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In memory of

Roald AmundsenFirst to the South Pole

The Nautical Almanac- 1911

The Nautical Almanac for 1911

Contents

Topic Page

Credits, Acknowledgment and Disclaimer 3

About Roald Amundsen 4-7

Explanation of The Daily Pages 8-11

Equation of Time curve 12

Formulas 13-15

Useful Links 16

The 1911 Daily Pages (The Nautical Almanac) 17-260

Increments & Corrections (The Yellow Pages) 261-280

Corrections for Dip, Refraction and Moon Parallax 281

Conversion of Arc to Time 282

USNO Navigational Star Chart 283

1911tocr.odt

Acknowledgment and Credits

Dr. Enno Rodegerdts

The Nautical Almanac Daily Pages and Sun Almanacs found herein and on our site were createdor derived from PyAlmanac written by the great Norwegian sailor Enno Rodegerdts. PyAlmanacuses PyEphem to generate the almanacs and LaTex provides the final formatting. Visit Dr.Rodegerdts site and learn of his voyages at https://sv-inua.net/

Without his work TheNauticalAlmanac.com wouldn't exist.

Andrew Bauer

Mr. Bauer has taken the initial work of Dr. Rodegerdts and improved it to the excellence nowfound in the following Daily Pages. Attending foremost to the accuracy of data and thenformatting Mr. Bauer modified PyAlmanac to provide a clear arrangement of figures needed forcelestial navigation. To that end his work was determined, tireless and efficient. In our mutualwriting across many lines of longitude he has always been pleasant, friendly and most affable.

As he has said, "The art of celestial navigation should be promoted, not discouraged, even in themodern day".

To both of these men we all owe a large debt of gratitude and thanks

Disclaimer and Warning

Prior to use verify the accuracy of The Nautical Almanac or data you download from our site.They SHOULD NOT and MUST NOT be relied upon for celestial navigation work of any sorts orany purpose whatsoever. You use them at your own risk or peril.

Errors & Corrections

Contact us if you find any significant errors and describe the correction that should be made.

Copyright 2019 TheNauticalAlmanac.com

You are free to copy and distribute this document in its entirety but never sell it.

freely ye received, freely give

The letter

Roald Amundsen's expedition reached the South Pole on December 14, 1911 and left the followinghand written letter, which is a photograph of the original, addressed to Norway's King Haakon VII inPoleheim at The South Pole. Robert Scott of the British expedition, reaching The Pole on January17, 1912, found the letter and noticed that Mr. Amundsen had asked him to deliver the letter toKing Haakon. Scott was somewhat mad that Amundsen expected him to deliver his mail. Theassumption, of course, is that Scott would deliver the letter if Amundsen had perished.

The letter's translation use is by the kind permission of The Fram Museum where rests the mostnoble ship The Fram. Please visit- www.FramMuseum.no

We pass all commentary now and dedicate this Nautical Almanac to the greatest explorer of the20th century.

Appendix IV is taken directly from Roald Amundsen's The South Pole, Volumes 1 and 2

APPENDIX IV: The Astronomical Observations at the Pole

Note by Professor H. Geelmuyden

Christiania,

September 16, 1912.

When requested this summer to receive the astronomical observations from Roald Amundsen's South Pole Expedition, for the purpose of working them out, I at once put myself in communication with Mr. A. Alexander (a mathematical master) to get him to undertake this work, while indicating the manner in which the materials could be best dealt with. As Mr. Alexander had in a very efficient manner participated in the working out of the observations from Nansen's Fram Expedition, and since then had calculated the astronomical observations from Amundsen's Gjöa Expedition, and from Captain Isachsen's expeditions to Spitzbergen, I knew by experience that he was not only a reliable and painstaking calculator, but that he also has so full an insight into the theoretical basis, that he is capable of working without being bound down by instructions.

(Signed) H. Geelmuyden,

Professor of Astronomy,

The Observatory of the University,

Christiania.

Mr. Alexander's Report.

Captain Roald Amundsen,

At your request I shall here give briefly the result of my examination of the observations from your South Pole Expedition. My calculations are based on the longitude for Framheim given to me by Lieutenant Prestrud, 163º 37' W. of Greenwich. He describes this longitude as provisional, but only to such an extent that the final result cannot differ appreciably from it. My own results may also be somewhat modified on a final treatment of the material. But these modifications, again, will only be immaterial, and, in any case, will not affect the result of the investigations given below as to the position of the two Polar stations.

At the first Polar station, on December 15, 1911, eighteen altitudes of the sun were taken in all with each of the expedition's sextants. The latitude calculated from these altitudes is, on an average of both sextants, very near 89º 54', with a mean error of +-2'. The longitude calculated from the altitudes is about 7t (105º) E.; but, as might be expected in this high latitude, the aberrations are very considerable. We may, however, assume with great certainty that this station lies between lat. 89º 52' and 89º 56' S., and between long. 90º and 120º E.

The variation of the compass at the first Polar station was determined by a series of bearings of thesun. This gives us the absolute direction of the last day's line of route. The length of this line was measured as five and a half geographical miles. With the help of this we are able to construct for Polheim a field of the same form and extent as that within which the first Polar station must lie.

At Polheim, during a period of twenty-four hours (December 16 -- 17), observations were taken every hour with one of the sextants. The observations show an upper culmination altitude of 28º 19.2', and a resulting lower culmination altitude of 23º 174'. These combining the above two

altitudes, an equal error on the same side in each will have no influence on the result. The combination gives a latitude of 89º 58.6'. That this result must be nearly correct is confirmed by theconsiderable displacement of the periods of culmination which is indicated by the series of observations, and which in the immediate neighbourhood of the Pole is caused by the change in thesun's declination. On the day of the observations this displacement amounted to thirty minutes in 89º 57', forty-six minutes in 89º 58', and over an hour and a half in 89º 59'. The upper culmination occurred so much too late, and the lower culmination so much too early. The interval between these two periods was thus diminished by double the amount of the displacements given. Now the series of observations shows that the interval between the upper and the lower culmination amounted at the most to eleven hours; the displacement of the periods of culmination was thus at least half an hour. It results that Polheim must lie south of 89º 57', while at the same time we may assume that it cannot lie south of 89º 59'. The moments of culmination could, of course, only be determined very approximately, and in the same way the observations as a whole are unserviceablefor the determination of longitude. It may, however, be stated with some certainty that the longitude must be between 30º and 75º E. The latitude, as already mentioned, is between 89º 57' and 89º 59', and the probable position of Polheim may be given roughly as lat. 89º 58.5' S., and long. 60º E.

On the accompanying sketch-chart the letters abcd indicate the field within which the first Polar station must lie; ABCD is the field which is thereby assigned to Polheim; EFGH the field within whichPolheim must lie according to the observations taken on the spot itself; P the probable position of Polheim, and L the resulting position of the first Polar station. The position thus assigned to the latter agrees as well as could be expected with the average result of the observations of December15. According to this, Polheim would be assumed to lie one and a half geographical miles, or barely three kilometres, from the South Pole, and certainly not so much as six kilometres from it.

From your verbal statement I learn that Helmer Hanssen and Bjaaland walked four geographical miles from Polheim in the direction taken to be south on the basis of the observations. On the chartthe letters efgh give the field within which the termination of their line of route must lie. It will be seen from this that they passed the South Pole at a distance which, on the one hand, can hardly have been so great as two and a half kilometres, and on the other, hardly so great as two kilometres; that, if the assumed position of Polheim be correct, they passed the actual Pole at a distance of between 400 and 600 metres; and that it is very probable that they passed the actual Pole at a distance of a few hundred metres, perhaps even less.

I am, etc.,

(Signed) Anton Alexander.

Christiania,

September 22, 1912.

Explanation of The Nautical Almanac Daily Pages Refer to the next several pages

1 Date and Time based on GMT/UT

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

3GHA 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.

4 m- 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.

5 Stars- 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.

7 SHA- planet SHA. Planet SHA is calculated by subtracting Aries GHA from planet GHA. If planet GHAfigure is less than Aries GHA, add 360° to planet GHA and then subtract Aries GHA.

8 Horizontal parallax- for Venus and Mars.

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

10 d- the amount the declination of the Sun changes per hour.

11The 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.

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

13

The Moon's declination d correction. It's the amount of declination the Moon changes per hour. Theamount to correct the Moon's declination using d is determined by the minutes and seconds of time of theMoon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. The dcorrection 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 from the integral hour of the observation you made then add the d increment and increasethe value of the declination. If the declination is decreasing from the integral hour of the observation youmade then subtract the d increment and decrease the value of the declination. Make sure to put the N orS “back on” the corrected declination so you know which hemisphere the Moon's in.

14HP- 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

15

Sun- Eqn. of Time- In its simplicity the Equation of Time is the difference between clock time and timeseen on a Sundial. That is comparing “clock time”, as a mechanical measurement of time, and the Sundialbeing time determined by the position of the Sun at any given hour. The figures listed are for GMT/UT at00h and 12h. If you look at Mer. Pass just to the right of the Eqn. of Time you'll find, approximately, whenthe 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 to determine when Local Apparent Noonis at The Prime Meridian. You can calculate, approximately, when LAN is at your Longitude by adding, orsubtracting the amount of time difference between you and Greenwich and the Equation of Time. AnEquation of Time chart is provided in each almanac on TheNauticalAlmanac.com

Example- May 30, 2016. Mer. Pass is at UT 11:58. 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

16 Sun- 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.

17

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°).

18

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

Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of the Moon is illuminated. A 3 day range percentage is provided but only one graphic for the phase.

19*see notes 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.

19*see notes 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.

19*see notes 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.

19*see notes 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.

19*see notes 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.

19*see notes 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.

20*see notes 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.

20*see notes 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.

* Note-

▭ means the Sun or Moon remains continuously above the horizon (in some cases twilight all night):‒:‒ ‒:‒ can also mean twilight lasts all night

▬ means the Sun or Moon remains continuously below the horizon.: ‒:‒ ‒:‒ means Moon does not rise or set on that day but may have risen or set the previous day or following day.

* 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.

Sunrise, Sunset and twilight figures can be considered as approximate LMT (Local Mean Time) of the phenomena.

Explanation of The Nautical Almanac Daily Pages.odtJune 15, 2019

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1817161514131211109

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Equation_of_Time_Curve.odt

Equation of Timefor the Sun

Tim

e in

min

u tes

Sun

is r

un n

ing

Sl o

w

Sun

is r

unn

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Fas

t

-20

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-8

-4

0

4

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12

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20

January February March April May June July August September October November December

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 Note- Sin-1 is the arc-sin key

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... Note- Cos-1 is the arc-cosine key

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... Note- tan-1 is the arc-tangent key

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) Gives good results down to about 8° from the horizon but not less.

Refraction (good overall formula from 90° to below 8° from the horizon)

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

1 ÷ Tan((Ha + (7.31 ÷ (Ha + 4.4))

Both refraction formulas use the standard pressure and temperature of;

1010 mb 10° C 29.83 in 53° F

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 )

Rules to Calculate Latitude using the Sun- Noon-Sight

1- Latitude and declination Same name but latitude is greater than declination:

Latitude= (90º – Ho) + declination

2- Latitude and declination Same name but declination greater than latitude:

Latitude= Declination – (90º – Ho)

3- Latitude and declination Contrary name:

Latitude= (90o – Ho) – Declination

To get AP longitude (needed for plotting the LOP)

In Western longitudes

Combine the DR Longitude figure with only the minutes (of arc) of the total GHA figure. The Ap λfigure will be used when plotting the LOP on the UPS.

In Eastern longitudes

In Eastern longitudes the Ap λ is determined as follows;

DR longitude + (0°60' minus GHA minutes of arc)

Example- E 075° + (0°60' – 0° 02')= 75° 58' Ap longitude

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

Formula Sheet added to NA.odt

Useful Information

Time Signals- by telephone

WWV 303-499-7111 WWVH 808-335-4363

CHU English: 613-745-1576 (CHU provides only Eastern time announcements)French: 613-745-9426

Time signals- by Radio

WWV (Fort Collins, Colorado) 2.5, 5, 10, 15, 20 MHz (male voice)WWVH ( Kauai, Hawaii) 2.5, 5, 10, 15 MHz (female voice)CHU (Ottawa, Canada) 3330, 7850, and 14,670 kHz (USB)

Bowditch 2017- The American Practical Navigator

https://TheNauticalAlmanac.com/2017_Bowditch-_American_Practical_Navigator.html

Organized in a convenient and useful manner. Download the Chapters, Parts or Tables you want or the entire work.

The Terrestrial Almanac Annual calendar and day planner for the entire year.

https://TheNauticalAlmanac.com/TerrestrialAlmanac.html

Pub. No. 249 Download individual Latitudes or Volumes

https://TheNauticalAlmanac.com/Pub. No. 249.html

Pub. No. 229 Download individual Volumes covering a range of Latitudes

https://TheNauticalAlmanac.com/Pub. No. 229.html

Sight Reduction Forms & Methods

https://www.TheNauticalAlmanac.com/Methods.html

Time Signals and Links.odt

https://TheNauticalAlmanac.com/Pub.%20No.%20229.htmlhttps://TheNauticalAlmanac.com/Pub.%20No.%20249.htmlhttps://TheNauticalAlmanac.com/TerrestrialAlmanac.html

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

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 99◦31.6 169◦53.4 S23◦14.8 213◦15.7 S21◦39.4 242◦02.0 S13◦35.8 71◦00.2 N08◦59.61 114◦34.0 184◦52.4 14.5 228◦16.3 39.7 257◦04.1 35.9 86◦02.7 59.62 129◦36.5 199◦51.5 14.1 243◦17.0 40.0 272◦06.2 36.1 101◦05.2 59.63 144◦39.0 214◦50.6 · · 13.8 258◦17.6 · · 40.3 287◦08.3 · · 36.2 116◦07.6 · · 59.64 159◦41.4 229◦49.6 13.4 273◦18.2 40.6 302◦10.4 36.3 131◦10.1 59.65 174◦43.9 244◦48.7 13.1 288◦18.8 40.9 317◦12.5 36.4 146◦12.6 59.7

6 189◦46.4 259◦47.7 S23◦12.7 303◦19.4 S21◦41.2 332◦14.5 S13◦36.5 161◦15.1 N08◦59.77 204◦48.8 274◦46.8 12.4 318◦20.0 41.5 347◦16.6 36.6 176◦17.5 59.78 219◦51.3 289◦45.9 12.0 333◦20.6 41.8 2◦18.7 36.8 191◦20.0 59.79 234◦53.7 304◦44.9 · · 11.7 348◦21.2 · · 42.1 17◦20.8 · · 36.9 206◦22.5 · · 59.710 249◦56.2 319◦44.0 11.3 3◦21.8 42.4 32◦22.9 37.0 221◦25.0 59.711 264◦58.7 334◦43.1 10.9 18◦22.4 42.7 47◦25.0 37.1 236◦27.4 59.7

12 280◦01.1 349◦42.2 S23◦10.6 33◦23.0 S21◦43.0 62◦27.0 S13◦37.2 251◦29.9 N08◦59.713 295◦03.6 4◦41.2 10.2 48◦23.6 43.3 77◦29.1 37.3 266◦32.4 59.714 310◦06.1 19◦40.3 09.9 63◦24.2 43.6 92◦31.2 37.5 281◦34.8 59.715 325◦08.5 34◦39.4 · · 09.5 78◦24.8 · · 44.0 107◦33.3 · · 37.6 296◦37.3 · · 59.816 340◦11.0 49◦38.4 09.1 93◦25.4 44.3 122◦35.4 37.7 311◦39.8 59.817 355◦13.5 64◦37.5 08.8 108◦26.0 44.6 137◦37.5 37.8 326◦42.3 59.8

18 10◦15.9 79◦36.6 S23◦08.4 123◦26.6 S21◦44.9 152◦39.6 S13◦37.9 341◦44.7 N08◦59.819 25◦18.4 94◦35.6 08.0 138◦27.2 45.2 167◦41.6 38.0 356◦47.2 59.820 40◦20.9 109◦34.7 07.7 153◦27.8 45.5 182◦43.7 38.2 11◦49.7 59.821 55◦23.3 124◦33.8 · · 07.3 168◦28.4 · · 45.8 197◦45.8 · · 38.3 26◦52.1 · · 59.822 70◦25.8 139◦32.8 06.9 183◦29.0 46.1 212◦47.9 38.4 41◦54.6 59.823 85◦28.2 154◦31.9 06.5 198◦29.6 46.4 227◦50.0 38.5 56◦57.1 59.8

Mer.pass.:17:19 v-0.9 d0.3 m-3.8 v0.6 d-0.3 m1.6 v2.1 d-0.1 m-1.7 v2.5 d0.0 m0.3

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 100◦30.7 169◦31.0 S23◦06.2 213◦30.2 S21◦46.7 242◦52.1 S13◦38.6 71◦59.5 N08◦59.91 115◦33.2 184◦30.1 05.8 228◦30.8 47.0 257◦54.2 38.7 87◦02.0 59.92 130◦35.6 199◦29.1 05.4 243◦31.4 47.3 272◦56.3 38.9 102◦04.5 59.93 145◦38.1 214◦28.2 · · 05.0 258◦32.0 · · 47.6 287◦58.3 · · 39.0 117◦07.0 · · 59.94 160◦40.6 229◦27.3 04.6 273◦32.6 47.9 303◦00.4 39.1 132◦09.4 59.95 175◦43.0 244◦26.4 04.3 288◦33.2 48.2 318◦02.5 39.2 147◦11.9 59.9

6 190◦45.5 259◦25.4 S23◦03.9 303◦33.8 S21◦48.5 333◦04.6 S13◦39.3 162◦14.4 N08◦59.97 205◦48.0 274◦24.5 03.5 318◦34.4 48.8 348◦06.7 39.4 177◦16.8 59.98 220◦50.4 289◦23.6 03.1 333◦35.0 49.1 3◦08.8 39.5 192◦19.3 08◦59.99 235◦52.9 304◦22.7 · · 02.7 348◦35.6 · · 49.4 18◦10.9 · · 39.7 207◦21.8 09◦00.010 250◦55.4 319◦21.7 02.3 3◦36.2 49.7 33◦13.0 39.8 222◦24.2 00.011 265◦57.8 334◦20.8 02.0 18◦36.8 50.0 48◦15.1 39.9 237◦26.7 00.0

12 281◦00.3 349◦19.9 S23◦01.6 33◦37.4 S21◦50.2 63◦17.1 S13◦40.0 252◦29.2 N09◦00.013 296◦02.7 4◦19.0 01.2 48◦38.0 50.5 78◦19.2 40.1 267◦31.6 00.014 311◦05.2 19◦18.0 00.8 63◦38.6 50.8 93◦21.3 40.2 282◦34.1 00.015 326◦07.7 34◦17.1 · · 00.4 78◦39.2 · · 51.1 108◦23.4 · · 40.3 297◦36.6 · · 00.016 341◦10.1 49◦16.2 23◦00.0 93◦39.8 51.4 123◦25.5 40.5 312◦39.0 00.017 356◦12.6 64◦15.3 22◦59.6 108◦40.3 51.7 138◦27.6 40.6 327◦41.5 00.1

18 11◦15.1 79◦14.3 S22◦59.2 123◦40.9 S21◦52.0 153◦29.7 S13◦40.7 342◦44.0 N09◦00.119 26◦17.5 94◦13.4 58.8 138◦41.5 52.3 168◦31.8 40.8 357◦46.4 00.120 41◦20.0 109◦12.5 58.4 153◦42.1 52.6 183◦33.9 40.9 12◦48.9 00.121 56◦22.5 124◦11.6 · · 58.0 168◦42.7 · · 52.9 198◦36.0 · · 41.0 27◦51.4 · · 00.122 71◦24.9 139◦10.7 57.6 183◦43.3 53.2 213◦38.1 41.1 42◦53.8 00.123 86◦27.4 154◦09.7 57.2 198◦43.9 53.5 228◦40.1 41.3 57◦56.3 00.1


Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 101◦29.9 169◦08.8 S22◦56.8 213◦44.5 S21◦53.8 243◦42.2 S13◦41.4 72◦58.8 N09◦00.11 116◦32.3 184◦07.9 56.4 228◦45.1 54.1 258◦44.3 41.5 88◦01.2 00.22 131◦34.8 199◦07.0 56.0 243◦45.7 54.4 273◦46.4 41.6 103◦03.7 00.23 146◦37.2 214◦06.1 · · 55.6 258◦46.3 · · 54.7 288◦48.5 · · 41.7 118◦06.2 · · 00.24 161◦39.7 229◦05.1 55.2 273◦46.9 54.9 303◦50.6 41.8 133◦08.6 00.25 176◦42.2 244◦04.2 54.8 288◦47.5 55.2 318◦52.7 41.9 148◦11.1 00.2

6 191◦44.6 259◦03.3 S22◦54.4 303◦48.1 S21◦55.5 333◦54.8 S13◦42.1 163◦13.5 N09◦00.27 206◦47.1 274◦02.4 53.9 318◦48.7 55.8 348◦56.9 42.2 178◦16.0 00.28 221◦49.6 289◦01.5 53.5 333◦49.3 56.1 3◦59.0 42.3 193◦18.5 00.29 236◦52.0 304◦00.6 · · 53.1 348◦49.9 · · 56.4 19◦01.1 · · 42.4 208◦20.9 · · 00.310 251◦54.5 318◦59.6 52.7 3◦50.5 56.7 34◦03.2 42.5 223◦23.4 00.311 266◦57.0 333◦58.7 52.3 18◦51.0 57.0 49◦05.3 42.6 238◦25.9 00.3

12 281◦59.4 348◦57.8 S22◦51.9 33◦51.6 S21◦57.3 64◦07.4 S13◦42.7 253◦28.3 N09◦00.313 297◦01.9 3◦56.9 51.4 48◦52.2 57.6 79◦09.5 42.9 268◦30.8 00.314 312◦04.3 18◦56.0 51.0 63◦52.8 57.8 94◦11.5 43.0 283◦33.3 00.315 327◦06.8 33◦55.1 · · 50.6 78◦53.4 · · 58.1 109◦13.6 · · 43.1 298◦35.7 · · 00.316 342◦09.3 48◦54.2 50.2 93◦54.0 58.4 124◦15.7 43.2 313◦38.2 00.417 357◦11.7 63◦53.2 49.7 108◦54.6 58.7 139◦17.8 43.3 328◦40.6 00.4

18 12◦14.2 78◦52.3 S22◦49.3 123◦55.2 S21◦59.0 154◦19.9 S13◦43.4 343◦43.1 N09◦00.419 27◦16.7 93◦51.4 48.9 138◦55.8 59.3 169◦22.0 43.5 358◦45.6 00.420 42◦19.1 108◦50.5 48.5 153◦56.4 59.6 184◦24.1 43.6 13◦48.0 00.421 57◦21.6 123◦49.6 · · 48.0 168◦57.0 21◦59.8 199◦26.2 · · 43.8 28◦50.5 · · 00.422 72◦24.1 138◦48.7 47.6 183◦57.6 22◦00.1 214◦28.3 43.9 43◦52.9 00.423 87◦26.5 153◦47.8 47.2 198◦58.1 00.4 229◦30.4 44.0 58◦55.4 00.5


StarsSHA Dec

Alpheratz 359◦03.6 28◦36.0Ankaa 354◦31.8 -42◦47.7

Schedar 351◦08.6 56◦03.2Diphda 350◦13.2 -18◦28.7

Achernar 336◦23.8 -57◦41.6Hamal 329◦27.8 23◦02.6Polaris 338◦12.1 88◦50.2Akamar 316◦16.5 -40◦39.8Menkar 315◦35.6 3◦44.5Mirfak 310◦30.6 49◦32.9

Aldebaran 292◦17.7 16◦20.0Rigel 282◦25.9 -8◦18.2

Capella 282◦28.2 45◦54.7Bellatrix 279◦54.5 6◦16.3Elnath 279◦49.9 28◦32.1Alnilam 277◦04.4 -1◦15.4

Betelgeuse 272◦24.6 7◦23.5Canopus 264◦29.9 -52◦38.7

Sirius 259◦41.3 -16◦35.3Adara 256◦12.8 -28◦50.9

Procyon 246◦20.1 5◦27.5Pollux 245◦01.6 28◦14.6Avior 234◦49.3 -59◦13.1Suhail 223◦49.0 -43◦04.1

Miaplacidus 221◦56.1 -69◦20.7Alphard 219◦11.7 -8◦16.2Regulus 209◦05.4 12◦24.2Dubhe 195◦26.0 62◦13.7

Denebola 183◦52.2 15◦04.2Gienah 177◦11.7 -17◦02.7Acrux 174◦35.7 -62◦36.0

Gacrux 173◦27.0 -56◦36.6Alioth 167◦28.3 56◦26.3Spica 159◦52.7 -10◦41.7Alkaid 153◦59.7 49◦45.2Hadar 150◦37.6 -59◦56.4

Menkent 149◦38.8 -35◦55.8Arcturus 147◦06.1 19◦38.9

Rigil Kent. 141◦37.3 -60◦27.5Kochab 137◦16.1 74◦30.9

Zuben’ubi 138◦31.1 -15◦40.3Alphecca 127◦16.6 27◦00.7Antares 114◦01.3 -26◦14.1

Atria 110◦12.8 -68◦51.8Sabik 103◦41.4 -15◦37.0

Shaula 98◦07.2 -37◦02.4Rasalhague 97◦18.5 12◦37.3

Eltanin 91◦22.5 51◦29.8Kaus Aust. 85◦26.6 -34◦25.7

Vega 81◦31.7 38◦41.9Nunki 77◦34.4 -26◦24.6Altair 63◦24.0 8◦37.8

Peacock 55◦21.5 -57◦01.5Deneb 50◦24.6 44◦57.7

Enif 35◦03.2 9◦27.9Al Na’ir 29◦21.0 -47◦23.8

Fomalhaut 16◦49.3 -30◦05.9Scheat 15◦08.6 27◦36.0Markab 14◦55.5 14◦43.5

Jan 01 Sun SHA Mer.passVenus 70◦21.8 12:41Mars 113◦44.2 09:47

Jupiter 142◦30.5 07:51Saturn 331◦28.7 19:13

Jan 02 Mon SHA Mer.passVenus 69◦00.3 12:43Mars 112◦59.5 09:46

Jupiter 142◦21.4 07:47Saturn 331◦28.8 19:09

Jan 03 Tue SHA Mer.passVenus 67◦39.0 12:44Mars 112◦14.7 09:45

Jupiter 142◦12.4 07:44Saturn 331◦28.9 19:05

Horizontal parallaxVenus: 0.1Mars: 0.1

2

1911 January 01 to Jan. 03

h Sun MoonSun GHA Dec GHA ν Dec d HP

0 179◦13.7 S23◦06.9 174◦55.2 9.3’ S26◦58.5 1.5’ 54.8’1 194◦13.4 06.7 189◦23.5 9.3’ 26◦56.9 1.7’ 54.8’2 209◦13.1 06.5 203◦51.8 9.3’ 26◦55.2 1.8’ 54.8’3 224◦12.8 · · 06.3 218◦20.1 9.3’ 26◦53.3 1.9’ 54.8’4 239◦12.5 06.2 232◦48.4 9.3’ 26◦51.3 2.1’ 54.8’5 254◦12.2 06.0 247◦16.7 9.3’ 26◦49.2 2.2’ 54.8’

6 269◦11.9 S23◦05.8 261◦45.0 9.3’ S26◦46.9 2.3’ 54.8’7 284◦11.6 05.6 276◦13.3 9.3’ 26◦44.5 2.5’ 54.9’8 299◦11.3 05.4 290◦41.6 9.3’ 26◦41.9 2.6’ 54.9’9 314◦11.0 · · 05.2 305◦09.9 9.3’ 26◦39.3 2.8’ 54.9’10 329◦10.7 05.0 319◦38.2 9.3’ 26◦36.4 2.9’ 54.9’11 344◦10.4 04.8 334◦06.6 9.3’ 26◦33.5 3.0’ 54.9’

12 359◦10.2 S23◦04.7 348◦34.9 9.4’ S26◦30.4 3.2’ 54.9’13 14◦09.9 04.5 3◦03.3 9.4’ 26◦27.1 3.3’ 55.0’14 29◦09.6 04.3 17◦31.7 9.4’ 26◦23.7 3.4’ 55.0’15 44◦09.3 · · 04.1 32◦00.1 9.4’ 26◦20.2 3.6’ 55.0’16 59◦09.0 03.9 46◦28.5 9.4’ 26◦16.6 3.7’ 55.0’17 74◦08.7 03.7 60◦56.9 9.4’ 26◦12.8 3.9’ 55.0’

18 89◦08.4 S23◦03.5 75◦25.4 9.5’ S26◦08.9 4.0’ 55.0’19 104◦08.1 03.3 89◦53.8 9.5’ 26◦04.8 4.1’ 55.0’20 119◦07.8 03.1 104◦22.3 9.5’ 26◦00.6 4.3’ 55.1’21 134◦07.5 · · 02.9 118◦50.9 9.5’ 25◦56.3 4.4’ 55.1’22 149◦07.2 02.7 133◦19.4 9.6’ 25◦51.8 4.5’ 55.1’23 164◦06.9 02.5 147◦48.0 9.6’ 25◦47.2 4.7’ 55.1’

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

Mon GHA Dec GHA ν Dec d HP

0 179◦06.6 S23◦02.3 162◦16.6 9.6’ S25◦42.5 4.8’ 55.1’1 194◦06.3 02.1 176◦45.2 9.6’ 25◦37.6 4.9’ 55.1’2 209◦06.0 01.9 191◦13.8 9.7’ 25◦32.6 5.1’ 55.2’3 224◦05.7 · · 01.7 205◦42.5 9.7’ 25◦27.5 5.2’ 55.2’4 239◦05.4 01.5 220◦11.2 9.7’ 25◦22.3 5.3’ 55.2’5 254◦05.1 01.3 234◦39.9 9.8’ 25◦16.9 5.5’ 55.2’

6 269◦04.8 S23◦01.1 249◦08.7 9.8’ S25◦11.3 5.6’ 55.2’7 284◦04.5 00.9 263◦37.5 9.8’ 25◦05.7 5.7’ 55.2’8 299◦04.2 00.7 278◦06.4 9.9’ 24◦59.9 5.8’ 55.3’9 314◦03.9 · · 00.5 292◦35.2 9.9’ 24◦54.0 6.0’ 55.3’10 329◦03.6 00.3 307◦04.1 9.9’ 24◦47.9 6.1’ 55.3’11 344◦03.3 23◦00.1 321◦33.1 10.0’ 24◦41.8 6.2’ 55.3’

12 359◦03.0 S22◦59.8 336◦02.0 10.0’ S24◦35.5 6.4’ 55.3’13 14◦02.7 59.6 350◦31.1 10.0’ 24◦29.1 6.5’ 55.3’14 29◦02.4 59.4 5◦00.1 10.1’ 24◦22.5 6.6’ 55.4’15 44◦02.1 · · 59.2 19◦29.2 10.1’ 24◦15.8 6.7’ 55.4’16 59◦01.8 59.0 33◦58.3 10.2’ 24◦09.0 6.9’ 55.4’17 74◦01.5 58.8 48◦27.5 10.2’ 24◦02.1 7.0’ 55.4’

18 89◦01.2 S22◦58.6 62◦56.7 10.2’ S23◦55.0 7.1’ 55.4’19 104◦00.9 58.4 77◦26.0 10.3’ 23◦47.9 7.2’ 55.5’20 119◦00.7 58.1 91◦55.3 10.3’ 23◦40.6 7.4’ 55.5’21 134◦00.4 · · 57.9 106◦24.6 10.4’ 23◦33.1 7.5’ 55.5’22 149◦00.1 57.7 120◦54.0 10.4’ 23◦25.6 7.6’ 55.5’23 163◦59.8 57.5 135◦23.5 10.5’ 23◦17.9 7.7’ 55.5’

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

Tue GHA Dec GHA ν Dec d HP

0 178◦59.5 S22◦57.3 149◦52.9 10.5’ S23◦10.1 7.8’ 55.5’1 193◦59.2 57.0 164◦22.4 10.5’ 23◦02.2 8.0’ 55.6’2 208◦58.9 56.8 178◦52.0 10.6’ 22◦54.2 8.1’ 55.6’3 223◦58.6 · · 56.6 193◦21.6 10.6’ 22◦46.1 8.2’ 55.6’4 238◦58.3 56.4 207◦51.3 10.7’ 22◦37.8 8.3’ 55.6’5 253◦58.0 56.2 222◦21.0 10.7’ 22◦29.5 8.4’ 55.6’

6 268◦57.7 S22◦55.9 236◦50.7 10.8’ S22◦21.0 8.5’ 55.7’7 283◦57.4 55.7 251◦20.5 10.8’ 22◦12.4 8.7’ 55.7’8 298◦57.1 55.5 265◦50.4 10.9’ 22◦03.6 8.8’ 55.7’9 313◦56.8 · · 55.3 280◦20.3 10.9’ 21◦54.8 8.9’ 55.7’10 328◦56.5 55.0 294◦50.2 11.0’ 21◦45.9 9.0’ 55.7’11 343◦56.3 54.8 309◦20.2 11.0’ 21◦36.8 9.1’ 55.8’

12 358◦56.0 S22◦54.6 323◦50.2 11.1’ S21◦27.6 9.2’ 55.8’13 13◦55.7 54.3 338◦20.3 11.1’ 21◦18.4 9.3’ 55.8’14 28◦55.4 54.1 352◦50.5 11.2’ 21◦09.0 9.4’ 55.8’15 43◦55.1 · · 53.9 7◦20.6 11.2’ 20◦59.5 9.5’ 55.8’16 58◦54.8 53.6 21◦50.9 11.3’ 20◦49.9 9.7’ 55.8’17 73◦54.5 53.4 36◦21.1 11.3’ 20◦40.2 9.8’ 55.9’

18 88◦54.2 S22◦53.2 50◦51.5 11.4’ S20◦30.4 9.9’ 55.9’19 103◦53.9 52.9 65◦21.9 11.4’ 20◦20.5 10.0’ 55.9’20 118◦53.6 52.7 79◦52.3 11.5’ 20◦10.4 10.1’ 55.9’21 133◦53.3 · · 52.5 94◦22.8 11.5’ 20◦00.3 10.2’ 55.9’22 148◦53.0 52.2 108◦53.3 11.5’ 19◦50.1 10.3’ 56.0’23 163◦52.8 52.0 123◦23.9 11.6’ 19◦39.7 10.4’ 56.0’

SD.=16.3 d=0.2 S.D.=15.2

Lat.Twilight

Sunrise SunsetTwilight

Naut. Civil Civil Naut.

N 72◦ 08:24 10:43 13:25 15:44

N 70◦ 08:05 09:50 14:18 16:0368◦ 07:50 09:17 14:51 16:1866◦ 07:38 08:53 10:28 13:40 15:14 16:3064◦ 07:27 08:35 09:50 14:18 15:33 16:4162◦ 07:18 08:19 09:23 14:45 15:49 16:5060◦ 07:10 08:06 09:03 15:05 16:02 16:58

N 58◦ 07:02 07:55 08:46 15:22 16:13 17:0556◦ 06:56 07:45 08:32 15:36 16:23 17:1254◦ 06:50 07:36 08:19 15:49 16:32 17:1852◦ 06:44 07:28 08:08 15:59 16:40 17:2350◦ 06:39 07:21 07:59 16:09 16:47 17:2845◦ 06:28 07:05 07:39 16:29 17:03 17:40

N 40◦ 06:18 06:52 07:22 16:46 17:16 17:5035◦ 06:09 06:40 07:08 16:59 17:27 17:5930◦ 06:00 06:30 06:56 17:12 17:38 18:0820◦ 05:44 06:11 06:35 17:32 17:56 18:24

N 10◦ 05:28 05:54 06:17 17:50 18:13 18:390◦ 05:11 05:38 06:00 18:08 18:30 18:56

S 10◦ 04:53 05:20 05:43 18:25 18:48 19:1520◦ 04:31 05:00 05:24 18:43 19:08 19:3730◦ 04:02 04:35 05:03 19:05 19:32 20:0535◦ 03:44 04:20 04:50 19:18 19:47 20:2440◦ 03:21 04:02 04:35 19:32 20:05 20:4645◦ 02:51 03:40 04:17 19:50 20:27 21:16

S 50◦ 02:07 03:11 03:55 20:12 20:56 22:0052◦ 01:41 02:57 03:45 20:22 21:10 22:2554◦ 01:00 02:39 03:33 20:34 21:28 23:0556◦ 02:18 03:19 20:48 21:4958◦ 01:50 03:03 21:04 22:17

S 60◦ 01:06 02:43 21:24 23:00

Lat.Moonrise Moonset

Sun Mon Tue Sun Mon Tue

N 72◦

N 70◦

68◦ 13:29 15:4666◦ 12:34 16:3964◦ 12:18 12:01 15:10 17:1162◦ 11:27 11:35 11:37 14:12 15:52 17:3560◦ 10:45 11:07 11:17 14:54 16:20 17:53

N 58◦ 10:16 10:44 11:01 15:22 16:42 18:0956◦ 09:54 10:26 10:47 15:44 17:00 18:2254◦ 09:36 10:11 10:35 16:02 17:14 18:3352◦ 09:21 09:58 10:25 16:17 17:27 18:4450◦ 09:07 09:46 10:15 16:30 17:39 18:5245◦ 08:40 09:22 09:55 16:57 18:02 19:11

N 40◦ 08:18 09:02 09:39 17:19 18:21 19:2735◦ 08:00 08:46 09:25 17:36 18:37 19:3930◦ 07:45 08:32 09:13 17:52 18:50 19:5120◦ 07:18 08:07 08:53 18:17 19:13 20:10

N 10◦ 06:56 07:46 08:35 18:39 19:33 20:260◦ 06:35 07:27 08:18 19:00 19:52 20:41

S 10◦ 06:14 07:07 08:01 19:20 20:10 20:5720◦ 05:51 06:46 07:43 19:42 20:29 21:1330◦ 05:24 06:22 07:22 20:08 20:52 21:3135◦ 05:09 06:07 07:09 20:23 21:05 21:4240◦ 04:51 05:51 06:55 20:40 21:20 21:5445◦ 04:29 05:31 06:38 21:00 21:38 22:08

S 50◦ 04:01 05:05 06:17 21:26 22:00 22:2652◦ 03:48 04:53 06:07 21:39 22:10 22:3454◦ 03:32 04:39 05:55 21:53 22:22 22:4356◦ 03:13 04:23 05:42 22:10 22:36 22:5358◦ 02:51 04:03 05:27 22:29 22:51 23:05

S 60◦ 02:21 03:39 05:09 22:54 23:10 23:18

Day

Sun MoonEqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower 1-3mm:ss mm:ss hh:mm hh:mm hh:mm 1-8%

1 03:05 03:19 12:03 12:47 00:212 03:34 03:48 12:04 13:39 01:133 04:02 04:16 12:04 14:30 02:05

3

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

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 102◦29.0 168◦46.9 S22◦46.7 213◦58.7 S22◦00.7 244◦32.5 S13◦44.1 73◦57.9 N09◦00.51 117◦31.5 183◦45.9 46.3 228◦59.3 01.0 259◦34.6 44.2 89◦00.3 00.52 132◦33.9 198◦45.0 45.9 243◦59.9 01.3 274◦36.7 44.3 104◦02.8 00.53 147◦36.4 213◦44.1 · · 45.4 259◦00.5 · · 01.6 289◦38.8 · · 44.4 119◦05.3 · · 00.54 162◦38.8 228◦43.2 45.0 274◦01.1 01.8 304◦40.9 44.5 134◦07.7 00.55 177◦41.3 243◦42.3 44.6 289◦01.7 02.1 319◦43.0 44.7 149◦10.2 00.5

6 192◦43.8 258◦41.4 S22◦44.1 304◦02.3 S22◦02.4 334◦45.1 S13◦44.8 164◦12.6 N09◦00.67 207◦46.2 273◦40.5 43.7 319◦02.9 02.7 349◦47.2 44.9 179◦15.1 00.68 222◦48.7 288◦39.6 43.2 334◦03.5 03.0 4◦49.3 45.0 194◦17.5 00.69 237◦51.2 303◦38.7 · · 42.8 349◦04.0 · · 03.2 19◦51.4 · · 45.1 209◦20.0 · · 00.610 252◦53.6 318◦37.8 42.3 4◦04.6 03.5 34◦53.5 45.2 224◦22.5 00.611 267◦56.1 333◦36.9 41.9 19◦05.2 03.8 49◦55.6 45.3 239◦24.9 00.6

12 282◦58.6 348◦36.0 S22◦41.5 34◦05.8 S22◦04.1 64◦57.7 S13◦45.4 254◦27.4 N09◦00.613 298◦01.0 3◦35.0 41.0 49◦06.4 04.4 79◦59.8 45.5 269◦29.8 00.714 313◦03.5 18◦34.1 40.6 64◦07.0 04.6 95◦01.9 45.7 284◦32.3 00.715 328◦06.0 33◦33.2 · · 40.1 79◦07.6 · · 04.9 110◦04.0 · · 45.8 299◦34.8 · · 00.716 343◦08.4 48◦32.3 39.6 94◦08.2 05.2 125◦06.1 45.9 314◦37.2 00.717 358◦10.9 63◦31.4 39.2 109◦08.7 05.5 140◦08.2 46.0 329◦39.7 00.7

18 13◦13.3 78◦30.5 S22◦38.7 124◦09.3 S22◦05.8 155◦10.3 S13◦46.1 344◦42.1 N09◦00.719 28◦15.8 93◦29.6 38.3 139◦09.9 06.0 170◦12.4 46.2 359◦44.6 00.820 43◦18.3 108◦28.7 37.8 154◦10.5 06.3 185◦14.5 46.3 14◦47.0 00.821 58◦20.7 123◦27.8 · · 37.4 169◦11.1 · · 06.6 200◦16.6 · · 46.4 29◦49.5 · · 00.822 73◦23.2 138◦26.9 36.9 184◦11.7 06.9 215◦18.7 46.5 44◦52.0 00.823 88◦25.7 153◦26.0 36.4 199◦12.3 07.1 230◦20.8 46.7 59◦54.4 00.8


Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 103◦28.1 168◦25.1 S22◦36.0 214◦12.9 S22◦07.4 245◦22.9 S13◦46.8 74◦56.9 N09◦00.81 118◦30.6 183◦24.2 35.5 229◦13.4 07.7 260◦25.0 46.9 89◦59.3 00.92 133◦33.1 198◦23.3 35.1 244◦14.0 08.0 275◦27.1 47.0 105◦01.8 00.93 148◦35.5 213◦22.4 · · 34.6 259◦14.6 · · 08.3 290◦29.2 · · 47.1 120◦04.2 · · 00.94 163◦38.0 228◦21.5 34.1 274◦15.2 08.5 305◦31.3 47.2 135◦06.7 00.95 178◦40.5 243◦20.6 33.7 289◦15.8 08.8 320◦33.4 47.3 150◦09.1 00.9

6 193◦42.9 258◦19.7 S22◦33.2 304◦16.4 S22◦09.1 335◦35.5 S13◦47.4 165◦11.6 N09◦00.97 208◦45.4 273◦18.8 32.7 319◦17.0 09.3 350◦37.6 47.5 180◦14.1 00.98 223◦47.8 288◦17.9 32.2 334◦17.5 09.6 5◦39.7 47.6 195◦16.5 01.09 238◦50.3 303◦17.0 · · 31.8 349◦18.1 · · 09.9 20◦41.8 · · 47.8 210◦19.0 · · 01.010 253◦52.8 318◦16.1 31.3 4◦18.7 10.2 35◦43.9 47.9 225◦21.4 01.011 268◦55.2 333◦15.2 30.8 19◦19.3 10.4 50◦46.0 48.0 240◦23.9 01.0

12 283◦57.7 348◦14.3 S22◦30.4 34◦19.9 S22◦10.7 65◦48.1 S13◦48.1 255◦26.3 N09◦01.013 299◦00.2 3◦13.4 29.9 49◦20.5 11.0 80◦50.2 48.2 270◦28.8 01.014 314◦02.6 18◦12.5 29.4 64◦21.0 11.3 95◦52.3 48.3 285◦31.2 01.115 329◦05.1 33◦11.6 · · 28.9 79◦21.6 · · 11.5 110◦54.4 · · 48.4 300◦33.7 · · 01.116 344◦07.6 48◦10.7 28.4 94◦22.2 11.8 125◦56.5 48.5 315◦36.1 01.117 359◦10.0 63◦09.8 28.0 109◦22.8 12.1 140◦58.6 48.6 330◦38.6 01.1

18 14◦12.5 78◦08.9 S22◦27.5 124◦23.4 S22◦12.3 156◦00.7 S13◦48.7 345◦41.1 N09◦01.119 29◦14.9 93◦08.1 27.0 139◦24.0 12.6 171◦02.8 48.8 0◦43.5 01.220 44◦17.4 108◦07.2 26.5 154◦24.5 12.9 186◦04.9 49.0 15◦46.0 01.221 59◦19.9 123◦06.3 · · 26.0 169◦25.1 · · 13.1 201◦07.0 · · 49.1 30◦48.4 · · 01.222 74◦22.3 138◦05.4 25.5 184◦25.7 13.4 216◦09.1 49.2 45◦50.9 01.223 89◦24.8 153◦04.5 25.0 199◦26.3 13.7 231◦11.3 49.3 60◦53.3 01.2


Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 104◦27.3 168◦03.6 S22◦24.5 214◦26.9 S22◦14.0 246◦13.4 S13◦49.4 75◦55.8 N09◦01.21 119◦29.7 183◦02.7 24.1 229◦27.4 14.2 261◦15.5 49.5 90◦58.2 01.32 134◦32.2 198◦01.8 23.6 244◦28.0 14.5 276◦17.6 49.6 106◦00.7 01.33 149◦34.7 213◦00.9 · · 23.1 259◦28.6 · · 14.8 291◦19.7 · · 49.7 121◦03.1 · · 01.34 164◦37.1 228◦00.0 22.6 274◦29.2 15.0 306◦21.8 49.8 136◦05.6 01.35 179◦39.6 242◦59.1 22.1 289◦29.8 15.3 321◦23.9 49.9 151◦08.0 01.3

6 194◦42.1 257◦58.2 S22◦21.6 304◦30.4 S22◦15.6 336◦26.0 S13◦50.0 166◦10.5 N09◦01.37 209◦44.5 272◦57.4 21.1 319◦30.9 15.8 351◦28.1 50.2 181◦12.9 01.48 224◦47.0 287◦56.5 20.6 334◦31.5 16.1 6◦30.2 50.3 196◦15.4 01.49 239◦49.4 302◦55.6 · · 20.1 349◦32.1 · · 16.3 21◦32.3 · · 50.4 211◦17.8 · · 01.410 254◦51.9 317◦54.7 19.6 4◦32.7 16.6 36◦34.4 50.5 226◦20.3 01.411 269◦54.4 332◦53.8 19.1 19◦33.3 16.9 51◦36.5 50.6 241◦22.7 01.4

12 284◦56.8 347◦52.9 S22◦18.6 34◦33.8 S22◦17.1 66◦38.6 S13◦50.7 256◦25.2 N09◦01.513 299◦59.3 2◦52.0 18.1 49◦34.4 17.4 81◦40.8 50.8 271◦27.6 01.514 315◦01.8 17◦51.2 17.6 64◦35.0 17.7 96◦42.9 50.9 286◦30.1 01.515 330◦04.2 32◦50.3 · · 17.1 79◦35.6 · · 17.9 111◦45.0 · · 51.0 301◦32.5 · · 01.516 345◦06.7 47◦49.4 16.5 94◦36.1 18.2 126◦47.1 51.1 316◦35.0 01.517 0◦09.2 62◦48.5 16.0 109◦36.7 18.5 141◦49.2 51.2 331◦37.4 01.6

18 15◦11.6 77◦47.6 S22◦15.5 124◦37.3 S22◦18.7 156◦51.3 S13◦51.3 346◦39.9 N09◦01.619 30◦14.1 92◦46.7 15.0 139◦37.9 19.0 171◦53.4 51.4 1◦42.3 01.620 45◦16.6 107◦45.8 14.5 154◦38.5 19.2 186◦55.5 51.5 16◦44.8 01.621 60◦19.0 122◦45.0 · · 14.0 169◦39.0 · · 19.5 201◦57.6 · · 51.7 31◦47.2 · · 01.622 75◦21.5 137◦44.1 13.5 184◦39.6 19.8 216◦59.7 51.8 46◦49.7 01.623 90◦23.9 152◦43.2 12.9 199◦40.2 20.0 232◦01.8 51.9 61◦52.1 01.7


StarsSHA Dec

Alpheratz 359◦03.6 28◦36.0Ankaa 354◦31.9 -42◦47.7

Schedar 351◦08.7 56◦03.2Diphda 350◦13.2 -18◦28.7


Aldebaran 292◦17.7 16◦20.0Rigel 282◦25.9 -8◦18.2



Sirius 259◦41.3 -16◦35.3Adara 256◦12.8 -28◦50.9








Atria 110◦12.8 -68◦51.8Sabik 103◦41.4 -15◦37.0




Peacock 55◦21.5 -57◦01.5Deneb 50◦24.6 44◦57.7

Enif 35◦03.2 9◦27.9Al Na’ir 29◦21.0 -47◦23.8


Jan 04 Wed SHA Mer.passVenus 66◦17.9 12:46Mars 111◦29.7 09:44

Jupiter 142◦03.5 07:41Saturn 331◦28.9 19:01

Jan 05 Thu SHA Mer.passVenus 64◦57.0 12:47Mars 110◦44.7 09:43

Jupiter 141◦54.7 07:37Saturn 331◦28.7 18:57

Jan 06 Fri SHA Mer.passVenus 63◦36.3 12:49Mars 109◦59.6 09:42

Jupiter 141◦46.1 07:34Saturn 331◦28.5 18:53


4


h Sun MoonWed GHA Dec GHA ν Dec d HP

0 178◦52.5 S22◦51.8 137◦54.5 11.6’ S19◦29.3 10.5’ 56.0’1 193◦52.2 51.5 152◦25.1 11.7’ 19◦18.8 10.6’ 56.0’2 208◦51.9 51.3 166◦55.9 11.7’ 19◦08.2 10.7’ 56.1’3 223◦51.6 · · 51.0 181◦26.6 11.8’ 18◦57.4 10.8’ 56.1’4 238◦51.3 50.8 195◦57.4 11.8’ 18◦46.6 10.9’ 56.1’5 253◦51.0 50.6 210◦28.3 11.9’ 18◦35.7 11.0’ 56.1’

6 268◦50.7 S22◦50.3 224◦59.2 11.9’ S18◦24.7 11.1’ 56.1’7 283◦50.4 50.1 239◦30.2 12.0’ 18◦13.6 11.2’ 56.2’8 298◦50.2 49.8 254◦01.2 12.0’ 18◦02.4 11.2’ 56.2’9 313◦49.9 · · 49.6 268◦32.2 12.1’ 17◦51.1 11.3’ 56.2’10 328◦49.6 49.3 283◦03.3 12.1’ 17◦39.7 11.4’ 56.2’11 343◦49.3 49.1 297◦34.4 12.2’ 17◦28.2 11.5’ 56.2’

12 358◦49.0 S22◦48.8 312◦05.6 12.2’ S17◦16.6 11.6’ 56.3’13 13◦48.7 48.6 326◦36.8 12.2’ 17◦05.0 11.7’ 56.3’14 28◦48.4 48.3 341◦08.1 12.3’ 16◦53.2 11.8’ 56.3’15 43◦48.1 · · 48.1 355◦39.4 12.3’ 16◦41.4 11.9’ 56.3’16 58◦47.8 47.8 10◦10.8 12.4’ 16◦29.5 12.0’ 56.3’17 73◦47.6 47.6 24◦42.2 12.4’ 16◦17.5 12.0’ 56.4’

18 88◦47.3 S22◦47.3 39◦13.6 12.5’ S16◦05.4 12.1’ 56.4’19 103◦47.0 47.1 53◦45.1 12.5’ 15◦53.2 12.2’ 56.4’20 118◦46.7 46.8 68◦16.6 12.5’ 15◦41.0 12.3’ 56.4’21 133◦46.4 · · 46.6 82◦48.2 12.6’ 15◦28.7 12.4’ 56.5’22 148◦46.1 46.3 97◦19.8 12.6’ 15◦16.2 12.5’ 56.5’23 163◦45.8 46.1 111◦51.5 12.7’ 15◦03.8 12.5’ 56.5’

SD.=16.3 d=0.2 S.D.=15.3

Thu GHA Dec GHA ν Dec d HP

0 178◦45.6 S22◦45.8 126◦23.1 12.7’ S14◦51.2 12.6’ 56.5’1 193◦45.3 45.6 140◦54.9 12.7’ 14◦38.5 12.7’ 56.5’2 208◦45.0 45.3 155◦26.6 12.8’ 14◦25.8 12.8’ 56.6’3 223◦44.7 · · 45.0 169◦58.4 12.8’ 14◦13.0 12.8’ 56.6’4 238◦44.4 44.8 184◦30.2 12.8’ 14◦00.1 12.9’ 56.6’5 253◦44.1 44.5 199◦02.1 12.9’ 13◦47.2 13.0’ 56.6’

6 268◦43.8 S22◦44.2 213◦34.0 12.9’ S13◦34.2 13.1’ 56.7’7 283◦43.6 44.0 228◦06.0 13.0’ 13◦21.1 13.1’ 56.7’8 298◦43.3 43.7 242◦37.9 13.0’ 13◦07.9 13.2’ 56.7’9 313◦43.0 · · 43.5 257◦09.9 13.0’ 12◦54.7 13.3’ 56.7’10 328◦42.7 43.2 271◦42.0 13.0’ 12◦41.4 13.3’ 56.8’11 343◦42.4 42.9 286◦14.0 13.1’ 12◦28.0 13.4’ 56.8’

12 358◦42.1 S22◦42.7 300◦46.1 13.1’ S12◦14.6 13.5’ 56.8’13 13◦41.9 42.4 315◦18.2 13.1’ 12◦01.1 13.5’ 56.8’14 28◦41.6 42.1 329◦50.4 13.2’ 11◦47.5 13.6’ 56.8’15 43◦41.3 · · 41.9 344◦22.6 13.2’ 11◦33.9 13.7’ 56.9’16 58◦41.0 41.6 358◦54.8 13.2’ 11◦20.2 13.7’ 56.9’17 73◦40.7 41.3 13◦27.0 13.2’ 11◦06.4 13.8’ 56.9’

18 88◦40.4 S22◦41.0 27◦59.2 13.3’ S10◦52.6 13.8’ 56.9’19 103◦40.2 40.8 42◦31.5 13.3’ 10◦38.7 13.9’ 57.0’20 118◦39.9 40.5 57◦03.8 13.3’ 10◦24.8 14.0’ 57.0’21 133◦39.6 · · 40.2 71◦36.1 13.3’ 10◦10.8 14.0’ 57.0’22 148◦39.3 40.0 86◦08.5 13.4’ 09◦56.8 14.1’ 57.0’23 163◦39.0 39.7 100◦40.8 13.4’ 09◦42.7 14.1’ 57.1’

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

Fri GHA Dec GHA ν Dec d HP

0 178◦38.8 S22◦39.4 115◦13.2 13.4’ S09◦28.5 14.2’ 57.1’1 193◦38.5 39.1 129◦45.6 13.4’ 09◦14.3 14.2’ 57.1’2 208◦38.2 38.8 144◦18.0 13.4’ 09◦00.0 14.3’ 57.1’3 223◦37.9 · · 38.6 158◦50.5 13.4’ 08◦45.7 14.3’ 57.2’4 238◦37.6 38.3 173◦22.9 13.5’ 08◦31.3 14.4’ 57.2’5 253◦37.3 38.0 187◦55.4 13.5’ 08◦16.9 14.4’ 57.2’

6 268◦37.1 S22◦37.7 202◦27.8 13.5’ S08◦02.4 14.5’ 57.2’7 283◦36.8 37.4 217◦00.3 13.5’ 07◦47.9 14.5’ 57.3’8 298◦36.5 37.2 231◦32.8 13.5’ 07◦33.3 14.6’ 57.3’9 313◦36.2 · · 36.9 246◦05.3 13.5’ 07◦18.7 14.6’ 57.3’10 328◦35.9 36.6 260◦37.8 13.5’ 07◦04.1 14.7’ 57.3’11 343◦35.7 36.3 275◦10.3 13.5’ 06◦49.4 14.7’ 57.4’

12 358◦35.4 S22◦36.0 289◦42.9 13.5’ S06◦34.6 14.8’ 57.4’13 13◦35.1 35.7 304◦15.4 13.5’ 06◦19.8 14.8’ 57.4’14 28◦34.8 35.5 318◦47.9 13.5’ 06◦05.0 14.8’ 57.4’15 43◦34.6 · · 35.2 333◦20.5 13.5’ 05◦50.1 14.9’ 57.5’16 58◦34.3 34.9 347◦53.0 13.5’ 05◦35.2 14.9’ 57.5’17 73◦34.0 34.6 2◦25.5 13.5’ 05◦20.3 15.0’ 57.5’

18 88◦33.7 S22◦34.3 16◦58.1 13.5’ S05◦05.3 15.0’ 57.5’19 103◦33.4 34.0 31◦30.6 13.5’ 04◦50.3 15.0’ 57.6’20 118◦33.2 33.7 46◦03.1 13.5’ 04◦35.2 15.1’ 57.6’21 133◦32.9 · · 33.4 60◦35.7 13.5’ 04◦20.1 15.1’ 57.6’22 148◦32.6 33.1 75◦08.2 13.5’ 04◦05.0 15.1’ 57.6’23 163◦32.3 32.8 89◦40.7 13.5’ 03◦49.9 15.2’ 57.7’

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

Lat.Twilight



N 72◦ 08:21 10:34 13:37 15:50

N 70◦ 08:03 09:45 14:26 16:0868◦ 07:48 09:14 11:40 12:31 14:57 16:2366◦ 07:36 08:51 10:23 13:48 15:20 16:3564◦ 07:26 08:33 09:46 14:24 15:38 16:4562◦ 07:17 08:18 09:21 14:50 15:53 16:5460◦ 07:09 08:05 09:01 15:10 16:06 17:02

N 58◦ 07:02 07:54 08:44 15:26 16:17 17:0956◦ 06:55 07:44 08:31 15:40 16:27 17:1554◦ 06:50 07:35 08:18 15:52 16:35 17:2152◦ 06:44 07:28 08:08 16:03 16:43 17:2650◦ 06:39 07:20 07:58 16:12 16:50 17:3145◦ 06:28 07:05 07:39 16:32 17:06 17:42

N 40◦ 06:18 06:52 07:22 16:48 17:18 17:5235◦ 06:09 06:41 07:09 17:02 17:30 18:0130◦ 06:01 06:31 06:57 17:14 17:40 18:1020◦ 05:45 06:12 06:36 17:34 17:58 18:25

N 10◦ 05:29 05:56 06:18 17:52 18:15 18:410◦ 05:13 05:39 06:01 18:09 18:31 18:57

S 10◦ 04:55 05:22 05:44 18:26 18:49 19:1620◦ 04:33 05:02 05:26 18:44 19:09 19:3830◦ 04:04 04:37 05:05 19:05 19:33 20:0635◦ 03:46 04:23 04:52 19:18 19:47 20:2440◦ 03:24 04:05 04:38 19:32 20:05 20:4645◦ 02:55 03:43 04:20 19:50 20:27 21:15

S 50◦ 02:12 03:15 03:59 20:11 20:55 21:5752◦ 01:47 03:01 03:48 20:22 21:09 22:2254◦ 01:09 02:44 03:36 20:33 21:26 22:5956◦ 02:23 03:23 20:47 21:4658◦ 01:56 03:07 21:03 22:13

S 60◦ 01:15 02:48 21:21 22:52


Wed Thu Fri Wed Thu Fri

N 72◦ 13:57 12:45 12:06 17:01 19:51 22:08

N 70◦ 13:06 12:25 11:57 17:50 20:10 22:1468◦ 12:34 12:08 11:49 18:21 20:24 22:1966◦ 12:10 11:55 11:43 18:43 20:35 22:2364◦ 11:52 11:44 11:37 19:01 20:45 22:2662◦ 11:36 11:34 11:32 19:15 20:53 22:2960◦ 11:23 11:26 11:28 19:27 21:00 22:32

N 58◦ 11:12 11:19 11:25 19:38 21:06 22:3456◦ 11:02 11:13 11:21 19:47 21:12 22:3654◦ 10:53 11:07 11:18 19:55 21:16 22:3852◦ 10:45 11:02 11:16 20:02 21:21 22:4050◦ 10:38 10:57 11:13 20:08 21:25 22:4145◦ 10:23 10:47 11:08 20:22 21:33 22:44

N 40◦ 10:11 10:38 11:03 20:33 21:40 22:4735◦ 10:00 10:31 10:59 20:43 21:46 22:4930◦ 09:50 10:24 10:56 20:51 21:51 22:5120◦ 09:34 10:13 10:50 21:05 22:00 22:55

N 10◦ 09:20 10:03 10:44 21:18 22:08 22:580◦ 09:07 09:53 10:39 21:29 22:15 23:01

S 10◦ 08:53 09:44 10:34 21:41 22:23 23:0420◦ 08:39 09:34 10:29 21:53 22:30 23:0630◦ 08:22 09:22 10:23 22:07 22:39 23:1035◦ 08:12 09:16 10:19 22:14 22:44 23:1240◦ 08:01 09:08 10:15 22:23 22:49 23:1445◦ 07:48 08:59 10:10 22:34 22:56 23:16

S 50◦ 07:32 08:48 10:05 22:46 23:04 23:1952◦ 07:24 08:43 10:02 22:52 23:07 23:2054◦ 07:16 08:37 09:59 22:59 23:11 23:2256◦ 07:06 08:31 09:56 23:06 23:15 23:2358◦ 06:56 08:24 09:52 23:14 23:20 23:25

S 60◦ 06:43 08:16 09:48 23:23 23:25 23:27

Day



4 04:30 04:44 12:05 15:18 02:545 04:58 05:12 12:05 16:04 03:416 05:25 05:39 12:06 16:50 04:27

5

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

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 105◦26.4 167◦42.3 S22◦12.4 214◦40.8 S22◦20.3 247◦04.0 S13◦52.0 76◦54.6 N09◦01.71 120◦28.9 182◦41.4 11.9 229◦41.3 20.5 262◦06.1 52.1 91◦57.0 01.72 135◦31.3 197◦40.6 11.4 244◦41.9 20.8 277◦08.2 52.2 106◦59.4 01.73 150◦33.8 212◦39.7 · · 10.9 259◦42.5 · · 21.1 292◦10.3 · · 52.3 122◦01.9 · · 01.74 165◦36.3 227◦38.8 10.3 274◦43.1 21.3 307◦12.4 52.4 137◦04.3 01.85 180◦38.7 242◦37.9 09.8 289◦43.7 21.6 322◦14.5 52.5 152◦06.8 01.8

6 195◦41.2 257◦37.0 S22◦09.3 304◦44.2 S22◦21.8 337◦16.6 S13◦52.6 167◦09.2 N09◦01.87 210◦43.7 272◦36.2 08.8 319◦44.8 22.1 352◦18.7 52.7 182◦11.7 01.88 225◦46.1 287◦35.3 08.2 334◦45.4 22.3 7◦20.8 52.8 197◦14.1 01.89 240◦48.6 302◦34.4 · · 07.7 349◦46.0 · · 22.6 22◦23.0 · · 52.9 212◦16.6 · · 01.910 255◦51.0 317◦33.5 07.2 4◦46.5 22.9 37◦25.1 53.0 227◦19.0 01.911 270◦53.5 332◦32.7 06.6 19◦47.1 23.1 52◦27.2 53.1 242◦21.5 01.9

12 285◦56.0 347◦31.8 S22◦06.1 34◦47.7 S22◦23.4 67◦29.3 S13◦53.2 257◦23.9 N09◦01.913 300◦58.4 2◦30.9 05.6 49◦48.3 23.6 82◦31.4 53.4 272◦26.4 01.914 316◦00.9 17◦30.0 05.0 64◦48.8 23.9 97◦33.5 53.5 287◦28.8 02.015 331◦03.4 32◦29.1 · · 04.5 79◦49.4 · · 24.1 112◦35.6 · · 53.6 302◦31.2 · · 02.016 346◦05.8 47◦28.3 04.0 94◦50.0 24.4 127◦37.7 53.7 317◦33.7 02.017 1◦08.3 62◦27.4 03.4 109◦50.6 24.6 142◦39.9 53.8 332◦36.1 02.0

18 16◦10.8 77◦26.5 S22◦02.9 124◦51.1 S22◦24.9 157◦42.0 S13◦53.9 347◦38.6 N09◦02.019 31◦13.2 92◦25.7 02.4 139◦51.7 25.1 172◦44.1 54.0 2◦41.0 02.120 46◦15.7 107◦24.8 01.8 154◦52.3 25.4 187◦46.2 54.1 17◦43.5 02.121 61◦18.2 122◦23.9 · · 01.3 169◦52.9 · · 25.6 202◦48.3 · · 54.2 32◦45.9 · · 02.122 76◦20.6 137◦23.0 00.7 184◦53.4 25.9 217◦50.4 54.3 47◦48.3 02.123 91◦23.1 152◦22.2 00.2 199◦54.0 26.1 232◦52.5 54.4 62◦50.8 02.2


Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 106◦25.5 167◦21.3 S21◦59.6 214◦54.6 S22◦26.4 247◦54.7 S13◦54.5 77◦53.2 N09◦02.21 121◦28.0 182◦20.4 59.1 229◦55.2 26.6 262◦56.8 54.6 92◦55.7 02.22 136◦30.5 197◦19.6 58.5 244◦55.7 26.9 277◦58.9 54.7 107◦58.1 02.23 151◦32.9 212◦18.7 · · 58.0 259◦56.3 · · 27.1 293◦01.0 · · 54.8 123◦00.6 · · 02.24 166◦35.4 227◦17.8 57.4 274◦56.9 27.4 308◦03.1 54.9 138◦03.0 02.35 181◦37.9 242◦16.9 56.9 289◦57.4 27.6 323◦05.2 55.0 153◦05.4 02.3

6 196◦40.3 257◦16.1 S21◦56.3 304◦58.0 S22◦27.9 338◦07.4 S13◦55.1 168◦07.9 N09◦02.37 211◦42.8 272◦15.2 55.8 319◦58.6 28.1 353◦09.5 55.2 183◦10.3 02.38 226◦45.3 287◦14.3 55.2 334◦59.2 28.4 8◦11.6 55.3 198◦12.8 02.39 241◦47.7 302◦13.5 · · 54.7 349◦59.7 · · 28.6 23◦13.7 · · 55.5 213◦15.2 · · 02.410 256◦50.2 317◦12.6 54.1 5◦00.3 28.9 38◦15.8 55.6 228◦17.7 02.411 271◦52.6 332◦11.7 53.6 20◦00.9 29.1 53◦17.9 55.7 243◦20.1 02.4

12 286◦55.1 347◦10.9 S21◦53.0 35◦01.4 S22◦29.4 68◦20.1 S13◦55.8 258◦22.5 N09◦02.413 301◦57.6 2◦10.0 52.4 50◦02.0 29.6 83◦22.2 55.9 273◦25.0 02.514 317◦00.0 17◦09.2 51.9 65◦02.6 29.9 98◦24.3 56.0 288◦27.4 02.515 332◦02.5 32◦08.3 · · 51.3 80◦03.2 · · 30.1 113◦26.4 · · 56.1 303◦29.9 · · 02.516 347◦05.0 47◦07.4 50.7 95◦03.7 30.4 128◦28.5 56.2 318◦32.3 02.517 2◦07.4 62◦06.6 50.2 110◦04.3 30.6 143◦30.7 56.3 333◦34.7 02.5

18 17◦09.9 77◦05.7 S21◦49.6 125◦04.9 S22◦30.9 158◦32.8 S13◦56.4 348◦37.2 N09◦02.619 32◦12.4 92◦04.8 49.0 140◦05.4 31.1 173◦34.9 56.5 3◦39.6 02.620 47◦14.8 107◦04.0 48.5 155◦06.0 31.3 188◦37.0 56.6 18◦42.1 02.621 62◦17.3 122◦03.1 · · 47.9 170◦06.6 · · 31.6 203◦39.1 · · 56.7 33◦44.5 · · 02.622 77◦19.8 137◦02.3 47.3 185◦07.1 31.8 218◦41.2 56.8 48◦46.9 02.723 92◦22.2 152◦01.4 46.8 200◦07.7 32.1 233◦43.4 56.9 63◦49.4 02.7


Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 107◦24.7 167◦00.5 S21◦46.2 215◦08.3 S22◦32.3 248◦45.5 S13◦57.0 78◦51.8 N09◦02.71 122◦27.1 181◦59.7 45.6 230◦08.9 32.6 263◦47.6 57.1 93◦54.2 02.72 137◦29.6 196◦58.8 45.0 245◦09.4 32.8 278◦49.7 57.2 108◦56.7 02.73 152◦32.1 211◦58.0 · · 44.5 260◦10.0 · · 33.0 293◦51.8 · · 57.3 123◦59.1 · · 02.84 167◦34.5 226◦57.1 43.9 275◦10.6 33.3 308◦54.0 57.4 139◦01.6 02.85 182◦37.0 241◦56.2 43.3 290◦11.1 33.5 323◦56.1 57.5 154◦04.0 02.8

6 197◦39.5 256◦55.4 S21◦42.7 305◦11.7 S22◦33.8 338◦58.2 S13◦57.6 169◦06.4 N09◦02.87 212◦41.9 271◦54.5 42.1 320◦12.3 34.0 354◦00.3 57.7 184◦08.9 02.98 227◦44.4 286◦53.7 41.6 335◦12.8 34.2 9◦02.5 57.8 199◦11.3 02.99 242◦46.9 301◦52.8 · · 41.0 350◦13.4 · · 34.5 24◦04.6 · · 57.9 214◦13.7 · · 02.910 257◦49.3 316◦52.0 40.4 5◦14.0 34.7 39◦06.7 58.0 229◦16.2 02.911 272◦51.8 331◦51.1 39.8 20◦14.5 35.0 54◦08.8 58.1 244◦18.6 03.0

12 287◦54.3 346◦50.3 S21◦39.2 35◦15.1 S22◦35.2 69◦10.9 S13◦58.2 259◦21.1 N09◦03.013 302◦56.7 1◦49.4 38.6 50◦15.7 35.4 84◦13.1 58.3 274◦23.5 03.014 317◦59.2 16◦48.6 38.0 65◦16.2 35.7 99◦15.2 58.4 289◦25.9 03.015 333◦01.6 31◦47.7 · · 37.5 80◦16.8 · · 35.9 114◦17.3 · · 58.5 304◦28.4 · · 03.016 348◦04.1 46◦46.9 36.9 95◦17.4 36.1 129◦19.4 58.6 319◦30.8 03.117 3◦06.6 61◦46.0 36.3 110◦17.9 36.4 144◦21.6 58.7 334◦33.2 03.1

18 18◦09.0 76◦45.1 S21◦35.7 125◦18.5 S22◦36.6 159◦23.7 S13◦58.8 349◦35.7 N09◦03.119 33◦11.5 91◦44.3 35.1 140◦19.1 36.9 174◦25.8 58.9 4◦38.1 03.120 48◦14.0 106◦43.4 34.5 155◦19.6 37.1 189◦27.9 59.0 19◦40.5 03.221 63◦16.4 121◦42.6 · · 33.9 170◦20.2 · · 37.3 204◦30.1 · · 59.1 34◦43.0 · · 03.222 78◦18.9 136◦41.7 33.3 185◦20.8 37.6 219◦32.2 59.3 49◦45.4 03.223 93◦21.4 151◦40.9 32.7 200◦21.3 37.8 234◦34.3 59.4 64◦47.8 03.2


StarsSHA Dec

Alpheratz 359◦03.6 28◦36.0Ankaa 354◦31.9 -42◦47.7

Schedar 351◦08.7 56◦03.2Diphda 350◦13.2 -18◦28.7


Aldebaran 292◦17.8 16◦20.0Rigel 282◦26.0 -8◦18.2



Sirius 259◦41.3 -16◦35.3Adara 256◦12.8 -28◦51.0








Atria 110◦12.7 -68◦51.8Sabik 103◦41.4 -15◦37.0




Peacock 55◦21.5 -57◦01.5Deneb 50◦24.7 44◦57.7

Enif 35◦03.2 9◦27.9Al Na’ir 29◦21.0 -47◦23.8


Jan 07 Sat SHA Mer.passVenus 62◦15.9 12:50Mars 109◦14.4 09:41

Jupiter 141◦37.5 07:31Saturn 331◦28.1 18:49

Jan 08 Sun SHA Mer.passVenus 60◦55.8 12:51Mars 108◦29.0 09:40

Jupiter 141◦29.1 07:27Saturn 331◦27.7 18:45

Jan 09 Mon SHA Mer.passVenus 59◦35.9 12:53Mars 107◦43.6 09:39

Jupiter 141◦20.8 07:24Saturn 331◦27.1 18:42


6


h Sun MoonSat GHA Dec GHA ν Dec d HP

0 178◦32.1 S22◦32.5 104◦13.2 13.5’ S03◦34.7 15.2’ 57.7’1 193◦31.8 32.3 118◦45.7 13.5’ 03◦19.5 15.2’ 57.7’2 208◦31.5 32.0 133◦18.2 13.5’ 03◦04.2 15.3’ 57.8’3 223◦31.2 · · 31.7 147◦50.7 13.5’ 02◦49.0 15.3’ 57.8’4 238◦31.0 31.4 162◦23.1 13.5’ 02◦33.7 15.3’ 57.8’5 253◦30.7 31.1 176◦55.6 13.4’ 02◦18.4 15.3’ 57.8’

6 268◦30.4 S22◦30.8 191◦28.0 13.4’ S02◦03.0 15.4’ 57.9’7 283◦30.1 30.5 206◦00.4 13.4’ 01◦47.7 15.4’ 57.9’8 298◦29.9 30.2 220◦32.8 13.4’ 01◦32.3 15.4’ 57.9’9 313◦29.6 · · 29.9 235◦05.2 13.4’ 01◦16.9 15.4’ 57.9’10 328◦29.3 29.6 249◦37.6 13.3’ 01◦01.4 15.4’ 58.0’11 343◦29.0 29.3 264◦09.9 13.3’ 00◦46.0 15.5’ 58.0’

12 358◦28.8 S22◦29.0 278◦42.2 13.3’ S00◦30.5 15.5’ 58.0’13 13◦28.5 28.6 293◦14.5 13.3’ S00◦15.1 15.5’ 58.0’14 28◦28.2 28.3 307◦46.8 13.2’ N00◦00.4 15.5’ 58.1’15 43◦27.9 · · 28.0 322◦19.0 13.2’ 00◦15.9 15.5’ 58.1’16 58◦27.7 27.7 336◦51.2 13.2’ 00◦31.5 15.5’ 58.1’17 73◦27.4 27.4 351◦23.4 13.2’ 00◦47.0 15.5’ 58.2’

18 88◦27.1 S22◦27.1 5◦55.5 13.1’ N01◦02.5 15.5’ 58.2’19 103◦26.8 26.8 20◦27.6 13.1’ 01◦18.1 15.6’ 58.2’20 118◦26.6 26.5 34◦59.7 13.1’ 01◦33.7 15.6’ 58.2’21 133◦26.3 · · 26.2 49◦31.8 13.0’ 01◦49.2 15.6’ 58.3’22 148◦26.0 25.9 64◦03.8 13.0’ 02◦04.8 15.6’ 58.3’23 163◦25.8 25.6 78◦35.7 13.0’ 02◦20.4 15.6’ 58.3’

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

Sun GHA Dec GHA ν Dec d HP

0 178◦25.5 S22◦25.2 93◦07.7 12.9’ N02◦36.0 15.6’ 58.3’1 193◦25.2 24.9 107◦39.6 12.9’ 02◦51.5 15.6’ 58.4’2 208◦24.9 24.6 122◦11.4 12.8’ 03◦07.1 15.6’ 58.4’3 223◦24.7 · · 24.3 136◦43.2 12.8’ 03◦22.7 15.6’ 58.4’4 238◦24.4 24.0 151◦15.0 12.7’ 03◦38.3 15.6’ 58.4’5 253◦24.1 23.7 165◦46.7 12.7’ 03◦53.9 15.6’ 58.5’

6 268◦23.9 S22◦23.4 180◦18.4 12.6’ N04◦09.4 15.6’ 58.5’7 283◦23.6 23.0 194◦50.0 12.6’ 04◦25.0 15.6’ 58.5’8 298◦23.3 22.7 209◦21.6 12.5’ 04◦40.6 15.6’ 58.6’9 313◦23.1 · · 22.4 223◦53.1 12.5’ 04◦56.1 15.5’ 58.6’10 328◦22.8 22.1 238◦24.5 12.4’ 05◦11.7 15.5’ 58.6’11 343◦22.5 21.8 252◦55.9 12.4’ 05◦27.2 15.5’ 58.6’

12 358◦22.2 S22◦21.4 267◦27.3 12.3’ N05◦42.7 15.5’ 58.7’13 13◦22.0 21.1 281◦58.6 12.3’ 05◦58.2 15.5’ 58.7’14 28◦21.7 20.8 296◦29.8 12.2’ 06◦13.7 15.5’ 58.7’15 43◦21.4 · · 20.5 311◦01.0 12.2’ 06◦29.2 15.5’ 58.7’16 58◦21.2 20.1 325◦32.1 12.1’ 06◦44.6 15.4’ 58.8’17 73◦20.9 19.8 340◦03.2 12.0’ 07◦00.1 15.4’ 58.8’

18 88◦20.6 S22◦19.5 354◦34.2 12.0’ N07◦15.5 15.4’ 58.8’19 103◦20.4 19.2 9◦05.1 11.9’ 07◦30.9 15.4’ 58.8’20 118◦20.1 18.8 23◦36.0 11.8’ 07◦46.2 15.4’ 58.9’21 133◦19.8 · · 18.5 38◦06.8 11.8’ 08◦01.6 15.3’ 58.9’22 148◦19.6 18.2 52◦37.5 11.7’ 08◦16.9 15.3’ 58.9’23 163◦19.3 17.8 67◦08.2 11.6’ 08◦32.2 15.3’ 59.0’

SD.=16.3 d=0.3 S.D.=15.9

Mon GHA Dec GHA ν Dec d HP

0 178◦19.0 S22◦17.5 81◦38.7 11.5’ N08◦47.5 15.2’ 59.0’1 193◦18.8 17.2 96◦09.3 11.5’ 09◦02.7 15.2’ 59.0’2 208◦18.5 16.8 110◦39.7 11.4’ 09◦17.9 15.2’ 59.0’3 223◦18.2 · · 16.5 125◦10.1 11.3’ 09◦33.1 15.1’ 59.1’4 238◦18.0 16.2 139◦40.3 11.2’ 09◦48.2 15.1’ 59.1’5 253◦17.7 15.8 154◦10.5 11.2’ 10◦03.3 15.1’ 59.1’

6 268◦17.5 S22◦15.5 168◦40.7 11.1’ N10◦18.3 15.0’ 59.1’7 283◦17.2 15.2 183◦10.7 11.0’ 10◦33.4 15.0’ 59.2’8 298◦16.9 14.8 197◦40.7 10.9’ 10◦48.3 15.0’ 59.2’9 313◦16.7 · · 14.5 212◦10.6 10.8’ 11◦03.3 14.9’ 59.2’10 328◦16.4 14.1 226◦40.4 10.8’ 11◦18.1 14.9’ 59.2’11 343◦16.1 13.8 241◦10.1 10.7’ 11◦33.0 14.8’ 59.3’

12 358◦15.9 S22◦13.5 255◦39.7 10.6’ N11◦47.8 14.8’ 59.3’13 13◦15.6 13.1 270◦09.2 10.5’ 12◦02.5 14.7’ 59.3’14 28◦15.3 12.8 284◦38.7 10.4’ 12◦17.2 14.7’ 59.3’15 43◦15.1 · · 12.4 299◦08.0 10.3’ 12◦31.8 14.6’ 59.4’16 58◦14.8 12.1 313◦37.3 10.2’ 12◦46.4 14.6’ 59.4’17 73◦14.6 11.8 328◦06.5 10.1’ 13◦00.9 14.5’ 59.4’

18 88◦14.3 S22◦11.4 342◦35.5 10.0’ N13◦15.4 14.4’ 59.4’19 103◦14.0 11.1 357◦04.5 9.9’ 13◦29.8 14.4’ 59.5’20 118◦13.8 10.7 11◦33.4 9.8’ 13◦44.1 14.3’ 59.5’21 133◦13.5 · · 10.4 26◦02.2 9.7’ 13◦58.4 14.2’ 59.5’22 148◦13.3 10.0 40◦30.9 9.6’ 14◦12.6 14.2’ 59.5’23 163◦13.0 09.7 54◦59.5 9.5’ 14◦26.8 14.1’ 59.6’

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

Lat.Twilight



N 72◦ 08:17 10:24 13:50 15:57

N 70◦ 08:00 09:39 14:34 16:1468◦ 07:46 09:10 11:16 12:57 15:04 16:2866◦ 07:34 08:48 10:16 13:58 15:26 16:4064◦ 07:24 08:30 09:42 14:31 15:43 16:5062◦ 07:15 08:15 09:18 14:56 15:58 16:5860◦ 07:08 08:03 08:58 15:15 16:10 17:06

N 58◦ 07:01 07:52 08:42 15:31 16:21 17:1356◦ 06:55 07:43 08:29 15:45 16:31 17:1954◦ 06:49 07:34 08:17 15:56 16:39 17:2452◦ 06:44 07:27 08:07 16:07 16:47 17:3050◦ 06:39 07:20 07:58 16:16 16:53 17:3445◦ 06:28 07:05 07:38 16:35 17:08 17:45

N 40◦ 06:18 06:52 07:22 16:51 17:21 17:5535◦ 06:10 06:41 07:09 17:04 17:32 18:0430◦ 06:01 06:31 06:57 17:16 17:42 18:1220◦ 05:46 06:13 06:37 17:36 18:00 18:27

N 10◦ 05:31 05:57 06:19 17:54 18:16 18:420◦ 05:14 05:40 06:03 18:10 18:33 18:59

S 10◦ 04:56 05:23 05:46 18:27 18:50 19:1720◦ 04:35 05:04 05:28 18:45 19:09 19:3830◦ 04:07 04:40 05:07 19:06 19:33 20:0635◦ 03:49 04:25 04:55 19:18 19:47 20:2340◦ 03:27 04:08 04:40 19:32 20:04 20:4545◦ 02:59 03:47 04:23 19:49 20:26 21:14

S 50◦ 02:17 03:19 04:02 20:10 20:53 21:5552◦ 01:53 03:05 03:52 20:20 21:07 22:1854◦ 01:19 02:49 03:41 20:32 21:23 22:5256◦ 02:29 03:27 20:45 21:4358◦ 02:03 03:12 21:00 22:08

S 60◦ 01:26 02:53 21:18 22:44


Sat Sun Mon Sat Sun Mon

N 72◦ 11:34 11:02 10:23 –:– 00:19 02:40

N 70◦ 11:33 11:09 10:41 –:– 00:16 02:2468◦ 11:32 11:15 10:56 –:– 00:13 02:1266◦ 11:31 11:20 11:08 –:– 00:10 02:0264◦ 11:31 11:24 11:18 –:– 00:08 01:5462◦ 11:30 11:28 11:26 –:– 00:06 01:4760◦ 11:30 11:31 11:34 –:– 00:05 01:41

N 58◦ 11:29 11:34 11:40 –:– 00:03 01:3556◦ 11:29 11:37 11:46 –:– 00:02 01:3154◦ 11:29 11:39 11:52 –:– 00:01 01:2652◦ 11:28 11:42 11:56 –:– 00:00 01:2350◦ 11:28 11:44 12:01 23:59 –:– 01:1945◦ 11:28 11:48 12:10 23:57 –:– 01:12

N 40◦ 11:27 11:52 12:18 23:55 –:– 01:0635◦ 11:27 11:55 12:25 23:54 –:– 01:0030◦ 11:26 11:58 12:31 23:53 –:– 00:5620◦ 11:26 12:03 12:42 23:50 –:– 00:48

N 10◦ 11:25 12:07 12:51 23:48 –:– 00:410◦ 11:25 12:11 13:00 23:47 –:– 00:34

S 10◦ 11:24 12:15 13:09 23:45 –:– 00:2720◦ 11:24 12:20 13:19 23:43 –:– 00:2030◦ 11:23 12:25 13:30 23:40 –:– 00:1335◦ 11:23 12:28 13:36 23:39 –:– 00:0840◦ 11:22 12:32 13:44 23:38 –:– 00:0345◦ 11:22 12:36 13:52 23:36 23:57 –:–

S 50◦ 11:22 12:41 14:03 23:34 23:50 –:–52◦ 11:21 12:43 14:08 23:33 23:47 –:–54◦ 11:21 12:45 14:13 23:32 23:43 23:5656◦ 11:21 12:48 14:19 23:31 23:39 23:4958◦ 11:21 12:51 14:26 23:30 23:35 23:42

S 60◦ 11:20 12:55 14:34 23:28 23:30 23:33

Day



7 05:52 06:05 12:06 17:36 05:138 06:18 06:31 12:07 18:22 05:599 06:44 06:57 12:07 19:12 06:47

7

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

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 108◦23.8 166◦40.1 S21◦32.1 215◦21.9 S22◦38.0 249◦36.4 S13◦59.5 79◦50.3 N09◦03.31 123◦26.3 181◦39.2 31.5 230◦22.5 38.3 264◦38.6 59.6 94◦52.7 03.32 138◦28.8 196◦38.4 30.9 245◦23.0 38.5 279◦40.7 59.7 109◦55.1 03.33 153◦31.2 211◦37.5 · · 30.3 260◦23.6 · · 38.7 294◦42.8 · · 59.8 124◦57.6 · · 03.34 168◦33.7 226◦36.7 29.7 275◦24.1 39.0 309◦44.9 13◦59.9 140◦00.0 03.45 183◦36.1 241◦35.8 29.1 290◦24.7 39.2 324◦47.1 14◦00.0 155◦02.4 03.4

6 198◦38.6 256◦35.0 S21◦28.5 305◦25.3 S22◦39.4 339◦49.2 S14◦00.1 170◦04.9 N09◦03.47 213◦41.1 271◦34.1 27.9 320◦25.8 39.7 354◦51.3 00.2 185◦07.3 03.48 228◦43.5 286◦33.3 27.2 335◦26.4 39.9 9◦53.4 00.3 200◦09.7 03.59 243◦46.0 301◦32.4 · · 26.6 350◦27.0 · · 40.1 24◦55.6 · · 00.4 215◦12.2 · · 03.510 258◦48.5 316◦31.6 26.0 5◦27.5 40.3 39◦57.7 00.5 230◦14.6 03.511 273◦50.9 331◦30.8 25.4 20◦28.1 40.6 54◦59.8 00.6 245◦17.0 03.5

12 288◦53.4 346◦29.9 S21◦24.8 35◦28.7 S22◦40.8 70◦01.9 S14◦00.7 260◦19.5 N09◦03.613 303◦55.9 1◦29.1 24.2 50◦29.2 41.0 85◦04.1 00.8 275◦21.9 03.614 318◦58.3 16◦28.2 23.6 65◦29.8 41.3 100◦06.2 00.9 290◦24.3 03.615 334◦00.8 31◦27.4 · · 23.0 80◦30.3 · · 41.5 115◦08.3 · · 01.0 305◦26.8 · · 03.616 349◦03.2 46◦26.6 22.3 95◦30.9 41.7 130◦10.5 01.1 320◦29.2 03.717 4◦05.7 61◦25.7 21.7 110◦31.5 42.0 145◦12.6 01.2 335◦31.6 03.7

18 19◦08.2 76◦24.9 S21◦21.1 125◦32.0 S22◦42.2 160◦14.7 S14◦01.3 350◦34.1 N09◦03.719 34◦10.6 91◦24.0 20.5 140◦32.6 42.4 175◦16.8 01.4 5◦36.5 03.720 49◦13.1 106◦23.2 19.8 155◦33.2 42.6 190◦19.0 01.5 20◦38.9 03.821 64◦15.6 121◦22.4 · · 19.2 170◦33.7 · · 42.9 205◦21.1 · · 01.6 35◦41.4 · · 03.822 79◦18.0 136◦21.5 18.6 185◦34.3 43.1 220◦23.2 01.7 50◦43.8 03.823 94◦20.5 151◦20.7 18.0 200◦34.8 43.3 235◦25.4 01.8 65◦46.2 03.8


Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 109◦23.0 166◦19.8 S21◦17.3 215◦35.4 S22◦43.5 250◦27.5 S14◦01.9 80◦48.6 N09◦03.91 124◦25.4 181◦19.0 16.7 230◦36.0 43.8 265◦29.6 02.0 95◦51.1 03.92 139◦27.9 196◦18.2 16.1 245◦36.5 44.0 280◦31.8 02.1 110◦53.5 03.93 154◦30.4 211◦17.3 · · 15.5 260◦37.1 · · 44.2 295◦33.9 · · 02.2 125◦55.9 · · 03.94 169◦32.8 226◦16.5 14.8 275◦37.6 44.4 310◦36.0 02.3 140◦58.4 04.05 184◦35.3 241◦15.7 14.2 290◦38.2 44.7 325◦38.1 02.3 156◦00.8 04.0

6 199◦37.7 256◦14.8 S21◦13.6 305◦38.8 S22◦44.9 340◦40.3 S14◦02.4 171◦03.2 N09◦04.07 214◦40.2 271◦14.0 12.9 320◦39.3 45.1 355◦42.4 02.5 186◦05.6 04.08 229◦42.7 286◦13.2 12.3 335◦39.9 45.3 10◦44.5 02.6 201◦08.1 04.19 244◦45.1 301◦12.3 · · 11.7 350◦40.4 · · 45.5 25◦46.7 · · 02.7 216◦10.5 · · 04.110 259◦47.6 316◦11.5 11.0 5◦41.0 45.8 40◦48.8 02.8 231◦12.9 04.111 274◦50.1 331◦10.7 10.4 20◦41.6 46.0 55◦50.9 02.9 246◦15.4 04.2

12 289◦52.5 346◦09.9 S21◦09.7 35◦42.1 S22◦46.2 70◦53.1 S14◦03.0 261◦17.8 N09◦04.213 304◦55.0 1◦09.0 09.1 50◦42.7 46.4 85◦55.2 03.1 276◦20.2 04.214 319◦57.5 16◦08.2 08.5 65◦43.2 46.7 100◦57.3 03.2 291◦22.6 04.215 334◦59.9 31◦07.4 · · 07.8 80◦43.8 · · 46.9 115◦59.5 · · 03.3 306◦25.1 · · 04.316 350◦02.4 46◦06.5 07.2 95◦44.4 47.1 131◦01.6 03.4 321◦27.5 04.317 5◦04.9 61◦05.7 06.5 110◦44.9 47.3 146◦03.7 03.5 336◦29.9 04.3

18 20◦07.3 76◦04.9 S21◦05.9 125◦45.5 S22◦47.5 161◦05.9 S14◦03.6 351◦32.3 N09◦04.319 35◦09.8 91◦04.1 05.2 140◦46.0 47.7 176◦08.0 03.7 6◦34.8 04.420 50◦12.2 106◦03.2 04.6 155◦46.6 48.0 191◦10.1 03.8 21◦37.2 04.421 65◦14.7 121◦02.4 · · 03.9 170◦47.1 · · 48.2 206◦12.3 · · 03.9 36◦39.6 · · 04.422 80◦17.2 136◦01.6 03.3 185◦47.7 48.4 221◦14.4 04.0 51◦42.0 04.523 95◦19.6 151◦00.8 02.6 200◦48.3 48.6 236◦16.5 04.1 66◦44.5 04.5


Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec

0 110◦22.1 165◦59.9 S21◦02.0 215◦48.8 S22◦48.8 251◦18.7 S14◦04.2 81◦46.9 N09◦04.51 125◦24.6 180◦59.1 01.3 230◦49.4 49.1 266◦20.8 04.3 96◦49.3 04.52 140◦27.0 195◦58.3 00.7 245◦49.9 49.3 281◦22.9 04.4 111◦51.8 04.63 155◦29.5 210◦57.5 21◦00.0 260◦50.5 · · 49.5 296◦25.1 · · 04.5 126◦54.2 · · 04.64 170◦32.0 225◦56.6 20◦59.4 275◦51.0 49.7 311◦27.2 04.6 141◦56.6 04.65 185◦34.4 240◦55.8 58.7 290◦51.6 49.9 326◦29.4 04.7 156◦59.0 04.6

6 200◦36.9 255◦55.0 S20◦58.0 305◦52.2 S22◦50.1 341◦31.5 S14◦04.8 172◦01.4 N09◦04.77 215◦39.4 270◦54.2 57.4 320◦52.7 50.3 356◦33.6 04.9 187◦03.9 04.78 230◦41.8 285◦53.4 56.7 335◦53.3 50.6 11◦35.8 05.0 202◦06.3 04.79 245◦44.3 300◦52.5 · · 56.0 350◦53.8 · · 50.8 26◦37.9 · · 05.1 217◦08.7 · · 04.810 260◦46.7 315◦51.7 55.4 5◦54.4 51.0 41◦40.0 05.2 232◦11.1 04.811 275◦49.2 330◦50.9 54.7 20◦54.9 51.2 56◦42.2 05.3 247◦13.6 04.8

12 290◦51.7 345◦50.1 S20◦54.1 35◦55.5 S22◦51.4 71◦44.3 S14◦05.4 262◦16.0 N09◦04.813 305◦54.1 0◦49.3 53.4 50◦56.0 51.6 86◦46.5 05.5 277◦18.4 04.914 320◦56.6 15◦48.4 52.7 65◦56.6 51.8 101◦48.6 05.6 292◦20.8 04.915 335◦59.1 30◦47.6 · · 52.1 80◦57.2 · · 52.0 116◦50.7 · · 05.7 307◦23.3 · · 04.916 351◦01.5 45◦46.8 51.4 95◦57.7 52.3 131◦52.9 05.8 322◦25.7 05.017 6◦04.0 60◦46.0 50.7 110◦58.3 52.5 146◦55.0 05.9 337◦28.1 05.0

18 21◦06.5 75◦45.2 S20◦50.0 125◦58.8 S22◦52.7 161◦57.1 S14◦05.9 352◦30.5 N09◦05.019 36◦08.9 90◦44.4 49.4 140◦59.4 52.9 176◦59.3 06.0 7◦32.9 05.020 51◦11.4 105◦43.6 48.7 155◦59.9 53.1 192◦01.4 06.1 22◦35.4 05.121 66◦13.9 120◦42.7 · · 48.0 171◦00.5 · · 53.3 207◦03.6 · · 06.2 37◦37.8 · · 05.122 81◦16.3 135◦41.9 47.3 186◦01.0 53.5 222◦05.7 06.3 52◦40.2 05.123 96◦18.8 150◦41.1 46.7 201◦01.6 53.7 237◦07.8 06.4 67◦42.6 05.2


StarsSHA Dec

Alpheratz 359◦03.6 28◦36.0Ankaa 354◦31.9 -42◦47.7

Schedar 351◦08.7 56◦03.2Diphda 350◦13.2 -18◦28.7


Aldebaran 292◦17.8 16◦20.0Rigel 282◦26.0 -8◦18.2



Sirius 259◦41.3 -16◦35.3Adara 256◦12.8 -28◦51.0








Atria 110◦12.7 -68◦51.8Sabik 103◦41.4 -15◦37.0




Peacock 55◦21.5 -57◦01.5Deneb 50◦24.7 44◦57.6

Enif 35◦03.2 9◦27.9Al Na’ir 29◦21.0 -47◦23.8


Jan 10 Tue SHA Mer.passVenus 58◦16.2 12:54Mars 106◦58.1 09:38

Jupiter 141◦12.6 07:21Saturn 331◦26.5 18:38

Jan 11 Wed SHA Mer.passVenus 56◦56.9 12:55Mars 106◦12.4 09:37

Jupiter 141◦04.5 07:17Saturn 331◦25.7 18:34

Jan 12 Thu SHA Mer.passVenus 55◦37.8 12:57Mars 105◦26.7 09:36

Jupiter 140◦56.6 07:14Saturn 331◦24.8 18:30


8


h Sun MoonTue GHA Dec GHA ν Dec d HP

0 178◦12.7 S22◦09.3 69◦27.9 9.4’ N14◦40.9 14.0’ 59.6’1 193◦12.5 09.0 83◦56.3 9.3’ 14◦54.9 14.0’ 59.6’2 208◦12.2 08.6 98◦24.6 9.2’ 15◦08.8 13.9’ 59.6’3 223◦12.0 · · 08.3 112◦52.8 9.1’ 15◦22.6 13.8’ 59.7’4 238◦11.7 07.9 127◦20.9 9.0’ 15◦36.4 13.7’ 59.7’5 253◦11.4 07.6 141◦48.8 8.9’ 15◦50.1 13.7’ 59.7’

6 268◦11.2 S22◦07.2 156◦16.7 8.8’ N16◦03.8 13.6’ 59.7’7 283◦10.9 06.9 170◦44.5 8.7’ 16◦17.3 13.5’ 59.7’8 298◦10.7 06.5 185◦12.1 8.6’ 16◦30.8 13.4’ 59.8’9 313◦10.4 · · 06.1 199◦39.7 8.5’ 16◦44.1 13.3’ 59.8’10 328◦10.1 05.8 214◦07.1 8.4’ 16◦57.4 13.2’ 59.8’11 343◦09.9 05.4 228◦34.4 8.3’ 17◦10.6 13.1’ 59.8’

12 358◦09.6 S22◦05.1 243◦01.6 8.2’ N17◦23.7 13.1’ 59.8’13 13◦09.4 04.7 257◦28.7 8.0’ 17◦36.7 13.0’ 59.9’14 28◦09.1 04.3 271◦55.7 7.9’ 17◦49.6 12.9’ 59.9’15 43◦08.9 · · 04.0 286◦22.6 7.8’ 18◦02.4 12.8’ 59.9’16 58◦08.6 03.6 300◦49.4 7.7’ 18◦15.2 12.7’ 59.9’17 73◦08.3 03.3 315◦16.0 7.6’ 18◦27.8 12.6’ 60.0’

18 88◦08.1 S22◦02.9 329◦42.5 7.5’ N18◦40.3 12.5’ 60.0’19 103◦07.8 02.5 344◦09.0 7.4’ 18◦52.7 12.4’ 60.0’20 118◦07.6 02.2 358◦35.3 7.3’ 19◦05.0 12.2’ 60.0’21 133◦07.3 · · 01.8 13◦01.5 7.1’ 19◦17.2 12.1’ 60.0’22 148◦07.1 01.4 27◦27.5 7.0’ 19◦29.3 12.0’ 60.0’23 163◦06.8 01.1 41◦53.5 6.9’ 19◦41.2 11.9’ 60.1’

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

Wed GHA Dec GHA ν Dec d HP

0 178◦06.6 S22◦00.7 56◦19.4 6.8’ N19◦53.1 11.8’ 60.1’1 193◦06.3 00.3 70◦45.1 6.7’ 20◦04.8 11.7’ 60.1’2 208◦06.1 22◦00.0 85◦10.7 6.6’ 20◦16.4 11.6’ 60.1’3 223◦05.8 21◦59.6 99◦36.2 6.4’ 20◦27.9 11.4’ 60.1’4 238◦05.5 59.2 114◦01.6 6.3’ 20◦39.3 11.3’ 60.2’5 253◦05.3 58.9 128◦26.9 6.2’ 20◦50.5 11.2’ 60.2’

6 268◦05.0 S21◦58.5 142◦52.0 6.1’ N21◦01.6 11.0’ 60.2’7 283◦04.8 58.1 157◦17.0 6.0’ 21◦12.6 10.9’ 60.2’8 298◦04.5 57.7 171◦42.0 5.9’ 21◦23.5 10.8’ 60.2’9 313◦04.3 · · 57.4 186◦06.8 5.7’ 21◦34.2 10.7’ 60.2’10 328◦04.0 57.0 200◦31.5 5.6’ 21◦44.8 10.5’ 60.3’11 343◦03.8 56.6 214◦56.0 5.5’ 21◦55.2 10.4’ 60.3’

12 358◦03.5 S21◦56.2 229◦20.5 5.4’ N22◦05.5 10.2’ 60.3’13 13◦03.3 55.9 243◦44.9 5.3’ 22◦15.7 10.1’ 60.3’14 28◦03.0 55.5 258◦09.1 5.2’ 22◦25.7 9.9’ 60.3’15 43◦02.8 · · 55.1 272◦33.2 5.1’ 22◦35.6 9.8’ 60.3’16 58◦02.5 54.7 286◦57.2 5.0’ 22◦45.3 9.7’ 60.3’17 73◦02.3 54.3 301◦21.1 4.9’ 22◦54.9 9.5’ 60.3’

18 88◦02.0 S21◦54.0 315◦44.9 4.7’ N23◦04.3 9.4’ 60.4’19 103◦01.8 53.6 330◦08.6 4.6’ 23◦13.6 9.2’ 60.4’20 118◦01.5 53.2 344◦32.2 4.5’ 23◦22.7 9.0’ 60.4’21 133◦01.3 · · 52.8 358◦55.7 4.4’ 23◦31.7 8.9’ 60.4’22 148◦01.0 52.4 13◦19.0 4.3’ 23◦40.5 8.7’ 60.4’23 163◦00.8 52.1 27◦42.3 4.2’ 23◦49.1 8.6’ 60.4’

SD.=16.3 d=0.4 S.D.=16.4

Thu GHA Dec GHA ν Dec d HP

0 178◦00.5 S21◦51.7 42◦05.5 4.1’ N23◦57.6 8.4’ 60.4’1 193◦00.3 51.3 56◦28.5 4.0’ 24◦05.9 8.2’ 60.4’2 208◦00.0 50.9 70◦51.5 3.9’ 24◦14.1 8.1’ 60.4’3 222◦59.8 · · 50.5 85◦14.3 3.8’ 24◦22.0 7.9’ 60.5’4 237◦59.5 50.1 99◦37.1 3.7’ 24◦29.9 7.7’ 60.5’5 252◦59.3 49.7 113◦59.8 3.6’ 24◦37.5 7.6’ 60.5’

6 267◦59.1 S21◦49.3 128◦22.4 3.5’ N24◦45.0 7.4’ 60.5’7 282◦58.8 48.9 142◦44.8 3.4’ 24◦52.3 7.2’ 60.5’8 297◦58.6 48.6 157◦07.2 3.3’ 24◦59.4 7.0’ 60.5’9 312◦58.3 · · 48.2 171◦29.5 3.3’ 25◦06.3 6.9’ 60.5’10 327◦58.1 47.8 185◦51.7 3.2’ 25◦13.1 6.7’ 60.5’11 342◦57.8 47.4 200◦13.9 3.1’ 25◦19.7 6.5’ 60.5’

12 357◦57.6 S21◦47.0 214◦35.9 3.0’ N25◦26.1 6.3’ 60.5’13 12◦57.3 46.6 228◦57.9 2.9’ 25◦32.3 6.1’ 60.5’14 27◦57.1 46.2 243◦19.8 2.9’ 25◦38.3 5.9’ 60.5’15 42◦56.8 · · 45.8 257◦41.6 2.8’ 25◦44.2 5.8’ 60.5’16 57◦56.6 45.4 272◦03.3 2.7’ 25◦49.9 5.6’ 60.5’17 72◦56.4 45.0 286◦25.0 2.6’ 25◦55.3 5.4’ 60.5’

18 87◦56.1 S21◦44.6 300◦46.6 2.6’ N26◦00.6 5.2’ 60.5’19 102◦55.9 44.2 315◦08.1 2.5’ 26◦05.7 5.0’ 60.5’20 117◦55.6 43.8 329◦29.6 2.4’ 26◦10.6 4.8’ 60.5’21 132◦55.4 · · 43.4 343◦51.0 2.4’ 26◦15.3 4.6’ 60.6’22 147◦55.1 43.0 358◦12.4 2.3’ 26◦19.8 4.4’ 60.6’23 162◦54.9 42.6 12◦33.6 2.3’ 26◦24.1 4.2’ 60.6’

SD.=16.3 d=0.4 S.D.=16.5

Lat.Twilight



N 72◦ 08:12 10:12 14:04 16:04

N 70◦ 07:55 09:32 14:44 16:2168◦ 07:42 09:04 10:59 13:17 15:12 16:3466◦ 07:31 08:43 10:08 14:08 15:33 16:4564◦ 07:21 08:27 09:37 14:39 15:49 16:5562◦ 07:13 08:13 09:13 15:0

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