The Nautical Almanac 2024

The Nautical Almanac 2024 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.

Part The Nautical Almanac Table of Contents Calendar, yearly 3 Day of Week & Day Number of Year 4-5 Links Time signals Bowditch Terrestrial Almanac Pub. No. 249 Pub. No. 229 Sight Reduction Forms and Methods Formulas 7-9 Page Explanation of The Nautical Almanac pages 10-13 Moon Phases (includes Moon in graphic form) 14-15 Conversion of Arc to Time 16 6 Note! Monthly almanac page numbers are found at the bottom of each page January 2 February 22 March 42 April 62 May 82 June 102 July 122 August 144 September 164 October 184 November 204 December 224 Note! Increments and Corrections are found on the pdf page numbers below Tables of Increments and Corrections for Sun, planets, Aries, Moon ( the yellow pages ) 261 Navigational Star Chart 281 fair winds, clear skies & following seas TheNauticalAlmanac.com Copyright 2018 TheNauticalAlmanac.com You are free to copy and distribute this document in its entirety freely ye received, freely give 2024 Table of Contents- regular version.odt

2024 January February March M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su 1 2 3 4 5 6 7 1 2 3 4 1 2 3 8 9 10 11 12 13 14 5 6 7 8 9 10 11 4 5 6 7 8 9 10 15 16 17 18 19 20 21 12 13 14 15 16 17 18 11 12 13 14 15 16 17 22 23 24 25 26 27 28 19 20 21 22 23 24 25 18 19 20 21 22 23 24 29 30 31 26 27 28 29 25 26 27 28 29 30 31 April May June M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su 1 2 3 4 5 6 7 1 2 3 4 5 1 2 8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9 15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16 22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23 29 30 27 28 29 30 31 24 25 26 27 28 29 30 July August September M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su 1 2 3 4 5 6 7 1 2 3 4 1 8 9 10 11 12 13 14 5 6 7 8 9 10 11 2 3 4 5 6 7 8 15 16 17 18 19 20 21 12 13 14 15 16 17 18 9 10 11 12 13 14 15 22 23 24 25 26 27 28 19 20 21 22 23 24 25 16 17 18 19 20 21 22 29 30 31 26 27 28 29 30 31 23 24 25 26 27 28 29 30 October November December M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su 1 2 3 4 5 6 1 2 3 1 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8 14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15 21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22 28 29 30 31 25 26 27 28 29 30 23 24 25 26 27 28 29 30 31

Day of Week, Week Number, Day of Year, Remaining Days of Year 2024 1 2 3 4 5 6 January February March April May June Day Day Day Day Day Day Day Day Day Day Day Day Day of of of of of of of of of of of of of Month Week Year Week Year Week Year Week Year Week Year Week Year 1 Mon 1 365 1 Thu 32 334 5 Fri 61 305 9 Mon 92 274 14 Wed 122 244 18 Sat 153 213 22 2 Tue 2 364 Fri 33 333 Sat 62 304 Tue 93 273 Thu 123 243 Sun 154 212 23 3 Wed 3 363 Sat 34 332 Sun 63 303 10 Wed 94 272 Fri 124 242 Mon 155 211 4 Thu 4 362 Sun 35 331 6 Mon 64 302 Thu 95 271 Sat 125 241 Tue 156 210 5 Fri 5 361 Mon 36 330 Tue 65 301 Fri 96 270 Sun 126 240 19 Wed 157 209 Days remaining Week number Days remaining Week number Days remaining 6 Sat 6 360 Tue 37 329 Wed 66 300 Sat 97 269 Mon 127 239 Thu 158 208 7 Sun 7 359 2 Wed 38 328 Thu 67 299 Sun 98 268 15 Tue 128 238 Fri 159 207 8 Mon 8 358 Thu 39 327 Fri 68 298 Mon 99 267 Wed 129 237 Sat 160 206 9 Tue 9 357 Fri 40 326 Sat 69 297 Tue 100 266 Thu 130 236 Sun 161 205 24 10 Wed 10 356 Sat 41 325 Sun 70 296 11 Wed 101 265 Fri 131 235 Mon 162 204 11 Thu 11 355 Sun 42 324 7 Mon 71 295 Thu 102 264 Sat 132 234 Tue 163 203 12 Fri 12 354 Mon 43 323 Tue 72 294 Fri 103 263 Sun 133 233 20 Wed 164 202 13 Sat 13 353 Tue 44 322 Wed 73 293 Sat 104 262 Mon 134 232 Thu 165 201 14 Sun 14 352 3 Wed 45 321 Thu 74 292 Sun 105 261 16 Tue 135 231 Fri 166 200 15 Mon 15 351 Thu 46 320 Fri 75 291 Mon 106 260 Wed 136 230 Sat 167 199 16 Tue 16 350 Fri 47 319 Sat 76 290 Tue 107 259 Thu 137 229 Sun 168 198 25 17 Wed 17 349 Sat 48 318 Sun 77 289 12 Wed 108 258 Fri 138 228 Mon 169 197 18 Thu 18 348 Sun 49 317 8 Mon 78 288 Thu 109 257 Sat 139 227 Tue 170 196 19 Fri 19 347 Mon 50 316 Tue 79 287 Fri 110 256 Sun 140 226 21 Wed 171 195 20 Sat 20 346 Tue 51 315 Wed 80 286 Sat 111 255 Mon 141 225 Thu 172 194 21 Sun 21 345 4 Wed 52 314 Thu 81 285 Sun 112 254 17 Tue 142 224 Fri 173 193 22 Mon 22 344 Thu 53 313 Fri 82 284 Mon 113 253 Wed 143 223 Sat 174 192 23 Tue 23 343 Fri 54 312 Sat 83 283 Tue 114 252 Thu 144 222 Sun 175 191 26 24 Wed 24 342 Sat 55 311 Sun 84 282 13 Wed 115 251 Fri 145 221 Mon 176 190 25 Thu 25 341 Sun 56 310 9 Mon 85 281 Thu 116 250 Sat 146 220 Tue 177 189 26 Fri 26 340 Mon 57 309 Tue 86 280 Fri 117 249 Sun 147 219 22 Wed 178 188 27 Sat 27 339 Tue 58 308 Wed 87 279 Sat 118 248 Mon 148 218 Thu 179 187 28 Sun 28 338 5 Wed 59 307 Thu 88 278 Sun 119 247 18 Tue 149 217 Fri 180 186 29 Mon 29 337 Thu 60 306 Fri 89 277 Mon 120 246 Wed 150 216 Sat 181 185 30 Tue 30 336 Sat 90 276 Tue 121 245 Thu 151 215 Sun 182 184 27 31 Wed 31 335 Sun 91 275 14 Fri 152 214 Week number Days remaining Week number Days remaining Week number Days remaining Week number

Day of Week, Week Number, Day of Year, Remaining Days of Year 2024 7 8 9 10 11 12 July August September October November December Day Day Day Day Day Day Day Day Day Day Day Day Day of of of of of of of of of of of of of Month Week Year Week Year Week Year Week Year Week Year Week Year 1 Mon 183 183 27 Thu 214 152 31 Sun 245 121 36 Tue 275 91 40 Fri 306 60 44 Sun 336 30 49 2 Tue 184 182 Fri 215 151 Mon 246 120 Wed 276 90 Sat 307 59 Mon 337 29 3 Wed 185 181 Sat 216 150 Tue 247 119 Thu 277 89 Sun 308 58 45 Tue 338 28 4 Thu 186 180 Sun 217 149 32 Wed 248 118 Fri 278 88 Mon 309 57 Wed 339 27 5 Fri 187 179 Mon 218 148 Thu 249 117 Sat 279 87 Tue 310 56 Thu 340 26 Days remaining Week number Days remaining Week number Days remaining 6 Sat 188 178 Tue 219 147 Fri 250 116 Sun 280 86 41 Wed 311 55 Fri 341 25 7 Sun 189 177 28 Wed 220 146 Sat 251 115 Mon 281 85 Thu 312 54 Sat 342 24 8 Mon 190 176 Thu 221 145 Sun 252 114 37 Tue 282 84 Fri 313 53 Sun 343 23 50 9 Tue 191 175 Fri 222 144 Mon 253 113 Wed 283 83 Sat 314 52 Mon 344 22 10 Wed 192 174 Sat 223 143 Tue 254 112 Thu 284 82 Sun 315 51 46 Tue 345 21 11 Thu 193 173 Sun 224 142 33 Wed 255 111 Fri 285 81 Mon 316 50 Wed 346 20 12 Fri 194 172 Mon 225 141 Thu 256 110 Sat 286 80 Tue 317 49 Thu 347 19 13 Sat 195 171 Tue 226 140 Fri 257 109 Sun 287 79 42 Wed 318 48 Fri 348 18 14 Sun 196 170 29 Wed 227 139 Sat 258 108 Mon 288 78 Thu 319 47 Sat 349 17 15 Mon 197 169 Thu 228 138 Sun 259 107 38 Tue 289 77 Fri 320 46 Sun 350 16 51 16 Tue 198 168 Fri 229 137 Mon 260 106 Wed 290 76 Sat 321 45 Mon 351 15 17 Wed 199 167 Sat 230 136 Tue 261 105 Thu 291 75 Sun 322 44 47 Tue 352 14 18 Thu 200 166 Sun 231 135 34 Wed 262 104 Fri 292 74 Mon 323 43 Wed 353 13 19 Fri 201 165 Mon 232 134 Thu 263 103 Sat 293 73 Tue 324 42 Thu 354 12 20 Sat 202 164 Tue 233 133 Fri 264 102 Sun 294 72 43 Wed 325 41 Fri 355 11 21 Sun 203 163 30 Wed 234 132 Sat 265 101 Mon 295 71 Thu 326 40 Sat 356 10 22 Mon 204 162 Thu 235 131 Sun 266 100 39 Tue 296 70 Fri 327 39 Sun 357 9 52 23 Tue 205 161 Fri 236 130 Mon 267 99 Wed 297 69 Sat 328 38 Mon 358 8 24 Wed 206 160 Sat 237 129 Tue 268 98 Thu 298 68 Sun 329 37 48 Tue 359 7 25 Thu 207 159 Sun 238 128 35 Wed 269 97 Fri 299 67 Mon 330 36 Wed 360 6 26 Fri 208 158 Mon 239 127 Thu 270 96 Sat 300 66 Tue 331 35 Thu 361 5 27 Sat 209 157 Tue 240 126 Fri 271 95 Sun 301 65 44 Wed 332 34 Fri 362 4 28 Sun 210 156 31 Wed 241 125 Sat 272 94 Mon 302 64 Thu 333 33 Sat 363 3 29 Mon 211 155 Thu 242 124 Sun 273 93 40 Tue 303 63 Fri 334 32 Sun 364 2 1 30 Tue 212 154 Fri 243 123 Mon 274 92 Wed 304 62 Sat 335 31 Mon 365 1 31 Wed 213 153 Sat 244 122 Thu 305 61 Tue 366 0 Week number Days remaining Week number Days remaining Week number Days remaining Week number

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) WWVH ( Kauai, Hawaii) CHU (Ottawa, Canada) 2.5, 5, 10, 15, 20 MHz (male voice) 2.5, 5, 10, 15 MHz (female voice) 3330, 7850, and 14,670 khz (USB) Bowditch 2017- The American Practical Navigator https://thenauticalalmanac.com/2017_bowditch-_american_practical_navigator.html Organized in a convenient and useful manner. Download the Chapters, Parts or Tables you want or the entire work. The Terrestrial Almanac Annual calendar and day planner for the entire year. https://thenauticalalmanac.com/terrestrialalmanac.html Pub. No. 249 Download individual Latitudes or Volumes https://thenauticalalmanac.com/pub. No. 249.html Pub. No. 229 Download individual Volumes covering a range of Latitudes https://thenauticalalmanac.com/pub. No. 229.html Sight Reduction Forms & Methods https://www.thenauticalalmanac.com/methods.html Time Signals and Links.odt

Celestial Navigation useful Formulas About Calculators The Casio fx-300es Plus is an inexpensive calculator at about 11 USD. It features natural input so you enter a formula just as it would be written on paper. Entering degrees, minutes and seconds is very simple. The Casio fx-300es Plus has 9 memory locations and you can review many of the previous entries you make using a special key on the calculator. Determine Hc using a calculator The formula Hc = asin[sin(declination)*sin(latitude) + cos(latitude)*cos(declination)*cos(lha)] As it would be entered into the Casio calculator Note- Sin -1 is the arc-sin key Sin -1 (Sin(Ap Latitude) x Sin(Declination) + Cos(Ap Latitude) x Cos(Declination) x Cos(LHA) Declination is the declination of the Celestial body you're observing. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it. Latitude is the Latitude where you are, think you are or where you would like to determine Hc for. Typically, you'll be using an Assumed position Latitude or Ap Latitude as it's called. In Western Longitudes LHA is the Local Hour Angle which is derived from subtracting your whole number value of Longitude (Assumed or otherwise) from the whole number value of GHA (Greenwich Hour Angle). In Eastern Longitudes LHA, in Eastern Longitudes, is determined by rounding up the GHA figure to the next highest whole degree figure then adding the DR. Longitude to GHA to obtain LHA. Only add the whole degree DR. Longitude figure to the rounded up whole degree GHA figure. If the resulting LHA figure is greater than 360 then subtract 360 from the figure to obtain the LHA. Why would you want to determine Hc using a calculator? It's faster than looking up in Pub. No. 249 and Pub. No. 229, highly accurate and you don't need a lot of printed out pages of Latitudes from Pub. No. 249 and Pub. No. 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... Note- Cos -1 is the arc-cosine key Cos -1 ((Sin(Declination) Sin(AP Latitude) x Sin(Hc)) (Cos(AP Latitude) x Cos(Hc) If the heavenly body's declination is Contrary name to the Ap Latitude enter a negative sign before it. To obtain Zn see the rules below for Northern and Southern latitudes. Determine Z independent of Hc L is latitude and d is declination. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it. As it would be entered into the Casio calculator... Note- tan -1 is the arc-tangent key Z = tan -1 ((sin (LHA) (cos(ap latitude) x tan(declination) (sin(ap latitude) x cos(lha)) The sign convention used in the calculation of this azimuth formula is as follows: from Bowditch Chapter 22 CALCULATIONS AND CONVERSIONS, page 331 1) If latitude and declination are of contrary name, declination is treated as a negative quantity; 2) If the local hour angle is greater than 180, it is treated as a negative quantity. If the azimuth angle as calculated is negative, add 180 to obtain the desired value. To obtain Zn apply the following rules In Northern Latitudes LHA greater than 180...Zn=Z LHA less than 180...Zn=360 Z In Southern Latitudes LHA greater than 180...Zn= 180 Z LHA less than 180...Zn= 180 + Z Determine Refraction 0.96 Tan of (Ha) Gives good results down to about 8 from the horizon but not less. Refraction (good overall formula from 90 to below 8 from the horizon)

As it would be entered into the Casio calculator... 1 Tan((Ha + (7.31 (Ha + 4.4)) Both refraction formulas use the standard pressure and temperature of; 1010 mb 10 C 29.83 in 53 F Determine Dip using feet 0.97 x (Square Root of He (Height of Eye) in feet) Determine Dip using meters 1.76 x (Square Root of He (Height of eye) in meters ) Rules to Calculate Latitude using the Sun- Noon-Sight 1- Latitude and declination Same name but latitude is greater than declination: Latitude= (90º Ho) + declination 2- Latitude and declination Same name but declination greater than latitude: Latitude= Declination (90º Ho) 3- Latitude and declination Contrary name: Latitude= (90 o Ho) Declination To get AP longitude (needed for plotting the LOP) In Western longitudes Combine the DR Longitude figure with only the minutes (of arc) of the total GHA figure. The Ap λ figure will be used when plotting the LOP on the UPS. In Eastern longitudes In Eastern longitudes the Ap λ is determined as follows; DR longitude + (0 60' minus GHA minutes of arc) Example- E 075 + (0 60' 0 02')= 75 58' Ap longitude fair winds...clear skies and following seas TheNauticalAlmanac.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 4a 5 GHA v correction and Declination d correction. The amount to correct v and d for is determined by the minutes and seconds of time of the planet observation and is found in the Increments and Corrections pages of The Nautical Almanac. The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paper in the USNO published Nautical Almanac. m- is the magnitude or brightness of the planet. A bright planet will have a minus sign beside the figure. A fainter planet will have no sign beside its magnitude figure. Stars- SHA, Sidereal Hour Angle, and Declination. 59 stars are listed. Typically, only 57 stars are used for navigational purposes in both Northern and Southern Hemispheres. 6 Mer. pass- planet meridian passage time at the Prime Meridian- Greenwich- 0. Time figure is GMT/UT. 7 SHA- planet SHA at the time of meridian passage at the Prime Meridian- Greenwich- 0. Planet SHA is calculated by subtracting planet GHA from Aries GHA. Time figure is GMT/UT. 8 Horizontal parallax- for Venus and Mars. 9 Date based on GMT/UT 10 Time based on GMT/UT (this is just integral hour only) 11 SD- Semi-diameter of the Sun. One half of the angular width of the Sun as observed on earth. 12 13 d- the amount the declination of the Sun changes per hour. If there's a minus sign beside the declination figure in the Dec column then the Sun is in the Southern hemisphere. The Moon's GHA v correction. The amount to correct the Moon's GHA using v is determined by the minutes and seconds of time of the Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paper in the USNO published Nautical Almanac. 14 SD- Semi-diameter of the Moon. One half of the angular width of the Moon, as observed on earth. The Moon's declination d correction. It's the amount of declination the Moon changes per hour. However the amount to correct the Moon's declination using d is determined by the minutes and seconds of time of the Moon's observation and is found in the Increments and Corrections pages of The Nautical Almanac. The d correction is algebraically added. 15 An easy way to determine whether to add or subtract the d correction found in the Increments and Corrections pages is by examining the Moon's declination trend in The Nautical Almanac. If the declination is increasing (regardless of its sign + or -) from the integral hour of the observation you made then add the d increment and increase the value of the declination. If the declination is decreasing (regardless of its sign + or -) from the integral hour of the observation you made then subtract the d increment and decrease the value of the declination. Make sure to put the sign back on the corrected declination so you know which hemisphere the Moon's in. 16 The Increments and Corrections pages are also known as The Yellow Pages as that's the color of the paper in the USNO published Nautical Almanac. HP- the angle between two lines, one from the center of the Moon to the center of the Earth, the other from the center of the Moon to the edge of the Earth. This angle is about 56', but it changes slightly from day to day as the distance to the Moon changes along its elliptical path around the Earth. Source- starpath.com 17 Sun- Eqn. of Time- Equation of Time is the difference between GMT/UT and LAN at Greenwich. The figures listed are for GMT/UT at 00 h and 12 h. If you look at Mer. Pass just to the right of the Eqn. of Time you'll find, approximately, when the Sun crosses The Prime Meridian (at Greenwich). The figures in the 12 h column indicate, approximately, how many minutes and seconds are subtracted, or added, to 12 to determine when Local Apparent Noon is at The Prime Meridian. You can calculate, approximately, when LAN is at your Longitude by adding, or subtracting the amount of time difference between you and

Greenwich and the Equation of Time. 17 continued 18 19 Example- May 30, 2016. Mer. Pass is at UT 11:57. 12 h is 02:25. This means subtract 2 minutes and 25 seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075 meridian passage would occur at about- 12 hours + 5 hours MINUS 2 minutes and 25 seconds, or UT 16:57:35. Sun- Mer. Pass just to the right of the Eqn. of Time is the approximate GMT/UT when the Sun crosses The Prime Meridian (at Greenwich) for that specific date. Moon- Mer. Pass- is the approximate GMT/UT when the Moon crosses The Prime Meridian (at Greenwich) or The International Date Line for that specific date. Upper means the GMT/UT when the Moon crosses The Prime Meridian (Greenwich) and Lower means the GMT/UT when the Moon crosses The International Date Line (180 ). 20 Moon- Age- this is the number of days past a new Moon. Typically, there are 29 days in a lunar month. 20 continued 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 21* see note at bottom 22* see note at bottom 22* see note at bottom Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of the Moon is illuminated. (morning) - Naut.- the approximate GMT/UT when morning Nautical begins. Nautical twilight is the time when the center of the sun is 12 below the horizon and the horizon is visible enough to be used for marine sextant observations. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (morning) - Civil- the approximate GMT/UT of morning civil twilight starts when the geometric center of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. Sunrise- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (evening) - Naut.- the approximate GMT/UT of when evening Nautical ends. Nautical twilight is the time when the center of the sun is 12 below the horizon and the horizon is no longer visible enough to be used for sextant observations. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. (evening) - Civil- the approximate GMT/UT of evening civil twilight that ends when the geometric center of the sun is 6 below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. Sunset- the approximate GMT/UT when the Sun is 0 50' (semi-diameter plus refraction) below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time. Moonrise- the approximate GMT/UT when the Moon is about 0 05' to 0 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day. The USNO has a more detailed explanation of this here- 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 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

2024 Moon Phases Date and Time (GMT/Universal Time) New Moon First Quarter Full Moon Last Quarter -- -- -- January 04 03:30 January 11 11:57 January 18 03:52 January 25 17:54 February 02 23:18 February 09 22:59 February 16 15:01 February 24 12:30 March 03 15:23 March 10 09:00 March 17 04:11 March 25 07:00 April 02 03:15 April 08 18:21 April 15 19:13 April 23 23:49 May 01 11:27 May 08 03:22 May 15 11:48 May 23 13:53 May 30 17:13 June 06 12:38 June 14 05:18 June 22 01:08 June 28 21:53 July 05 22:57 July 13 22:49 July 21 10:17 July 28 02:51 August 04 11:13 August 12 15:19 August 19 18:26 August 26 09:26 September 03 01:55 September 11 06:05 September 18 02:34 September 24 18:50 October 02 18:49 October 10 18:55 October 17 11:26 October 24 08:03 November 01 12:47 November 09 05:55 November 15 21:28 November 23 01:28 December 01 06:21 December 08 15:26 December 15 09:02 December 22 22:18 December 30 22:27 -- -- -- Add or subtract your time diference from Greenwich to determine local time and date of Moon phase. Moon Phases.odt

2024 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 1 1 Mo Th Fr Mo We Sa Mo Th Su Tu Fr Su 3 3 We Sa Su We Fr Mo We Sa Tu Th Su Tu 5 5 Fr Mo Tu Fr Su We Fr Mo Th Sa Tu Th 7 7 Su We Th Su Tu Fr Su We Sa Mo Th Sa 9 9 Tu Fr Sa Tu Th Su Tu Fr Mo We Sa Mo 11 11 Th Su Mo Th Sa Tu Th Su We Fr Mo We 13 13 Sa Tu We Sa Mo Th Sa Tu Fr Su We Fr 15 15 Mo Th Fr Mo We Sa Mo Th Su Tu Fr Su 17 17 We Sa Su We Fr Mo We Sa Tu Th Su Tu 19 19 Fr Mo Tu Fr Su We Fr Mo Th Sa Tu Th 21 21 Su We Th Su Tu Fr Su We Sa Mo Th Sa 23 23 Tu Fr Sa Tu Th Su Tu Fr Mo We Sa Mo 25 25 Th Su Mo Th Sa Tu Th Su We Fr Mo We 27 27 Sa Tu We Sa Mo Th Sa Tu Fr Su We Fr 29 29 Mo Th Fr Mo We Sa Mo Th Su Tu Fr Su 31 31 We Su Fr We Sa Th Tu

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 0.00 1 0 04 61 4 04 121 8 04 181 12 04 241 16 04 301 20 04 1 0 04 1 0.07 2 0 08 62 4 08 122 8 08 182 12 08 242 16 08 302 20 08 2 0 08 2 0.13 3 0 12 63 4 12 123 8 12 183 12 12 243 16 12 303 20 12 3 0 12 3 0.20 4 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 0.33 6 0 24 66 4 24 126 8 24 186 12 24 246 16 24 306 20 24 6 0 24 6 0.40 7 0 28 67 4 28 127 8 28 187 12 28 247 16 28 307 20 28 7 0 28 7 0.47 8 0 32 68 4 32 128 8 32 188 12 32 248 16 32 308 20 32 8 0 32 8 0.53 9 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 0.67 11 0 44 71 4 44 131 8 44 191 12 44 251 16 44 311 20 44 11 0 44 11 0.73 12 0 48 72 4 48 132 8 48 192 12 48 252 16 48 312 20 48 12 0 48 12 0.80 13 0 52 73 4 52 133 8 52 193 12 52 253 16 52 313 20 52 13 0 52 13 0.87 14 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 1.00 16 1 04 76 5 04 136 9 04 196 13 04 256 17 04 316 21 04 16 1 04 16 1.07 17 1 08 77 5 08 137 9 08 197 13 08 257 17 08 317 21 08 17 1 08 17 1.13 18 1 12 78 5 12 138 9 12 198 13 12 258 17 12 318 21 12 18 1 12 18 1.20 19 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 1.33 21 1 24 81 5 24 141 9 24 201 13 24 261 17 24 321 21 24 21 1 24 21 1.40 22 1 28 82 5 28 142 9 28 202 13 28 262 17 28 322 21 28 22 1 28 22 1.47 23 1 32 83 5 32 143 9 32 203 13 32 263 17 32 323 21 32 23 1 32 23 1.53 24 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 1.67 26 1 44 86 5 44 146 9 44 206 13 44 266 17 44 326 21 44 26 1 44 26 1.73 27 1 48 87 5 48 147 9 48 207 13 48 267 17 48 327 21 48 27 1 48 27 1.80 28 1 52 88 5 52 148 9 52 208 13 52 268 17 52 328 21 52 28 1 52 28 1.87 29 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 2.00 31 2 04 91 6 04 151 10 04 211 14 04 271 18 04 331 22 04 31 2 04 31 2.07 32 2 08 92 6 08 152 10 08 212 14 08 272 18 08 332 22 08 32 2 08 32 2.13 33 2 12 93 6 12 153 10 12 213 14 12 273 18 12 333 22 12 33 2 12 33 2.20 34 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 2.33 36 2 24 96 6 24 156 10 24 216 14 24 276 18 24 336 22 24 36 2 24 36 2.40 37 2 28 97 6 28 157 10 28 217 14 28 277 18 28 337 22 28 37 2 28 37 2.47 38 2 32 98 6 32 158 10 32 218 14 32 278 18 32 338 22 32 38 2 32 38 2.53 39 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 2.67 41 2 44 101 6 44 161 10 44 221 14 44 281 18 44 341 22 44 41 2 44 41 2.73 42 2 48 102 6 48 162 10 48 222 14 48 282 18 48 342 22 48 42 2 48 42 2.80 43 2 52 103 6 52 163 10 52 223 14 52 283 18 52 343 22 52 43 2 52 43 2.87 44 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 3.00 46 3 04 106 7 04 166 11 04 226 15 04 286 19 04 346 23 04 46 3 04 46 3.07 47 3 08 107 7 08 167 11 08 227 15 08 287 19 08 347 23 08 47 3 08 47 3.13 48 3 12 108 7 12 168 11 12 228 15 12 288 19 12 348 23 12 48 3 12 48 3.20 49 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 3.33 51 3 24 111 7 24 171 11 24 231 15 24 291 19 24 351 23 24 51 3 24 51 3.40 52 3 28 112 7 28 172 11 28 232 15 28 292 19 28 352 23 28 52 3 28 52 3.47 53 3 32 113 7 32 173 11 32 233 15 32 293 19 32 353 23 32 53 3 32 53 3.53 54 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 3.67 56 3 44 116 7 44 176 11 44 236 15 44 296 19 44 356 23 44 56 3 44 56 3.73 57 3 48 117 7 48 177 11 48 237 15 48 297 19 48 357 23 48 57 3 48 57 3.80 58 3 52 118 7 52 178 11 52 238 15 52 298 19 52 358 23 52 58 3 52 58 3.87 59 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 h= hours of time m= minutes of time s = seconds of time ' = minutes of arc = seconds of arc TheNauticalAlmanac.com

January 01, 02,03 (Mon., Tue., Wed.) Aries Venus Mars Jupiter Saturn Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 100 09.1 219 12.0-18 46.2 193 05.8-23 57.7 66 27.9 12 15.8 124 22.4-11 50.3 1 115 11.5 234 11.4-18 46.8 208 06.2-23 57.7 81 30.4 12 15.9 139 24.6-11 50.3 2 130 14.0 249 10.7-18 47.5 223 06.7-23 57.8 96 32.9 12 15.9 154 26.9-11 50.2 3 145 16.5 264 10.0-18 48.1 238 07.1-23 57.9 111 35.3 12 15.9 169 29.1-11 50.1 4 160 18.9 279 09.3-18 48.8 253 07.5-23 57.9 126 37.8 12 15.9 184 31.4-11 50.0 5 175 21.4 294 08.7-18 49.4 268 08.0-23 58.0 141 40.2 12 15.9 199 33.6-11 49.9 6 190 23.9 309 08.0-18 50.1 283 08.4-23 58.0 156 42.7 12 15.9 214 35.9-11 49.8 7 205 26.3 324 07.3-18 50.8 298 08.9-23 58.1 171 45.2 12 15.9 229 38.2-11 49.8 8 220 28.8 339 06.7-18 51.4 313 09.3-23 58.2 186 47.6 12 16.0 244 40.4-11 49.7 9 235 31.3 354 06.0-18 52.1 328 09.7-23 58.2 201 50.1 12 16.0 259 42.7-11 49.6 10 250 33.7 9 05.3-18 52.7 343 10.2-23 58.3 216 52.5 12 16.0 274 44.9-11 49.5 11 265 36.2 24 04.6-18 53.4 358 10.6-23 58.3 231 55.0 12 16.0 289 47.2-11 49.4 12 280 38.6 39 04.0-18 54.0 13 11.0-23 58.4 246 57.5 12 16.0 304 49.4-11 49.3 13 295 41.1 54 03.3-18 54.7 28 11.5-23 58.5 261 59.9 12 16.0 319 51.7-11 49.3 14 310 43.6 69 02.6-18 55.3 43 11.9-23 58.5 277 02.4 12 16.1 334 53.9-11 49.2 15 325 46.0 84 01.9-18 56.0 58 12.3-23 58.6 292 04.8 12 16.1 349 56.2-11 49.1 16 340 48.5 99 01.3-18 56.6 73 12.8-23 58.6 307 07.3 12 16.1 4 58.4-11 49.0 17 355 51.0 114 00.6-18 57.3 88 13.2-23 58.7 322 09.7 12 16.1 20 00.7-11 48.9 18 10 53.4 128 59.9-18 57.9 103 13.6-23 58.7 337 12.2 12 16.1 35 02.9-11 48.8 19 25 55.9 143 59.2-18 58.5 118 14.1-23 58.8 352 14.6 12 16.1 50 05.2-11 48.8 20 40 58.4 158 58.5-18 59.2 133 14.5-23 58.8 7 17.1 12 16.2 65 07.4-11 48.7 21 56 00.8 173 57.9-18 59.8 148 14.9-23 58.9 22 19.5 12 16.2 80 09.7-11 48.6 22 71 03.3 188 57.2-19 00.5 163 15.4-23 58.9 37 22.0 12 16.2 95 11.9-11 48.5 23 86 05.7 203 56.5-19 01.1 178 15.8-23 59.0 52 24.5 12 16.2 110 14.2-11 48.4 Mer.pass.:17:16 v-0.7 d-0.7 m-3.9 v0.4 d-0.1 m1.4 v2.5 d0.0 m-2.5 v2.3 d0.1 m0.9 Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 101 08.2 218 55.8-19 01.8 193 16.2-23 59.1 67 26.9 12 16.2 125 16.5-11 48.3 1 116 10.7 233 55.1-19 02.4 208 16.7-23 59.1 82 29.4 12 16.2 140 18.7-11 48.3 2 131 13.1 248 54.5-19 03.0 223 17.1-23 59.2 97 31.8 12 16.3 155 21.0-11 48.2 3 146 15.6 263 53.8-19 03.7 238 17.6-23 59.2 112 34.3 12 16.3 170 23.2-11 48.1 4 161 18.1 278 53.1-19 04.3 253 18.0-23 59.3 127 36.7 12 16.3 185 25.5-11 48.0 5 176 20.5 293 52.4-19 04.9 268 18.4-23 59.3 142 39.2 12 16.3 200 27.7-11 47.9 6 191 23.0 308 51.7-19 05.6 283 18.9-23 59.4 157 41.6 12 16.3 215 30.0-11 47.8 7 206 25.5 323 51.0-19 06.2 298 19.3-23 59.4 172 44.1 12 16.4 230 32.2-11 47.7 8 221 27.9 338 50.4-19 06.8 313 19.7-23 59.5 187 46.5 12 16.4 245 34.5-11 47.7 9 236 30.4 353 49.7-19 07.5 328 20.2-23 59.5 202 49.0 12 16.4 260 36.7-11 47.6 10 251 32.9 8 49.0-19 08.1 343 20.6-23 59.5 217 51.4 12 16.4 275 39.0-11 47.5 11 266 35.3 23 48.3-19 08.7 358 21.0-23 59.6 232 53.9 12 16.4 290 41.2-11 47.4 12 281 37.8 38 47.6-19 09.4 13 21.4-23 59.6 247 56.3 12 16.4 305 43.5-11 47.3 13 296 40.2 53 46.9-19 10.0 28 21.9-23 59.7 262 58.8 12 16.5 320 45.7-11 47.2 14 311 42.7 68 46.2-19 10.6 43 22.3-23 59.7 278 01.2 12 16.5 335 48.0-11 47.2 15 326 45.2 83 45.5-19 11.3 58 22.7-23 59.8 293 03.7 12 16.5 350 50.2-11 47.1 16 341 47.6 98 44.9-19 11.9 73 23.2-23 59.8 308 06.1 12 16.5 5 52.5-11 47.0 17 356 50.1 113 44.2-19 12.5 88 23.6-23 59.9 323 08.6 12 16.5 20 54.7-11 46.9 18 11 52.6 128 43.5-19 13.1 103 24.0-23 59.9 338 11.0 12 16.6 35 57.0-11 46.8 19 26 55.0 143 42.8-19 13.8 118 24.5-23 60.0 353 13.4 12 16.6 50 59.2-11 46.7 20 41 57.5 158 42.1-19 14.4 133 24.9-24 00.0 8 15.9 12 16.6 66 01.5-11 46.6 21 56 60.0 173 41.4-19 15.0 148 25.3-24 00.0 23 18.3 12 16.6 81 03.7-11 46.6 22 72 02.4 188 40.7-19 15.6 163 25.8-24 00.1 38 20.8 12 16.6 96 06.0-11 46.5 23 87 04.9 203 40.0-19 16.2 178 26.2-24 00.1 53 23.2 12 16.7 111 08.2-11 46.4 Mer.pass.:17:12 v-0.7 d-0.6 m-3.9 v0.4 d-0.1 m1.4 v2.5 d0.0 m-2.4 v2.3 d0.1 m0.9 Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 102 07.4 218 39.3-19 16.9 193 26.6-24 00.2 68 25.7 12 16.7 126 10.5-11 46.3 1 117 09.8 233 38.6-19 17.5 208 27.1-24 00.2 83 28.1 12 16.7 141 12.7-11 46.2 2 132 12.3 248 37.9-19 18.1 223 27.5-24 00.3 98 30.6 12 16.7 156 15.0-11 46.1 3 147 14.7 263 37.2-19 18.7 238 27.9-24 00.3 113 33.0 12 16.7 171 17.2-11 46.1 4 162 17.2 278 36.5-19 19.3 253 28.4-24 00.3 128 35.4 12 16.8 186 19.5-11 46.0 5 177 19.7 293 35.8-19 20.0 268 28.8-24 00.4 143 37.9 12 16.8 201 21.7-11 45.9 6 192 22.1 308 35.1-19 20.6 283 29.2-24 00.4 158 40.3 12 16.8 216 24.0-11 45.8 7 207 24.6 323 34.5-19 21.2 298 29.7-24 00.4 173 42.8 12 16.8 231 26.2-11 45.7 8 222 27.1 338 33.8-19 21.8 313 30.1-24 00.5 188 45.2 12 16.8 246 28.5-11 45.6 9 237 29.5 353 33.1-19 22.4 328 30.5-24 00.5 203 47.7 12 16.9 261 30.7-11 45.5 10 252 32.0 8 32.4-19 23.0 343 30.9-24 00.6 218 50.1 12 16.9 276 33.0-11 45.5 11 267 34.5 23 31.7-19 23.6 358 31.4-24 00.6 233 52.5 12 16.9 291 35.2-11 45.4 12 282 36.9 38 31.0-19 24.2 13 31.8-24 00.6 248 55.0 12 16.9 306 37.5-11 45.3 13 297 39.4 53 30.3-19 24.8 28 32.2-24 00.7 263 57.4 12 17.0 321 39.7-11 45.2 14 312 41.8 68 29.6-19 25.5 43 32.7-24 00.7 278 59.9 12 17.0 336 42.0-11 45.1 15 327 44.3 83 28.9-19 26.1 58 33.1-24 00.7 294 02.3 12 17.0 351 44.2-11 45.0 16 342 46.8 98 28.2-19 26.7 73 33.5-24 00.8 309 04.7 12 17.0 6 46.4-11 44.9 17 357 49.2 113 27.5-19 27.3 88 34.0-24 00.8 324 07.2 12 17.0 21 48.7-11 44.9 18 12 51.7 128 26.8-19 27.9 103 34.4-24 00.8 339 09.6 12 17.1 36 50.9-11 44.8 19 27 54.2 143 26.1-19 28.5 118 34.8-24 00.9 354 12.1 12 17.1 51 53.2-11 44.7 20 42 56.6 158 25.3-19 29.1 133 35.2-24 00.9 9 14.5 12 17.1 66 55.4-11 44.6 21 57 59.1 173 24.6-19 29.7 148 35.7-24 00.9 24 16.9 12 17.1 81 57.7-11 44.5 22 73 01.6 188 23.9-19 30.3 163 36.1-24 01.0 39 19.4 12 17.2 96 59.9-11 44.4 23 88 04.0 203 23.2-19 30.9 178 36.5-24 01.0 54 21.8 12 17.2 112 02.2-11 44.3 Mer.pass.:17:08 v-0.7 d-0.6 m-3.9 v0.4 d-0.0 m1.4 v2.4 d0.0 m-2.4 v2.2 d0.1 m1.0 Stars SHA Dec Alpheratz 357 35.7 29 13.5 Ankaa 353 08.0-42 10.8 Schedar 349 32.0 56 40.4 Diphda 348 48.0-17 51.5 Achernar 335 20.7-57 07.2 Hamal 327 52.0 23 34.7 Polaris 314 09.4 89 22.2 Akamar 315 12.1-40 12.7 Menkar 314 06.8 4 11.0 Mirfak 308 29.1 49 56.9 Aldebaran 290 40.3 16 33.5 Rigel 281 04.4-8 10.5 Capella 280 22.7 46 01.4 Bellatrix 278 23.5 6 22.3 Elnath 278 02.6 28 37.7 Alnilam 275 38.3-1 11.2 Betelgeuse 270 52.7 7 24.7 Canopus 263 52.2-52 42.5 Sirius 258 26.5-16 44.7 Adara 255 06.1-29 00.2 Procyon 244 51.3 5 10.0 Pollux 243 17.9 27 58.1 Avior 234 14.5-59 35.0 Suhail 222 46.6-43 31.6 Miaplacidus 221 37.7-69 48.7 Alphard 217 48.3-8 45.7 Regulus 207 35.1 11 51.0 Dubhe 193 41.7 61 37.0 Denebola 182 25.7 14 26.2 Gienah 175 44.4-17 40.4 Acrux 173 01.0-63 13.6 Gacrux 171 52.6-57 14.6 Alioth 166 13.8 55 49.5 Spica 158 23.3-11 17.1 Alcaid 152 52.8 49 11.4 Hadar 148 37.5-60 29.0 Menkent 147 58.8-36 29.1 Arcturus 145 48.7 19 03.6 Rigil Kent. 139 41.8-60 55.8 Zubenelg. 136 57.2-16 08.4 Kochab 137 20.4 74 03.1 Alphecca 126 04.7 26 37.9 Antares 112 17.2-26 29.0 Atria 107 12.7-69 04.1 Sabik 102 04.1-15 45.3 Shaula 96 11.9-37 07.2 Rasalhague 95 59.7 12 32.5 Etamin 90 43.1 51 29.0 Kaus Aust. 83 34.0-34 22.4 Vega 80 34.3 38 48.2 Nunki 75 49.2-26 16.1 Altair 62 01.2 8 55.8 Peacock 53 07.6-56 39.6 Deneb 49 26.8 45 22.0 Enif 33 39.9 9 59.1 Alnair 27 34.3-46 50.9 Fomalhaut 15 15.7-29 29.9 Scheat 13 46.2 28 12.8 Markab 13 30.9 15 20.1 2024/1/1 SHA Mer.pass Venus 119 03.0 09:24 Mars 92 56.7 11:07 Jupiter 326 18.9 19:31 Saturn 24 13.3 15:40 2024/1/2 SHA Mer.pass Venus 117 47.6 09:25 Mars 92 08.0 11:07 Jupiter 326 18.7 19:27 Saturn 24 08.2 15:37 2024/1/3 SHA Mer.pass Venus 116 32.0 09:26 Mars 91 19.3 11:06 Jupiter 326 18.3 19:23 Saturn 24 03.1 15:33 Horizontal paralax Venus: 0.1 Mars: 0.1 2

2024 January 01 to Jan. 03 h Sun Moon Mon GHA Dec GHA ν Dec d HP 0 179 13.8-23 03.5 301 01.9 16.0 12 37.6-12.7 54.2 1 194 13.5-23 03.3 315 37.0 16.1 12 24.9-12.8 54.2 2 209 13.2-23 03.1 330 12.1 16.1 12 12.1-12.8 54.2 3 224 12.9-23 02.9 344 47.3 16.2 11 59.3-12.8 54.2 4 239 12.6-23 02.7 359 22.5 16.2 11 46.4-12.9 54.2 5 254 12.3-23 02.5 13 57.8 16.3 11 33.5-12.9 54.2 6 269 12.0-23 02.3 28 33.1 16.3 11 20.6-13.0 54.2 7 284 11.7-23 02.1 43 08.5 16.4 11 07.6-13.0 54.2 8 299 11.4-23 01.9 57 43.9 16.4 10 54.6-13.0 54.2 9 314 11.1-23 01.7 72 19.3 16.5 10 41.6-13.1 54.2 10 329 10.8-23 01.5 86 54.8 16.5 10 28.5-13.1 54.2 11 344 10.6-23 01.3 101 30.4 16.6 10 15.3-13.1 54.2 12 359 10.3-23 01.1 116 05.9 16.6 10 02.2-13.2 54.2 13 14 10.0-23 00.9 130 41.6 16.6 9 49.0-13.2 54.2 14 29 09.7-23 00.7 145 17.2 16.7 9 35.7-13.2 54.2 15 44 09.4-23 00.5 159 52.9 16.7 9 22.5-13.3 54.2 16 59 09.1-23 00.3 174 28.6 16.7 9 09.2-13.3 54.2 17 74 08.8-23 00.1 189 04.4 16.8 8 55.8-13.3 54.2 18 89 08.5-22 59.9 203 40.2 16.8 8 42.5-13.4 54.2 19 104 08.2-22 59.7 218 16.0 16.8 8 29.1-13.4 54.2 20 119 07.9-22 59.5 232 51.9 16.9 8 15.7-13.4 54.2 21 134 07.6-22 59.3 247 27.8 16.9 8 02.2-13.5 54.2 22 149 07.3-22 59.1 262 03.7 16.9 7 48.7-13.5 54.2 23 164 07.0-22 58.9 276 39.7 17.0 7 35.2-13.5 54.2 SD.=16.3 d=0.2 S.D.=14.8 Tue GHA Dec GHA ν Dec d HP 0 179 06.7-22 58.7 291 15.6 17.0 7 21.7-13.5 54.2 1 194 06.4-22 58.5 305 51.7 17.0 7 08.1-13.6 54.2 2 209 06.1-22 58.2 320 27.7 17.0 6 54.6-13.6 54.2 3 224 05.8-22 58.0 335 03.7 17.1 6 40.9-13.6 54.2 4 239 05.5-22 57.8 349 39.8 17.1 6 27.3-13.6 54.2 5 254 05.3-22 57.6 4 15.9 17.1 6 13.6-13.7 54.2 6 269 05.0-22 57.4 18 52.1 17.1 5 60.0-13.7 54.2 7 284 04.7-22 57.2 33 28.2 17.2 5 46.3-13.7 54.2 8 299 04.4-22 57.0 48 04.4 17.2 5 32.5-13.7 54.2 9 314 04.1-22 56.7 62 40.5 17.2 5 18.8-13.8 54.2 10 329 03.8-22 56.5 77 16.7 17.2 5 05.0-13.8 54.2 11 344 03.5-22 56.3 91 52.9 17.2 4 51.2-13.8 54.2 12 359 03.2-22 56.1 106 29.2 17.2 4 37.4-13.8 54.2 13 14 02.9-22 55.9 121 05.4 17.2 4 23.6-13.8 54.2 14 29 02.6-22 55.6 135 41.7 17.3 4 09.8-13.9 54.2 15 44 02.3-22 55.4 150 17.9 17.3 3 55.9-13.9 54.2 16 59 02.0-22 55.2 164 54.2 17.3 3 42.0-13.9 54.2 17 74 01.8-22 55.0 179 30.5 17.3 3 28.1-13.9 54.2 18 89 01.5-22 54.7 194 06.7 17.3 3 14.2-13.9 54.3 19 104 01.2-22 54.5 208 43.0 17.3 3 00.3-13.9 54.3 20 119 00.9-22 54.3 223 19.3 17.3 2 46.4-13.9 54.3 21 134 00.6-22 54.1 237 55.6 17.3 2 32.4-14.0 54.3 22 149 00.3-22 53.8 252 31.9 17.3 2 18.5-14.0 54.3 23 164 00.0-22 53.6 267 08.2 17.3 2 04.5-14.0 54.3 SD.=16.3 d=0.2 S.D.=14.8 Wed GHA Dec GHA ν Dec d HP 0 178 59.7-22 53.4 281 44.5 17.3 1 50.5-14.0 54.3 1 193 59.4-22 53.1 296 20.8 17.3 1 36.5-14.0 54.3 2 208 59.1-22 52.9 310 57.1 17.3 1 22.5-14.0 54.3 3 223 58.8-22 52.7 325 33.4 17.3 1 08.5-14.0 54.3 4 238 58.6-22 52.5 340 09.7 17.3 0 54.4-14.0 54.3 5 253 58.3-22 52.2 354 46.0 17.3 0 40.4-14.0 54.4 6 268 58.0-22 52.0 9 22.3 17.3 0 26.4-14.0 54.4 7 283 57.7-22 51.7 23 58.5 17.3 0 12.3-14.1 54.4 8 298 57.4-22 51.5 38 34.8 17.3-0 01.7-14.1 54.4 9 313 57.1-22 51.3 53 11.1 17.2-0 15.8-14.1 54.4 10 328 56.8-22 51.0 67 47.3 17.2-0 29.9-14.1 54.4 11 343 56.5-22 50.8 82 23.5 17.2-0 43.9-14.1 54.4 12 358 56.2-22 50.6 96 59.7 17.2-0 58.0-14.1 54.4 13 13 56.0-22 50.3 111 35.9 17.2-1 12.1-14.1 54.5 14 28 55.7-22 50.1 126 12.1 17.2-1 26.2-14.1 54.5 15 43 55.4-22 49.8 140 48.3 17.1-1 40.2-14.1 54.5 16 58 55.1-22 49.6 155 24.4 17.1-1 54.3-14.1 54.5 17 73 54.8-22 49.4 170 00.5 17.1-2 08.4-14.1 54.5 18 88 54.5-22 49.1 184 36.6 17.1-2 22.5-14.1 54.5 19 103 54.2-22 48.9 199 12.7 17.1-2 36.6-14.1 54.5 20 118 53.9-22 48.6 213 48.7 17.0-2 50.6-14.1 54.6 21 133 53.7-22 48.4 228 24.8 17.0-3 04.7-14.1 54.6 22 148 53.4-22 48.1 243 00.8 17.0-3 18.8-14.1 54.6 23 163 53.1-22 47.9 257 36.7 17.0-3 32.9-14.1 54.6 SD.=16.3 d=0.2 S.D.=14.8 Lat. Naut. Civil Sunrise Sunset Civil Naut. 72 08:23 10:41 : : 13:27 15:45 70 08:05 09:49 : : 14:19 16:03 68 07:50 09:16 : : 14:52 16:18 66 07:37 08:53 10:27 13:41 15:15 16:31 64 07:26 08:34 09:49 14:19 15:34 16:41 62 07:17 08:18 09:22 14:45 15:49 16:51 60 07:09 08:05 09:02 15:06 16:02 16:59 58 07:02 07:54 08:45 15:23 16:14 17:06 56 06:56 07:44 08:31 15:37 16:24 17:12 54 06:50 07:35 08:19 15:49 16:32 17:18 52 06:44 07:28 08:08 15:60 16:40 17:24 50 06:39 07:20 07:58 16:09 16:47 17:29 45 06:28 07:05 07:38 16:29 17:03 17:40 40 06:18 06:52 07:22 16:46 17:16 17:50 35 06:08 06:40 07:08 16:60 17:28 17:59 30 05:60 06:30 06:56 17:12 17:38 18:08 20 05:44 06:11 06:35 17:32 17:56 18:24 10 05:28 05:54 06:17 17:50 18:13 18:39 0 05:11 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 04:60 05:24 18:43 19:08 19:37-30 04:02 04:35 05:03 19:05 19:32 20:05-35 03:44 04:20 04:50 19:17 19:47 20:23-40 03:21 04:03 04:35 19:32 20:05 20:46-45 02:52 03:41 04:18 19:50 20:27 21:15-50 02:08 03:12 03:56 20:11 20:55 21:59-52 01:42 02:57 03:45 20:22 21:10 22:24-54 01:02 02:40 03:33 20:34 21:27 23:03-56 : 02:19 03:19 20:48 21:48 : -58 : 01:51 03:03 21:04 22:15 : -60 : 01:08 02:44 21:23 22:58 : Moonrise Moonset Lat. Mon Tue Wed Mon Tue Wed 72 20:47 22:46 : 12:26 11:51 11:20 70 20:60 22:49 : 12:11 11:45 11:21 68 21:10 22:51 : 11:58 11:40 11:22 66 21:18 22:53 : 11:48 11:35 11:23 64 21:25 22:55 : 11:40 11:32 11:23 62 21:31 22:56 : 11:33 11:28 11:24 60 21:36 22:58 : 11:26 11:26 11:25 58 21:41 22:59 : 11:21 11:23 11:25 56 21:45 22:60 : 11:16 11:21 11:26 54 21:48 23:01 : 11:11 11:19 11:26 52 21:51 23:01 : 11:07 11:17 11:26 50 21:54 23:02 : 11:03 11:15 11:27 45 22:01 23:04 : 10:55 11:12 11:27 40 22:06 23:05 : 10:48 11:08 11:28 35 22:11 23:06 : 10:42 11:06 11:28 30 22:15 23:07 : 10:37 11:03 11:29 20 22:21 23:09 23:57 10:28 10:59 11:30 10 22:27 23:11 23:54 10:20 10:55 11:30 0 22:33 23:12 23:51 10:12 10:52 11:31-10 22:39 23:14 23:49 10:05 10:48 11:31-20 22:45 23:15 23:46 09:56 10:45 11:32-30 22:51 23:17 23:43 09:47 10:40 11:33-35 22:55 23:18 23:41 09:41 10:38 11:33-40 22:59 23:19 23:39 09:35 10:35 11:34-45 23:05 23:20 23:36 09:28 10:31 11:34-50 23:11 23:22 23:33 09:19 10:27 11:35-52 23:13 23:23 23:32 09:15 10:25 11:35-54 23:16 23:24 23:31 09:10 10:23 11:36-56 23:20 23:24 23:29 09:05 10:21 11:36-58 23:23 23:25 23:28 08:60 10:18 11:36-60 23:27 23:27 23:26 08:53 10:16 11:37 Sun Moon Day Eqn.of Time Mer. Mer.Pass. Age 00 h 12 h Pass Upper Lower 1 03:05 03:19 12:03 04:02 16:22 20(74%) 2 03:33 03:47 12:03 04:42 17:02 21(65%) 3 04:01 04:15 12:04 05:21 17:41 22(56%) 3

January 04, 05,06 (Thu., Fri., Sat.) Aries Venus Mars Jupiter Saturn Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 103 06.5 218 22.5-19 31.5 193 37.0-24 01.0 69 24.2 12 17.2 127 04.4-11 44.3 1 118 09.0 233 21.8-19 32.1 208 37.4-24 01.1 84 26.7 12 17.2 142 06.7-11 44.2 2 133 11.4 248 21.1-19 32.7 223 37.8-24 01.1 99 29.1 12 17.2 157 08.9-11 44.1 3 148 13.9 263 20.4-19 33.3 238 38.2-24 01.1 114 31.5 12 17.3 172 11.2-11 44.0 4 163 16.3 278 19.7-19 33.9 253 38.7-24 01.2 129 34.0 12 17.3 187 13.4-11 43.9 5 178 18.8 293 19.0-19 34.5 268 39.1-24 01.2 144 36.4 12 17.3 202 15.7-11 43.8 6 193 21.3 308 18.3-19 35.1 283 39.5-24 01.2 159 38.8 12 17.3 217 17.9-11 43.7 7 208 23.7 323 17.6-19 35.7 298 40.0-24 01.2 174 41.3 12 17.4 232 20.2-11 43.7 8 223 26.2 338 16.9-19 36.2 313 40.4-24 01.3 189 43.7 12 17.4 247 22.4-11 43.6 9 238 28.7 353 16.2-19 36.8 328 40.8-24 01.3 204 46.1 12 17.4 262 24.6-11 43.5 10 253 31.1 8 15.5-19 37.4 343 41.2-24 01.3 219 48.6 12 17.4 277 26.9-11 43.4 11 268 33.6 23 14.7-19 38.0 358 41.7-24 01.3 234 51.0 12 17.5 292 29.1-11 43.3 12 283 36.1 38 14.0-19 38.6 13 42.1-24 01.4 249 53.4 12 17.5 307 31.4-11 43.2 13 298 38.5 53 13.3-19 39.2 28 42.5-24 01.4 264 55.9 12 17.5 322 33.6-11 43.1 14 313 41.0 68 12.6-19 39.8 43 42.9-24 01.4 279 58.3 12 17.5 337 35.9-11 43.0 15 328 43.5 83 11.9-19 40.4 58 43.4-24 01.4 295 00.7 12 17.6 352 38.1-11 43.0 16 343 45.9 98 11.2-19 40.9 73 43.8-24 01.5 310 03.2 12 17.6 7 40.4-11 42.9 17 358 48.4 113 10.5-19 41.5 88 44.2-24 01.5 325 05.6 12 17.6 22 42.6-11 42.8 18 13 50.8 128 09.8-19 42.1 103 44.7-24 01.5 340 08.0 12 17.6 37 44.9-11 42.7 19 28 53.3 143 09.0-19 42.7 118 45.1-24 01.5 355 10.5 12 17.7 52 47.1-11 42.6 20 43 55.8 158 08.3-19 43.3 133 45.5-24 01.6 10 12.9 12 17.7 67 49.3-11 42.5 21 58 58.2 173 07.6-19 43.9 148 45.9-24 01.6 25 15.3 12 17.7 82 51.6-11 42.4 22 74 00.7 188 06.9-19 44.4 163 46.4-24 01.6 40 17.7 12 17.7 97 53.8-11 42.4 23 89 03.2 203 06.2-19 45.0 178 46.8-24 01.6 55 20.2 12 17.8 112 56.1-11 42.3 Mer.pass.:17:04 v-0.7 d-0.6 m-3.9 v0.4 d-0.0 m1.4 v2.4 d0.0 m-2.4 v2.2 d0.1 m1.0 Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 104 05.6 218 05.5-19 45.6 193 47.2-24 01.6 70 22.6 12 17.8 127 58.3-11 42.2 1 119 08.1 233 04.7-19 46.2 208 47.6-24 01.7 85 25.0 12 17.8 143 00.6-11 42.1 2 134 10.6 248 04.0-19 46.7 223 48.1-24 01.7 100 27.5 12 17.8 158 02.8-11 42.0 3 149 13.0 263 03.3-19 47.3 238 48.5-24 01.7 115 29.9 12 17.9 173 05.1-11 41.9 4 164 15.5 278 02.6-19 47.9 253 48.9-24 01.7 130 32.3 12 17.9 188 07.3-11 41.8 5 179 17.9 293 01.9-19 48.5 268 49.3-24 01.7 145 34.7 12 17.9 203 09.5-11 41.7 6 194 20.4 308 01.1-19 49.0 283 49.8-24 01.8 160 37.2 12 18.0 218 11.8-11 41.7 7 209 22.9 323 00.4-19 49.6 298 50.2-24 01.8 175 39.6 12 18.0 233 14.0-11 41.6 8 224 25.3 337 59.7-19 50.2 313 50.6-24 01.8 190 42.0 12 18.0 248 16.3-11 41.5 9 239 27.8 352 59.0-19 50.8 328 51.1-24 01.8 205 44.4 12 18.0 263 18.5-11 41.4 10 254 30.3 7 58.3-19 51.3 343 51.5-24 01.8 220 46.9 12 18.1 278 20.8-11 41.3 11 269 32.7 22 57.5-19 51.9 358 51.9-24 01.8 235 49.3 12 18.1 293 23.0-11 41.2 12 284 35.2 37 56.8-19 52.5 13 52.3-24 01.9 250 51.7 12 18.1 308 25.2-11 41.1 13 299 37.7 52 56.1-19 53.0 28 52.8-24 01.9 265 54.1 12 18.1 323 27.5-11 41.0 14 314 40.1 67 55.4-19 53.6 43 53.2-24 01.9 280 56.5 12 18.2 338 29.7-11 41.0 15 329 42.6 82 54.6-19 54.2 58 53.6-24 01.9 295 59.0 12 18.2 353 32.0-11 40.9 16 344 45.1 97 53.9-19 54.7 73 54.0-24 01.9 311 01.4 12 18.2 8 34.2-11 40.8 17 359 47.5 112 53.2-19 55.3 88 54.5-24 01.9 326 03.8 12 18.3 23 36.5-11 40.7 18 14 50.0 127 52.5-19 55.8 103 54.9-24 01.9 341 06.2 12 18.3 38 38.7-11 40.6 19 29 52.4 142 51.7-19 56.4 118 55.3-24 01.9 356 08.7 12 18.3 53 40.9-11 40.5 20 44 54.9 157 51.0-19 57.0 133 55.7-24 02.0 11 11.1 12 18.3 68 43.2-11 40.4 21 59 57.4 172 50.3-19 57.5 148 56.2-24 02.0 26 13.5 12 18.4 83 45.4-11 40.3 22 74 59.8 187 49.6-19 58.1 163 56.6-24 02.0 41 15.9 12 18.4 98 47.7-11 40.3 23 90 02.3 202 48.8-19 58.6 178 57.0-24 02.0 56 18.3 12 18.4 113 49.9-11 40.2 Mer.pass.:17:00 v-0.7 d-0.6 m-3.9 v0.4 d-0.0 m1.4 v2.4 d0.0 m-2.4 v2.2 d0.1 m1.0 Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec 0 105 04.8 217 48.1-19 59.2 193 57.4-24 02.0 71 20.8 12 18.5 128 52.2-11 40.1 1 120 07.2 232 47.4-19 59.7 208 57.9-24 02.0 86 23.2 12 18.5 143 54.4-11 40.0 2 135 09.7 247 46.7-20 00.3 223 58.3-24 02.0 101 25.6 12 18.5 158 56.6-11 39.9 3 150 12.2 262 45.9-20 00.8 238 58.7-24 02.0 116 28.0 12 18.5 173 58.9-11 39.8 4 165 14.6 277 45.2-20 01.4 253 59.1-24 02.0 131 30.4 12 18.6 189 01.1-11 39.7 5 180 17.1 292 44.5-20 02.0 268 59.5-24 02.0 146 32.9 12 18.6 204 03.4-11 39.6 6 195 19.6 307 43.7-20 02.5 283 60.0-24 02.1 161 35.3 12 18.6 219 05.6-11 39.6 7 210 22.0 322 43.0-20 03.1 299 00.4-24 02.1 176 37.7 12 18.7 234 07.8-11 39.5 8 225 24.5 337 42.3-20 03.6 314 00.8-24 02.1 191 40.1 12 18.7 249 10.1-11 39.4 9 240 26.9 352 41.5-20 04.1 329 01.2-24 02.1 206 42.5 12 18.7 264 12.3-11 39.3 10 255 29.4 7 40.8-20 04.7 344 01.7-24 02.1 221 44.9 12 18.7 279 14.6-11 39.2 11 270 31.9 22 40.1-20 05.2 359 02.1-24 02.1 236 47.4 12 18.8 294 16.8-11 39.1 12 285 34.3 37 39.3-20 05.8 14 02.5-24 02.1 251 49.8 12 18.8 309 19.0-11 39.0 13 300 36.8 52 38.6-20 06.3 29 02.9-24 02.1 266 52.2 12 18.8 324 21.3-11 38.9 14 315 39.3 67 37.9-20 06.9 44 03.4-24 02.1 281 54.6 12 18.9 339 23.5-11 38.8 15 330 41.7 82 37.1-20 07.4 59 03.8-24 02.1 296 57.0 12 18.9 354 25.8-11 38.8 16 345 44.2 97 36.4-20 08.0 74 04.2-24 02.1 311 59.4 12 18.9 9 28.0-11 38.7 17 0 46.7 112 35.7-20 08.5 89 04.6-24 02.1 327 01.8 12 19.0 24 30.2-11 38.6 18 15 49.1 127 34.9-20 09.0 104 05.0-24 02.1 342 04.3 12 19.0 39 32.5-11 38.5 19 30 51.6 142 34.2-20 09.6 119 05.5-24 02.1 357 06.7 12 19.0 54 34.7-11 38.4 20 45 54.0 157 33.4-20 10.1 134 05.9-24 02.1 12 09.1 12 19.1 69 37.0-11 38.3 21 60 56.5 172 32.7-20 10.6 149 06.3-24 02.1 27 11.5 12 19.1 84 39.2-11 38.2 22 75 59.0 187 32.0-20 11.2 164 06.7-24 02.1 42 13.9 12 19.1 99 41.4-11 38.1 23 91 01.4 202 31.2-20 11.7 179 07.2-24 02.1 57 16.3 12 19.1 114 43.7-11 38.0 Mer.pass.:16:56 v-0.7 d-0.6 m-3.9 v0.4 d-0.0 m1.4 v2.4 d0.0 m-2.4 v2.2 d0.1 m1.0 Stars SHA Dec Alpheratz 357 35.7 29 13.5 Ankaa 353 08.0-42 10.8 Schedar 349 32.1 56 40.4 Diphda 348 48.0-17 51.5 Achernar 335 20.7-57 07.2 Hamal 327 52.1 23 34.7 Polaris 314 10.5 89 22.2 Akamar 315 12.2-40 12.7 Menkar 314 06.8 4 11.0 Mirfak 308 29.1 49 56.9 Aldebaran 290 40.3 16 33.5 Rigel 281 04.4-8 10.5 Capella 280 22.7 46 01.5 Bellatrix 278 23.5 6 22.3 Elnath 278 02.6 28 37.7 Alnilam 275 38.3-1 11.2 Betelgeuse 270 52.7 7 24.7 Canopus 263 52.2-52 42.5 Sirius 258 26.5-16 44.8 Adara 255 06.1-29 00.3 Procyon 244 51.3 5 09.9 Pollux 243 17.9 27 58.1 Avior 234 14.5-59 35.0 Suhail 222 46.5-43 31.6 Miaplacidus 221 37.7-69 48.7 Alphard 217 48.3-8 45.7 Regulus 207 35.1 11 50.9 Dubhe 193 41.7 61 37.1 Denebola 182 25.6 14 26.2 Gienah 175 44.4-17 40.4 Acrux 173 01.0-63 13.6 Gacrux 171 52.6-57 14.6 Alioth 166 13.7 55 49.5 Spica 158 23.2-11 17.1 Alcaid 152 52.8 49 11.3 Hadar 148 37.4-60 29.0 Menkent 147 58.8-36 29.1 Arcturus 145 48.7 19 03.6 Rigil Kent. 139 41.8-60 55.8 Zubenelg. 136 57.1-16 08.4 Kochab 137 20.3 74 03.1 Alphecca 126 04.7 26 37.9 Antares 112 17.2-26 29.0 Atria 107 12.7-69 04.1 Sabik 102 04.1-15 45.3 Shaula 96 11.9-37 07.2 Rasalhague 95 59.7 12 32.5 Etamin 90 43.1 51 29.0 Kaus Aust. 83 34.0-34 22.4 Vega 80 34.3 38 48.2 Nunki 75 49.2-26 16.1 Altair 62 01.2 8 55.8 Peacock 53 07.6-56 39.6 Deneb 49 26.8 45 22.0 Enif 33 39.9 9 59.1 Alnair 27 34.3-46 50.9 Fomalhaut 15 15.7-29 29.9 Scheat 13 46.2 28 12.8 Markab 13 30.9 15 20.1 2024/1/4 SHA Mer.pass Venus 115 16.0 09:27 Mars 90 30.5 11:05 Jupiter 326 17.7 19:19 Saturn 23 57.9 15:29 2024/1/5 SHA Mer.pass Venus 113 59.8 09:28 Mars 89 41.6 11:05 Jupiter 326 17.0 19:15 Saturn 23 52.7 15:26 2024/1/6 SHA Mer.pass Venus 112 43.3 09:29 Mars 88 52.7 11:04 Jupiter 326 16.0 19:12 Saturn 23 47.4 15:22 Horizontal paralax Venus: 0.1 Mars: 0.1 4