -21◦55.8 43◦18.9 13.9 -9◦00.1 -9.5 55.311 343◦07.6 -21◦55.4 57◦51.8 13.9 -9◦09.6 -9.4 55.212 358◦07.3 -21◦55.1 72◦24.6 13.9 -9◦19.0 -9.4 55.213 13◦07.1 -21◦54.7 86◦57.5 13.9 -9◦28.3 -9.3 55.214 28◦06.8 -21◦54.3 101◦30.4 13.9 -9◦37.6 -9.3 55.215 43◦06.5 -21◦53.9 116◦03.2 13.9 -9◦46.9 -9.2 55.116 58◦06.3 -21◦53.5 130◦36.1 13.9 -9◦56.1 -9.2 55.117 73◦06.0 -21◦53.2 145◦09.0 13.9 -10◦05.3 -9.1 55.118 88◦05.8 -21◦52.8 159◦41.8 13.9 -10◦14.4 -9.1 55.119 103◦05.5 -21◦52.4 174◦14.7 13.8 -10◦23.4 -9.0 55.020 118◦05.3 -21◦52.0 188◦47.5 13.8 -10◦32.4 -9.0 55.021 133◦05.0 -21◦51.6 203◦20.4 13.8 -10◦41.4 -8.9 55.022 148◦04.8 -21◦51.2 217◦53.2 13.8 -10◦50.3 -8.9 55.023 163◦04.5 -21◦50.9 232◦26.0 13.8 -10◦59.1 -8.8 55.0

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

Thu GHA Dec GHA ν Dec d HP0 178◦04.3 -21◦50.5 246◦58.8 13.8 -11◦07.9 -8.8 54.91 193◦04.0 -21◦50.1 261◦31.6 13.8 -11◦16.7 -8.7 54.92 208◦03.8 -21◦49.7 276◦04.5 13.8 -11◦25.4 -8.7 54.93 223◦03.6 -21◦49.3 290◦37.2 13.8 -11◦34.0 -8.6 54.94 238◦03.3 -21◦48.9 305◦10.0 13.8 -11◦42.6 -8.5 54.85 253◦03.1 -21◦48.5 319◦42.8 13.8 -11◦51.1 -8.5 54.86 268◦02.8 -21◦48.1 334◦15.6 13.8 -11◦59.5 -8.4 54.87 283◦02.6 -21◦47.8 348◦48.3 13.7 -12◦07.9 -8.4 54.88 298◦02.3 -21◦47.4 3◦21.0 13.7 -12◦16.3 -8.3 54.89 313◦02.1 -21◦47.0 17◦53.8 13.7 -12◦24.5 -8.3 54.710 328◦01.8 -21◦46.6 32◦26.5 13.7 -12◦32.8 -8.2 54.711 343◦01.6 -21◦46.2 46◦59.2 13.7 -12◦40.9 -8.1 54.712 358◦01.3 -21◦45.8 61◦31.9 13.7 -12◦49.0 -8.1 54.713 13◦01.1 -21◦45.4 76◦04.5 13.7 -12◦57.1 -8.0 54.714 28◦00.8 -21◦45.0 90◦37.2 13.7 -13◦05.1 -8.0 54.715 43◦00.6 -21◦44.6 105◦09.8 13.6 -13◦13.0 -7.9 54.616 58◦00.3 -21◦44.2 119◦42.5 13.6 -13◦20.8 -7.8 54.617 73◦00.1 -21◦43.8 134◦15.1 13.6 -13◦28.6 -7.8 54.618 87◦59.9 -21◦43.4 148◦47.7 13.6 -13◦36.4 -7.7 54.619 102◦59.6 -21◦43.0 163◦20.3 13.6 -13◦44.0 -7.6 54.620 117◦59.4 -21◦42.6 177◦52.8 13.6 -13◦51.6 -7.6 54.621 132◦59.1 -21◦42.2 192◦25.4 13.5 -13◦59.2 -7.5 54.522 147◦58.9 -21◦41.8 206◦57.9 13.5 -14◦06.7 -7.4 54.523 162◦58.6 -21◦41.4 221◦30.4 13.5 -14◦14.1 -7.4 54.5

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

Fri GHA Dec GHA ν Dec d HP0 177◦58.4 -21◦41.0 236◦02.9 13.5 -14◦21.4 -7.3 54.51 192◦58.2 -21◦40.6 250◦35.4 13.5 -14◦28.7 -7.2 54.52 207◦57.9 -21◦40.2 265◦07.8 13.4 -14◦35.9 -7.2 54.53 222◦57.7 -21◦39.8 279◦40.3 13.4 -14◦43.0 -7.1 54.44 237◦57.4 -21◦39.4 294◦12.7 13.4 -14◦50.1 -7.0 54.45 252◦57.2 -21◦39.0 308◦45.1 13.4 -14◦57.1 -7.0 54.46 267◦56.9 -21◦38.6 323◦17.5 13.4 -15◦04.1 -6.9 54.47 282◦56.7 -21◦38.2 337◦49.9 13.4 -15◦10.9 -6.8 54.48 297◦56.5 -21◦37.8 352◦22.2 13.3 -15◦17.7 -6.8 54.49 312◦56.2 -21◦37.3 6◦54.5 13.3 -15◦24.5 -6.7 54.410 327◦56.0 -21◦36.9 21◦26.8 13.3 -15◦31.1 -6.6 54.311 342◦55.7 -21◦36.5 35◦59.1 13.3 -15◦37.7 -6.6 54.312 357◦55.5 -21◦36.1 50◦31.4 13.3 -15◦44.3 -6.5 54.313 12◦55.3 -21◦35.7 65◦03.6 13.2 -15◦50.7 -6.4 54.314 27◦55.0 -21◦35.3 79◦35.8 13.2 -15◦57.1 -6.3 54.315 42◦54.8 -21◦34.9 94◦08.0 13.2 -16◦03.4 -6.3 54.316 57◦54.5 -21◦34.5 108◦40.2 13.2 -16◦09.6 -6.2 54.317 72◦54.3 -21◦34.0 123◦12.4 13.1 -16◦15.8 -6.1 54.318 87◦54.1 -21◦33.6 137◦44.5 13.1 -16◦21.9 -6.0 54.219 102◦53.8 -21◦33.2 152◦16.6 13.1 -16◦27.9 -6.0 54.220 117◦53.6 -21◦32.8 166◦48.7 13.1 -16◦33.8 -5.9 54.221 132◦53.4 -21◦32.4 181◦20.8 13.1 -16◦39.7 -5.8 54.222 147◦53.1 -21◦31.9 195◦52.8 13.0 -16◦45.4 -5.7 54.223 162◦52.9 -21◦31.5 210◦24.8 13.0 -16◦51.2 -5.7 54.2

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

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

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



9

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

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 112◦25.4 176◦46.5 -22◦14.8 242◦59.4 -17◦22.9 245◦44.2 -16◦23.5 199◦25.1 -22◦31.11 127◦27.9 191◦45.6 -22◦14.3 258◦00.3 -17◦23.4 260◦46.3 -16◦23.6 214◦27.3 -22◦31.12 142◦30.4 206◦44.7 -22◦13.8 273◦01.1 -17◦23.8 275◦48.4 -16◦23.7 229◦29.4 -22◦31.13 157◦32.8 221◦43.8 -22◦13.4 288◦02.0 -17◦24.2 290◦50.5 -16◦23.8 244◦31.6 -22◦31.14 172◦35.3 236◦42.9 -22◦12.9 303◦02.9 -17◦24.6 305◦52.5 -16◦23.9 259◦33.7 -22◦31.15 187◦37.8 251◦42.0 -22◦12.4 318◦03.8 -17◦25.0 320◦54.6 -16◦24.0 274◦35.9 -22◦31.16 202◦40.2 266◦41.1 -22◦12.0 333◦04.7 -17◦25.5 335◦56.7 -16◦24.1 289◦38.1 -22◦31.17 217◦42.7 281◦40.2 -22◦11.5 348◦05.6 -17◦25.9 350◦58.8 -16◦24.2 304◦40.2 -22◦31.18 232◦45.2 296◦39.3 -22◦11.0 3◦06.5 -17◦26.3 6◦00.9 -16◦24.3 319◦42.4 -22◦31.19 247◦47.6 311◦38.4 -22◦10.5 18◦07.4 -17◦26.7 21◦03.0 -16◦24.4 334◦44.5 -22◦31.110 262◦50.1 326◦37.5 -22◦10.1 33◦08.3 -17◦27.1 36◦05.1 -16◦24.5 349◦46.7 -22◦31.111 277◦52.6 341◦36.7 -22◦09.6 48◦09.2 -17◦27.5 51◦07.2 -16◦24.6 4◦48.8 -22◦31.112 292◦55.0 356◦35.8 -22◦09.1 63◦10.1 -17◦28.0 66◦09.3 -16◦24.7 19◦51.0 -22◦31.113 307◦57.5 11◦34.9 -22◦08.6 78◦11.0 -17◦28.4 81◦11.4 -16◦24.8 34◦53.2 -22◦31.014 322◦59.9 26◦34.0 -22◦08.2 93◦11.9 -17◦28.8 96◦13.5 -16◦24.9 49◦55.3 -22◦31.015 338◦02.4 41◦33.1 -22◦07.7 108◦12.8 -17◦29.2 111◦15.6 -16◦25.0 64◦57.5 -22◦31.016 353◦04.9 56◦32.2 -22◦07.2 123◦13.7 -17◦29.6 126◦17.7 -16◦25.1 79◦59.6 -22◦31.017 8◦07.3 71◦31.3 -22◦06.7 138◦14.6 -17◦30.0 141◦19.8 -16◦25.2 95◦01.8 -22◦31.018 23◦09.8 86◦30.4 -22◦06.2 153◦15.5 -17◦30.5 156◦21.9 -16◦25.3 110◦04.0 -22◦31.019 38◦12.3 101◦29.5 -22◦05.7 168◦16.4 -17◦30.9 171◦24.0 -16◦25.4 125◦06.1 -22◦31.020 53◦14.7 116◦28.6 -22◦05.2 183◦17.3 -17◦31.3 186◦26.1 -16◦25.5 140◦08.3 -22◦31.021 68◦17.2 131◦27.7 -22◦04.8 198◦18.2 -17◦31.7 201◦28.2 -16◦25.5 155◦10.4 -22◦31.022 83◦19.7 146◦26.9 -22◦04.3 213◦19.1 -17◦32.1 216◦30.3 -16◦25.6 170◦12.6 -22◦31.023 98◦22.1 161◦26.0 -22◦03.8 228◦20.0 -17◦32.5 231◦32.4 -16◦25.7 185◦14.7 -22◦31.0Mer.pass.:16:27 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 113◦24.6 176◦25.1 -22◦03.3 243◦20.9 -17◦33.0 246◦34.5 -16◦25.8 200◦16.9 -22◦31.01 128◦27.1 191◦24.2 -22◦02.8 258◦21.8 -17◦33.4 261◦36.6 -16◦25.9 215◦19.1 -22◦31.02 143◦29.5 206◦23.3 -22◦02.3 273◦22.7 -17◦33.8 276◦38.7 -16◦26.0 230◦21.2 -22◦31.03 158◦32.0 221◦22.4 -22◦01.8 288◦23.6 -17◦34.2 291◦40.8 -16◦26.1 245◦23.4 -22◦31.04 173◦34.4 236◦21.5 -22◦01.3 303◦24.5 -17◦34.6 306◦42.9 -16◦26.2 260◦25.5 -22◦31.05 188◦36.9 251◦20.7 -22◦00.8 318◦25.4 -17◦35.0 321◦45.0 -16◦26.3 275◦27.7 -22◦31.06 203◦39.4 266◦19.8 -22◦00.3 333◦26.3 -17◦35.4 336◦47.1 -16◦26.4 290◦29.9 -22◦31.07 218◦41.8 281◦18.9 -21◦59.8 348◦27.2 -17◦35.9 351◦49.2 -16◦26.5 305◦32.0 -22◦31.08 233◦44.3 296◦18.0 -21◦59.3 3◦28.1 -17◦36.3 6◦51.3 -16◦26.6 320◦34.2 -22◦31.09 248◦46.8 311◦17.1 -21◦58.8 18◦29.0 -17◦36.7 21◦53.4 -16◦26.7 335◦36.3 -22◦31.010 263◦49.2 326◦16.2 -21◦58.3 33◦29.9 -17◦37.1 36◦55.5 -16◦26.8 350◦38.5 -22◦31.011 278◦51.7 341◦15.3 -21◦57.8 48◦30.8 -17◦37.5 51◦57.6 -16◦26.9 5◦40.6 -22◦30.912 293◦54.2 356◦14.5 -21◦57.3 63◦31.7 -17◦37.9 66◦59.7 -16◦27.0 20◦42.8 -22◦30.913 308◦56.6 11◦13.6 -21◦56.8 78◦32.6 -17◦38.3 82◦01.8 -16◦27.0 35◦45.0 -22◦30.914 323◦59.1 26◦12.7 -21◦56.3 93◦33.5 -17◦38.7 97◦03.9 -16◦27.1 50◦47.1 -22◦30.915 339◦01.6 41◦11.8 -21◦55.8 108◦34.4 -17◦39.2 112◦06.0 -16◦27.2 65◦49.3 -22◦30.916 354◦04.0 56◦10.9 -21◦55.3 123◦35.3 -17◦39.6 127◦08.1 -16◦27.3 80◦51.4 -22◦30.917 9◦06.5 71◦10.1 -21◦54.8 138◦36.1 -17◦40.0 142◦10.2 -16◦27.4 95◦53.6 -22◦30.918 24◦08.9 86◦09.2 -21◦54.3 153◦37.0 -17◦40.4 157◦12.3 -16◦27.5 110◦55.8 -22◦30.919 39◦11.4 101◦08.3 -21◦53.7 168◦37.9 -17◦40.8 172◦14.4 -16◦27.6 125◦57.9 -22◦30.920 54◦13.9 116◦07.4 -21◦53.2 183◦38.8 -17◦41.2 187◦16.5 -16◦27.7 141◦00.1 -22◦30.921 69◦16.3 131◦06.5 -21◦52.7 198◦39.7 -17◦41.6 202◦18.6 -16◦27.8 156◦02.2 -22◦30.922 84◦18.8 146◦05.7 -21◦52.2 213◦40.6 -17◦42.0 217◦20.7 -16◦27.9 171◦04.4 -22◦30.923 99◦21.3 161◦04.8 -21◦51.7 228◦41.5 -17◦42.4 232◦22.8 -16◦28.0 186◦06.6 -22◦30.9Mer.pass.:16:23 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5


StarsSHA Dec

Alpheratz 357◦40.4 29◦11.5Ankaa 353◦12.8 -42◦12.8

Schedar 349◦37.0 56◦38.3Diphda 348◦52.8 -17◦53.5


Aldebaran 290◦45.6 16◦32.6Rigel 281◦08.8 -8◦11.1



Sirius 258◦30.6 -16◦44.5Adara 255◦09.7 -29◦00.0



De

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