The Nautical Almanac 1916

Transcription

1 The Nautical Almanac 1916 In memory of Frank Arthur Worsley The Navigator who saved the Shackleton expedition "We knew it would be the hardest thing we had ever undertaken, for the Antarctic winter had set in, and we were about to cross one of the worst seas in the world" Shackleton led the men...but Worsely saved them. from: TheNauticalAlmanac.com Disclaimer: These are computer generated tables from a program written by Enno Rodegerdts. Use at your own risk. The accuracy cannot be guaranteed. This means, if you get lost on the oceans, or anywhere, because of errors in this publication I can not be held liable. For security relevant applications you should buy a United States Naval Observatory version of the nautical almanac.

2 The James Caird and brave mariners departing Elephant Island April 24, The crew were- Ernest Shackleton, Frank Worsley, Tom Crean, John Vincent, Timothy McCarthy, Harry McNish. Visit The James Caird Society JamesCairdSociety.com Frank Worsley's sextant, pocket chronometer, binoculars, stop watch.

3 Thomas Mercer marine chronometer (Ser No. 5229, boxed with transit case) Kelvin & James White Ltd. Compass

4 Frank Worsley's nautical almanac is now located at The South Georgia Museum, located at Grytviken, South Georgia Island S ' W '

5 Closer views of Frank Worsley's nautical almanac.

6 Navigation instruments used during the Voyage of the James Caird From- Heath & Co. Hezzanith "endless tangent" sextant (Ser No. L777, borrowed by Lt. Frank Worsley RNR from Lt. Huberht Hudson RN, navigator onboard Endurance) Thomas Mercer marine chronometer (Ser No. 5229, boxed with transit case) S. Smith & Son pocket chronometer (hours, minutes, seconds indicated) 'Kelvin & James White Ltd', Pattern 182 Admiralty boat compass (gimballed, alcohol filled compass to prevent freezing). 360º markings with ¼ points) Pocket watch (of unknown origin or make) Brass bilge pump made from Flinders bar casing. Binoculars (with leather pouch) Admiralty charts (South Polar Charts) Navigation daily assistant & Logarithm tables Nautical Almanac Blue print chart of South Georgia (produced by Zweite Deutsche Antarktisexpedition ) Log book, diaries, and a handful of Frank Hurley photographic prints Boxed aneroid (unknown make, never used during the voyage of the James Caird according to Worsley)

7 Words of Frank Worsley Captain Worsley's comment about the The Nautical Almanac being ruined by the weather and sea during the desperate voyage to South Georgia island- "The Nautical Almanac shed its pages so rapidly before the onslaught of the seas that it was a race whether or not the month of May would last to South Georgia" About Shackleton, Worsley and Crean's glissade on the eastern slope of the South Georgia island- We seemed to shoot into space. For a moment my hair stood on end. Then quite suddenly I felt a glow and knew that I was grinning. I was actually enjoying it. It was most exhilarating. We were shooting down the side of an almost precipitous mountain at nearly a mile a minute. I yelled with excitement and found that Shackleton and Crean were yelling too. It seemed ridiculously safe. To hell with the rocks! After making it to Stromness and physically recovering enough to meet some of the workers- In the evening the manager told Sir Ernest that a number of old captains and sailors wished to speak to and shake hands with him and us. We went into a large, low room, full of captains and mates and sailors, and hazy with tobacco smoke. Three or four white-haired veterans of the sea came forward; one spoke in Norse, and manager translated. He said he had been at sea over forty years; that he knew this stormy Southern Ocean intimately, from South Georgia to Cape Horn, from Elephant Island to the South Orkneys, and that never had he heard of such a wonderful feat of daring seamanship as bringing the twenty-two foot open boat from Elephant Island to South Georgia, and then to crown it, tramping across the ice and snow and rocky heights of the interior,and that he felt it an honour to meet and shake hands with Sir Ernest and his comrades. He finished with a dramatic gesture: These are men! After arriving at Elephant Island to rescue all the crew members left there- Rescued! August 30, All well! At last! All ahead full. Worsley and all of these men were part of the glorious era called the Golden Age of Exploration. Bold and tough of character and strength, never quitting, never giving up- the essense of Endurance. By Endurance we Conquer To Him, that Fourth Man, He that standeth closer than a brother!...fair winds...clear skies and following seas TheNauticalAlmanac.com

8 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 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.

9 Celestial Navigation Determine Z Z = acos[(sin(declination) sin(ap Latitude) x sin(hc)) (cos(ap Latitude) x cos(hc))] As it would be entered into the Casio calculator... Cos-1((Sin(Declination) Sin(AP Latitude) x Sin(Hc)) (Cos(AP Latitude) x Cos(Hc) If the heavenly body's declination is Contrary name to the Ap Latitude enter a negative sign before it. To obtain Zn see the rules below for Northern and Southern latitudes. Determine Z independent of Hc L is latitude and d is declination. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it. As it would be entered into the Casio calculator... Z = tan-1 ((sin (LHA) (cos(ap latitude) x tan(declination) (sin(ap latitude) x cos(lha)) The sign convention used in the calculation of this azimuth formula is as follows: from Bowditch Chapter 22 CALCULATIONS AND CONVERSIONS, page 331 1) If latitude and declination are of contrary name, declination is treated as a negative quantity; 2) If the local hour angle is greater than 180, it is treated as a negative quantity. If the azimuth angle as calculated is negative, add 180 to obtain the desired value. To obtain Zn apply the following rules In Northern Latitudes LHA greater than Zn=Z LHA less than Zn=360 Z In Southern Latitudes LHA greater than Zn= 180 Z LHA less than Zn= Z Determine Refraction Determine Dip using feet 0.96 Tan of (Ha) 0.97 x (Square Root of He (Height of Eye) in feet) Determine Dip using meters 1.76 x (Square Root of He (Height of eye) in meters ) fair winds...clear skies and following seas TheNauticalAlmanac.com

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 January 01, 02,03 (Sat., Sun., Mon.) Aries Venus Mars Jupiter Saturn Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:19 v-0.7 d0.8 m-3.8 v2.4 d0.1 m-0.4 v2.1 d0.1 m-2.2 v2.7 d0.0 m-0.4 Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:15 v-0.7 d0.8 m-3.8 v2.5 d0.1 m-0.4 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:11 v-0.7 d0.8 m-3.8 v2.5 d0.1 m-0.4 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 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 :00 Mars :35 Jupiter :54 Saturn : /1/2 SHA Mer.pass Venus :02 Mars :31 Jupiter :50 Saturn : /1/3 SHA Mer.pass Venus :03 Mars :27 Jupiter :47 Saturn :12 Horizontal paralax Venus: 0.1 Mars: 0.2 2

15 1916 January 01 to Jan. 03 h Sun Moon Sat GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=16.2 Sun GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=16.5 Mon GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=16.6 Lat. Naut. Civil Sunrise Sunset Civil Naut :25 10:44 : : 13:24 15: :06 09:50 : : 14:17 16: :50 09:18 : : 14:50 16: :38 08:54 10:29 13:39 15:14 16: :27 08:35 09:50 14:17 15:33 16: :18 08:19 09:23 14:44 15:48 16: :10 08:06 09:03 15:05 16:02 16: :02 07:55 08:46 15:22 16:13 17: :56 07:45 08:32 15:36 16:23 17: :50 07:36 08:19 15:48 16:32 17: :44 07:28 08:08 15:59 16:40 17: :39 07:21 07:59 16:09 16:47 17: :28 07:05 07:39 16:29 17:03 17: :18 06:52 07:22 16:45 17:16 17: :09 06:40 07:08 16:59 17:27 17: :00 06:30 06:56 17:11 17:38 18: :44 06:11 06:35 17:32 17:56 18: :28 05:54 06:17 17:50 18:13 18: :11 05:37 05:60 18:07 18:30 18: :53 05:20 05:43 18:25 18:48 19: :30 04:60 05:24 18:43 19:08 19: :02 04:35 05:02 19:05 19:32 20: :43 04:20 04:50 19:18 19:47 20: :21 04:02 04:35 19:32 20:05 20: :51 03:40 04:17 19:50 20:27 21: :07 03:11 03:55 20:12 20:56 21: :41 02:56 03:44 20:22 21:10 22: :60 02:39 03:32 20:34 21:28 23:05-56 : 02:18 03:19 20:48 21:49 : -58 : 01:49 03:02 21:04 22:17 : -60 : 01:05 02:43 21:24 22:60 : Moonrise Moonset Lat. Sat Sun Mon Sat Sun Mon 72 : : : : : : 70 : : : : : : 68 07:11 : : 08:47 : : 66 06:06 : : 09:53 : : 64 05:31 08:00 : 10:29 10:06 : 62 05:06 07:08 09:03 10:55 10:59 11: :47 06:36 08:15 11:15 11:31 12: :31 06:12 07:44 11:32 11:55 12: :17 05:53 07:21 11:46 12:15 13: :05 05:37 07:02 11:59 12:31 13: :55 05:24 06:46 12:10 12:45 13: :45 05:12 06:32 12:20 12:58 13: :26 04:47 06:04 12:40 13:23 14: :10 04:27 05:42 12:57 13:44 14: :57 04:11 05:24 13:11 14:01 15: :46 03:57 05:08 13:24 14:16 15: :26 03:33 04:41 13:45 14:41 15: :09 03:12 04:18 14:04 15:03 16: :54 02:53 03:57 14:21 15:23 16: :38 02:34 03:36 14:39 15:43 16: :22 02:14 03:13 14:57 16:05 17: :03 01:50 02:47 15:19 16:30 17: :52 01:37 02:32 15:32 16:45 17: :40 01:21 02:14 15:47 17:03 18: :25 01:03 01:53 16:04 17:24 18: :07 00:40 01:26 16:26 17:50 19:05-52 : 00:29 01:13 16:36 18:03 19:18-54 : 00:16 00:58 16:48 18:18 19:34-56 : 00:02 00:40 17:02 18:35 19: :46 : 00:19 17:18 18:56 20: :26 23:52 : 17:37 19:22 20:45 Sun Moon Day Eqn.of Time Mer. Mer.Pass. Age 00 h 12 h Pass Upper Lower 1 02:57 03:11 12:03 08:07 20:36 26(19%) 2 03:25 03:40 12:03 09:07 21:39 27(11%) 3 03:54 04:08 12:04 10:12 22:46 28(4%) 3

16 January 04, 05,06 (Tue., Wed., Thu.) Aries Venus Mars Jupiter Saturn Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:08 v-0.7 d0.8 m-3.8 v2.5 d0.1 m-0.5 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:04 v-0.7 d0.9 m-3.8 v2.6 d0.1 m-0.5 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:17:00 v-0.7 d0.9 m-3.8 v2.6 d0.2 m-0.5 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 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 :04 Mars :23 Jupiter :43 Saturn : /1/5 SHA Mer.pass Venus :05 Mars :19 Jupiter :40 Saturn : /1/6 SHA Mer.pass Venus :06 Mars :15 Jupiter :37 Saturn :55 Horizontal paralax Venus: 0.1 Mars: 0.2 4

17 1916 January 04 to Jan. 06 h Sun Moon Tue GHA Dec GHA ν Dec d HP SD.=16.3 d=0.2 S.D.=16.7 Wed GHA Dec GHA ν Dec d HP SD.=16.3 d=0.3 S.D.=16.7 Thu GHA Dec GHA ν Dec d HP SD.=16.3 d=0.3 S.D.=16.6 Lat. Naut. Civil Sunrise Sunset Civil Naut :22 10:35 : : 13:36 15: :03 09:46 : : 14:25 16: :48 09:14 11:42 12:29 14:56 16: :36 08:51 10:23 13:47 15:19 16: :26 08:33 09:47 14:24 15:38 16: :17 08:18 09:21 14:49 15:53 16: :09 08:05 09:01 15:09 16:06 17: :02 07:54 08:45 15:26 16:17 17: :55 07:44 08:31 15:40 16:26 17: :50 07:35 08:19 15:52 16:35 17: :44 07:28 08:08 16:02 16:43 17: :39 07:20 07:58 16:12 16:50 17: :28 07:05 07:39 16:32 17:05 17: :18 06:52 07:22 16:48 17:18 17: :09 06:41 07:09 17:02 17:30 18: :01 06:31 06:57 17:14 17:40 18: :45 06:12 06:36 17:34 17:58 18: :29 05:56 06:18 17:52 18:15 18: :13 05:39 06:01 18:09 18:31 18: :54 05:21 05:44 18:26 18:49 19: :32 05:01 05:26 18:44 19:09 19: :04 04:37 05:05 19:05 19:33 20: :46 04:22 04:52 19:18 19:47 20: :24 04:05 04:37 19:32 20:05 20: :54 03:43 04:20 19:50 20:27 21: :12 03:15 03:58 20:11 20:55 21: :46 03:00 03:48 20:22 21:09 22: :09 02:43 03:36 20:33 21:26 22:59-56 : 02:22 03:23 20:47 21:47 : -58 : 01:55 03:07 21:03 22:13 : -60 : 01:15 02:47 21:22 22:53 : Moonrise Moonset Lat. Tue Wed Thu Tue Wed Thu 72 : : : : : : 70 : : 12:60 : : 14:14 68 : : 11:43 : : 15:29 66 : : 11:05 : : 16:06 64 : 10:54 10:38 : 14:09 16: :02 10:15 10:17 12:43 14:47 16: :18 09:47 09:60 13:26 15:14 17: :49 09:26 09:45 13:55 15:35 17: :27 09:08 09:33 14:17 15:52 17: :08 08:53 09:22 14:36 16:07 17: :53 08:40 09:12 14:51 16:19 17: :39 08:28 09:03 15:05 16:31 18: :11 08:04 08:45 15:32 16:54 18: :49 07:45 08:29 15:54 17:12 18: :31 07:29 08:16 16:12 17:27 18: :15 07:15 08:05 16:27 17:41 18: :48 06:51 07:46 16:53 18:03 19: :26 06:30 07:29 17:15 18:23 19: :04 06:10 07:13 17:36 18:40 19: :43 05:51 06:56 17:57 18:58 19: :20 05:30 06:39 18:19 19:17 20: :53 05:06 06:19 18:44 19:39 20: :38 04:51 06:08 18:59 19:52 20: :19 04:35 05:54 19:16 20:06 20: :57 04:15 05:38 19:37 20:23 20: :29 03:50 05:18 20:03 20:45 21: :16 03:37 05:09 20:15 20:55 21: :60 03:23 04:58 20:29 21:06 21: :41 03:07 04:46 20:46 21:18 21: :19 02:48 04:32 21:06 21:33 21: :49 02:24 04:16 21:30 21:50 22:00 Sun Moon Day Eqn.of Time Mer. Mer.Pass. Age 00 h 12 h Pass Upper Lower 4 04:22 04:36 12:04 11:20 23:53 29(1%) 5 04:50 05:04 12:05 12:25 00:56 0(0%) 6 05:17 05:31 12:05 13:26 00:56 1(3%) 5

18 January 07, 08,09 (Fri., Sat., Sun.) Aries Venus Mars Jupiter Saturn Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:16:56 v-0.7 d0.9 m-3.8 v2.6 d0.2 m-0.5 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:16:52 v-0.6 d0.9 m-3.8 v2.7 d0.2 m-0.6 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec Mer.pass.:16:48 v-0.6 d0.9 m-3.8 v2.7 d0.2 m-0.6 v2.1 d0.2 m-2.1 v2.7 d0.0 m-0.4 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 /1/7 SHA Mer.pass Venus :07 Mars :11 Jupiter :33 Saturn : /1/8 SHA Mer.pass Venus :08 Mars :06 Jupiter :30 Saturn : /1/9 SHA Mer.pass Venus :09 Mars :02 Jupiter :27 Saturn :42 Horizontal paralax Venus: 0.1 Mars: 0.2 6