The Nautical Almanac 2023

Transcription

1 The Nautical Almanac 2023 downloaded from: TheNauticalAlmanac.com 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.

2 Part The Nautical Almanac Table of Contents Calendar, yearly 3 Day of Week & Day Number of Year 4-5 Links Time signals Bowditch Terrestrial Almanac Pub. No. 249 Pub. No. 229 Sight Reduction Forms and Methods Formulas 7-9 Page Explanation of The Nautical Almanac pages Moon Phases (includes Moon in graphic form) Conversion of Arc to Time 16 6 Note! Monthly almanac page numbers are found at the bottom of each page January 2 February 22 March 42 April 62 May 82 June 102 July 122 August 144 September 164 October 184 November 204 December 224 Note! Increments and Corrections are found on the pdf page numbers below Tables of Increments and Corrections for Sun, planets, Aries, Moon ( the yellow pages ) 261 Navigational Star Chart 281 fair winds, clear skies & following seas TheNauticalAlmanac.com Copyright 2018 TheNauticalAlmanac.com You are free to copy and distribute this document in its entirety freely ye received, freely give 2023 Table of Contents- regular version.odt

3 2023 January February March M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su April May June M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su July August September M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su October November December M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

4 Day of Week, Week Number, Day of Year, Remaining Days of Year January February March April May June Day Day Day Day Day Day Day Day Day Day Day Day Day of of of of of of of of of of of of of Month Week Year Week Year Week Year Week Year Week Year Week Year 1 Sun Wed Wed Sat Mon Thu Mon Thu Thu Sun Tue Fri Tue Fri Fri Mon Wed Sat Wed Sat Sat Tue Thu Sun Thu Sun Sun Wed Fri Mon Days remaining Week number Days remaining Week number Days remaining 6 Fri Mon Mon Thu Sat Tue Sat Tue Tue Fri Sun Wed Sun Wed Wed Sat Mon Thu Mon Thu Thu Sun Tue Fri Tue Fri Fri Mon Wed Sat Wed Sat Sat Tue Thu Sun Thu Sun Sun Wed Fri Mon Fri Mon Mon Thu Sat Tue Sat Tue Tue Fri Sun Wed Sun Wed Wed Sat Mon Thu Mon Thu Thu Sun Tue Fri Tue Fri Fri Mon Wed Sat Wed Sat Sat Tue Thu Sun Thu Sun Sun Wed Fri Mon Fri Mon Mon Thu Sat Tue Sat Tue Tue Fri Sun Wed Sun Wed Wed Sat Mon Thu Mon Thu Thu Sun Tue Fri Tue Fri Fri Mon Wed Sat Wed Sat Sat Tue Thu Sun Thu Sun Sun Wed Fri Mon Fri Mon Mon Thu Sat Tue Sat Tue Tue Fri Sun Wed Sun Wed Wed Sat Mon Thu Mon Thu Sun Tue Fri Tue Fri Wed Week number Days remaining Week number Days remaining Week number Days remaining Week number

5 Day of Week, Week Number, Day of Year, Remaining Days of Year July August September October November December Day Day Day Day Day Day Day Day Day Day Day Day Day of of of of of of of of of of of of of Month Week Year Week Year Week Year Week Year Week Year Week Year 1 Sat Tue Fri Sun Wed Fri Sun Wed Sat Mon Thu Sat Mon Thu Sun Tue Fri Sun Tue Fri Mon Wed Sat Mon Wed Sat Tue Thu Sun Tue Days remaining Week number Days remaining Week number Days remaining 6 Thu Sun Wed Fri Mon Wed Fri Mon Thu Sat Tue Thu Sat Tue Fri Sun Wed Fri Sun Wed Sat Mon Thu Sat Mon Thu Sun Tue Fri Sun Tue Fri Mon Wed Sat Mon Wed Sat Tue Thu Sun Tue Thu Sun Wed Fri Mon Wed Fri Mon Thu Sat Tue Thu Sat Tue Fri Sun Wed Fri Sun Wed Sat Mon Thu Sat Mon Thu Sun Tue Fri Sun Tue Fri Mon Wed Sat Mon Wed Sat Tue Thu Sun Tue Thu Sun Wed Fri Mon Wed Fri Mon Thu Sat Tue Thu Sat Tue Fri Sun Wed Fri Sun Wed Sat Mon Thu Sat Mon Thu Sun Tue Fri Sun Tue Fri Mon Wed Sat Mon Wed Sat Tue Thu Sun Tue Thu Sun Wed Fri Mon Wed Fri Mon Thu Sat Tue Thu Sat Tue Fri Sun Wed Fri Sun Wed Sat Mon Thu Sat Mon Thu Tue Sun Week number Days remaining Week number Days remaining Week number Days remaining Week number

6 Useful Information Time Signals- by telephone WWV WWVH CHU English: (CHU provides only Eastern time announcements) French: Time signals- by Radio WWV (Fort Collins, Colorado) WWVH ( Kauai, Hawaii) CHU (Ottawa, Canada) 2.5, 5, 10, 15, 20 MHz (male voice) 2.5, 5, 10, 15 MHz (female voice) 3330, 7850, and 14,670 khz (USB) Bowditch The American Practical Navigator 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. Pub. No. 249 Download individual Latitudes or Volumes No. 249.html Pub. No. 229 Download individual Volumes covering a range of Latitudes No. 229.html Sight Reduction Forms & Methods Time Signals and Links.odt

7 Celestial Navigation useful Formulas About Calculators The Casio fx-300es Plus is an inexpensive calculator at about 11 USD. It features natural input so you enter a formula just as it would be written on paper. Entering degrees, minutes and seconds is very simple. The Casio fx-300es Plus has 9 memory locations and you can review many of the previous 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 of Longitude (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 highest whole degree figure then adding the DR. Longitude to GHA to obtain LHA. Only add the whole degree DR. Longitude figure to the rounded up whole degree GHA figure. If the resulting LHA figure 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 a lot of printed out pages of Latitudes from Pub. No. 249 and Pub. No Pub. No. 249 Vol. 2 & 3 don't cover any declination greater than 29 degrees so you'd have to use Pub. No. 229 which is extremely large.

8 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 Zn=Z LHA less than Zn=360 Z In Southern Latitudes LHA greater than Zn= 180 Z LHA less than Zn= 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)

9 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 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= (90 o 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 λ figure 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 (0 60' 0 02')= 75 58' Ap longitude fair winds...clear skies and following seas TheNauticalAlmanac.com Formula Sheet added to NA.odt

10 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 4a 5 GHA v correction and Declination d correction. The amount to correct v and d for is determined by the minutes and seconds of time of the planet observation and is found in the Increments and Corrections pages of The Nautical Almanac. The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paper in the USNO published Nautical Almanac. m- is the magnitude or brightness of the planet. A bright planet will have a minus sign beside the figure. A fainter planet will have no sign beside its magnitude figure. Stars- SHA, Sidereal Hour Angle, and Declination. 59 stars are listed. Typically, only 57 stars are used for navigational 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 at the time of meridian passage at the Prime Meridian- Greenwich- 0. Planet SHA is calculated 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 d- 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. The Moon's GHA v correction. The amount to correct the Moon's GHA using v is determined by the minutes and seconds of time of the Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. The Increments and Corrections pages are also known as The Yellow Pages 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. The Moon's declination d correction. It's the amount of declination the Moon changes per hour. However the amount to correct the Moon's declination using d is determined by the minutes and seconds of time of the Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. The d correction is algebraically added. 15 An easy way to determine whether to add or subtract the d correction found in the Increments and Corrections pages is by examining the Moon's declination trend in The Nautical Almanac. If the declination is increasing (regardless of its sign + or -) from the integral hour of the observation you made then add the d increment and increase the value of the declination. If the declination is decreasing (regardless of its sign + or -) from the integral hour of the observation you made then subtract the d increment and decrease the value of the declination. Make sure to put the sign back on the corrected declination so you know which hemisphere the Moon's in. 16 The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paper in the USNO published Nautical Almanac. HP- the angle between two lines, one from the center of the Moon to the center of the Earth, the other from the center of the Moon to the edge of the Earth. This angle is about 56', but it changes slightly from day 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. The figures listed are for GMT/UT at 00 h and 12 h. If you look at Mer. Pass just to the right of the Eqn. of Time you'll find, approximately, when the Sun crosses The Prime Meridian (at Greenwich). The figures in the 12 h column indicate, approximately, how many minutes and seconds are subtracted, or added, to 12 to determine when Local Apparent Noon is at The Prime Meridian. You can calculate, approximately, when LAN is at your Longitude by adding, or subtracting the amount of time difference between you and

11 Greenwich and the Equation of Time. 17 continued Example- May 30, Mer. Pass is at UT 11: h is 02:25. This means subtract 2 minutes and 25 seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075 meridian passage would occur at about- 12 hours + 5 hours MINUS 2 minutes and 25 seconds, or UT 16:57:35. Sun- Mer. Pass just to the right of the Eqn. of Time is the approximate GMT/UT when the Sun crosses The Prime Meridian (at Greenwich) for that specific date. 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 crosses The Prime Meridian (Greenwich) and Lower means the GMT/UT when the Moon crosses The International Date Line (180 ). 20 Moon- Age- this is the number of days past a new Moon. Typically, there are 29 days in a lunar month. 20 continued 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 22* see note at bottom 22* see note at bottom Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of the Moon is illuminated. (morning) - Naut.- the approximate GMT/UT when morning Nautical begins. Nautical twilight is the time when the center of the sun is 12 below the horizon and the horizon is visible enough to be used for marine sextant observations. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (morning) - Civil- the approximate GMT/UT of morning civil twilight starts when the geometric center of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. Sunrise- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (evening) - Naut.- the approximate GMT/UT of when evening Nautical ends. Nautical twilight is the time when the center of the sun is 12 below the horizon and the horizon is no longer visible enough to be used for sextant observations. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (evening) - Civil- the approximate GMT/UT of evening civil twilight that ends when the geometric center of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. Sunset- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. 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- 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- * 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

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14 2023 Moon Phases Date and Time (GMT/Universal Time) New Moon First Quarter Full Moon Last Quarter January 21 January 28 20:53 15:19 February 20 February 27 07:06 08:06 March 21 March 29 17:23 02:32 April 20 April 27 04:12 21:20 May 19 May 27 15:53 15:22 June 18 June 26 04:37 07:50 July 17 July 25 18:32 22:07 August 16 August 24 09:38 09:57 September 15 September 22 01:40 19:32 October 14 October 22 17:55 03:29 November 13 November 20 09:27 10:50 December 12 December 19 23:32 18:39 January 06 23:08 February 05 18:28 March 07 12:40 April 06 04:34 May 05 17:34 June 04 03:42 July 03 11:39 August 01 18:32 August 31 01:35 September 29 09:57 October 28 20:24 November 27 09:16 December 27 00:33 January 15 02:10 February 13 16:01 March 15 02:08 April 13 09:11 May 12 14:28 June 10 19:31 July 10 01:48 August 08 10:28 September 06 22:21 October 06 13:48 November 05 08:37 December 05 05:49 Add or subtract your time diference from Greenwich to determine local time and date of Moon phase. Moon Phases.odt

15 2023 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 1 1 Su We We Sa Mo Th Sa Tu Fr Su We Fr 3 3 Tu Fr Fr Mo We Sa Mo Th Su Tu Fr Su 5 5 Th Su Su We Fr Mo We Sa Tu Th Su Tu 7 7 Sa Tu Tu Fr Su We Fr Mo Th Sa Tu Th 9 9 Mo Th Th Su Tu Fr Su We Sa Mo Th Sa We Sa Sa Tu Th Su Tu Fr Mo We Sa Mo Fr Mo Mo Th Sa Tu Th Su We Fr Mo We Su We We Sa Mo Th Sa Tu Fr Su We Fr Tu Fr Fr Mo We Sa Mo Th Su Tu Fr Su Th Su Su We Fr Mo We Sa Tu Th Su Tu Sa Tu Tu Fr Su We Fr Mo Th Sa Tu Th Mo Th Th Su Tu Fr Su We Sa Mo Th Sa We Sa Sa Tu Th Su Tu Fr Mo We Sa Mo Fr Mo Mo Th Sa Tu Th Su We Fr Mo We Su We Sa Mo Th Sa Tu Fr Su We Fr Tu Fr We Mo Th Tu Su

16 Conversion of Arc to Time h m h m h m h m h m h m ' m s s h= hours of time m= minutes of time s = seconds of time ' = minutes of arc = seconds of arc TheNauticalAlmanac.com

17 January 01, 02,03 (Sun., Mon., Tue.) Aries Venus Mars Jupiter Saturn Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:15 v-0.9 d0.6 m-3.8 v2.9 d-0.0 m-1.2 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:11 v-0.8 d0.6 m-3.8 v2.9 d-0.0 m-1.1 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:07 v-0.8 d0.6 m-3.8 v2.8 d-0.0 m-1.1 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Stars SHA Dec Alpheratz Ankaa Schedar Diphda Achernar Hamal Polaris Akamar Menkar Mirfak Aldebaran Rigel Capella Bellatrix Elnath Alnilam Betelgeuse Canopus Sirius Adara Procyon Pollux Avior Suhail Miaplacidus Alphard Regulus Dubhe Denebola Gienah Acrux Gacrux Alioth Spica Alcaid Hadar Menkent Arcturus Rigil Kent Zubenelg Kochab Alphecca Antares Atria Sabik Shaula Rasalhague Etamin Kaus Aust Vega Nunki Altair Peacock Deneb Enif Alnair Fomalhaut Scheat Markab /1/1 SHA Mer.pass Venus :18 Mars :42 Jupiter :22 Saturn : /1/2 SHA Mer.pass Venus :20 Mars :37 Jupiter :19 Saturn : /1/3 SHA Mer.pass Venus :21 Mars :33 Jupiter :15 Saturn :50 Horizontal paralax Venus: 0.1 Mars: 0.2 2

18 2023 January 01 to Jan. 03 h Sun Moon Sun GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=15.4 Mon GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=15.2 Tue GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=15.0 Lat. Naut. Civil Sunrise Sunset Civil Naut :23 10:40 : : 13:28 15: :04 09:48 : : 14:20 16: :49 09:16 : : 14:52 16: :37 08:52 10:26 13:42 15:16 16: :26 08:34 09:49 14:19 15:34 16: :17 08:18 09:22 14:46 15:50 16: :09 08:05 09:02 15:06 16:03 16: :02 07:54 08:45 15:23 16:14 17: :55 07:44 08:31 15:37 16:24 17: :50 07:35 08:19 15:49 16:33 17: :44 07:28 08:08 16:00 16:40 17: :39 07:20 07:58 16:10 16:48 17: :28 07:05 07:38 16:30 17:03 17: :18 06:52 07:22 16:46 17:16 17: :09 06:40 07:08 16:60 17:28 17: :00 06:30 06:56 17:12 17:38 18: :44 06:11 06:35 17:33 17:56 18: :28 05:54 06:17 17:51 18:13 18: :12 05:38 06:00 18:08 18:30 18: :53 05:20 05:43 18:25 18:48 19: :31 04:60 05:24 18:43 19:08 19: :02 04:36 05:03 19:05 19:32 20: :44 04:21 04:50 19:17 19:47 20: :22 04:03 04:35 19:32 20:05 20: :52 03:41 04:18 19:50 20:27 21: :08 03:12 03:56 20:11 20:55 21: :42 02:57 03:45 20:22 21:10 22: :03 02:40 03:33 20:34 21:27 23:03-56 : 02:19 03:20 20:47 21:48 : -58 : 01:51 03:04 21:03 22:15 : -60 : 01:08 02:44 21:23 22:57 : Moonrise Moonset Lat. Sun Mon Tue Sun Mon Tue 72 10:19 : : 04:34 : : 70 10:47 09:50 : 04:08 06:41 : 68 11:08 10:36 : 03:49 05:56 : 66 11:25 11:07 10:34 03:33 05:27 07: :39 11:30 11:18 03:21 05:05 06: :50 11:48 11:47 03:11 04:47 06: :00 12:03 12:10 03:02 04:33 06: :09 12:16 12:28 02:54 04:21 05: :17 12:28 12:43 02:47 04:10 05: :24 12:38 12:57 02:41 04:01 05: :30 12:47 13:08 02:36 03:53 05: :35 12:55 13:18 02:31 03:45 04: :48 13:12 13:40 02:20 03:30 04: :58 13:26 13:58 02:11 03:17 04: :07 13:38 14:13 02:04 03:06 04: :14 13:48 14:26 01:57 02:56 03: :28 14:06 14:48 01:46 02:40 03: :40 14:22 15:07 01:36 02:26 03: :51 14:37 15:25 01:27 02:13 03: :02 14:52 15:43 01:18 01:60 02: :14 15:08 16:03 01:08 01:46 02: :28 15:27 16:26 00:57 01:30 02: :36 15:38 16:39 00:51 01:21 01: :45 15:51 16:55 00:44 01:10 01: :56 16:05 17:13 00:36 00:58 01: :10 16:24 17:37 00:26 00:43 01: :16 16:33 17:48 00:21 00:36 00: :23 16:42 18:00 00:16 00:28 00: :31 16:54 18:15 00:10 00:20 00: :39 17:06 18:33 00:04 00:10 00: :49 17:21 18:54 23:59 : 00:04 Sun Moon Day Eqn.of Time Mer. Mer.Pass. Age 00 h 12 h Pass Upper Lower 1 03:12 03:26 12:03 20:01 07:38 9(74%) 2 03:40 03:54 12:03 20:48 08:24 10(83%) 3 04:08 04:22 12:04 21:37 09:12 11(89%) 3

19 January 04, 05,06 (Wed., Thu., Fri.) Aries Venus Mars Jupiter Saturn Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:03 v-0.8 d0.6 m-3.8 v2.8 d-0.0 m-1.1 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:16:59 v-0.8 d0.7 m-3.8 v2.7 d-0.0 m-1.1 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:16:55 v-0.8 d0.7 m-3.8 v2.7 d-0.0 m-1.0 v2.2 d0.1 m-2.2 v2.2 d0.1 m0.8 Stars SHA Dec Alpheratz Ankaa Schedar Diphda Achernar Hamal Polaris Akamar Menkar Mirfak Aldebaran Rigel Capella Bellatrix Elnath Alnilam Betelgeuse Canopus Sirius Adara Procyon Pollux Avior Suhail Miaplacidus Alphard Regulus Dubhe Denebola Gienah Acrux Gacrux Alioth Spica Alcaid Hadar Menkent Arcturus Rigil Kent Zubenelg Kochab Alphecca Antares Atria Sabik Shaula Rasalhague Etamin Kaus Aust Vega Nunki Altair Peacock Deneb Enif Alnair Fomalhaut Scheat Markab /1/4 SHA Mer.pass Venus :22 Mars :28 Jupiter :12 Saturn : /1/5 SHA Mer.pass Venus :23 Mars :24 Jupiter :08 Saturn : /1/6 SHA Mer.pass Venus :25 Mars :20 Jupiter :05 Saturn :39 Horizontal paralax Venus: 0.1 Mars: 0.2 4