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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. The Nautical Almanac 2018
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  • 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.

    The Nautical Almanac 2018

  • The Nautical AlmanacTable of Contents

    Part Page

    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

    6

    Formulas 7-9

    Explanation of The Nautical Almanac pages 10-13

    Moon Phases (includes Moon in graphic form) 14-15

    Conversion of Arc to Time 16

    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 seasTheNauticalAlmanac.com

    Copyright 2018 TheNauticalAlmanac.comYou are free to copy and distribute this document in its entirety

    freely ye received, freely give

    2018 Table of Contents- regular version.odt

  • 2018January February March

    M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su1 2 3 4 5 6 7 1 2 3 4 1 2 3 48 9 10 11 12 13 14 5 6 7 8 9 10 11 5 6 7 8 9 10 11

    15 16 17 18 19 20 21 12 13 14 15 16 17 18 12 13 14 15 16 17 1822 23 24 25 26 27 28 19 20 21 22 23 24 25 19 20 21 22 23 24 2529 30 31 26 27 28 26 27 28 29 30 31

    April May JuneM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

    1 1 2 3 4 5 6 1 2 32 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 109 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17

    16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 2423 24 25 26 27 28 29 28 29 30 31 25 26 27 28 29 3030

    July August SeptemberM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

    1 1 2 3 4 5 1 22 3 4 5 6 7 8 6 7 8 9 10 11 12 3 4 5 6 7 8 99 10 11 12 13 14 15 13 14 15 16 17 18 19 10 11 12 13 14 15 16

    16 17 18 19 20 21 22 20 21 22 23 24 25 26 17 18 19 20 21 22 2323 24 25 26 27 28 29 27 28 29 30 31 24 25 26 27 28 29 3030 31

    October November DecemberM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su1 2 3 4 5 6 7 1 2 3 4 1 28 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9

    15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 1622 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 2329 30 31 26 27 28 29 30 24 25 26 27 28 29 30

    31

  • Day of Week & Day of Year

    2018 1 2 3 4 5 6January February March April May June

    Day Day Day Day Day Day Day Day Day Day Day Day Dayof of of of of of of of of of of of ofMonth Week Year Week Year Week Year Week Year Week Year Week Year1 Mon 1 Thu 32 Thu 60 Sun 91 Tue 121 Fri 1522 Tue 2 Fri 33 Fri 61 Mon 92 Wed 122 Sat 1533 Wed 3 Sat 34 Sat 62 Tue 93 Thu 123 Sun 1544 Thu 4 Sun 35 Sun 63 Wed 94 Fri 124 Mon 1555 Fri 5 Mon 36 Mon 64 Thu 95 Sat 125 Tue 156

    6 Sat 6 Tue 37 Tue 65 Fri 96 Sun 126 Wed 1577 Sun 7 Wed 38 Wed 66 Sat 97 Mon 127 Thu 1588 Mon 8 Thu 39 Thu 67 Sun 98 Tue 128 Fri 1599 Tue 9 Fri 40 Fri 68 Mon 99 Wed 129 Sat 16010 Wed 10 Sat 41 Sat 69 Tue 100 Thu 130 Sun 161

    11 Thu 11 Sun 42 Sun 70 Wed 101 Fri 131 Mon 16212 Fri 12 Mon 43 Mon 71 Thu 102 Sat 132 Tue 16313 Sat 13 Tue 44 Tue 72 Fri 103 Sun 133 Wed 16414 Sun 14 Wed 45 Wed 73 Sat 104 Mon 134 Thu 16515 Mon 15 Thu 46 Thu 74 Sun 105 Tue 135 Fri 166

    16 Tue 16 Fri 47 Fri 75 Mon 106 Wed 136 Sat 16717 Wed 17 Sat 48 Sat 76 Tue 107 Thu 137 Sun 16818 Thu 18 Sun 49 Sun 77 Wed 108 Fri 138 Mon 16919 Fri 19 Mon 50 Mon 78 Thu 109 Sat 139 Tue 17020 Sat 20 Tue 51 Tue 79 Fri 110 Sun 140 Wed 171

    21 Sun 21 Wed 52 Wed 80 Sat 111 Mon 141 Thu 17222 Mon 22 Thu 53 Thu 81 Sun 112 Tue 142 Fri 17323 Tue 23 Fri 54 Fri 82 Mon 113 Wed 143 Sat 17424 Wed 24 Sat 55 Sat 83 Tue 114 Thu 144 Sun 17525 Thu 25 Sun 56 Sun 84 Wed 115 Fri 145 Mon 176

    26 Fri 26 Mon 57 Mon 85 Thu 116 Sat 146 Tue 17727 Sat 27 Tue 58 Tue 86 Fri 117 Sun 147 Wed 17828 Sun 28 Wed 59 Wed 87 Sat 118 Mon 148 Thu 17929 Mon 29 Thu Thu 88 Sun 119 Tue 149 Fri 18030 Tue 30 Fri 89 Mon 120 Wed 150 Sat 181

    31 Wed 31 Sat 90 Thu 151

  • Day of Week & Day of Year

    2018 7 8 9 10 11 12July August September October November December

    Day Day Day Day Day Day Day Day Day Day Day Day Dayof of of of of of of of of of of of ofMonth Week Year Week Year Week Year Week Year Week Year Week Year1 Sun 182 Wed 213 Sat 244 Mon 274 Thu 305 Sat 3352 Mon 183 Thu 214 Sun 245 Tue 275 Fri 306 Sun 3363 Tue 184 Fri 215 Mon 246 Wed 276 Sat 307 Mon 3374 Wed 185 Sat 216 Tue 247 Thu 277 Sun 308 Tue 3385 Thu 186 Sun 217 Wed 248 Fri 278 Mon 309 Wed 339

    6 Fri 187 Mon 218 Thu 249 Sat 279 Tue 310 Thu 3407 Sat 188 Tue 219 Fri 250 Sun 280 Wed 311 Fri 3418 Sun 189 Wed 220 Sat 251 Mon 281 Thu 312 Sat 3429 Mon 190 Thu 221 Sun 252 Tue 282 Fri 313 Sun 34310 Tue 191 Fri 222 Mon 253 Wed 283 Sat 314 Mon 344

    11 Wed 192 Sat 223 Tue 254 Thu 284 Sun 315 Tue 34512 Thu 193 Sun 224 Wed 255 Fri 285 Mon 316 Wed 34613 Fri 194 Mon 225 Thu 256 Sat 286 Tue 317 Thu 34714 Sat 195 Tue 226 Fri 257 Sun 287 Wed 318 Fri 34815 Sun 196 Wed 227 Sat 258 Mon 288 Thu 319 Sat 349

    16 Mon 197 Thu 228 Sun 259 Tue 289 Fri 320 Sun 35017 Tue 198 Fri 229 Mon 260 Wed 290 Sat 321 Mon 35118 Wed 199 Sat 230 Tue 261 Thu 291 Sun 322 Tue 35219 Thu 200 Sun 231 Wed 262 Fri 292 Mon 323 Wed 35320 Fri 201 Mon 232 Thu 263 Sat 293 Tue 324 Thu 354

    21 Sat 202 Tue 233 Fri 264 Sun 294 Wed 325 Fri 35522 Sun 203 Wed 234 Sat 265 Mon 295 Thu 326 Sat 35623 Mon 204 Thu 235 Sun 266 Tue 296 Fri 327 Sun 35724 Tue 205 Fri 236 Mon 267 Wed 297 Sat 328 Mon 35825 Wed 206 Sat 237 Tue 268 Thu 298 Sun 329 Tue 359

    26 Thu 207 Sun 238 Wed 269 Fri 299 Mon 330 Wed 36027 Fri 208 Mon 239 Thu 270 Sat 300 Tue 331 Thu 36128 Sat 209 Tue 240 Fri 271 Sun 301 Wed 332 Fri 36229 Sun 210 Wed 241 Sat 272 Mon 302 Thu 333 Sat 36330 Mon 211 Thu 242 Sun 273 Tue 303 Fri 334 Sun 364

    31 Tue 212 Fri 243 Wed 304 Mon 365

  • 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)

    Bo wditch The American Practical Navigator

    https://TheNauticalAlmanac.com/Bowditch- American Practical Navigator.html

    Organized in a convenient and useful manner. Download the Chapters 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/Bowditch-%20American%20Practical%20Navigator.htmlhttps://TheNauticalAlmanac.com/Pub.%20No.%20229.htmlhttps://TheNauticalAlmanac.com/Pub.%20No.%20249.htmlhttps://TheNauticalAlmanac.com/TerrestrialAlmanac.htmlhttps://TheNauticalAlmanac.com/Bowditch-%20American%20Practical%20Navigator.htmlhttps://thenauticalalmanac.com/Bowditch-%20American%20Practical%20Navigator.html

  • Celestial Navigation useful Formulas

    About Calculators

    The Casio fx-300ES Plus is an inexpensive calculator at about 11 USD. It features natural input soyou enter a formula just as it would be written on paper. Entering degrees, minutes and seconds isvery simple. The Casio fx-300ES Plus has 9 memory locations and you can review many of theprevious entries you make using a special key on the calculator.

    Determine Hc using a calculator

    The formula

    Hc = asin[sin(Declination)*sin(Latitude) + cos(Latitude)*cos(Declination)*cos(LHA)]

    As it would be entered into the Casio calculator

    Sin-1(Sin(Ap Latitude) x Sin(Declination) + Cos(Ap Latitude) x Cos(Declination) x Cos(LHA)

    Declination is the declination of the Celestial body you're observing. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

    Latitude is the Latitude where you are, think you are or where you would like to determine Hc for.Typically, you'll be using an Assumed position Latitude or Ap Latitude as it's called.

    In Western Longitudes

    LHA is the Local Hour Angle which is derived from subtracting your whole number value ofLongitude (Assumed or otherwise) from the whole number value of GHA (Greenwich Hour Angle).

    In Eastern Longitudes

    LHA, in Eastern Longitudes, is determined by rounding up the GHA fgure to the next highestwhole degree fgure then adding the DR. Longitude to GHA to obtain LHA. Only add the wholedegree DR. Longitude fgure to the rounded up whole degree GHA fgure. If the resulting LHAfgure is greater than 6r0n then subtract 6r0n from the fgure 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 & 6don't cover any declination greater than 29 degrees so you'd have to use Pub. No. 229 which isextremely large.

  • Celestial Navigation

    Determine Z

    Z = acos[(sin(Declination) sin(Ap Latitude) x sin(Hc)) (cos(Ap Latitude) x cos(Hc))]

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

    Cos-1((Sin(Declination) Sin(AP Latitude) x Sin(Hc)) (Cos(AP Latitude) x Cos(Hc)

    If the heavenly body's declination is Contrary name to the Ap Latitude enter a negative sign before it.

    To obtain Zn see the rules below for Northern and Southern latitudes.

    Determine Z independent of Hc

    L is latitude and d is declination. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

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

    Z = tan-1 ((sin (LHA) (cos(AP latitude) x tan(declination) (sin(AP latitude) x cos(LHA))

    The sign convention used in the calculation of this azimuth formula is as follows: from Bowditch Chapter 22 CALCULATIONS AND CONVERSIONS, page 331

    1) If latitude and declination are of contrary name, declination is treated as a negative quantity;2) If the local hour angle is greater than 180n, it is treated as a negative quantity. If the azimuth angle as calculated is negative, add 180n to obtain the desired value.

    To obtain Zn apply the following rules In Northern Latitudes LHA greater than 180n....Zn=Z LHA less than 180n...........Zn=6r0n Z

    In Southern Latitudes LHA greater than 180n....Zn= 180n Z LHA less than 180n...........Zn= 180n + Z

    Determine Refraction 0n.9r Tan of (Ha)

    Determine Dip using feet 0n.97 x (Square Root of He (Height of Eye) in feet)

    Determine Dip using meters 1.7r 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= (90n Ho) + declination

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

    Latitude= Declination (90n Ho)

    3- Latitude and declination Contrary name:

    Latitude= (90no Ho) Declination

    To get AP longitude (needed for plotting the LOP)

    In Western longitudes

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

    In Eastern longitudes

    In Eastern longitudes the Ap is determined as follows;

    DR longitude + (0nr0n' minus GHA minutes of arc)

    Example- E 075 + (060' 0 02')= 75 58' Ap longitude

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

    Formula Sheet added to NA.odt

  • Explanation of The Nautical Almanac Daily Pages

    1 Date based on GMT/UT

    2 Time based on GMT/UT (this is just integral hour only)

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

    4

    GHA v correction and Declination d correction. The amount to correct v and d for is determined by theminutes and seconds of time of the planet observation and is found in the Increments and Correctionspages of The Nautical Almanac. The Increments and Corrections pages are also known as The YellowPages as that's the color of the paper in the USNO published Nautical Almanac.

    4am- is the magnitude or brightness of the planet. A bright planet will have a minus sign beside the figure. Afainter planet will have no sign beside its magnitude figure.

    5Stars- SHA, Sidereal Hour Angle, and Declination. 59 stars are listed. Typically, only 57 stars are used fornavigational purposes in both Northern and Southern Hemispheres.

    6 Mer. pass- planet meridian passage time at the Prime Meridian- Greenwich- 0. Time figure is GMT/UT.

    7SHA- planet SHA at the time of meridian passage at the Prime Meridian- Greenwich- 0. Planet SHA iscalculated by subtracting planet GHA from Aries GHA. Time figure is GMT/UT.

    8 Horizontal parallax- for Venus and Mars.

    9 Date based on GMT/UT

    10 Time based on GMT/UT (this is just integral hour only)

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

    12d- the amount the declination of the Sun changes per hour. If there's a minus sign beside the declination figure in the Dec column then the Sun is in the Southern hemisphere.

    13

    The Moon's GHA v correction. The amount to correct the Moon's GHA using v is determined by theminutes and seconds of time of the Moon's observation and is found in the Increments and Correctionspages of The Nautical Almanac. The Increments and Corrections pages are also known as The YellowPages as that's the color of the paper in the USNO published Nautical Almanac.

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

    15

    The Moon's declination d correction. It's the amount of declination the Moon changes per hour. Howeverthe amount to correct the Moon's declination using d is determined by the minutes and seconds of time ofthe Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. Thed correction is algebraically added.

    An easy way to determine whether to add or subtract the d correction found in the Increments andCorrections pages is by examining the Moon's declination trend in The Nautical Almanac. If the declinationis increasing (regardless of its sign + or -) from the integral hour of the observation you made then add thed increment and increase the value of the declination. If the declination is decreasing (regardless of itssign + or -) from the integral hour of the observation you made then subtract the d increment anddecrease the value of the declination. Make sure to put the sign back on the corrected declination soyou know which hemisphere the Moon's in.

    The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paperin the USNO published Nautical Almanac.

    16HP- the angle between two lines, one from the center of the Moon to the center of the Earth, the otherfrom the center of the Moon to the edge of the Earth. This angle is about 56', but it changes slightly fromday to day as the distance to the Moon changes along its elliptical path around the Earth. Source- starpath.com

    17 Sun- Eqn. of Time- Equation of Time is the difference between GMT/UT and LAN at Greenwich. Thefigures listed are for GMT/UT at 00h and 12h. If you look at Mer. Pass just to the right of the Eqn. of Timeyou'll find, approximately, when the Sun crosses The Prime Meridian (at Greenwich). The figures in the 12h

    column indicate, approximately, how many minutes and seconds are subtracted, or added, to 12 todetermine when Local Apparent Noon is at The Prime Meridian. You can calculate, approximately, whenLAN is at your Longitude by adding, or subtracting the amount of time difference between you and

  • Greenwich and the Equation of Time.

    17continued

    Example- May 30, 2016. Mer. Pass is at UT 11:57. 12h is 02:25. This means subtract 2 minutes and 25seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075 meridian passagewould occur at about- 12 hours + 5 hours MINUS 2 minutes and 25 seconds, or UT 16:57:35.

    18Sun- Mer. Pass just to the right of the Eqn. of Time is the approximate GMT/UT when the Sun crosses ThePrime Meridian (at Greenwich) for that specific date.

    19

    Moon- Mer. Pass- is the approximate GMT/UT when the Moon crosses The Prime Meridian (at Greenwich)or The International Date Line for that specific date. Upper means the GMT/UT when the Moon crossesThe Prime Meridian (Greenwich) and Lower means the GMT/UT when the Moon crosses The InternationalDate Line (180).

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

    20continued

    Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about of the Moon is illuminated.

    21*see note at

    bottom

    (morning) Twilight- Naut.- the approximate GMT/UT when morning Nautical Twilight begins. Nauticaltwilight is the time when the center of the sun is 12 below the horizon and the horizon is visible enoughto be used for marine sextant observations. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    (morning) Twilight- Civil- the approximate GMT/UT of morning civil twilight starts when the geometriccenter of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    Sunrise- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

    21*see note at

    bottom

    (evening) Twilight- Naut.- the approximate GMT/UT of when evening Nautical Twilight ends. Nauticaltwilight is the time when the center of the sun is 12 below the horizon and the horizon is no longer visibleenough to be used for sextant observations. First locate your approximate Latitude in the Lat. columnand then follow across horizontally to the right to find the time.

    21*see note at

    bottom

    (evening) Twilight- Civil- the approximate GMT/UT of evening civil twilight that ends when the geometriccenter of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    Sunset- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

    22*see note at

    bottom

    Moonrise- the approximate GMT/UT when the Moon is about 0 05' to 0 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

    The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

    22*see note at

    bottom

    Moonset- the approximate GMT/UT when the Moon is about 0 05' to 0 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

    The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

    * Note- Time of Sunrise, Sunset, Moonrise, Moonset and twilight is based on GMT/UT of the event at 0 (Greenwich). To determine the GMT/UT time at your Longitude add or subtract the time difference between your AP Longitude and Greenwich.

    Explanation of The Nautical Almanac Daily Pages.odt

  • 2018 Moon Phases

    Date and Time- GMT/Universal Time

    New Moon First Quarter Full Moon Last Quarter

    -- -- January 02

    02:24January 08

    22:25

    January 17 02:17

    January 2422:20

    January 3113:27

    February 0715:54

    February 1521:05

    February 2308:09

    March 02 00:51

    March 0911:20

    March 17 13:12

    March 24 15:35

    March 31 12:37

    April 0807:17

    April 16 01:57

    April 22 21:46

    April 30 00:58

    May 0802:09

    May 15 11:48

    May 22 03:49

    May 29 14:19

    June 0618:32

    June 13 19:43

    June 20 10:51

    June 2804:53

    July 0607:51

    July 13 02:48

    July 19 19:52

    July 27 20:20

    August 0418:18

    August 1109:58

    August 18 07:48

    August 2611:56

    September 0302:37

    September 0918:01

    September 1623:15

    September 2502:52

    October 0209:45

    October 0903:47

    October 16 18:02

    October 24 16:45

    October 3116:40

    November 0716:02

    November 1514:54

    November 2305:39

    November 3000:19

    December 0707:20

    December 1511:49

    December 2217:49

    December 2909:34

    Add or subtract your time diference from Greenwich to determine local time and date of Moon phase.

    Moon Phases.odt

  • 2018

    Jan

    Feb

    Mar

    Apr

    May

    Jun

    Jul

    Aug

    Sep

    Oct

    Nov

    Dec

    1

    1

    Mo

    Th

    Th

    Su

    Tu

    Fr

    Su

    We

    Sa

    Mo

    Th

    Sa

    3

    3

    We

    Sa

    Sa

    Tu

    Th

    Su

    Tu

    Fr

    Mo

    We

    Sa

    Mo

    5

    5

    Fr

    Mo

    Mo

    Th

    Sa

    Tu

    Th

    Su

    We

    Fr

    Mo

    We

    7

    7

    Su

    We

    We

    Sa

    Mo

    Th

    Sa

    Tu

    Fr

    Su

    We

    Fr

    9

    9

    Tu

    Fr

    Fr

    Mo

    We

    Sa

    Mo

    Th

    Su

    Tu

    Fr

    Su

    11

    11

    Th

    Su

    Su

    We

    Fr

    Mo

    We

    Sa

    Tu

    Th

    Su

    Tu

    13

    13

    Sa

    Tu

    Tu

    Fr

    Su

    We

    Fr

    Mo

    Th

    Sa

    Tu

    Th

    15

    15

    Mo

    Th

    Th

    Su

    Tu

    Fr

    Su

    We

    Sa

    Mo

    Th

    Sa

    17

    17

    We

    Sa

    Sa

    Tu

    Th

    Su

    Tu

    Fr

    Mo

    We

    Sa

    Mo

    19

    19

    Fr

    Mo

    Mo

    Th

    Sa

    Tu

    Th

    Su

    We

    Fr

    Mo

    We

    21

    21

    Su

    We

    We

    Sa

    Mo

    Th

    Sa

    Tu

    Fr

    Su

    We

    Fr

    23

    23

    Tu

    Fr

    Fr

    Mo

    We

    Sa

    Mo

    Th

    Su

    Tu

    Fr

    Su

    25

    25

    Th

    Su

    Su

    We

    Fr

    Mo

    We

    Sa

    Tu

    Th

    Su

    Tu

    27

    27

    Sa

    Tu

    Tu

    Fr

    Su

    We

    Fr

    Mo

    Th

    Sa

    Tu

    Th

    29

    29

    Mo

    Th

    Su

    Tu

    Fr

    Su

    We

    Sa

    Mo

    Th

    Sa

    31

    31

    We

    Sa

    Th

    Tu

    Fr

    We

    Mo

  • Conversion of Arc to Time

    0 - 59 60 - 119 120 - 179 180 - 239 240 - 299 300 - 360 0 - 59 0 - 59 h m h m h m h m h m h m ' m s s

    0 0 00 60 4 00 120 8 00 180 12 00 240 16 00 300 20 00 0 0 00 0 0.001 0 04 61 4 04 121 8 04 181 12 04 241 16 04 301 20 04 1 0 04 1 0.072 0 08 62 4 08 122 8 08 182 12 08 242 16 08 302 20 08 2 0 08 2 0.133 0 12 63 4 12 123 8 12 183 12 12 243 16 12 303 20 12 3 0 12 3 0.204 0 16 64 4 16 124 8 16 184 12 16 244 16 16 304 20 16 4 0 16 4 0.27

    5 0 20 65 4 20 125 8 20 185 12 20 245 16 20 305 20 20 5 0 20 5 0.336 0 24 66 4 24 126 8 24 186 12 24 246 16 24 306 20 24 6 0 24 6 0.407 0 28 67 4 28 127 8 28 187 12 28 247 16 28 307 20 28 7 0 28 7 0.478 0 32 68 4 32 128 8 32 188 12 32 248 16 32 308 20 32 8 0 32 8 0.539 0 36 69 4 36 129 8 36 189 12 36 249 16 36 309 20 36 9 0 36 9 0.60

    10 0 40 70 4 40 130 8 40 190 12 40 250 16 40 310 20 40 10 0 40 10 0.6711 0 44 71 4 44 131 8 44 191 12 44 251 16 44 311 20 44 11 0 44 11 0.7312 0 48 72 4 48 132 8 48 192 12 48 252 16 48 312 20 48 12 0 48 12 0.8013 0 52 73 4 52 133 8 52 193 12 52 253 16 52 313 20 52 13 0 52 13 0.8714 0 56 74 4 56 134 8 56 194 12 56 254 16 56 314 20 56 14 0 56 14 0.93

    15 1 00 75 5 00 135 9 00 195 13 00 255 17 00 315 21 00 15 1 00 15 1.0016 1 04 76 5 04 136 9 04 196 13 04 256 17 04 316 21 04 16 1 04 16 1.0717 1 08 77 5 08 137 9 08 197 13 08 257 17 08 317 21 08 17 1 08 17 1.1318 1 12 78 5 12 138 9 12 198 13 12 258 17 12 318 21 12 18 1 12 18 1.2019 1 16 79 5 16 139 9 16 199 13 16 259 17 16 319 21 16 19 1 16 19 1.27

    20 1 20 80 5 20 140 9 20 200 13 20 260 17 20 320 21 20 20 1 20 20 1.3321 1 24 81 5 24 141 9 24 201 13 24 261 17 24 321 21 24 21 1 24 21 1.4022 1 28 82 5 28 142 9 28 202 13 28 262 17 28 322 21 28 22 1 28 22 1.4723 1 32 83 5 32 143 9 32 203 13 32 263 17 32 323 21 32 23 1 32 23 1.5324 1 36 84 5 36 144 9 36 204 13 36 264 17 36 324 21 36 24 1 36 24 1.60

    25 1 40 85 5 40 145 9 40 205 13 40 265 17 40 325 21 40 25 1 40 25 1.6726 1 44 86 5 44 146 9 44 206 13 44 266 17 44 326 21 44 26 1 44 26 1.7327 1 48 87 5 48 147 9 48 207 13 48 267 17 48 327 21 48 27 1 48 27 1.8028 1 52 88 5 52 148 9 52 208 13 52 268 17 52 328 21 52 28 1 52 28 1.8729 1 56 89 5 56 149 9 56 209 13 56 269 17 56 329 21 56 29 1 56 29 1.93

    30 2 00 90 6 00 150 10 00 210 14 00 270 18 00 330 22 00 30 2 00 30 2.0031 2 04 91 6 04 151 10 04 211 14 04 271 18 04 331 22 04 31 2 04 31 2.0732 2 08 92 6 08 152 10 08 212 14 08 272 18 08 332 22 08 32 2 08 32 2.1333 2 12 93 6 12 153 10 12 213 14 12 273 18 12 333 22 12 33 2 12 33 2.2034 2 16 94 6 16 154 10 16 214 14 16 274 18 16 334 22 16 34 2 16 34 2.27

    35 2 20 95 6 20 155 10 20 215 14 20 275 18 20 335 22 20 35 2 20 35 2.3336 2 24 96 6 24 156 10 24 216 14 24 276 18 24 336 22 24 36 2 24 36 2.4037 2 28 97 6 28 157 10 28 217 14 28 277 18 28 337 22 28 37 2 28 37 2.4738 2 32 98 6 32 158 10 32 218 14 32 278 18 32 338 22 32 38 2 32 38 2.5339 2 36 99 6 36 159 10 36 219 14 36 279 18 36 339 22 36 39 2 36 39 2.60

    40 2 40 100 6 40 160 10 40 220 14 40 280 18 40 340 22 40 40 2 40 40 2.6741 2 44 101 6 44 161 10 44 221 14 44 281 18 44 341 22 44 41 2 44 41 2.7342 2 48 102 6 48 162 10 48 222 14 48 282 18 48 342 22 48 42 2 48 42 2.8043 2 52 103 6 52 163 10 52 223 14 52 283 18 52 343 22 52 43 2 52 43 2.8744 2 56 104 6 56 164 10 56 224 14 56 284 18 56 344 22 56 44 2 56 44 2.93

    45 3 00 105 7 00 165 11 00 225 15 00 285 19 00 345 23 00 45 3 00 45 3.0046 3 04 106 7 04 166 11 04 226 15 04 286 19 04 346 23 04 46 3 04 46 3.0747 3 08 107 7 08 167 11 08 227 15 08 287 19 08 347 23 08 47 3 08 47 3.1348 3 12 108 7 12 168 11 12 228 15 12 288 19 12 348 23 12 48 3 12 48 3.2049 3 16 109 7 16 169 11 16 229 15 16 289 19 16 349 23 16 49 3 16 49 3.27

    50 3 20 110 7 20 170 11 20 230 15 20 290 19 20 350 23 20 50 3 20 50 3.3351 3 24 111 7 24 171 11 24 231 15 24 291 19 24 351 23 24 51 3 24 51 3.4052 3 28 112 7 28 172 11 28 232 15 28 292 19 28 352 23 28 52 3 28 52 3.4753 3 32 113 7 32 173 11 32 233 15 32 293 19 32 353 23 32 53 3 32 53 3.5354 3 36 114 7 36 174 11 36 234 15 36 294 19 36 354 23 36 54 3 36 54 3.60

    55 3 40 115 7 40 175 11 40 235 15 40 295 19 40 355 23 40 55 3 40 55 3.6756 3 44 116 7 44 176 11 44 236 15 44 296 19 44 356 23 44 56 3 44 56 3.7357 3 48 117 7 48 177 11 48 237 15 48 297 19 48 357 23 48 57 3 48 57 3.8058 3 52 118 7 52 178 11 52 238 15 52 298 19 52 358 23 52 58 3 52 58 3.8759 3 56 119 7 56 179 11 56 239 15 56 299 19 56 359 23 56 59 3 56 59 3.93

    60 4 00 120 8 00 180 12 00 240 16 00 300 20 00 360 24 00 60 4 00 60 4.00

    TheNauticalAlmanac.com

    h= hours of time m= minutes of time s = seconds of time ' = minutes of arc = seconds of arc

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

    Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10035.8 18117.1 -2337.9 23836.7 -1513.7 23549.0 -1553.1 18905.5 -2231.91 11538.2 19616.2 -2337.7 25337.6 -1514.2 25051.0 -1553.2 20407.6 -2231.92 13040.7 21115.2 -2337.6 26838.5 -1514.7 26553.0 -1553.3 21909.8 -2231.93 14543.2 22614.2 -2337.5 28339.5 -1515.1 28055.1 -1553.4 23411.9 -2231.94 16045.6 24113.2 -2337.4 29840.4 -1515.6 29557.1 -1553.5 24914.1 -2231.95 17548.1 25612.3 -2337.3 31341.3 -1516.1 31059.2 -1553.6 26416.2 -2231.96 19050.6 27111.3 -2337.2 32842.2 -1516.6 32601.2 -1553.8 27918.4 -2231.97 20553.0 28610.3 -2337.1 34343.2 -1517.0 34103.3 -1553.9 29420.5 -2231.98 22055.5 30109.4 -2336.9 35844.1 -1517.5 35605.3 -1554.0 30922.6 -2231.99 23558.0 31608.4 -2336.8 1345.0 -1518.0 1107.3 -1554.1 32424.8 -2231.910 25100.4 33107.4 -2336.7 2845.9 -1518.5 2609.4 -1554.2 33926.9 -2231.911 26602.9 34606.5 -2336.6 4346.9 -1518.9 4111.4 -1554.3 35429.1 -2231.812 28105.3 105.5 -2336.5 5847.8 -1519.4 5613.5 -1554.4 931.2 -2231.813 29607.8 1604.5 -2336.3 7348.7 -1519.9 7115.5 -1554.6 2433.4 -2231.814 31110.3 3103.6 -2336.2 8849.6 -1520.4 8617.6 -1554.7 3935.5 -2231.815 32612.7 4602.6 -2336.1 10350.6 -1520.8 10119.6 -1554.8 5437.7 -2231.816 34115.2 6101.6 -2336.0 11851.5 -1521.3 11621.7 -1554.9 6939.8 -2231.817 35617.7 7600.7 -2335.8 13352.4 -1521.8 13123.7 -1555.0 8442.0 -2231.818 1120.1 9059.7 -2335.7 14853.3 -1522.3 14625.7 -1555.1 9944.1 -2231.819 2622.6 10558.7 -2335.6 16354.3 -1522.7 16127.8 -1555.2 11446.3 -2231.820 4125.1 12057.8 -2335.4 17855.2 -1523.2 17629.8 -1555.4 12948.4 -2231.821 5627.5 13556.8 -2335.3 19356.1 -1523.7 19131.9 -1555.5 14450.6 -2231.822 7130.0 15055.8 -2335.2 20857.0 -1524.1 20633.9 -1555.6 15952.7 -2231.823 8632.5 16554.9 -2335.0 22357.9 -1524.6 22136.0 -1555.7 17454.9 -2231.8Mer.pass.:17:14 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

    Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10134.9 18053.9 -2334.9 23858.9 -1525.1 23638.0 -1555.8 18957.0 -2231.81 11637.4 19552.9 -2334.7 25359.8 -1525.6 25140.1 -1555.9 20459.2 -2231.82 13139.8 21052.0 -2334.6 26900.7 -1526.0 26642.1 -1556.0 22001.3 -2231.83 14642.3 22551.0 -2334.5 28401.6 -1526.5 28144.2 -1556.2 23503.5 -2231.84 16144.8 24050.0 -2334.3 29902.6 -1527.0 29646.2 -1556.3 25005.6 -2231.85 17647.2 25549.1 -2334.2 31403.5 -1527.4 31148.3 -1556.4 26507.7 -2231.86 19149.7 27048.1 -2334.0 32904.4 -1527.9 32650.3 -1556.5 28009.9 -2231.87 20652.2 28547.1 -2333.9 34405.3 -1528.4 34152.3 -1556.6 29512.0 -2231.88 22154.6 30046.2 -2333.7 35906.3 -1528.9 35654.4 -1556.7 31014.2 -2231.89 23657.1 31545.2 -2333.6 1407.2 -1529.3 1156.4 -1556.8 32516.3 -2231.810 25159.6 33044.2 -2333.4 2908.1 -1529.8 2658.5 -1556.9 34018.5 -2231.811 26702.0 34543.3 -2333.3 4409.0 -1530.3 4200.5 -1557.1 35520.6 -2231.812 28204.5 042.3 -2333.1 5909.9 -1530.7 5702.6 -1557.2 1022.8 -2231.813 29707.0 1541.4 -2333.0 7410.9 -1531.2 7204.6 -1557.3 2524.9 -2231.814 31209.4 3040.4 -2332.8 8911.8 -1531.7 8706.7 -1557.4 4027.1 -2231.815 32711.9 4539.4 -2332.7 10412.7 -1532.1 10208.7 -1557.5 5529.2 -2231.816 34214.3 6038.5 -2332.5 11913.6 -1532.6 11710.8 -1557.6 7031.4 -2231.817 35716.8 7537.5 -2332.3 13414.6 -1533.1 13212.8 -1557.7 8533.5 -2231.818 1219.3 9036.5 -2332.2 14915.5 -1533.6 14714.9 -1557.9 10035.7 -2231.819 2721.7 10535.6 -2332.0 16416.4 -1534.0 16216.9 -1558.0 11537.8 -2231.820 4224.2 12034.6 -2331.9 17917.3 -1534.5 17719.0 -1558.1 13040.0 -2231.821 5726.7 13533.6 -2331.7 19418.2 -1535.0 19221.0 -1558.2 14542.1 -2231.822 7229.1 15032.7 -2331.5 20919.2 -1535.4 20723.1 -1558.3 16044.3 -2231.823 8731.6 16531.7 -2331.4 22420.1 -1535.9 22225.1 -1558.4 17546.4 -2231.8Mer.pass.:17:10 v-1.0 d0.1 m-3.8 v0.9 d-0.5 m1.5 v2.0 d-0.1 m-1.7 v2.1 d0.0 m0.5

    Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10234.1 18030.8 -2331.2 23921.0 -1536.4 23727.2 -1558.5 19048.6 -2231.81 11736.5 19529.8 -2331.0 25421.9 -1536.8 25229.2 -1558.6 20550.7 -2231.82 13239.0 21028.8 -2330.8 26922.8 -1537.3 26731.3 -1558.8 22052.9 -2231.83 14741.5 22527.9 -2330.7 28423.8 -1537.8 28233.3 -1558.9 23555.0 -2231.84 16243.9 24026.9 -2330.5 29924.7 -1538.2 29735.4 -1559.0 25057.2 -2231.85 17746.4 25525.9 -2330.3 31425.6 -1538.7 31237.4 -1559.1 26559.3 -2231.86 19248.8 27025.0 -2330.1 32926.5 -1539.2 32739.5 -1559.2 28101.5 -2231.87 20751.3 28524.0 -2330.0 34427.4 -1539.6 34241.5 -1559.3 29603.6 -2231.88 22253.8 30023.1 -2329.8 35928.4 -1540.1 35743.6 -1559.4 31105.7 -2231.89 23756.2 31522.1 -2329.6 1429.3 -1540.6 1245.6 -1559.5 32607.9 -2231.810 25258.7 33021.1 -2329.4 2930.2 -1541.0 2747.7 -1559.6 34110.0 -2231.811 26801.2 34520.2 -2329.2 4431.1 -1541.5 4249.7 -1559.8 35612.2 -2231.812 28303.6 019.2 -2329.1 5932.0 -1542.0 5751.8 -1559.9 1114.3 -2231.813 29806.1 1518.3 -2328.9 7433.0 -1542.4 7253.8 -1560.0 2616.5 -2231.814 31308.6 3017.3 -2328.7 8933.9 -1542.9 8755.9 -1600.1 4118.6 -2231.815 32811.0 4516.3 -2328.5 10434.8 -1543.3 10257.9 -1600.2 5620.8 -2231.816 34313.5 6015.4 -2328.3 11935.7 -1543.8 11760.0 -1600.3 7122.9 -2231.817 35816.0 7514.4 -2328.1 13436.6 -1544.3 13302.0 -1600.4 8625.1 -2231.818 1318.4 9013.5 -2327.9 14937.6 -1544.7 14804.1 -1600.5 10127.2 -2231.819 2820.9 10512.5 -2327.7 16438.5 -1545.2 16306.2 -1600.6 11629.4 -2231.820 4323.3 12011.5 -2327.5 17939.4 -1545.7 17808.2 -1600.8 13131.5 -2231.821 5825.8 13510.6 -2327.4 19440.3 -1546.1 19310.3 -1600.9 14633.7 -2231.822 7328.3 15009.6 -2327.2 20941.2 -1546.6 20812.3 -1601.0 16135.8 -2231.823 8830.7 16508.7 -2327.0 22442.2 -1547.1 22314.4 -1601.1 17638.0 -2231.8Mer.pass.:17:06 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

    StarsSHA Dec

    Alpheratz 35740.3 2911.5Ankaa 35312.7 -4212.8

    Schedar 34936.9 5638.3Diphda 34852.7 -1753.5

    Achernar 33524.4 -5709.2Hamal 32757.2 2332.8Polaris 31606.7 8920.6Akamar 31515.8 -4014.3Menkar 31411.6 409.4Mirfak 30835.5 4955.5

    Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

    Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

    Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.5

    Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

    Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.8 -4330.3

    Miaplacidus 22138.2 -6947.3Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

    Denebola 18230.4 1428.3Gienah 17549.0 -1738.3Acrux 17305.7 -6311.5

    Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.1 -1115.1Alcaid 15256.7 4913.3Hadar 14843.7 -6027.1

    Menkent 14804.1 -3627.2Arcturus 14552.9 1905.7

    Rigil Kent. 13947.8 -6054.1Zubenelg. 13702.2 -1606.7Kochab 13720.9 7404.8

    Alphecca 12608.7 2639.3Antares 11222.8 -2628.0

    Atria 10722.3 -6903.2Sabik 10209.3 -1544.6

    Shaula 9618.1 -3706.7Rasalhague 9604.0 1233.0

    Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

    Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

    Peacock 5315.0 -5640.6Deneb 4929.8 4520.9

    Enif 3344.4 957.5Alnair 2740.3 -4652.6

    Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.2

    2018/1/1 SHA Mer.passVenus 8041.3 11:56Mars 13800.9 08:05

    Jupiter 13513.2 08:16Saturn 8829.7 11:22

    2018/1/2 SHA Mer.passVenus 7919.0 11:57Mars 13724.0 08:04

    Jupiter 13503.1 08:12Saturn 8822.1 11:19

    2018/1/3 SHA Mer.passVenus 7756.7 11:59Mars 13646.9 08:02

    Jupiter 13453.1 08:09Saturn 8814.5 11:15

    Horizontal paralaxVenus: 0.1Mars: 0.1

    2

  • 2018 January 01 to Jan. 03

    h Sun MoonMon GHA Dec GHA Dec d HP0 17910.0 -2301.1 1605.7 3.3 1919.2 3.6 61.41 19409.7 -2300.9 3027.9 3.2 1922.7 3.5 61.42 20909.5 -2300.7 4450.1 3.2 1926.2 3.4 61.43 22409.2 -2300.5 5912.2 3.1 1929.5 3.2 61.44 23908.9 -2300.3 7334.3 3.1 1932.6 3.1 61.45 25408.6 -2300.1 8756.4 3.0 1935.6 2.9 61.46 26908.3 -2259.9 10218.4 3.0 1938.4 2.8 61.47 28408.0 -2259.7 11640.4 3.0 1941.1 2.6 61.48 29907.7 -2259.5 13102.3 2.9 1943.6 2.5 61.49 31407.4 -2259.3 14524.2 2.9 1946.0 2.3 61.410 32907.1 -2259.1 15946.1 2.9 1948.2 2.2 61.511 34406.8 -2258.9 17408.0 2.8 1950.3 2.0 61.512 35906.5 -2258.7 18829.8 2.8 1952.3 1.9 61.513 1406.2 -2258.5 20251.6 2.8 1954.0 1.7 61.514 2905.9 -2258.3 21713.4 2.8 1955.7 1.5 61.515 4405.6 -2258.0 23135.1 2.7 1957.1 1.4 61.516 5905.3 -2257.8 24556.9 2.7 1958.4 1.2 61.517 7405.1 -2257.6 26018.6 2.7 1959.6 1.1 61.518 8904.8 -2257.4 27440.3 2.7 2000.6 0.9 61.519 10404.5 -2257.2 28902.0 2.7 2001.5 0.8 61.520 11904.2 -2257.0 30323.7 2.7 2002.2 0.6 61.521 13403.9 -2256.8 31745.4 2.7 2002.7 0.5 61.522 14903.6 -2256.5 33207.0 2.7 2003.1 0.3 61.523 16403.3 -2256.3 34628.7 2.7 2003.3 0.2 61.5

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

    Tue GHA Dec GHA Dec d HP0 17903.0 -2256.1 050.4 2.7 2003.4 -0.0 61.51 19402.7 -2255.9 1512.1 2.7 2003.3 -0.2 61.52 20902.4 -2255.7 2933.8 2.7 2003.1 -0.3 61.53 22402.1 -2255.4 4355.4 2.7 2002.7 -0.5 61.54 23901.8 -2255.2 5817.1 2.7 2002.1 -0.6 61.55 25401.6 -2255.0 7238.8 2.7 2001.4 -0.8 61.56 26901.3 -2254.8 8700.6 2.7 2000.6 -0.9 61.57 28401.0 -2254.5 10122.3 2.7 1959.5 -1.1 61.58 29900.7 -2254.3 11544.0 2.8 1958.4 -1.2 61.59 31400.4 -2254.1 13005.8 2.8 1957.1 -1.4 61.510 32900.1 -2253.9 14427.6 2.8 1955.6 -1.6 61.411 34359.8 -2253.6 15849.4 2.8 1953.9 -1.7 61.412 35859.5 -2253.4 17311.2 2.9 1952.2 -1.9 61.413 1359.2 -2253.2 18733.1 2.9 1950.2 -2.0 61.414 2859.0 -2252.9 20155.0 2.9 1948.1 -2.2 61.415 4358.7 -2252.7 21616.9 2.9 1945.9 -2.3 61.416 5858.4 -2252.5 23038.9 3.0 1943.5 -2.5 61.417 7358.1 -2252.2 24500.9 3.0 1941.0 -2.6 61.418 8857.8 -2252.0 25922.9 3.1 1938.3 -2.8 61.419 10357.5 -2251.8 27345.0 3.1 1935.4 -2.9 61.420 11857.2 -2251.5 28807.1 3.1 1932.5 -3.1 61.321 13356.9 -2251.3 30229.3 3.2 1929.3 -3.2 61.322 14856.6 -2251.1 31651.5 3.2 1926.0 -3.4 61.323 16356.4 -2250.8 33113.8 3.3 1922.6 -3.5 61.3

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

    Wed GHA Dec GHA Dec d HP0 17856.1 -2250.6 34536.1 3.3 1919.0 -3.6 61.31 19355.8 -2250.4 35958.4 3.4 1915.3 -3.8 61.32 20855.5 -2250.1 1420.8 3.4 1911.5 -3.9 61.33 22355.2 -2249.9 2843.3 3.5 1907.5 -4.1 61.24 23854.9 -2249.6 4305.8 3.6 1903.3 -4.2 61.25 25354.6 -2249.4 5728.4 3.6 1859.0 -4.4 61.26 26854.3 -2249.1 7151.0 3.7 1854.6 -4.5 61.27 28354.1 -2248.9 8613.8 3.7 1850.1 -4.6 61.28 29853.8 -2248.7 10036.5 3.8 1845.4 -4.8 61.19 31353.5 -2248.4 11459.3 3.9 1840.5 -4.9 61.110 32853.2 -2248.2 12922.2 3.9 1835.6 -5.0 61.111 34352.9 -2247.9 14345.2 4.0 1830.5 -5.2 61.112 35852.6 -2247.7 15808.2 4.1 1825.2 -5.3 61.113 1352.3 -2247.4 17231.4 4.1 1819.9 -5.4 61.014 2852.1 -2247.2 18654.5 4.2 1814.4 -5.6 61.015 4351.8 -2246.9 20117.8 4.3 1808.8 -5.7 61.016 5851.5 -2246.7 21541.1 4.4 1803.0 -5.8 61.017 7351.2 -2246.4 23004.5 4.4 1757.1 -5.9 60.918 8850.9 -2246.2 24428.0 4.5 1751.1 -6.1 60.919 10350.6 -2245.9 25851.5 4.6 1745.0 -6.2 60.920 11850.3 -2245.7 27315.2 4.7 1738.8 -6.3 60.921 13350.1 -2245.4 28738.9 4.8 1732.4 -6.4 60.822 14849.8 -2245.1 30202.7 4.8 1725.9 -6.5 60.823 16349.5 -2244.9 31626.6 4.9 1719.3 -6.7 60.8

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

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

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

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

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

    3

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

    Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10333.2 18007.7 -2326.8 23943.1 -1547.5 23816.4 -1601.2 19140.1 -2231.81 11835.7 19506.7 -2326.6 25444.0 -1548.0 25318.5 -1601.3 20642.3 -2231.82 13338.1 21005.8 -2326.4 26944.9 -1548.4 26820.5 -1601.4 22144.4 -2231.83 14840.6 22504.8 -2326.2 28445.8 -1548.9 28322.6 -1601.5 23646.6 -2231.84 16343.1 24003.9 -2325.9 29946.8 -1549.4 29824.6 -1601.6 25148.7 -2231.85 17845.5 25502.9 -2325.7 31447.7 -1549.8 31326.7 -1601.8 26650.9 -2231.86 19348.0 27002.0 -2325.5 32948.6 -1550.3 32828.7 -1601.9 28153.0 -2231.87 20850.5 28501.0 -2325.3 34449.5 -1550.8 34330.8 -1602.0 29655.2 -2231.88 22352.9 30000.0 -2325.1 35950.4 -1551.2 35832.9 -1602.1 31157.3 -2231.89 23855.4 31459.1 -2324.9 1451.3 -1551.7 1334.9 -1602.2 32659.5 -2231.710 25357.8 32958.1 -2324.7 2952.3 -1552.1 2837.0 -1602.3 34201.6 -2231.711 26900.3 34457.2 -2324.5 4453.2 -1552.6 4339.0 -1602.4 35703.8 -2231.712 28402.8 35956.2 -2324.3 5954.1 -1553.1 5841.1 -1602.5 1205.9 -2231.713 29905.2 1455.3 -2324.1 7455.0 -1553.5 7343.1 -1602.6 2708.1 -2231.714 31407.7 2954.3 -2323.8 8955.9 -1554.0 8845.2 -1602.7 4210.2 -2231.715 32910.2 4453.3 -2323.6 10456.8 -1554.4 10347.2 -1602.9 5712.4 -2231.716 34412.6 5952.4 -2323.4 11957.8 -1554.9 11849.3 -1603.0 7214.5 -2231.717 35915.1 7451.4 -2323.2 13458.7 -1555.4 13351.4 -1603.1 8716.7 -2231.718 1417.6 8950.5 -2323.0 14959.6 -1555.8 14853.4 -1603.2 10218.8 -2231.719 2920.0 10449.5 -2322.7 16500.5 -1556.3 16355.5 -1603.3 11721.0 -2231.720 4422.5 11948.6 -2322.5 18001.4 -1556.7 17857.5 -1603.4 13223.1 -2231.721 5924.9 13447.6 -2322.3 19502.3 -1557.2 19359.6 -1603.5 14725.3 -2231.722 7427.4 14946.7 -2322.1 21003.3 -1557.7 20901.6 -1603.6 16227.4 -2231.723 8929.9 16445.7 -2321.8 22504.2 -1558.1 22403.7 -1603.7 17729.6 -2231.7Mer.pass.:17:02 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

    Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10432.3 17944.7 -2321.6 24005.1 -1558.6 23905.8 -1603.8 19231.7 -2231.71 11934.8 19443.8 -2321.4 25506.0 -1559.0 25407.8 -1604.0 20733.9 -2231.72 13437.3 20942.8 -2321.1 27006.9 -1559.5 26909.9 -1604.1 22236.0 -2231.73 14939.7 22441.9 -2320.9 28507.8 -1560.0 28411.9 -1604.2 23738.2 -2231.74 16442.2 23940.9 -2320.7 30008.8 -1600.4 29914.0 -1604.3 25240.3 -2231.75 17944.7 25440.0 -2320.4 31509.7 -1600.9 31416.1 -1604.4 26742.5 -2231.76 19447.1 26939.0 -2320.2 33010.6 -1601.3 32918.1 -1604.5 28244.6 -2231.77 20949.6 28438.1 -2320.0 34511.5 -1601.8 34420.2 -1604.6 29746.8 -2231.78 22452.1 29937.1 -2319.7 012.4 -1602.2 35922.2 -1604.7 31248.9 -2231.79 23954.5 31436.2 -2319.5 1513.3 -1602.7 1424.3 -1604.8 32751.1 -2231.710 25457.0 32935.2 -2319.2 3014.3 -1603.2 2926.3 -1604.9 34253.2 -2231.711 26959.4 34434.3 -2319.0 4515.2 -1603.6 4428.4 -1605.0 35755.4 -2231.712 28501.9 35933.3 -2318.8 6016.1 -1604.1 5930.5 -1605.1 1257.5 -2231.713 30004.4 1432.4 -2318.5 7517.0 -1604.5 7432.5 -1605.3 2759.7 -2231.714 31506.8 2931.4 -2318.3 9017.9 -1605.0 8934.6 -1605.4 4301.8 -2231.715 33009.3 4430.5 -2318.0 10518.8 -1605.4 10436.6 -1605.5 5804.0 -2231.716 34511.8 5929.5 -2317.8 12019.7 -1605.9 11938.7 -1605.6 7306.1 -2231.717 014.2 7428.6 -2317.5 13520.7 -1606.3 13440.8 -1605.7 8808.3 -2231.718 1516.7 8927.6 -2317.3 15021.6 -1606.8 14942.8 -1605.8 10310.4 -2231.719 3019.2 10426.7 -2317.0 16522.5 -1607.3 16444.9 -1605.9 11812.6 -2231.720 4521.6 11925.7 -2316.8 18023.4 -1607.7 17947.0 -1606.0 13314.7 -2231.721 6024.1 13424.8 -2316.5 19524.3 -1608.2 19449.0 -1606.1 14816.9 -2231.722 7526.6 14923.8 -2316.2 21025.2 -1608.6 20951.1 -1606.2 16319.0 -2231.723 9029.0 16422.9 -2316.0 22526.2 -1609.1 22453.1 -1606.3 17821.2 -2231.7Mer.pass.:16:59 v-1.0 d0.2 m-3.8 v0.9 d-0.5 m1.5 v2.1 d-0.1 m-1.7 v2.1 d0.0 m0.5

    Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10531.5 17921.9 -2315.7 24027.1 -1609.5 23955.2 -1606.4 19323.3 -2231.71 12033.9 19421.0 -2315.5 25528.0 -1610.0 25457.3 -1606.5 20825.5 -2231.72 13536.4 20920.0 -2315.2 27028.9 -1610.4 26959.3 -1606.7 22327.6 -2231.73 15038.9 22419.1 -2314.9 28529.8 -1610.9 28501.4 -1606.8 23829.8 -2231.74 16541.3 23918.1 -2314.7 30030.7 -1611.3 30003.5 -1606.9 25331.9 -2231.75 18043.8 25417.2 -2314.4 31531.6 -1611.8 31505.5 -1607.0 26834.1 -2231.76 19546.3 26916.2 -2314.1 33032.5 -1612.2 33007.6 -1607.1 28336.2 -2231.77 21048.7 28415.3 -2313.9 34533.5 -1612.7 34509.6 -1607.2 29838.4 -2231.78 22551.2 29914.3 -2313.6 034.4 -1613.1 011.7 -1607.3 31340.5 -2231.69 24053.7 31413.4 -2313.3 1535.3 -1613.6 1513.8 -1607.4 32842.7 -2231.610 25556.1 32912.4 -2313.1 3036.2 -1614.0 3015.8 -1607.5 34344.8 -2231.611 27058.6 34411.5 -2312.8 4537.1 -1614.5 4517.9 -1607.6 35847.0 -2231.612 28601.0 35910.5 -2312.5 6038.0 -1615.0 6020.0 -1607.7 1349.1 -2231.613 30103.5 1409.6 -2312.2 7538.9 -1615.4 7522.0 -1607.8 2851.3 -2231.614 31606.0 2908.6 -2312.0 9039.9 -1615.9 9024.1 -1607.9 4353.4 -2231.615 33108.4 4407.7 -2311.7 10540.8 -1616.3 10526.2 -1608.0 5855.6 -2231.616 34610.9 5906.8 -2311.4 12041.7 -1616.8 12028.2 -1608.2 7357.7 -2231.617 113.4 7405.8 -2311.1 13542.6 -1617.2 13530.3 -1608.3 8859.9 -2231.618 1615.8 8904.9 -2310.8 15043.5 -1617.7 15032.3 -1608.4 10402.0 -2231.619 3118.3 10403.9 -2310.6 16544.4 -1618.1 16534.4 -1608.5 11904.2 -2231.620 4620.8 11903.0 -2310.3 18045.3 -1618.6 18036.5 -1608.6 13406.3 -2231.621 6123.2 13402.0 -2310.0 19546.2 -1619.0 19538.5 -1608.7 14908.5 -2231.622 7625.7 14901.1 -2309.7 21047.2 -1619.5 21040.6 -1608.8 16410.6 -2231.623 9128.2 16400.1 -2309.4 22548.1 -1619.9 22542.7 -1608.9 17912.8 -2231.6Mer.pass.:16:55 v-0.9 d0.3 m-3.8 v0.9 d-0.5 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    StarsSHA Dec

    Alpheratz 35740.4 2911.5Ankaa 35312.7 -4212.8

    Schedar 34936.9 5638.3Diphda 34852.7 -1753.5

    Achernar 33524.4 -5709.2Hamal 32757.2 2332.8Polaris 31607.8 8920.6Akamar 31515.8 -4014.3Menkar 31411.6 409.4Mirfak 30835.6 4955.5

    Aldebaran 29045.5 1632.6Rigel 28108.8 -811.1

    Capella 28029.4 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

    Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.5

    Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

    Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.7 -4330.3

    Miaplacidus 22138.1 -6947.3Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

    Denebola 18230.4 1428.2Gienah 17549.0 -1738.4Acrux 17305.7 -6311.5

    Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.6 -6027.2

    Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

    Rigil Kent. 13947.8 -6054.1Zubenelg. 13702.2 -1606.8Kochab 13720.8 7404.8

    Alphecca 12608.7 2639.3Antares 11222.8 -2628.0

    Atria 10722.3 -6903.2Sabik 10209.3 -1544.6

    Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

    Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

    Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

    Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

    Enif 3344.4 957.5Alnair 2740.3 -4652.6

    Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.2

    2018/1/4 SHA Mer.passVenus 7634.5 12:00Mars 13609.9 08:01

    Jupiter 13443.2 08:06Saturn 8806.9 11:12

    2018/1/5 SHA Mer.passVenus 7512.4 12:02Mars 13532.8 07:59

    Jupiter 13433.4 08:03Saturn 8759.4 11:08

    2018/1/6 SHA Mer.passVenus 7350.4 12:03Mars 13455.6 07:58

    Jupiter 13423.7 07:59Saturn 8751.8 11:05

    Horizontal paralaxVenus: 0.1Mars: 0.1

    4

  • 2018 January 04 to Jan. 06

    h Sun MoonThu GHA Dec GHA Dec d HP0 17849.2 -2244.6 33050.5 5.0 1712.6 -6.8 60.81 19348.9 -2244.4 34514.6 5.1 1705.8 -6.9 60.72 20848.6 -2244.1 35938.7 5.2 1658.8 -7.0 60.73 22348.4 -2243.9 1402.9 5.3 1651.8 -7.1 60.74 23848.1 -2243.6 2827.2 5.3 1644.6 -7.2 60.65 25347.8 -2243.3 4251.6 5.4 1637.3 -7.3 60.66 26847.5 -2243.1 5716.1 5.5 1629.9 -7.4 60.67 28347.2 -2242.8 7140.7 5.6 1622.5 -7.5 60.68 29846.9 -2242.5 8605.3 5.7 1614.9 -7.6 60.59 31346.7 -2242.3 10030.1 5.8 1607.2 -7.7 60.510 32846.4 -2242.0 11454.9 5.9 1559.4 -7.8 60.511 34346.1 -2241.8 12919.9 6.0 1551.5 -7.9 60.412 35845.8 -2241.5 14344.9 6.1 1543.5 -8.0 60.413 1345.5 -2241.2 15810.0 6.2 1535.4 -8.1 60.414 2845.3 -2240.9 17235.2 6.3 1527.2 -8.2 60.315 4345.0 -2240.7 18700.5 6.3 1518.9 -8.3 60.316 5844.7 -2240.4 20125.9 6.4 1510.5 -8.4 60.317 7344.4 -2240.1 21551.4 6.5 1502.1 -8.5 60.218 8844.1 -2239.9 23016.9 6.6 1453.5 -8.6 60.219 10343.9 -2239.6 24442.6 6.7 1444.9 -8.7 60.220 11843.6 -2239.3 25908.4 6.8 1436.1 -8.8 60.121 13343.3 -2239.0 27334.2 6.9 1427.3 -8.9 60.122 14843.0 -2238.8 28800.2 7.0 1418.4 -8.9 60.123 16342.7 -2238.5 30226.2 7.1 1409.5 -9.0 60.0

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

    Fri GHA Dec GHA Dec d HP0 17842.5 -2238.2 31652.4 7.2 1400.4 -9.1 60.01 19342.2 -2237.9 33118.6 7.3 1351.3 -9.2 60.02 20841.9 -2237.7 34545.0 7.4 1342.1 -9.2 59.93 22341.6 -2237.4 011.4 7.5 1332.8 -9.3 59.94 23841.3 -2237.1 1437.9 7.6 1323.4 -9.4 59.85 25341.1 -2236.8 2904.5 7.7 1314.0 -9.5 59.86 26840.8 -2236.6 4331.2 7.8 1304.5 -9.5 59.87 28340.5 -2236.3 5758.0 7.8 1254.9 -9.6 59.78 29840.2 -2236.0 7224.9 7.9 1245.3 -9.7 59.79 31339.9 -2235.7 8651.9 8.0 1235.6 -9.7 59.710 32839.7 -2235.4 10119.0 8.1 1225.8 -9.8 59.611 34339.4 -2235.1 11546.2 8.2 1216.0 -9.9 59.612 35839.1 -2234.9 13013.4 8.3 1206.1 -9.9 59.513 1338.8 -2234.6 14440.8 8.4 1156.1 -10.0 59.514 2838.6 -2234.3 15908.2 8.5 1146.1 -10.0 59.515 4338.3 -2234.0 17335.8 8.6 1136.1 -10.1 59.416 5838.0 -2233.7 18803.4 8.7 1125.9 -10.1 59.417 7337.7 -2233.4 20231.1 8.8 1115.8 -10.2 59.318 8837.5 -2233.1 21658.9 8.9 1105.5 -10.3 59.319 10337.2 -2232.8 23126.8 8.9 1055.3 -10.3 59.320 11836.9 -2232.5 24554.8 9.0 1044.9 -10.4 59.221 13336.6 -2232.2 26022.9 9.1 1034.6 -10.4 59.222 14836.4 -2232.0 27451.0 9.2 1024.1 -10.4 59.123 16336.1 -2231.7 28919.3 9.3 1013.7 -10.5 59.1

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

    Sat GHA Dec GHA Dec d HP0 17835.8 -2231.4 30347.6 9.4 1003.1 -10.5 59.11 19335.5 -2231.1 31816.1 9.5 952.6 -10.6 59.02 20835.3 -2230.8 33244.6 9.6 942.0 -10.6 59.03 22335.0 -2230.5 34713.2 9.6 931.4 -10.7 58.94 23834.7 -2230.2 141.8 9.7 920.7 -10.7 58.95 25334.4 -2229.9 1610.6 9.8 910.0 -10.7 58.96 26834.2 -2229.6 3039.4 9.9 859.2 -10.8 58.87 28333.9 -2229.3 4508.4 10.0 848.4 -10.8 58.88 29833.6 -2229.0 5937.4 10.0 837.6 -10.8 58.79 31333.3 -2228.7 7406.5 10.1 826.8 -10.9 58.710 32833.1 -2228.4 8835.6 10.2 815.9 -10.9 58.711 34332.8 -2228.1 10304.9 10.3 805.0 -10.9 58.612 35832.5 -2227.8 11734.2 10.4 754.0 -11.0 58.613 1332.2 -2227.5 13203.6 10.4 743.1 -11.0 58.514 2832.0 -2227.2 14633.1 10.5 732.1 -11.0 58.515 4331.7 -2226.9 16102.7 10.6 721.1 -11.0 58.516 5831.4 -2226.5 17532.3 10.7 710.0 -11.1 58.417 7331.2 -2226.2 19002.0 10.7 659.0 -11.1 58.418 8830.9 -2225.9 20431.8 10.8 647.9 -11.1 58.319 10330.6 -2225.6 21901.6 10.9 636.8 -11.1 58.320 11830.3 -2225.3 23331.6 11.0 625.6 -11.1 58.221 13330.1 -2225.0 24801.6 11.0 614.5 -11.1 58.222 14829.8 -2224.7 26231.6 11.1 603.3 -11.2 58.223 16329.5 -2224.4 27701.8 11.2 552.2 -11.2 58.1

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

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

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

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

    00h 12h Pass Upper Lower4 04:43 04:57 12:04 02:01 14:30 17(92%)5 05:10 05:24 12:05 02:59 15:26 18(84%)6 05:37 05:50 12:05 03:52 16:18 19(75%)

    5

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

    Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10630.6 17859.2 -2309.1 24049.0 -1620.4 24044.7 -1609.0 19414.9 -2231.61 12133.1 19358.3 -2308.8 25549.9 -1620.8 25546.8 -1609.1 20917.1 -2231.62 13635.5 20857.3 -2308.5 27050.8 -1621.3 27048.9 -1609.2 22419.2 -2231.63 15138.0 22356.4 -2308.3 28551.7 -1621.7 28550.9 -1609.3 23921.4 -2231.64 16640.5 23855.4 -2308.0 30052.6 -1622.1 30053.0 -1609.4 25423.5 -2231.65 18142.9 25354.5 -2307.7 31553.5 -1622.6 31555.1 -1609.5 26925.7 -2231.66 19645.4 26853.6 -2307.4 33054.4 -1623.0 33057.1 -1609.6 28427.8 -2231.67 21147.9 28352.6 -2307.1 34555.4 -1623.5 34559.2 -1609.7 29930.0 -2231.68 22650.3 29851.7 -2306.8 056.3 -1623.9 101.3 -1609.8 31432.1 -2231.69 24152.8 31350.7 -2306.5 1557.2 -1624.4 1603.3 -1610.0 32934.3 -2231.610 25655.3 32849.8 -2306.2 3058.1 -1624.8 3105.4 -1610.1 34436.4 -2231.611 27157.7 34348.8 -2305.9 4559.0 -1625.3 4607.5 -1610.2 35938.6 -2231.612 28700.2 35847.9 -2305.6 6059.9 -1625.7 6109.5 -1610.3 1440.8 -2231.613 30202.7 1347.0 -2305.3 7600.8 -1626.2 7611.6 -1610.4 2942.9 -2231.614 31705.1 2846.0 -2305.0 9101.7 -1626.6 9113.7 -1610.5 4445.1 -2231.615 33207.6 4345.1 -2304.6 10602.6 -1627.1 10615.8 -1610.6 5947.2 -2231.616 34710.0 5844.2 -2304.3 12103.6 -1627.5 12117.8 -1610.7 7449.4 -2231.617 212.5 7343.2 -2304.0 13604.5 -1628.0 13619.9 -1610.8 8951.5 -2231.618 1715.0 8842.3 -2303.7 15105.4 -1628.4 15122.0 -1610.9 10453.7 -2231.619 3217.4 10341.3 -2303.4 16606.3 -1628.9 16624.0 -1611.0 11955.8 -2231.620 4719.9 11840.4 -2303.1 18107.2 -1629.3 18126.1 -1611.1 13458.0 -2231.621 6222.4 13339.5 -2302.8 19608.1 -1629.7 19628.2 -1611.2 15000.1 -2231.622 7724.8 14838.5 -2302.5 21109.0 -1630.2 21130.2 -1611.3 16502.3 -2231.523 9227.3 16337.6 -2302.1 22609.9 -1630.6 22632.3 -1611.4 18004.4 -2231.5Mer.pass.:16:51 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10729.8 17836.6 -2301.8 24110.8 -1631.1 24134.4 -1611.5 19506.6 -2231.51 12232.2 19335.7 -2301.5 25611.7 -1631.5 25636.5 -1611.6 21008.7 -2231.52 13734.7 20834.8 -2301.2 27112.7 -1632.0 27138.5 -1611.7 22510.9 -2231.53 15237.1 22333.8 -2300.9 28613.6 -1632.4 28640.6 -1611.8 24013.0 -2231.54 16739.6 23832.9 -2300.5 30114.5 -1632.9 30142.7 -1611.9 25515.2 -2231.55 18242.1 25332.0 -2300.2 31615.4 -1633.3 31644.7 -1612.0 27017.3 -2231.56 19744.5 26831.0 -2259.9 33116.3 -1633.7 33146.8 -1612.1 28519.5 -2231.57 21247.0 28330.1 -2259.6 34617.2 -1634.2 34648.9 -1612.3 30021.6 -2231.58 22749.5 29829.2 -2259.2 118.1 -1634.6 150.9 -1612.4 31523.8 -2231.59 24251.9 31328.2 -2258.9 1619.0 -1635.1 1653.0 -1612.5 33025.9 -2231.510 25754.4 32827.3 -2258.6 3119.9 -1635.5 3155.1 -1612.6 34528.1 -2231.511 27256.9 34326.4 -2258.2 4620.8 -1635.9 4657.2 -1612.7 030.3 -2231.512 28759.3 35825.4 -2257.9 6121.7 -1636.4 6159.2 -1612.8 1532.4 -2231.513 30301.8 1324.5 -2257.6 7622.7 -1636.8 7701.3 -1612.9 3034.6 -2231.514 31804.3 2823.6 -2257.2 9123.6 -1637.3 9203.4 -1613.0 4536.7 -2231.515 33306.7 4322.6 -2256.9 10624.5 -1637.7 10705.5 -1613.1 6038.9 -2231.516 34809.2 5821.7 -2256.6 12125.4 -1638.2 12207.5 -1613.2 7541.0 -2231.517 311.6 7320.8 -2256.2 13626.3 -1638.6 13709.6 -1613.3 9043.2 -2231.518 1814.1 8819.8 -2255.9 15127.2 -1639.0 15211.7 -1613.4 10545.3 -2231.519 3316.6 10318.9 -2255.5 16628.1 -1639.5 16713.8 -1613.5 12047.5 -2231.520 4819.0 11818.0 -2255.2 18129.0 -1639.9 18215.8 -1613.6 13549.6 -2231.521 6321.5 13317.0 -2254.8 19629.9 -1640.4 19717.9 -1613.7 15051.8 -2231.522 7824.0 14816.1 -2254.5 21130.8 -1640.8 21220.0 -1613.8 16553.9 -2231.523 9326.4 16315.2 -2254.2 22631.7 -1641.2 22722.0 -1613.9 18056.1 -2231.5Mer.pass.:16:47 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10828.9 17814.2 -2253.8 24132.6 -1641.7 24224.1 -1614.0 19558.2 -2231.51 12331.4 19313.3 -2253.5 25633.5 -1642.1 25726.2 -1614.1 21100.4 -2231.52 13833.8 20812.4 -2253.1 27134.5 -1642.6 27228.3 -1614.2 22602.5 -2231.53 15336.3 22311.5 -2252.8 28635.4 -1643.0 28730.3 -1614.3 24104.7 -2231.54 16838.7 23810.5 -2252.4 30136.3 -1643.4 30232.4 -1614.4 25606.8 -2231.55 18341.2 25309.6 -2252.0 31637.2 -1643.9 31734.5 -1614.5 27109.0 -2231.56 19843.7 26808.7 -2251.7 33138.1 -1644.3 33236.6 -1614.6 28611.2 -2231.47 21346.1 28307.7 -2251.3 34639.0 -1644.8 34738.7 -1614.7 30113.3 -2231.48 22848.6 29806.8 -2251.0 139.9 -1645.2 240.7 -1614.8 31615.5 -2231.49 24351.1 31305.9 -2250.6 1640.8 -1645.6 1742.8 -1614.9 33117.6 -2231.410 25853.5 32805.0 -2250.3 3141.7 -1646.1 3244.9 -1615.0 34619.8 -2231.411 27356.0 34304.0 -2249.9 4642.6 -1646.5 4747.0 -1615.1 121.9 -2231.412 28858.5 35803.1 -2249.5 6143.5 -1646.9 6249.0 -1615.2 1624.1 -2231.413 30400.9 1302.2 -2249.2 7644.4 -1647.4 7751.1 -1615.3 3126.2 -2231.414 31903.4 2801.3 -2248.8 9145.3 -1647.8 9253.2 -1615.4 4628.4 -2231.415 33405.9 4300.3 -2248.4 10646.2 -1648.3 10755.3 -1615.5 6130.5 -2231.416 34908.3 5759.4 -2248.1 12147.1 -1648.7 12257.3 -1615.6 7632.7 -2231.417 410.8 7258.5 -2247.7 13648.1 -1649.1 13759.4 -1615.7 9134.8 -2231.418 1913.2 8757.6 -2247.3 15149.0 -1649.6 15301.5 -1615.8 10637.0 -2231.419 3415.7 10256.6 -2247.0 16649.9 -1650.0 16803.6 -1615.9 12139.2 -2231.420 4918.2 11755.7 -2246.6 18150.8 -1650.4 18305.7 -1616.0 13641.3 -2231.421 6420.6 13254.8 -2246.2 19651.7 -1650.9 19807.7 -1616.1 15143.5 -2231.422 7923.1 14753.9 -2245.8 21152.6 -1651.3 21309.8 -1616.2 16645.6 -2231.423 9425.6 16252.9 -2245.5 22653.5 -1651.7 22811.9 -1616.3 18147.8 -2231.4Mer.pass.:16:43 v-0.9 d0.3 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    StarsSHA Dec

    Alpheratz 35740.4 2911.5Ankaa 35312.8 -4212.8

    Schedar 34937.0 5638.3Diphda 34852.7 -1753.5

    Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31609.1 8920.6Akamar 31515.8 -4014.4Menkar 31411.6 409.4Mirfak 30835.6 4955.5

    Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

    Capella 28029.4 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

    Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

    Sirius 25830.6 -1644.5Adara 25509.7 -2860.0

    Procyon 24456.1 510.7Pollux 24323.5 2758.7Avior 23416.1 -5934.0Suhail 22249.7 -4330.3

    Miaplacidus 22138.1 -6947.4Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.7 6139.0

    Denebola 18230.3 1428.2Gienah 17549.0 -1738.4Acrux 17305.6 -6311.6

    Gacrux 17157.3 -5712.5Alioth 16618.1 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.6 -6027.2

    Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

    Rigil Kent. 13947.7 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.8 7404.7

    Alphecca 12608.7 2639.3Antares 11222.7 -2628.0

    Atria 10722.2 -6903.2Sabik 10209.3 -1544.6

    Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

    Etamin 9045.2 5129.3Kaus Aust. 8340.1 -3422.3

    Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

    Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

    Enif 3344.4 957.5Alnair 2740.3 -4652.6

    Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

    2018/1/7 SHA Mer.passVenus 7228.6 12:05Mars 13418.4 07:56

    Jupiter 13414.1 07:56Saturn 8744.3 11:01

    2018/1/8 SHA Mer.passVenus 7106.9 12:06Mars 13341.1 07:55

    Jupiter 13404.6 07:53Saturn 8736.8 10:58

    2018/1/9 SHA Mer.passVenus 6945.4 12:08Mars 13303.7 07:53

    Jupiter 13355.2 07:49Saturn 8729.3 10:55

    Horizontal paralaxVenus: 0.1Mars: 0.1

    6

  • 2018 January 07 to Jan. 09

    h Sun MoonSun GHA Dec GHA Dec d HP0 17829.3 -2224.1 29132.0 11.2 541.0 -11.2 58.11 19329.0 -2223.7 30602.3 11.3 529.8 -11.2 58.02 20828.7 -2223.4 32032.6 11.4 518.6 -11.2 58.03 22328.4 -2223.1 33503.0 11.4 507.3 -11.2 58.04 23828.2 -2222.8 34933.5 11.5 456.1 -11.2 57.95 25327.9 -2222.5 404.0 11.6 444.9 -11.2 57.96 26827.6 -2222.2 1834.6 11.6 433.6 -11.3 57.87 28327.4 -2221.9 3305.3 11.7 422.4 -11.3 57.88 29827.1 -2221.5 4736.0 11.8 411.1 -11.3 57.89 31326.8 -2221.2 6206.8 11.8 359.8 -11.3 57.710 32826.6 -2220.9 7637.7 11.9 348.5 -11.3 57.711 34326.3 -2220.6 9108.6 11.9 337.3 -11.3 57.612 35826.0 -2220.2 10539.6 12.0 326.0 -11.3 57.613 1325.8 -2219.9 12010.6 12.1 314.7 -11.3 57.614 2825.5 -2219.6 13441.7 12.1 303.4 -11.3 57.515 4325.2 -2219.3 14912.8 12.2 252.2 -11.3 57.516 5825.0 -2218.9 16344.0 12.2 240.9 -11.3 57.417 7324.7 -2218.6 17815.2 12.3 229.6 -11.3 57.418 8824.4 -2218.3 19246.5 12.3 218.3 -11.3 57.419 10324.2 -2218.0 20717.9 12.4 207.1 -11.3 57.320 11823.9 -2217.6 22149.3 12.4 155.8 -11.3 57.321 13323.6 -2217.3 23620.7 12.5 144.6 -11.3 57.222 14823.4 -2217.0 25052.2 12.5 133.3 -11.2 57.223 16323.1 -2216.7 26523.8 12.6 122.1 -11.2 57.2

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

    Mon GHA Dec GHA Dec d HP0 17822.8 -2216.3 27955.4 12.6 110.8 -11.2 57.11 19322.6 -2216.0 29427.0 12.7 059.6 -11.2 57.12 20822.3 -2215.7 30858.7 12.7 048.4 -11.2 57.13 22322.0 -2215.3 32330.4 12.8 037.2 -11.2 57.04 23821.8 -2215.0 33802.2 12.8 026.0 -11.2 57.05 25321.5 -2214.7 35234.0 12.8 014.9 -11.2 56.96 26821.2 -2214.3 705.9 12.9 003.7 -11.2 56.97 28321.0 -2214.0 2137.8 12.9 -007.4 -11.1 56.98 29820.7 -2213.6 3609.7 13.0 -018.6 -11.1 56.89 31320.4 -2213.3 5041.7 13.0 -029.7 -11.1 56.810 32820.2 -2213.0 6513.7 13.0 -040.8 -11.1 56.811 34319.9 -2212.6 7945.8 13.1 -051.9 -11.1 56.712 35819.7 -2212.3 9417.9 13.1 -102.9 -11.1 56.713 1319.4 -2211.9 10850.0 13.1 -114.0 -11.0 56.614 2819.1 -2211.6 12322.2 13.2 -125.0 -11.0 56.615 4318.9 -2211.3 13754.4 13.2 -136.0 -11.0 56.616 5818.6 -2210.9 15226.6 13.2 -147.0 -11.0 56.517 7318.3 -2210.6 16658.8 13.3 -157.9 -10.9 56.518 8818.1 -2210.2 18131.1 13.3 -208.9 -10.9 56.519 10317.8 -2209.9 19603.5 13.3 -219.8 -10.9 56.420 11817.6 -2209.5 21035.8 13.4 -230.7 -10.9 56.421 13317.3 -2209.2 22508.2 13.4 -241.5 -10.8 56.422 14817.0 -2208.8 23940.6 13.4 -252.3 -10.8 56.323 16316.8 -2208.5 25413.0 13.4 -303.2 -10.8 56.3

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

    Tue GHA Dec GHA Dec d HP0 17816.5 -2208.1 26845.5 13.5 -313.9 -10.8 56.31 19316.3 -2207.8 28318.0 13.5 -324.7 -10.7 56.22 20816.0 -2207.4 29750.5 13.5 -335.4 -10.7 56.23 22315.7 -2207.1 31223.0 13.5 -346.1 -10.7 56.24 23815.5 -2206.7 32655.6 13.6 -356.8 -10.7 56.15 25315.2 -2206.4 34128.2 13.6 -407.4 -10.6 56.16 26815.0 -2206.0 35600.8 13.6 -418.0 -10.6 56.17 28314.7 -2205.7 1033.4 13.6 -428.6 -10.6 56.08 29814.4 -2205.3 2506.0 13.6 -439.2 -10.5 56.09 31314.2 -2205.0 3938.7 13.7 -449.7 -10.5 56.010 32813.9 -2204.6 5411.3 13.7 -500.1 -10.5 55.911 34313.7 -2204.2 6844.0 13.7 -510.6 -10.4 55.912 35813.4 -2203.9 8316.7 13.7 -521.0 -10.4 55.913 1313.2 -2203.5 9749.5 13.7 -531.4 -10.4 55.814 2812.9 -2203.2 11222.2 13.7 -541.7 -10.3 55.815 4312.6 -2202.8 12655.0 13.8 -552.0 -10.3 55.816 5812.4 -2202.4 14127.7 13.8 -602.3 -10.2 55.817 7312.1 -2202.1 15600.5 13.8 -612.5 -10.2 55.718 8811.9 -2201.7 17033.3 13.8 -622.7 -10.2 55.719 10311.6 -2201.4 18506.1 13.8 -632.9 -10.1 55.720 11811.4 -2201.0 19938.9 13.8 -643.0 -10.1 55.621 13311.1 -2200.6 21411.7 13.8 -653.0 -10.1 55.622 14810.9 -2200.3 22844.5 13.8 -703.1 -10.0 55.623 16310.6 -2159.9 24317.4 13.8 -713.1 -10.0 55.6

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

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

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

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

    00h 12h Pass Upper Lower7 06:03 06:16 12:06 04:43 17:07 20(65%)8 06:29 06:41 12:06 05:30 17:53 21(55%)9 06:54 07:06 12:07 06:16 18:38 22(44%)

    7

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

    Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10928.0 17752.0 -2245.1 24154.4 -1652.2 24314.0 -1616.4 19649.9 -2231.41 12430.5 19251.1 -2244.7 25655.3 -1652.6 25816.1 -1616.6 21152.1 -2231.42 13933.0 20750.2 -2244.3 27156.2 -1653.0 27318.1 -1616.7 22654.2 -2231.43 15435.4 22249.3 -2243.9 28657.1 -1653.5 28820.2 -1616.8 24156.4 -2231.44 16937.9 23748.3 -2243.6 30158.0 -1653.9 30322.3 -1616.9 25658.5 -2231.45 18440.4 25247.4 -2243.2 31658.9 -1654.3 31824.4 -1617.0 27200.7 -2231.46 19942.8 26746.5 -2242.8 33159.8 -1654.8 33326.5 -1617.1 28702.8 -2231.47 21445.3 28245.6 -2242.4 34700.7 -1655.2 34828.5 -1617.2 30205.0 -2231.48 22947.7 29744.7 -2242.0 201.6 -1655.6 330.6 -1617.3 31707.2 -2231.49 24450.2 31243.7 -2241.6 1702.5 -1656.1 1832.7 -1617.4 33209.3 -2231.410 25952.7 32742.8 -2241.2 3203.4 -1656.5 3334.8 -1617.5 34711.5 -2231.411 27455.1 34241.9 -2240.8 4704.3 -1656.9 4836.9 -1617.6 213.6 -2231.312 28957.6 35741.0 -2240.5 6205.3 -1657.4 6338.9 -1617.7 1715.8 -2231.313 30500.1 1240.1 -2240.1 7706.2 -1657.8 7841.0 -1617.8 3217.9 -2231.314 32002.5 2739.1 -2239.7 9207.1 -1658.2 9343.1 -1617.9 4720.1 -2231.315 33505.0 4238.2 -2239.3 10708.0 -1658.7 10845.2 -1618.0 6222.2 -2231.316 35007.5 5737.3 -2238.9 12208.9 -1659.1 12347.3 -1618.1 7724.4 -2231.317 509.9 7236.4 -2238.5 13709.8 -1659.5 13849.3 -1618.2 9226.5 -2231.318 2012.4 8735.5 -2238.1 15210.7 -1660.0 15351.4 -1618.3 10728.7 -2231.319 3514.8 10234.6 -2237.7 16711.6 -1700.4 16853.5 -1618.4 12230.9 -2231.320 5017.3 11733.6 -2237.3 18212.5 -1700.8 18355.6 -1618.5 13733.0 -2231.321 6519.8 13232.7 -2236.9 19713.4 -1701.3 19857.7 -1618.6 15235.2 -2231.322 8022.2 14731.8 -2236.5 21214.3 -1701.7 21359.8 -1618.7 16737.3 -2231.323 9524.7 16230.9 -2236.1 22715.2 -1702.1 22901.8 -1618.8 18239.5 -2231.3Mer.pass.:16:39 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11027.2 17730.0 -2235.7 24216.1 -1702.5 24403.9 -1618.9 19741.6 -2231.31 12529.6 19229.1 -2235.3 25717.0 -1703.0 25906.0 -1619.0 21243.8 -2231.32 14032.1 20728.1 -2234.8 27217.9 -1703.4 27408.1 -1619.1 22745.9 -2231.33 15534.6 22227.2 -2234.4 28718.8 -1703.8 28910.2 -1619.2 24248.1 -2231.34 17037.0 23726.3 -2234.0 30219.7 -1704.3 30412.3 -1619.3 25750.2 -2231.35 18539.5 25225.4 -2233.6 31720.6 -1704.7 31914.4 -1619.3 27252.4 -2231.36 20042.0 26724.5 -2233.2 33221.5 -1705.1 33416.4 -1619.4 28754.6 -2231.37 21544.4 28223.6 -2232.8 34722.4 -1705.6 34918.5 -1619.5 30256.7 -2231.38 23046.9 29722.7 -2232.4 223.3 -1706.0 420.6 -1619.6 31758.9 -2231.39 24549.3 31221.8 -2232.0 1724.2 -1706.4 1922.7 -1619.7 33301.0 -2231.310 26051.8 32720.9 -2231.5 3225.1 -1706.8 3424.8 -1619.8 34803.2 -2231.311 27554.3 34219.9 -2231.1 4726.0 -1707.3 4926.9 -1619.9 305.3 -2231.312 29056.7 35719.0 -2230.7 6226.9 -1707.7 6428.9 -1620.0 1807.5 -2231.313 30559.2 1218.1 -2230.3 7727.8 -1708.1 7931.0 -1620.1 3309.6 -2231.214 32101.7 2717.2 -2229.8 9228.7 -1708.5 9433.1 -1620.2 4811.8 -2231.215 33604.1 4216.3 -2229.4 10729.6 -1709.0 10935.2 -1620.3 6314.0 -2231.216 35106.6 5715.4 -2229.0 12230.5 -1709.4 12437.3 -1620.4 7816.1 -2231.217 609.1 7214.5 -2228.6 13731.4 -1709.8 13939.4 -1620.5 9318.3 -2231.218 2111.5 8713.6 -2228.1 15232.3 -1710.3 15441.5 -1620.6 10820.4 -2231.219 3614.0 10212.7 -2227.7 16733.2 -1710.7 16943.6 -1620.7 12322.6 -2231.220 5116.5 11711.8 -2227.3 18234.1 -1711.1 18445.6 -1620.8 13824.7 -2231.221 6618.9 13210.9 -2226.9 19735.0 -1711.5 19947.7 -1620.9 15326.9 -2231.222 8121.4 14709.9 -2226.4 21235.9 -1712.0 21449.8 -1621.0 16829.0 -2231.223 9623.8 16209.0 -2226.0 22736.8 -1712.4 22951.9 -1621.1 18331.2 -2231.2Mer.pass.:16:35 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11126.3 17708.1 -2225.6 24237.7 -1712.8 24454.0 -1621.2 19833.4 -2231.21 12628.8 19207.2 -2225.1 25738.6 -1713.2 25956.1 -1621.3 21335.5 -2231.22 14131.2 20706.3 -2224.7 27239.6 -1713.7 27458.2 -1621.4 22837.7 -2231.23 15633.7 22205.4 -2224.2 28740.5 -1714.1 29000.3 -1621.5 24339.8 -2231.24 17136.2 23704.5 -2223.8 30241.4 -1714.5 30502.4 -1621.6 25842.0 -2231.25 18638.6 25203.6 -2223.4 31742.3 -1714.9 32004.4 -1621.7 27344.1 -2231.26 20141.1 26702.7 -2222.9 33243.2 -1715.3 33506.5 -1621.8 28846.3 -2231.27 21643.6 28201.8 -2222.5 34744.1 -1715.8 35008.6 -1621.9 30348.5 -2231.28 23146.0 29700.9 -2222.0 245.0 -1716.2 510.7 -1622.0 31850.6 -2231.29 24648.5 31160.0 -2221.6 1745.9 -1716.6 2012.8 -1622.1 33352.8 -2231.210 26151.0 32659.1 -2221.1 3246.8 -1717.0 3514.9 -1622.2 34854.9 -2231.211 27653.4 34158.2 -2220.7 4747.7 -1717.5 5017.0 -1622.3 357.1 -2231.212 29155.9 35657.3 -2220.2 6248.6 -1717.9 6519.1 -1622.4 1859.2 -2231.213 30658.3 1156.4 -2219.8 7749.5 -1718.3 8021.2 -1622.5 3401.4 -2231.214 32200.8 2655.5 -2219.3 9250.4 -1718.7 9523.3 -1622.6 4903.5 -2231.115 33703.3 4154.6 -2218.9 10751.3 -1719.2 11025.3 -1622.7 6405.7 -2231.116 35205.7 5653.7 -2218.4 12252.2 -1719.6 12527.4 -1622.8 7907.9 -2231.117 708.2 7152.8 -2218.0 13753.1 -1720.0 14029.5 -1622.9 9410.0 -2231.118 2210.7 8651.9 -2217.5 15254.0 -1720.4 15531.6 -1623.0 10912.2 -2231.119 3713.1 10151.0 -2217.1 16754.9 -1720.8 17033.7 -1623.1 12414.3 -2231.120 5215.6 11650.1 -2216.6 18255.8 -1721.3 18535.8 -1623.2 13916.5 -2231.121 6718.1 13149.2 -2216.1 19756.7 -1721.7 20037.9 -1623.3 15418.6 -2231.122 8220.5 14648.3 -2215.7 21257.6 -1722.1 21540.0 -1623.4 16920.8 -2231.123 9723.0 16147.4 -2215.2 22758.5 -1722.5 23042.1 -1623.4 18423.0 -2231.1Mer.pass.:16:31 v-0.9 d0.4 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    StarsSHA Dec

    Alpheratz 35740.4 2911.5Ankaa 35312.8 -4212.8

    Schedar 34937.0 5638.3Diphda 34852.7 -1753.5

    Achernar 33524.5 -5709.2Hamal 32757.2 2332.8Polaris 31610.2 8920.6Akamar 31515.8 -4014.4Menkar 31411.7 409.4Mirfak 30835.6 4955.5

    Aldebaran 29045.6 1632.6Rigel 28108.8 -811.1

    Capella 28029.5 4600.9Bellatrix 27828.4 621.7Elnath 27808.4 2837.2Alnilam 27542.9 -111.7

    Betelgeuse 27057.6 724.4Canopus 26354.2 -5242.6

    Sirius 25830.6 -1644.5Adara 25509.7 -2900.0

    Procyon 24456.1 510.7Pollux 24323.5 2758.8Avior 23416.1 -5934.1Suhail 22249.7 -4330.3

    Miaplacidus 22138.1 -6947.4Alphard 21752.8 -844.3Regulus 20740.0 1152.6Dubhe 19347.6 6139.0

    Denebola 18230.3 1428.2Gienah 17549.0 -1738.4Acrux 17305.6 -6311.6

    Gacrux 17157.2 -5712.5Alioth 16618.0 5551.5Spica 15828.0 -1115.1Alcaid 15256.6 4913.3Hadar 14843.5 -6027.2

    Menkent 14804.0 -3627.2Arcturus 14552.9 1905.6

    Rigil Kent. 13947.7 -6054.1Zubenelg. 13702.1 -1606.8Kochab 13720.7 7404.7

    Alphecca 12608.6 2639.3Antares 11222.7 -2628.0

    Atria 10722.2 -6903.2Sabik 10209.3 -1544.6

    Shaula 9618.1 -3706.7Rasalhague 9603.9 1233.0

    Etamin 9045.2 5129.2Kaus Aust. 8340.1 -3422.3

    Vega 8037.3 3848.1Nunki 7554.9 -2616.3Altair 6205.6 855.0

    Peacock 5315.0 -5640.6Deneb 4929.8 4520.8

    Enif 3344.4 957.5Alnair 2740.3 -4652.6

    Fomalhaut 1520.9 -2931.8Scheat 1350.6 2810.9Markab 1335.4 1518.1

    2018/1/1 SHA Mer.passVenus 6824.0 12:09Mars 13226.4 07:52

    Jupiter 13345.9 07:46Saturn 8721.9 10:51

    2018/1/1 SHA Mer.passVenus 6702.8 12:11Mars 13148.9 07:50

    Jupiter 13336.8 07:43Saturn 8714.5 10:48

    2018/1/1 SHA Mer.passVenus 6541.8 12:12Mars 13111.4 07:49

    Jupiter 13327.7 07:39Saturn 8707.0 10:44

    Horizontal paralaxVenus: 0.1Mars: 0.1

    8

  • 2018 January 10 to Jan. 12

    h Sun MoonWed GHA Dec GHA Dec d HP0 17810.3 -2159.5 25750.2 13.8 -723.0 -9.9 55.51 19310.1 -2159.2 27223.1 13.9 -732.9 -9.9 55.52 20809.8 -2158.8 28655.9 13.9 -742.8 -9.8 55.53 22309.6 -2158.4 30128.8 13.9 -752.6 -9.8 55.44 23809.3 -2158.0 31601.6 13.9 -802.4 -9.8 55.45 25309.1 -2157.7 33034.5 13.9 -812.1 -9.7 55.46 26808.8 -2157.3 34507.4 13.9 -821.8 -9.7 55.47 28308.6 -2156.9 35940.3 13.9 -831.4 -9.6 55.38 29808.3 -2156.6 1413.1 13.9 -841.0 -9.6 55.39 31308.1 -2156.2 2846.0 13.9 -850.6 -9.5 55.310 32807.8 -2155.8 4318.9 13.9 -900.1 -9.5 55.311 34307.6 -2155.4 5751.8 13.9 -909.6 -9.4 55.212 35807.3 -2155.1 7224.6 13.9 -919.0 -9.4 55.213 1307.1 -2154.7 8657.5 13.9 -928.3 -9.3 55.214 2806.8 -2154.3 10130.4 13.9 -937.6 -9.3 55.215 4306.5 -2153.9 11603.2 13.9 -946.9 -9.2 55.116 5806.3 -2153.5 13036.1 13.9 -956.1 -9.2 55.117 7306.0 -2153.2 14509.0 13.9 -1005.3 -9.1 55.118 8805.8 -2152.8 15941.8 13.9 -1014.4 -9.1 55.119 10305.5 -2152.4 17414.7 13.8 -1023.4 -9.0 55.020 11805.3 -2152.0 18847.5 13.8 -1032.4 -9.0 55.021 13305.0 -2151.6 20320.4 13.8 -1041.4 -8.9 55.022 14804.8 -2151.2 21753.2 13.8 -1050.3 -8.9 55.023 16304.5 -2150.9 23226.0 13.8 -1059.1 -8.8 55.0

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

    Thu GHA Dec GHA Dec d HP0 17804.3 -2150.5 24658.8 13.8 -1107.9 -8.8 54.91 19304.0 -2150.1 26131.6 13.8 -1116.7 -8.7 54.92 20803.8 -2149.7 27604.5 13.8 -1125.4 -8.7 54.93 22303.6 -2149.3 29037.2 13.8 -1134.0 -8.6 54.94 23803.3 -2148.9 30510.0 13.8 -1142.6 -8.5 54.85 25303.1 -2148.5 31942.8 13.8 -1151.1 -8.5 54.86 26802.8 -2148.1 33415.6 13.8 -1159.5 -8.4 54.87 28302.6 -2147.8 34848.3 13.7 -1207.9 -8.4 54.88 29802.3 -2147.4 321.0 13.7 -1216.3 -8.3 54.89 31302.1 -2147.0 1753.8 13.7 -1224.5 -8.3 54.710 32801.8 -2146.6 3226.5 13.7 -1232.8 -8.2 54.711 34301.6 -2146.2 4659.2 13.7 -1240.9 -8.1 54.712 35801.3 -2145.8 6131.9 13.7 -1249.0 -8.1 54.713 1301.1 -2145.4 7604.5 13.7 -1257.1 -8.0 54.714 2800.8 -2145.0 9037.2 13.7 -1305.1 -8.0 54.715 4300.6 -2144.6 10509.8 13.6 -1313.0 -7.9 54.616 5800.3 -2144.2 11942.5 13.6 -1320.8 -7.8 54.617 7300.1 -2143.8 13415.1 13.6 -1328.6 -7.8 54.618 8759.9 -2143.4 14847.7 13.6 -1336.4 -7.7 54.619 10259.6 -2143.0 16320.3 13.6 -1344.0 -7.6 54.620 11759.4 -2142.6 17752.8 13.6 -1351.6 -7.6 54.621 13259.1 -2142.2 19225.4 13.5 -1359.2 -7.5 54.522 14758.9 -2141.8 20657.9 13.5 -1406.7 -7.4 54.523 16258.6 -2141.4 22130.4 13.5 -1414.1 -7.4 54.5

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

    Fri GHA Dec GHA Dec d HP0 17758.4 -2141.0 23602.9 13.5 -1421.4 -7.3 54.51 19258.2 -2140.6 25035.4 13.5 -1428.7 -7.2 54.52 20757.9 -2140.2 26507.8 13.4 -1435.9 -7.2 54.53 22257.7 -2139.8 27940.3 13.4 -1443.0 -7.1 54.44 23757.4 -2139.4 29412.7 13.4 -1450.1 -7.0 54.45 25257.2 -2139.0 30845.1 13.4 -1457.1 -7.0 54.46 26756.9 -2138.6 32317.5 13.4 -1504.1 -6.9 54.47 28256.7 -2138.2 33749.9 13.4 -1510.9 -6.8 54.48 29756.5 -2137.8 35222.2 13.3 -1517.7 -6.8 54.49 31256.2 -2137.3 654.5 13.3 -1524.5 -6.7 54.410 32756.0 -2136.9 2126.8 13.3 -1531.1 -6.6 54.311 34255.7 -2136.5 3559.1 13.3 -1537.7 -6.6 54.312 35755.5 -2136.1 5031.4 13.3 -1544.3 -6.5 54.313 1255.3 -2135.7 6503.6 13.2 -1550.7 -6.4 54.314 2755.0 -2135.3 7935.8 13.2 -1557.1 -6.3 54.315 4254.8 -2134.9 9408.0 13.2 -1603.4 -6.3 54.316 5754.5 -2134.5 10840.2 13.2 -1609.6 -6.2 54.317 7254.3 -2134.0 12312.4 13.1 -1615.8 -6.1 54.318 8754.1 -2133.6 13744.5 13.1 -1621.9 -6.0 54.219 10253.8 -2133.2 15216.6 13.1 -1627.9 -6.0 54.220 11753.6 -2132.8 16648.7 13.1 -1633.8 -5.9 54.221 13253.4 -2132.4 18120.8 13.1 -1639.7 -5.8 54.222 14753.1 -2131.9 19552.8 13.0 -1645.4 -5.7 54.223 16252.9 -2131.5 21024.8 13.0 -1651.2 -5.7 54.2

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

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

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

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

    00h 12h Pass Upper Lower10 07:19 07:31 12:07 07:01 19:23 23(35%)11 07:43 07:55 12:07 07:46 20:08 24(26%)12 08:07 08:18 12:08 08:31 20:54 25(18%)

    9

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

    Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11225.4 17646.5 -2214.8 24259.4 -1722.9 24544.2 -1623.5 19925.1 -2231.11 12727.9 19145.6 -2214.3 25800.3 -1723.4 26046.3 -1623.6 21427.3 -2231.12 14230.4 20644.7 -2213.8 27301.1 -1723.8 27548.4 -1623.7 22929.4 -2231.13 15732.8 22143.8 -2213.4 28802.0 -1724.2 29050.5 -1623.8 24431.6 -2231.14 17235.3 23642.9 -2212.9 30302.9 -1724.6 30552.5 -1623.9 25933.7 -2231.15 18737.8 25142.0 -2212.4 31803.8 -1725.0 32054.6 -1624.0 27435.9 -2231.16 20240.2 26641.1 -2212.0 33304.7 -1725.5 33556.7 -1624.1 28938.1 -2231.17 21742.7 28140.2 -2211.5 34805.6 -1725.9 35058.8 -1624.2 30440.2 -2231.18 23245.2 29639.3 -2211.0 306.5 -1726.3 600.9 -1624.3 31942.4 -2231.19 24747.6 31138.4 -2210.5 1807.4 -1726.7 2103.0 -1624.4 33444.5 -2231.110 26250.1 32637.5 -2210.1 3308.3 -1727.1 3605.1 -1624.5 34946.7 -2231.111 27752.6 34136.7 -2209.6 4809.2 -1727.5 5107.2 -1624.6 448.8 -2231.112 29255.0 35635.8 -2209.1 6310.1 -1728.0 6609.3 -1624.7 1951.0 -2231.113 30757.5 1134.9 -2208.6 7811.0 -1728.4 8111.4 -1624.8 3453.2 -2231.014 32259.9 2634.0 -2208.2 9311.9 -1728.8 9613.5 -1624.9 4955.3 -2231.015 33802.4 4133.1 -2207.7 10812.8 -1729.2 11115.6 -1625.0 6457.5 -2231.016 35304.9 5632.2 -2207.2 12313.7 -1729.6 12617.7 -1625.1 7959.6 -2231.017 807.3 7131.3 -2206.7 13814.6 -1730.0 14119.8 -1625.2 9501.8 -2231.018 2309.8 8630.4 -2206.2 15315.5 -1730.5 15621.9 -1625.3 11004.0 -2231.019 3812.3 10129.5 -2205.7 16816.4 -1730.9 17124.0 -1625.4 12506.1 -2231.020 5314.7 11628.6 -2205.2 18317.3 -1731.3 18626.1 -1625.5 14008.3 -2231.021 6817.2 13127.7 -2204.8 19818.2 -1731.7 20128.2 -1625.5 15510.4 -2231.022 8319.7 14626.9 -2204.3 21319.1 -1732.1 21630.3 -1625.6 17012.6 -2231.023 9822.1 16126.0 -2203.8 22820.0 -1732.5 23132.4 -1625.7 18514.7 -2231.0Mer.pass.:16:27 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11324.6 17625.1 -2203.3 24320.9 -1733.0 24634.5 -1625.8 20016.9 -2231.01 12827.1 19124.2 -2202.8 25821.8 -1733.4 26136.6 -1625.9 21519.1 -2231.02 14329.5 20623.3 -2202.3 27322.7 -1733.8 27638.7 -1626.0 23021.2 -2231.03 15832.0 22122.4 -2201.8 28823.6 -1734.2 29140.8 -1626.1 24523.4 -2231.04 17334.4 23621.5 -2201.3 30324.5 -1734.6 30642.9 -1626.2 26025.5 -2231.05 18836.9 25120.7 -2200.8 31825.4 -1735.0 32145.0 -1626.3 27527.7 -2231.06 20339.4 26619.8 -2200.3 33326.3 -1735.4 33647.1 -1626.4 29029.9 -2231.07 21841.8 28118.9 -2159.8 34827.2 -1735.9 35149.2 -1626.5 30532.0 -2231.08 23344.3 29618.0 -2159.3 328.1 -1736.3 651.3 -1626.6 32034.2 -2231.09 24846.8 31117.1 -2158.8 1829.0 -1736.7 2153.4 -1626.7 33536.3 -2231.010 26349.2 32616.2 -2158.3 3329.9 -1737.1 3655.5 -1626.8 35038.5 -2231.011 27851.7 34115.3 -2157.8 4830.8 -1737.5 5157.6 -1626.9 540.6 -2230.912 29354.2 35614.5 -2157.3 6331.7 -1737.9 6659.7 -1627.0 2042.8 -2230.913 30856.6 1113.6 -2156.8 7832.6 -1738.3 8201.8 -1627.0 3545.0 -2230.914 32359.1 2612.7 -2156.3 9333.5 -1738.7 9703.9 -1627.1 5047.1 -2230.915 33901.6 4111.8 -2155.8 10834.4 -1739.2 11206.0 -1627.2 6549.3 -2230.916 35404.0 5610.9 -2155.3 12335.3 -1739.6 12708.1 -1627.3 8051.4 -2230.917 906.5 7110.1 -2154.8 13836.1 -1740.0 14210.2 -1627.4 9553.6 -2230.918 2408.9 8609.2 -2154.3 15337.0 -1740.4 15712.3 -1627.5 11055.8 -2230.919 3911.4 10108.3 -2153.7 16837.9 -1740.8 17214.4 -1627.6 12557.9 -2230.920 5413.9 11607.4 -2153.2 18338.8 -1741.2 18716.5 -1627.7 14100.1 -2230.921 6916.3 13106.5 -2152.7 19839.7 -1741.6 20218.6 -1627.8 15602.2 -2230.922 8418.8 14605.7 -2152.2 21340.6 -1742.0 21720.7 -1627.9 17104.4 -2230.923 9921.3 16104.8 -2151.7 22841.5 -1742.4 23222.8 -1628.0 18606.6 -2230.9Mer.pass.:16:23 v-0.9 d0.5 m-3.8 v0.9 d-0.4 m1.4 v2.1 d-0.1 m-1.7 v2.2 d0.0 m0.5

    Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11423.7 17603.9 -2151.2 24342.4 -1742.9 24724.9 -1628.1 20108.7 -2230.91 12926.2 19103.0 -2150.6 25843.3 -1743.3 26227.0 -1628.2 21610.9 -2230.92 14428.7 20602.1 -2150.1 27344.2 -1743.7 27729.1 -1628.3 23113.0 -2230.93 15931.1 22101.3 -2149.6 28845.1 -1744.1 29231.2 -1628.4 24615.2 -2230.94 17433.6 23600.4 -2149.1 30346.0 -1744.5 30733.3 -1628.4 26117.4 -2230.95 18936.1 25059.5 -2148.5 31846.9 -1744.9 32235.4 -1628.5 27619.5 -2230.96 20438.5 26558.6 -2148.0 33347.8 -1745.3 33737.5 -1628.6 29121.7 -2230.97 21941.0 28057.8 -2147.5 34848.7 -1745.7 35239.6 -1628.7 30623.8 -2230.98 23443.4 29556.9 -2147.0 349.6 -1746.1 741.7 -1628.8 32126.0 -2230.89 24945.9 31056.0 -2146.4 1850.5 -1746.5 2243.8 -1628.9 33628.2 -2230.810 26448.4 32555.1 -2145.9 3351.4 -1746.9 3745.9 -1629.0 35130.3 -2230.811 27950.8 34054.3 -2145.4 4852.3 -1747.3 5248.0 -1629.1 632.5 -2230.812 29453.3 35553.4 -2144.8 6353.2 -1747.8 6750.1 -1629.2 2134.6 -2230.813 30955.8 1052.5 -2144.3 7854.0 -1748.2 8252.2 -1629.3 3636.8 -2230.814 32458.2 2551.7 -2143.8 9354.9 -1748.6 9754.3 -1629.4 5139.0 -2230.815 34000.7 4050.8 -2143.2 10855.8 -1749.0 11256.4 -1629.5 6641.1 -2230.816 35503.2 5549.9 -2142.7 12356.7 -1749.4 12758.5 -1629.5 8143.3 -2230.817 1005.6 7049.0 -2142.2 13857.6 -1749.8 14300.6 -1629.6 9645


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