Generated by PyAlmanac The Nautical Almanac 2013 downloaded from: TheNauticalAlmanac.com Author: Enno Rodegerdts December 1, 2014 Disclaimer: These are computer generated tables. Use on your own risk. The accuracy has been checked as good as possible but can not be guaranteed. This means, if you get lost on the oceans because of errors in this publication I can not be held liable. For security relevant applications you should buy an official version of the nautical almanac. 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. 229. 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. 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 In Southern Latitudes LHA greater than 180°....Zn=Z LHA greater than 180°....Zn= 180° – Z LHA less than 180°...........Zn=360° – Z LHA less than 180°...........Zn= 180° + Z Determine Refraction 0.96 ÷ Tan of (Ha) Determine Dip using feet 0.97 x (Square Root of He (Height of Eye) in feet) Determine Dip using meters 1.76 x (Square Root of He (Height of eye) in meters ) fair winds...clear skies and following seas TheNauticalAlmanac.com Explanation of The Nautical Almanac Daily Pages 1 Date based on GMT/UT 2 Time based on GMT/UT (this is just integral hour only) 3 Mer. pass- meridian passage of Aries at the Prime Meridian- Greenwich- 0°. Time figure is GMT/UT. 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 4 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 4a 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 5 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. SHA- planet SHA at the time of meridian passage at the Prime Meridian- Greenwich- 0°. Planet SHA is 7 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 12 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 13 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. 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 15 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. 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 16 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 00h and 12h. 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 12h 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 Greenwich and the Equation of Time. Example- May 30, 2016. Mer. Pass is at UT 11:57. 12h is 02:25. This means subtract 2 minutes and 25 17 seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075° meridian passage continued 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 18 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 19 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 Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of continued the Moon is illuminated. (morning) Twilight- Naut.- the approximate GMT/UT when morning Nautical Twilight begins. Nautical 21* twilight is the time when the center of the sun is 12° below the horizon and the horizon is visible enough see note at to be used for marine sextant observations. First locate your approximate Latitude in the Lat. column and bottom then follow across horizontally to the right to find the time. 21* (morning) Twilight- Civil- the approximate GMT/UT of morning civil twilight starts when the geometric see note at center of the sun is 6° below the horizon. First locate your approximate Latitude in the Lat. column and bottom then follow across horizontally to the right to find the time. 21* Sunrise- the approximate GMT/UT when the Sun is 0° 50' (semi-diameter plus refraction) below the see note at horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to bottom the right to find the time. (evening) Twilight- Naut.- the approximate GMT/UT of when evening Nautical Twilight ends. Nautical 21* twilight is the time when the center of the sun is 12° below the horizon and the horizon is no longer visible see note at enough to be used for sextant observations. First locate your approximate Latitude in the Lat. column bottom and then follow across horizontally to the right to find the time. 21* (evening) Twilight- Civil- the approximate GMT/UT of evening civil twilight that ends when the geometric see note at center of the sun is 6° below the horizon. First locate your approximate Latitude in the Lat. column and bottom then follow across horizontally to the right to find the time. 21* Sunset- the approximate GMT/UT when the Sun is 0° 50' (semi-diameter plus refraction) below the see note at horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to bottom 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 22* locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to see note at find the time under the specific day. bottom The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php Moonset- the approximate GMT/UT when the Moon is about 0° 05' to 0° 10' below the horizon. First 22* locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to see note at find the time under the specific day. bottom The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php * Note- Time of Sunrise, Sunset, Moonrise, Moonset and twilight is based on GMT/UT of the event at 0° (Greenwich). To determine the GMT/UT time at your Longitude add or subtract the time difference between your AP Longitude and Greenwich. Explanation of The Nautical Almanac Daily Pages.odt January 01, 02 ,03 (Tue., Wed., Thu.) Aries Venus Mars Jupiter Saturn Stars Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec SHA Dec 0 100◦48.7 201◦53.4 -22◦20.7 153◦29.8 -20◦12.5 34◦41.7 20◦54.3 242◦54.4 -12◦26.9 Alpheratz 357◦43.9 29◦10.0 1 115◦51.1 216◦52.5 -22◦21.0 168◦30.2 -20◦12.0 49◦44.5 20◦54.3 257◦56.7 -12◦27.0 Ankaa 353◦16.0 -42◦14.3 2 130◦53.6 231◦51.6 -22◦21.4 183◦30.6 -20◦11.5 64◦47.2 20◦54.3 272◦59.0 -12◦27.0 Schedar 349◦40.8 56◦36.9 3 145◦56.0 246◦50.7 -22◦21.7 198◦31.1 -20◦11.1 79◦49.9 20◦54.2 288◦01.2 -12◦27.1 Diphda 348◦56.1 -17◦55.0 4 160◦58.5 261◦49.7 -22◦22.0 213◦31.5 -20◦10.6 94◦52.6 20◦54.2 303◦03.5 -12◦27.1 Achernar 335◦26.9 -57◦10.5 5 176◦01.0 276◦48.8 -22◦22.4 228◦31.9 -20◦10.1 109◦55.3 20◦54.2 318◦05.8 -12◦27.2 Hamal 328◦01.0 23◦31.6 6 191◦03.4 291◦47.9 -22◦22.7 243◦32.4 -20◦09.6 124◦58.0 20◦54.1 333◦08.0 -12◦27.2 Polaris 317◦40.1 89◦19.5 7 206◦05.9 306◦47.0 -22◦23.1 258◦32.8 -20◦09.1 140◦00.7 20◦54.1 348◦10.3 -12◦27.3 Akamar 315◦18.3 -40◦15.4 8 221◦08.4 321◦46.1 -22◦23.4 273◦33.3 -20◦08.7 155◦03.5 20◦54.1 3◦12.6 -12◦27.3 Menkar 314◦15.2 4◦08.4 9 236◦10.8 336◦45.2 -22◦23.7 288◦33.7 -20◦08.2 170◦06.2 20◦54.1 18◦14.9 -12◦27.4 Mirfak 308◦40.4 49◦54.6 10 251◦13.3 351◦44.3 -22◦24.0 303◦34.1 -20◦07.7 185◦08.9 20◦54.0 33◦17.1 -12◦27.5 Aldebaran 290◦49.4 16◦32.1 11 266◦15.8 6◦43.4 -22◦24.4 318◦34.6 -20◦07.2 200◦11.6 20◦54.0 48◦19.4 -12◦27.5 Rigel 281◦12.0 -8◦11.4 12 281◦18.2 21◦42.5 -22◦24.7 333◦35.0 -20◦06.7 215◦14.3 20◦54.0 63◦21.7 -12◦27.6 Capella 280◦34.4 46◦00.7 13 296◦20.7 36◦41.6 -22◦25.0 348◦35.4 -20◦06.2 230◦17.0 20◦53.9 78◦24.0 -12◦27.6 Bellatrix 278◦32.0 6◦21.5 14 311◦23.2 51◦40.7 -22◦25.4 3◦35.9 -20◦05.8 245◦19.7 20◦53.9 93◦26.2 -12◦27.7 Elnath 278◦12.6 28◦37.0 15 326◦25.6 66◦39.8 -22◦25.7 18◦36.3 -20◦05.3 260◦22.4 20◦53.9 108◦28.5 -12◦27.7 Alnilam 275◦46.3 -1◦11.8 16 341◦28.1 81◦38.9 -22◦26.0 33◦36.7 -20◦04.8 275◦25.1 20◦53.9 123◦30.8 -12◦27.8 Betelgeuse 271◦01.3 7◦24.4 17 356◦30.5 96◦38.0 -22◦26.3 48◦37.2 -20◦04.3 290◦27.9 20◦53.8 138◦33.1 -12◦27.8 Canopus 263◦55.7 -52◦42.3 18 11◦33.0 111◦37.1 -22◦26.7 63◦37.6 -20◦03.8 305◦30.6 20◦53.8 153◦35.3 -12◦27.9 Sirius 258◦33.5 -16◦44.0 19 26◦35.5 126◦36.2 -22◦27.0 78◦38.1 -20◦03.3 320◦33.3 20◦53.8 168◦37.6 -12◦27.9 Adara 255◦12.4 -28◦59.6 20 41◦37.9 141◦35.3 -22◦27.3 93◦38.5 -20◦02.8 335◦36.0 20◦53.7 183◦39.9 -12◦28.0 Procyon 244◦59.6 5◦11.4 21 56◦40.4 156◦34.4 -22◦27.6 108◦38.9 -20◦02.4 350◦38.7 20◦53.7 198◦42.2 -12◦28.0 Pollux 243◦27.6 27◦59.4 22 71◦42.9 171◦33.5 -22◦27.9 123◦39.4 -20◦01.9 5◦41.4 20◦53.7 213◦44.5 -12◦28.1 Avior 234◦17.5 -59◦33.1 23 86◦45.3 186◦32.6 -22◦28.2 138◦39.8 -20◦01.4 20◦44.1 20◦53.7 228◦46.7 -12◦28.1 Suhail 222◦52.3 -43◦29.2 Mer.pass.:17:13 v-0.9d-0.3m-3.8 v0.4d0.5m1.2 v2.7d-0.0m-2.6 v2.3d-0.1m0.6 Miaplacidus 221◦38.9 -69◦46.2 Alphard 217◦56.1 -8◦43.1 Regulus 207◦43.6 11◦54.0 Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec 11111111112222012345678901234567890123 111111122222223333124578013467902356891245272727161617272727272727◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦455550000111112222333344702570257024792479247924........................837261605049483827161505 2222222333311111123568901346790235124578616161616161616161161616◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦332222222222211111111111109887654321098876543210........................778901234567789012344567 ------------------------222222222222222222222222222222222222222222222222◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦222223333333333333333333889990001111222333444455........................692581470369258147036925 1111222222333311113467956891245780134023383838338383838383838838◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦444444444444444444444445677889001122233445566990........................937261371604938261504594 ------------------------111111221111111111111111999999009999999999999999◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦555555005555555555555554332211009998877665544009........................516161949405050505050616 1111112222222333335689212457801346790235650505116161616161616161◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦444555000011112223333444669247035813692470258039........................385297418529630741852960 222222222222222222222222000000000000000000000000◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦555555555555555555555555333333333333333333333333........................066665554444333222211110 2222333311111112213467945780134023568912494949438383949949494949◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦455550002223333340011112913580243570246917914680........................036814792470368142581369 ------------------------111111111111111111111111222222222222222222222222◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦222222222222222222222222888888889999999998888888........................223344560011223346778899 RKRZaaDiAMgAsuuKaeAilEbsGrlGpSenDlAcAnHoNhAethAnKSaSheAitVAautncealleakccbuuaacplaiemuhnbgeettocerrdbnruaorinarslaaguuuhccutneagiiikllittibhdhnkaaaaaaxxeesstrr...i 11111111111111111131488034997967237957504687283277866502569232382560◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦53555350024002122120443501196232911885016932764998.........................8630485520519759527186619 --------------6154172153161656312613328145994621810737066695746◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦41105231152200420403224150347396013555507246392764.........................4760089100997925836235873 Mer.pass.:17:09 v-0.9d-0.3m-3.8 v0.4d0.5m1.2 v2.7d-0.0m-2.6 v2.3d-0.1m0.6 Peacock 53◦20.3 -56◦41.5 Deneb 49◦32.1 45◦19.9 Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec Enif 33◦47.7 9◦56.3 0 102◦46.9 201◦09.8 -22◦35.8 153◦50.8 -19◦49.1 36◦51.7 20◦53.0 244◦43.7 -12◦29.4 Alnair 27◦44.5 -46◦53.9 1 117◦49.4 216◦08.9 -22◦36.0 168◦51.3 -19◦48.6 51◦54.4 20◦52.9 259◦46.0 -12◦29.5 Fomalhaut 15◦24.6 -29◦33.2 2 132◦51.9 231◦08.0 -22◦36.3 183◦51.7 -19◦48.1 66◦57.1 20◦52.9 274◦48.2 -12◦29.5 Scheat 13◦53.8 28◦09.4 3 147◦54.3 246◦07.0 -22◦36.6 198◦52.2 -19◦47.6 81◦59.8 20◦52.9 289◦50.5 -12◦29.6 Markab 13◦38.8 15◦16.7 4 162◦56.8 261◦06.1 -22◦36.9 213◦52.6 -19◦47.1 97◦02.5 20◦52.9 304◦52.8 -12◦29.6 2013/1/1 SHA Mer.pass 5 177◦59.2 276◦05.2 -22◦37.2 228◦53.0 -19◦46.6 112◦05.2 20◦52.8 319◦55.1 -12◦29.7 Venus 101◦04.7 10:33 6 193◦01.7 291◦04.3 -22◦37.4 243◦53.5 -19◦46.1 127◦07.9 20◦52.8 334◦57.4 -12◦29.7 Mars 52◦41.1 13:46 7 208◦04.2 306◦03.4 -22◦37.7 258◦53.9 -19◦45.6 142◦10.6 20◦52.8 349◦59.6 -12◦29.8 Jupiter 293◦53.1 21:37 8 223◦06.6 321◦02.5 -22◦38.0 273◦54.4 -19◦45.1 157◦13.3 20◦52.8 5◦01.9 -12◦29.8 Saturn 142◦05.8 07:47 9 238◦09.1 336◦01.6 -22◦38.3 288◦54.8 -19◦44.6 172◦16.0 20◦52.7 20◦04.2 -12◦29.9 10 253◦11.6 351◦00.6 -22◦38.6 303◦55.3 -19◦44.1 187◦18.7 20◦52.7 35◦06.5 -12◦29.9 2013/1/2 SHA Mer.pass 11 268◦14.0 5◦59.7 -22◦38.8 318◦55.7 -19◦43.6 202◦21.4 20◦52.7 50◦08.8 -12◦30.0 Venus 99◦43.9 10:35 12 283◦16.5 20◦58.8 -22◦39.1 333◦56.2 -19◦43.1 217◦24.1 20◦52.7 65◦11.0 -12◦30.0 Mars 51◦52.5 13:45 13 298◦19.0 35◦57.9 -22◦39.4 348◦56.6 -19◦42.6 232◦26.8 20◦52.6 80◦13.3 -12◦30.1 Jupiter 293◦59.0 21:33 14 313◦21.4 50◦57.0 -22◦39.6 3◦57.0 -19◦42.1 247◦29.5 20◦52.6 95◦15.6 -12◦30.1 Saturn 142◦01.2 07:44 15 328◦23.9 65◦56.0 -22◦39.9 18◦57.5 -19◦41.6 262◦32.2 20◦52.6 110◦17.9 -12◦30.2 2013/1/3 SHA Mer.pass 16 343◦26.4 80◦55.1 -22◦40.2 33◦57.9 -19◦41.1 277◦34.9 20◦52.5 125◦20.2 -12◦30.2 Venus 98◦22.9 10:36 17 358◦28.8 95◦54.2 -22◦40.4 48◦58.4 -19◦40.6 292◦37.6 20◦52.5 140◦22.5 -12◦30.3 Mars 51◦03.9 13:44 18 13◦31.3 110◦53.3 -22◦40.7 63◦58.8 -19◦40.1 307◦40.3 20◦52.5 155◦24.7 -12◦30.3 Jupiter 294◦04.8 21:29 19 28◦33.7 125◦52.4 -22◦41.0 78◦59.3 -19◦39.6 322◦43.0 20◦52.5 170◦27.0 -12◦30.4 Saturn 141◦56.7 07:40 20 43◦36.2 140◦51.5 -22◦41.2 93◦59.7 -19◦39.1 337◦45.7 20◦52.4 185◦29.3 -12◦30.4 Horizontalparalax 21 58◦38.7 155◦50.5 -22◦41.5 109◦00.2 -19◦38.6 352◦48.4 20◦52.4 200◦31.6 -12◦30.5 Venus: 0.1 22 73◦41.1 170◦49.6 -22◦41.8 124◦00.6 -19◦38.1 7◦51.1 20◦52.4 215◦33.9 -12◦30.5 Mars: 0.1 23 88◦43.6 185◦48.7 -22◦42.0 139◦01.1 -19◦37.6 22◦53.8 20◦52.4 230◦36.1 -12◦30.6 Mer.pass.:17:06 v-0.9d-0.3m-3.8 v0.4d0.5m1.2 v2.7d-0.0m-2.6 v2.3d-0.1m0.6 2 2013 January 01 to Jan. 03 h Sun Moon Tue GHA Dec GHA ν Dec d HP Twilight Twilight 0 179◦08.5 -23◦00.1 319◦18.2 13.5 9◦42.5 -10.0 55.5 Lat. Naut. Civil Sunrise Sunset Civil Naut. 1 194◦08.2 -22◦59.9 333◦50.6 13.5 9◦32.5 -10.0 55.5 72 08:23 10:39 –:– –:– 13:30 15:46 2 209◦07.9 -22◦59.7 348◦23.1 13.5 9◦22.5 -10.0 55.6 70 08:04 09:48 –:– –:– 14:21 16:05 3 224◦07.6 -22◦59.5 2◦55.6 13.5 9◦12.4 -10.1 55.6 68 07:49 09:16 –:– –:– 14:53 16:20 4 239◦07.3 -22◦59.3 17◦28.1 13.5 9◦02.3 -10.1 55.6 66 07:37 08:52 10:25 13:43 15:17 16:32 5 254◦07.0 -22◦59.1 32◦00.6 13.5 8◦52.1 -10.2 55.6 64 07:26 08:33 09:48 14:20 15:35 16:42 6 269◦06.7 -22◦58.9 46◦33.1 13.5 8◦41.9 -10.2 55.6 62 07:17 08:18 09:22 14:47 15:50 16:51 7 284◦06.4 -22◦58.7 61◦05.6 13.5 8◦31.7 -10.3 55.7 60 07:09 08:05 09:02 15:07 16:03 16:59 8 299◦06.1 -22◦58.5 75◦38.1 13.5 8◦21.4 -10.3 55.7 58 07:02 07:54 08:45 15:24 16:15 17:07 9 314◦05.8 -22◦58.3 90◦10.6 13.5 8◦11.0 -10.4 55.7 56 06:55 07:44 08:31 15:38 16:24 17:13 10 329◦05.6 -22◦58.1 104◦43.2 13.5 8◦00.6 -10.4 55.7 54 06:50 07:35 08:19 15:50 16:33 17:19 11 344◦05.3 -22◦57.8 119◦15.7 13.5 7◦50.2 -10.5 55.7 52 06:44 07:28 08:08 16:01 16:41 17:24 12 359◦05.0 -22◦57.6 133◦48.3 13.5 7◦39.7 -10.5 55.8 50 06:39 07:20 07:58 16:10 16:48 17:29 13 14◦04.7 -22◦57.4 148◦20.8 13.6 7◦29.2 -10.5 55.8 45 06:28 07:05 07:38 16:30 17:04 17:41 14 29◦04.4 -22◦57.2 162◦53.4 13.6 7◦18.7 -10.6 55.8 40 06:18 06:52 07:22 16:46 17:17 17:51 15 44◦04.1 -22◦57.0 177◦25.9 13.6 7◦08.1 -10.6 55.8 35 06:09 06:40 07:08 17:00 17:28 17:60 16 59◦03.8 -22◦56.8 191◦58.5 13.6 6◦57.4 -10.7 55.9 30 06:00 06:30 06:56 17:12 17:38 18:08 17 74◦03.5 -22◦56.6 206◦31.0 13.6 6◦46.8 -10.7 55.9 20 05:44 06:12 06:35 17:33 17:57 18:24 18 89◦03.2 -22◦56.3 221◦03.6 13.6 6◦36.0 -10.7 55.9 10 05:28 05:55 06:17 17:51 18:14 18:40 19 104◦02.9 -22◦56.1 235◦36.1 13.6 6◦25.3 -10.8 55.9 0 05:12 05:38 06:00 18:08 18:30 18:56 20 119◦02.6 -22◦55.9 250◦08.7 13.6 6◦14.5 -10.8 55.9 -10 04:53 05:20 05:43 18:25 18:48 19:15 21 134◦02.3 -22◦55.7 264◦41.3 13.6 6◦03.7 -10.8 56.0 -20 04:31 05:00 05:25 18:43 19:08 19:37 22 149◦02.0 -22◦55.4 279◦13.8 13.6 5◦52.8 -10.9 56.0 -30 04:03 04:36 05:03 19:05 19:32 20:05 23 164◦01.8 -22◦55.2 293◦46.4 13.6 5◦41.9 -10.9 56.0 -35 03:45 04:21 04:51 19:18 19:47 20:23 SD.=16.3 d=0.2 S.D.=15.1 -40 03:22 04:03 04:36 19:32 20:05 20:46 -45 02:52 03:41 04:18 19:50 20:27 21:15 -50 02:09 03:13 03:56 20:11 20:55 21:58 Wed GHA Dec GHA ν Dec d HP 0 179◦01.5 -22◦55.0 308◦18.9 13.6 5◦31.0 -10.9 56.0 -52 01:43 02:58 03:46 20:22 21:10 22:24 1 194◦01.2 -22◦54.8 322◦51.5 13.5 5◦20.1 -11.0 56.1 -54 01:04 02:41 03:34 20:34 21:27 23:02 2 209◦00.9 -22◦54.6 337◦24.0 13.5 5◦09.1 -11.0 56.1 -56 –:– 02:20 03:20 20:47 21:47 –:– 3 224◦00.6 -22◦54.3 351◦56.6 13.5 4◦58.1 -11.0 56.1 -58 –:– 01:52 03:04 21:03 22:15 –:– 4 239◦00.3 -22◦54.1 6◦29.1 13.5 4◦47.0 -11.1 56.1 -60 –:– 01:10 02:45 21:22 22:56 –:– 5 254◦00.0 -22◦53.9 21◦01.6 13.5 4◦35.9 -11.1 56.2 6 268◦59.7 -22◦53.6 35◦34.2 13.5 4◦24.8 -11.1 56.2 Moonrise Moonset 7 283◦59.4 -22◦53.4 50◦06.7 13.5 4◦13.7 -11.2 56.2 Lat. Tue Wed Thu Tue Wed Thu 8 298◦59.1 -22◦53.2 64◦39.2 13.5 4◦02.5 -11.2 56.2 72 20:02 21:51 23:41 10:42 10:29 10:16 9 313◦58.9 -22◦53.0 79◦11.7 13.5 3◦51.3 -11.2 56.2 70 20:12 21:53 23:36 10:31 10:24 10:18 10 328◦58.6 -22◦52.7 93◦44.2 13.5 3◦40.1 -11.2 56.3 68 20:19 21:54 23:31 10:21 10:20 10:19 11 343◦58.3 -22◦52.5 108◦16.6 13.5 3◦28.9 -11.3 56.3 66 20:25 21:55 23:28 10:14 10:17 10:20 12 358◦58.0 -22◦52.3 122◦49.1 13.5 3◦17.6 -11.3 56.3 64 20:30 21:57 23:25 10:07 10:14 10:21 13 13◦57.7 -22◦52.0 137◦21.5 13.4 3◦06.3 -11.3 56.3 62 20:35 21:57 23:22 10:02 10:12 10:22 14 28◦57.4 -22◦51.8 151◦54.0 13.4 2◦55.0 -11.3 56.4 60 20:39 21:58 23:20 09:57 10:10 10:22 15 43◦57.1 -22◦51.6 166◦26.4 13.4 2◦43.7 -11.3 56.4 58 20:42 21:59 23:18 09:52 10:08 10:23 16 58◦56.8 -22◦51.3 180◦58.8 13.4 2◦32.3 -11.4 56.4 56 20:45 21:60 23:16 09:48 10:06 10:23 17 73◦56.5 -22◦51.1 195◦31.2 13.4 2◦20.9 -11.4 56.4 54 20:48 22:00 23:14 09:45 10:05 10:24 18 88◦56.2 -22◦50.8 210◦03.6 13.4 2◦09.5 -11.4 56.5 52 20:50 22:01 23:13 09:42 10:03 10:24 19 103◦56.0 -22◦50.6 224◦35.9 13.3 1◦58.1 -11.4 56.5 50 20:53 22:01 23:12 09:39 10:02 10:25 20 118◦55.7 -22◦50.4 239◦08.3 13.3 1◦46.7 -11.4 56.5 45 20:57 22:02 23:09 09:32 09:59 10:26 21 133◦55.4 -22◦50.1 253◦40.6 13.3 1◦35.2 -11.5 56.5 40 21:01 22:03 23:06 09:27 09:57 10:26 22 148◦55.1 -22◦49.9 268◦12.9 13.3 1◦23.8 -11.5 56.6 35 21:05 22:04 23:04 09:22 09:55 10:27 23 163◦54.8 -22◦49.6 282◦45.2 13.3 1◦12.3 -11.5 56.6 30 21:08 22:05 23:03 09:18 09:53 10:27 SD.=16.3 d=0.2 S.D.=15.3 20 21:13 22:06 22:59 09:11 09:50 10:28 10 21:18 22:07 22:57 09:05 09:47 10:29 0 21:22 22:08 22:54 08:59 09:44 10:30 Thu GHA Dec GHA ν Dec d HP 0 178◦54.5 -22◦49.4 297◦17.4 13.2 1◦00.8 -11.5 56.6 -10 21:27 22:09 22:52 08:53 09:41 10:31 1 193◦54.2 -22◦49.2 311◦49.7 13.2 0◦49.3 -11.5 56.6 -20 21:31 22:10 22:49 08:46 09:38 10:31 2 208◦53.9 -22◦48.9 326◦21.9 13.2 0◦37.7 -11.5 56.7 -30 21:37 22:11 22:46 08:39 09:35 10:32 3 223◦53.7 -22◦48.7 340◦54.1 13.2 0◦26.2 -11.5 56.7 -35 21:40 22:12 22:45 08:35 09:33 10:33 4 238◦53.4 -22◦48.4 355◦26.2 13.2 0◦14.6 -11.6 56.7 -40 21:43 22:13 22:43 08:30 09:31 10:33 5 253◦53.1 -22◦48.2 9◦58.4 13.1 0◦03.1 -11.6 56.8 -45 21:47 22:14 22:40 08:24 09:28 10:34 6 268◦52.8 -22◦47.9 24◦30.5 13.1 -0◦08.5 -11.6 56.8 -50 21:52 22:15 22:38 08:17 09:25 10:35 7 283◦52.5 -22◦47.7 39◦02.6 13.1 -0◦20.1 -11.6 56.8 -52 21:54 22:15 22:37 08:14 09:24 10:35 8 298◦52.2 -22◦47.4 53◦34.6 13.0 -0◦31.7 -11.6 56.8 -54 21:56 22:16 22:35 08:11 09:22 10:35 9 313◦51.9 -22◦47.2 68◦06.7 13.0 -0◦43.3 -11.6 56.9 -56 21:59 22:16 22:34 08:07 09:20 10:36 10 328◦51.7 -22◦46.9 82◦38.7 13.0 -0◦54.9 -11.6 56.9 -58 22:02 22:17 22:33 08:02 09:19 10:36 11 343◦51.4 -22◦46.7 97◦10.6 13.0 -1◦06.5 -11.6 56.9 -60 22:05 22:18 22:31 07:57 09:16 10:37 12 358◦51.1 -22◦46.4 111◦42.6 12.9 -1◦18.1 -11.6 56.9 13 13◦50.8 -22◦46.2 126◦14.5 12.9 -1◦29.7 -11.6 57.0 Sun Moon 14 28◦50.5 -22◦45.9 140◦46.3 12.9 -1◦41.4 -11.6 57.0 Day Eqn.ofTime Mer. Mer.Pass. Age 15 43◦50.2 -22◦45.7 155◦18.2 12.8 -1◦53.0 -11.6 57.0 00h 12h Pass Upper Lower 16 58◦49.9 -22◦45.4 169◦50.0 12.8 -2◦04.6 -11.6 57.1 1 03:26 03:40 12:03 02:47 15:10 19(85%) 17 73◦49.7 -22◦45.2 184◦21.7 12.7 -2◦16.3 -11.6 57.1 2 03:54 04:08 12:04 03:33 15:55 20(77%) 18 88◦49.4 -22◦44.9 198◦53.5 12.7 -2◦27.9 -11.6 57.1 3 04:22 04:36 12:04 04:18 16:41 21(68%) 19 103◦49.1 -22◦44.6 213◦25.2 12.7 -2◦39.5 -11.6 57.1 20 118◦48.8 -22◦44.4 227◦56.8 12.6 -2◦51.1 -11.6 57.2 21 133◦48.5 -22◦44.1 242◦28.4 12.6 -3◦02.8 -11.6 57.2 22 148◦48.2 -22◦43.9 256◦60.0 12.5 -3◦14.4 -11.6 57.2 23 163◦48.0 -22◦43.6 271◦31.5 12.5 -3◦26.0 -11.6 57.3 SD.=16.3 d=0.2 S.D.=15.4 3 January 04, 05 ,06 (Fri., Sat., Sun.) Aries Venus Mars Jupiter Saturn Stars Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec SHA Dec 0 103◦46.1 200◦47.8 -22◦42.3 154◦01.5 -19◦37.1 37◦56.5 20◦52.3 245◦38.4 -12◦30.6 Alpheratz 357◦43.9 29◦10.0 1 118◦48.5 215◦46.9 -22◦42.5 169◦02.0 -19◦36.6 52◦59.1 20◦52.3 260◦40.7 -12◦30.7 Ankaa 353◦16.0 -42◦14.3 2 133◦51.0 230◦45.9 -22◦42.8 184◦02.4 -19◦36.1 68◦01.8 20◦52.3 275◦43.0 -12◦30.7 Schedar 349◦40.9 56◦36.9 3 148◦53.5 245◦45.0 -22◦43.0 199◦02.8 -19◦35.6 83◦04.5 20◦52.3 290◦45.3 -12◦30.8 Diphda 348◦56.1 -17◦55.0 4 163◦55.9 260◦44.1 -22◦43.3 214◦03.3 -19◦35.0 98◦07.2 20◦52.2 305◦47.6 -12◦30.8 Achernar 335◦26.9 -57◦10.5 5 178◦58.4 275◦43.2 -22◦43.5 229◦03.7 -19◦34.5 113◦09.9 20◦52.2 320◦49.8 -12◦30.9 Hamal 328◦01.0 23◦31.6 6 194◦00.9 290◦42.3 -22◦43.8 244◦04.2 -19◦34.0 128◦12.6 20◦52.2 335◦52.1 -12◦30.9 Polaris 317◦41.2 89◦19.5 7 209◦03.3 305◦41.3 -22◦44.0 259◦04.6 -19◦33.5 143◦15.3 20◦52.2 350◦54.4 -12◦31.0 Akamar 315◦18.3 -40◦15.4 8 224◦05.8 320◦40.4 -22◦44.3 274◦05.1 -19◦33.0 158◦18.0 20◦52.1 5◦56.7 -12◦31.0 Menkar 314◦15.2 4◦08.4 9 239◦08.2 335◦39.5 -22◦44.5 289◦05.5 -19◦32.5 173◦20.7 20◦52.1 20◦59.0 -12◦31.1 Mirfak 308◦40.4 49◦54.6 10 254◦10.7 350◦38.6 -22◦44.8 304◦06.0 -19◦32.0 188◦23.4 20◦52.1 36◦01.3 -12◦31.1 Aldebaran 290◦49.4 16◦32.1 11 269◦13.2 5◦37.6 -22◦45.0 319◦06.4 -19◦31.5 203◦26.1 20◦52.1 51◦03.5 -12◦31.2 Rigel 281◦12.0 -8◦11.4 12 284◦15.6 20◦36.7 -22◦45.3 334◦06.9 -19◦31.0 218◦28.8 20◦52.0 66◦05.8 -12◦31.2 Capella 280◦34.4 46◦00.7 13 299◦18.1 35◦35.8 -22◦45.5 349◦07.3 -19◦30.5 233◦31.4 20◦52.0 81◦08.1 -12◦31.3 Bellatrix 278◦32.0 6◦21.5 14 314◦20.6 50◦34.9 -22◦45.8 4◦07.8 -19◦30.0 248◦34.1 20◦52.0 96◦10.4 -12◦31.3 Elnath 278◦12.6 28◦37.0 15 329◦23.0 65◦34.0 -22◦46.0 19◦08.2 -19◦29.4 263◦36.8 20◦52.0 111◦12.7 -12◦31.4 Alnilam 275◦46.3 -1◦11.8 16 344◦25.5 80◦33.0 -22◦46.2 34◦08.7 -19◦28.9 278◦39.5 20◦51.9 126◦15.0 -12◦31.4 Betelgeuse 271◦01.3 7◦24.4 17 359◦28.0 95◦32.1 -22◦46.5 49◦09.1 -19◦28.4 293◦42.2 20◦51.9 141◦17.3 -12◦31.5 Canopus 263◦55.7 -52◦42.4 18 14◦30.4 110◦31.2 -22◦46.7 64◦09.6 -19◦27.9 308◦44.9 20◦51.9 156◦19.5 -12◦31.5 Sirius 258◦33.5 -16◦44.1 19 29◦32.9 125◦30.3 -22◦46.9 79◦10.0 -19◦27.4 323◦47.6 20◦51.8 171◦21.8 -12◦31.6 Adara 255◦12.4 -28◦59.6 20 44◦35.3 140◦29.3 -22◦47.2 94◦10.5 -19◦26.9 338◦50.3 20◦51.8 186◦24.1 -12◦31.6 Procyon 244◦59.6 5◦11.4 21 59◦37.8 155◦28.4 -22◦47.4 109◦10.9 -19◦26.4 353◦52.9 20◦51.8 201◦26.4 -12◦31.7 Pollux 243◦27.6 27◦59.4 22 74◦40.3 170◦27.5 -22◦47.6 124◦11.4 -19◦25.9 8◦55.6 20◦51.8 216◦28.7 -12◦31.7 Avior 234◦17.5 -59◦33.1 23 89◦42.7 185◦26.6 -22◦47.9 139◦11.8 -19◦25.3 23◦58.3 20◦51.7 231◦31.0 -12◦31.8 Suhail 222◦52.2 -43◦29.2 Mer.pass.:17:02 v-0.9d-0.3m-3.8 v0.4d0.5m1.2 v2.7d-0.0m-2.6 v2.3d-0.0m0.6 Miaplacidus 221◦38.9 -69◦46.2 Alphard 217◦56.1 -8◦43.1 Regulus 207◦43.6 11◦54.0 Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec 11111111112222012345678901234567890123 1111111222222333313467901346791245780134050505049494940505050505◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦445555600001111222233334570257024792479247924791........................271615059483827261605049 2222222333311111123568901346790235124578505050505050505050050505◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦222222211111111100000001543211098764321098876545........................678990122345677899012234 ------------------------222222222222222222222222222222222222222222222222◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦444444444555555555555555888899999000011111222223........................136802579135802468024680 1111222222333311113467956891245780134023494949449494949494949949◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦111111111111111122222221223344555667789900011228........................372615049382721504938276 ------------------------111111111111111111111111999999999999999999999999◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦222222222211111111111111443322110099887766554332........................838383727271616150505949 11111122222223333356891212457801346790235949490549494949494949494◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦000011112223333444455500136914792570358136924702........................074174185295296396307307 222222222222222222222222000000000000000000000000◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦555555555555555555555555111111111111111111111111........................777666665555444433332222 2222333311111122223568946790235124578013616172761616161272727272◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦333444445555000001111222357024791368035792469135........................358147035814703681470369 ------------------------111111111111111111111111222222222222222222222222◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦333333333333333333333333111222222222222222222222........................899001122233445566778899 RKRZaaDiAMgAsuuKaeAilEbsGrlGpSenDlAcAnHoNhAethAnKSaSheAitVAautncealleakccbuuaacplaiemuhnbgeettocerrdbnruaorinarslaaguuuhccutneagiiikllittibhdhnkaaaaaaxxeesstrr...i 11111111111111111131488034997967237957504687283277866502569232382560◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦53555350024002122120443501196232911885016932764998.........................7630385510509659527186619 --------------6154172153161656312613328145994621810737066695746◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦41105231152200420403224150347396013555507246392764.........................4760089100997825836135873 Mer.pass.:16:58 v-0.9d-0.2m-3.8 v0.5d0.5m1.2 v2.7d-0.0m-2.5 v2.3d-0.0m0.6 Peacock 53◦20.3 -56◦41.5 Deneb 49◦32.1 45◦19.9 Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec Enif 33◦47.7 9◦56.2 0 105◦44.3 200◦03.4 -22◦53.2 154◦23.1 -19◦12.4 40◦05.4 20◦51.1 247◦28.2 -12◦33.0 Alnair 27◦44.5 -46◦53.9 1 120◦46.8 215◦02.4 -22◦53.4 169◦23.6 -19◦11.9 55◦08.1 20◦51.1 262◦30.4 -12◦33.0 Fomalhaut 15◦24.6 -29◦33.2 2 135◦49.3 230◦01.5 -22◦53.6 184◦24.1 -19◦11.3 70◦10.7 20◦51.1 277◦32.7 -12◦33.1 Scheat 13◦53.9 28◦09.4 3 150◦51.7 245◦00.6 -22◦53.8 199◦24.5 -19◦10.8 85◦13.4 20◦51.1 292◦35.0 -12◦33.1 Markab 13◦38.8 15◦16.7 4 165◦54.2 259◦59.6 -22◦54.0 214◦25.0 -19◦10.3 100◦16.1 20◦51.0 307◦37.3 -12◦33.2 2013/1/4 SHA Mer.pass 5 180◦56.7 274◦58.7 -22◦54.2 229◦25.4 -19◦09.8 115◦18.8 20◦51.0 322◦39.6 -12◦33.2 Venus 97◦01.7 10:37 6 195◦59.1 289◦57.8 -22◦54.4 244◦25.9 -19◦09.2 130◦21.4 20◦51.0 337◦41.9 -12◦33.2 Mars 50◦15.4 13:43 7 211◦01.6 304◦56.9 -22◦54.6 259◦26.3 -19◦08.7 145◦24.1 20◦51.0 352◦44.2 -12◦33.3 Jupiter 294◦10.4 21:24 8 226◦04.1 319◦55.9 -22◦54.8 274◦26.8 -19◦08.2 160◦26.8 20◦51.0 7◦46.5 -12◦33.3 Saturn 141◦52.4 07:36 9 241◦06.5 334◦55.0 -22◦55.0 289◦27.2 -19◦07.6 175◦29.5 20◦50.9 22◦48.8 -12◦33.4 10 256◦09.0 349◦54.1 -22◦55.2 304◦27.7 -19◦07.1 190◦32.1 20◦50.9 37◦51.1 -12◦33.4 2013/1/5 SHA Mer.pass 11 271◦11.4 4◦53.1 -22◦55.4 319◦28.2 -19◦06.6 205◦34.8 20◦50.9 52◦53.3 -12◦33.5 Venus 95◦40.4 10:39 12 286◦13.9 19◦52.2 -22◦55.6 334◦28.6 -19◦06.1 220◦37.5 20◦50.9 67◦55.6 -12◦33.5 Mars 49◦27.1 13:43 13 301◦16.4 34◦51.3 -22◦55.7 349◦29.1 -19◦05.5 235◦40.2 20◦50.8 82◦57.9 -12◦33.6 Jupiter 294◦15.8 21:20 14 316◦18.8 49◦50.3 -22◦55.9 4◦29.5 -19◦05.0 250◦42.8 20◦50.8 98◦00.2 -12◦33.6 Saturn 141◦48.0 07:33 15 331◦21.3 64◦49.4 -22◦56.1 19◦30.0 -19◦04.5 265◦45.5 20◦50.8 113◦02.5 -12◦33.7 2013/1/6 SHA Mer.pass 16 346◦23.8 79◦48.5 -22◦56.3 34◦30.4 -19◦04.0 280◦48.2 20◦50.8 128◦04.8 -12◦33.7 Venus 94◦19.0 10:40 17 1◦26.2 94◦47.5 -22◦56.5 49◦30.9 -19◦03.4 295◦50.9 20◦50.7 143◦07.1 -12◦33.8 Mars 48◦38.8 13:42 18 16◦28.7 109◦46.6 -22◦56.7 64◦31.4 -19◦02.9 310◦53.5 20◦50.7 158◦09.4 -12◦33.8 Jupiter 294◦21.0 21:16 19 31◦31.2 124◦45.7 -22◦56.8 79◦31.8 -19◦02.4 325◦56.2 20◦50.7 173◦11.7 -12◦33.9 Saturn 141◦43.8 07:29 20 46◦33.6 139◦44.7 -22◦57.0 94◦32.3 -19◦01.8 340◦58.9 20◦50.7 188◦14.0 -12◦33.9 Horizontalparalax 21 61◦36.1 154◦43.8 -22◦57.2 109◦32.7 -19◦01.3 356◦01.5 20◦50.7 203◦16.3 -12◦33.9 Venus: 0.1 22 76◦38.6 169◦42.9 -22◦57.4 124◦33.2 -19◦00.8 11◦04.2 20◦50.6 218◦18.5 -12◦34.0 Mars: 0.1 23 91◦41.0 184◦41.9 -22◦57.5 139◦33.7 -19◦00.2 26◦06.9 20◦50.6 233◦20.8 -12◦34.0 Mer.pass.:16:54 v-0.9d-0.2m-3.8 v0.5d0.5m1.2 v2.7d-0.0m-2.5 v2.3d-0.0m0.6 4