Part Page
Calendar, yearly 4
Day of Week & Day Number of Year 5
Links Time signals Bowditch Terrestrial Almanac Pub. No. 249 Pub. No. 229 Sight Reduction Forms and Methods
6
Equation of Time curve 15
Moon Phases (includes Moon in graphic form) 16-17
Note! The Daily 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 Altitude Corrections are found on the pdf page numbers below
Tables of Increments and Corrections for Sun, planets, Aries, Moon (“the yellow pages”) 262
Conversion of Arc to Time 282
Altitude Corrections for Sun, Planets, Stars (includes Refraction and Dip) 283-284
Altitude Corrections for the Moon 285-286
Navigational Star Chart 287
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Copyright 2021 TheNauticalAlmanac.com You are free to copy and distribute this document in its entirety
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Acknowledgment and Credits
Dr. Enno Rodegerdts
The Nautical Almanac Daily Pages and Sun Almanacs found on our site were originally created from PyAlmanac written by the great Norwegian sailor Enno Rodegerdts. PyAlmanac used PyEphem to generate the almanacs and LaTex provided the final formatting. Visit Dr. Rodegerdts site and learn of his voyages at https://sv-inua.net/
Without his work TheNauticalAlmanac.com wouldn't exist.
Andrew Bauer
Mr. Bauer has taken the initial work of Dr. Rodegerdts and improved it to the excellence found in the following Daily Pages. Attending foremost to the accuracy of data and then formatting Mr. Bauer created SkyAlmanac which draws from Brandon Rhodes work Ephem and Skyfield and provides a clear arrangement of figures required for celestial navigation. To that end his work was determined, tireless and efficient. In our mutual writing across many lines of longitude he has always been pleasant, friendly and most affable.
As he has said, "The art of celestial navigation should be promoted, not discouraged, even in the modern day".
To both of these men we all owe a large debt of gratitude and thanks
Disclaimer and Warning
Prior to use verify the accuracy of The Nautical Almanac or data you download from our site. They SHOULD NOT and MUST NOT be relied upon for celestial navigation work of any sorts or any purpose whatsoever. You use them at your own risk or peril.
Errors & Corrections
Contact us if you find any significant errors and describe the correction that should be made.
Copyright 2021 TheNauticalAlmanac.com
You are free to copy and distribute this document in its entirety but never sell it.
freely ye received, freely give
2022 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 1 2 3 4 5 6 1 2 3 4 5 6
3 4 5 6 7 8 9 7 8 9 10 11 12 13 7 8 9 10 11 12 13 10 11 12 13 14 15 16 14 15 16 17 18 19 20 14 15 16 17 18 19 20 17 18 19 20 21 22 23 21 22 23 24 25 26 27 21 22 23 24 25 26 27 24 25 26 27 28 29 30 28 28 29 30 31 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 1 1 2 3 4 5 4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12
11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19 18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26 25 26 27 28 29 30 23 24 25 26 27 28 29 27 28 29 30
30 31
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 1 2 3 4 5 6 7 1 2 3 4 4 5 6 7 8 9 10 8 9 10 11 12 13 14 5 6 7 8 9 10 11
11 12 13 14 15 16 17 15 16 17 18 19 20 21 12 13 14 15 16 17 18 18 19 20 21 22 23 24 22 23 24 25 26 27 28 19 20 21 22 23 24 25 25 26 27 28 29 30 31 29 30 31 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 1 2 3 4 5 6 1 2 3 4 3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11
10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18 17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25 24 25 26 27 28 29 30 28 29 30 26 27 28 29 30 31 31
2022 Day of Week, Week Number, Day of Year, Remaining Days of Year
D ay
o f
M o
January February March April May June
Day Day Day Day Day Day Day Day Day Day Day Day
of of of of of of of of of of of of
Week Year Week Year Week Year Week Year Week Year Week Year 1 Sat 1 364 1 Tue 32 333 5 1 Tue 60 305 9 1 Fri 91 274 13 1 Sun 121 244 17 1 Wed 152 213 22
2 Sun 2 363 1 2 Wed 33 332 2 Wed 61 304 2 Sat 92 273 2 Mon 122 243 2 Thu 153 212
3 Mon 3 362 3 Thu 34 331 3 Thu 62 303 3 Sun 93 272 14 3 Tue 123 242 3 Fri 154 211
4 Tue 4 361 4 Fri 35 330 4 Fri 63 302 4 Mon 94 271 4 Wed 124 241 4 Sat 155 210
5 Wed 5 360 5 Sat 36 329 5 Sat 64 301 5 Tue 95 270 5 Thu 125 240 5 Sun 156 209 23
6 Thu 6 359 6 Sun 37 328 6 6 Sun 65 300 10 6 Wed 96 269 6 Fri 126 239 6 Mon 157 208
7 Fri 7 358 7 Mon 38 327 7 Mon 66 299 7 Thu 97 268 7 Sat 127 238 7 Tue 158 207
8 Sat 8 357 8 Tue 39 326 8 Tue 67 298 8 Fri 98 267 8 Sun 128 237 19 8 Wed 159 206
9 Sun 9 356 2 9 Wed 40 325 9 Wed 68 297 9 Sat 99 266 9 Mon 129 236 9 Thu 160 205
10 Mon 10 355 10 Thu 41 324 10 Thu 69 296 10 Sun 100 265 15 10 Tue 130 235 10 Fri 161 204
11 Tue 11 354 11 Fri 42 323 11 Fri 70 295 11 Mon 101 264 11 Wed 131 234 11 Sat 162 203
12 Wed 12 353 12 Sat 43 322 12 Sat 71 294 12 Tue 102 263 12 Thu 132 233 12 Sun 163 202 24
13 Thu 13 352 13 Sun 44 321 7 13 Sun 72 293 11 13 Wed 103 262 13 Fri 133 232 13 Mon 164 201
14 Fri 14 351 14 Mon 45 320 14 Mon 73 292 14 Thu 104 261 14 Sat 134 231 14 Tue 165 200
15 Sat 15 350 15 Tue 46 319 15 Tue 74 291 15 Fri 105 260 15 Sun 135 230 20 15 Wed 166 199
16 Sun 16 349 3 16 Wed 47 318 16 Wed 75 290 16 Sat 106 259 16 Mon 136 229 16 Thu 167 198
17 Mon 17 348 17 Thu 48 317 17 Thu 76 289 17 Sun 107 258 16 17 Tue 137 228 17 Fri 168 197
18 Tue 18 347 18 Fri 49 316 18 Fri 77 288 18 Mon 108 257 18 Wed 138 227 18 Sat 169 196
19 Wed 19 346 19 Sat 50 315 19 Sat 78 287 19 Tue 109 256 19 Thu 139 226 19 Sun 170 195 25
20 Thu 20 345 20 Sun 51 314 8 20 Sun 79 286 12 20 Wed 110 255 20 Fri 140 225 20 Mon 171 194
21 Fri 21 344 21 Mon 52 313 21 Mon 80 285 21 Thu 111 254 21 Sat 141 224 21 Tue 172 193
22 Sat 22 343 22 Tue 53 312 22 Tue 81 284 22 Fri 112 253 22 Sun 142 223 21 22 Wed 173 192
23 Sun 23 342 4 23 Wed 54 311 23 Wed 82 283 23 Sat 113 252 23 Mon 143 222 23 Thu 174 191
24 Mon 24 341 24 Thu 55 310 24 Thu 83 282 24 Sun 114 251 17 24 Tue 144 221 24 Fri 175 190
25 Tue 25 340 25 Fri 56 309 25 Fri 84 281 25 Mon 115 250 25 Wed 145 220 25 Sat 176 189
26 Wed 26 339 26 Sat 57 308 26 Sat 85 280 26 Tue 116 249 26 Thu 146 219 26 Sun 177 188 26
27 Thu 27 338 27 Sun 58 307 9 27 Sun 86 279 13 27 Wed 117 248 27 Fri 147 218 27 Mon 178 187
28 Fri 28 337 28 Mon 59 306 28 Mon 87 278 28 Thu 118 247 28 Sat 148 217 28 Tue 179 186
29 Sat 29 336 29 Tue 88 277 29 Fri 119 246 29 Sun 149 216 22 29 Wed 180 185
30 Sun 30 335 5 30 Wed 89 276 30 Sat 120 245 30 Mon 150 215 30 Thu 181 184
31 Mon 31 334 31 Thu 90 275 31 Tue 151 214
Day of Week, Week Number, Day of Year, Remaining Days of Year
D ay
o f
M o
July August September October November December
Day Day Day Day Day Day Day Day Day Day Day Day
of of of of of of of of of of of of
Week Year Week Year Week Year Week Year Week Year Week Year 1 Fri 182 183 26 1 Mon 213 152 31 1 Thu 244 121 35 1 Sat 274 91 40 1 Tue 305 60 45 1 Thu 335 30 49
2 Sat 183 182 2 Tue 214 151 2 Fri 245 120 2 Sun 275 90 41 2 Wed 306 59 2 Fri 336 29
3 Sun 184 181 27 3 Wed 215 150 3 Sat 246 119 3 Mon 276 89 3 Thu 307 58 3 Sat 337 28
4 Mon 185 180 4 Thu 216 149 4 Sun 247 118 37 4 Tue 277 88 4 Fri 308 57 4 Sun 338 27 50
5 Tue 186 179 5 Fri 217 148 5 Mon 248 117 5 Wed 278 87 5 Sat 309 56 5 Mon 339 26
6 Wed 187 178 6 Sat 218 147 6 Tue 249 116 6 Thu 279 86 6 Sun 310 55 46 6 Tue 340 25
7 Thu 188 177 7 Sun 219 146 32 7 Wed 250 115 7 Fri 280 85 7 Mon 311 54 7 Wed 341 24
8 Fri 189 176 8 Mon 220 145 8 Thu 251 114 8 Sat 281 84 8 Tue 312 53 8 Thu 342 23
9 Sat 190 175 9 Tue 221 144 9 Fri 252 113 9 Sun 282 83 42 9 Wed 313 52 9 Fri 343 22
10 Sun 191 174 28 10 Wed 222 143 10 Sat 253 112 10 Mon 283 82 10 Thu 314 51 10 Sat 344 21
11 Mon 192 173 11 Thu 223 142 11 Sun 254 111 38 11 Tue 284 81 11 Fri 315 50 11 Sun 345 20 51
12 Tue 193 172 12 Fri 224 141 12 Mon 255 110 12 Wed 285 80 12 Sat 316 49 12 Mon 346 19
13 Wed 194 171 13 Sat 225 140 13 Tue 256 109 13 Thu 286 79 13 Sun 317 48 47 13 Tue 347 18
14 Thu 195 170 14 Sun 226 139 33 14 Wed 257 108 14 Fri 287 78 14 Mon 318 47 14 Wed 348 17
15 Fri 196 169 15 Mon 227 138 15 Thu 258 107 15 Sat 288 77 15 Tue 319 46 15 Thu 349 16
16 Sat 197 168 16 Tue 228 137 16 Fri 259 106 16 Sun 289 76 43 16 Wed 320 45 16 Fri 350 15
17 Sun 198 167 29 17 Wed 229 136 17 Sat 260 105 17 Mon 290 75 17 Thu 321 44 17 Sat 351 14
18 Mon 199 166 18 Thu 230 135 18 Sun 261 104 39 18 Tue 291 74 18 Fri 322 43 18 Sun 352 13 52
19 Tue 200 165 19 Fri 231 134 19 Mon 262 103 19 Wed 292 73 19 Sat 323 42 19 Mon 353 12
20 Wed 201 164 20 Sat 232 133 20 Tue 263 102 20 Thu 293 72 20 Sun 324 41 48 20 Tue 354 11
21 Thu 202 163 21 Sun 233 132 34 21 Wed 264 101 21 Fri 294 71 21 Mon 325 40 21 Wed 355 10
22 Fri 203 162 22 Mon 234 131 22 Thu 265 100 22 Sat 295 70 22 Tue 326 39 22 Thu 356 9
23 Sat 204 161 23 Tue 235 130 23 Fri 266 99 23 Sun 296 69 44 23 Wed 327 38 23 Fri 357 8
24 Sun 205 160 30 24 Wed 236 129 24 Sat 267 98 24 Mon 297 68 24 Thu 328 37 24 Sat 358 7
25 Mon 206 159 25 Thu 237 128 25 Sun 268 97 40 25 Tue 298 67 25 Fri 329 36 25 Sun 359 6 53
26 Tue 207 158 26 Fri 238 127 26 Mon 269 96 26 Wed 299 66 26 Sat 330 35 26 Mon 360 5
27 Wed 208 157 27 Sat 239 126 27 Tue 270 95 27 Thu 300 65 27 Sun 331 34 49 27 Tue 361 4
28 Thu 209 156 28 Sun 240 125 35 28 Wed 271 94 28 Fri 301 64 28 Mon 332 33 28 Wed 362 3
29 Fri 210 155 29 Mon 241 124 29 Thu 272 93 29 Sat 302 63 29 Tue 333 32 29 Thu 363 2
30 Sat 211 154 30 Tue 242 123 30 Fri 273 92 30 Sun 303 62 45 30 Wed 334 31 30 Fri 364 1
31 Sun 212 153 31 31 Wed 243 122 31 Mon 304 61 31 Sat 365 0
Thirty days hath September, April, June, and November; February has twenty-eight alone, All the rest have thirty-one, Excepting leap-year, that's the time when February's days are twenty-nine.
Useful Information
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)
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
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
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)
Latitude= (90o – Ho) – Declination
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
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Formula Sheet added to NA.odt
Explanation of The Nautical Almanac Daily Pages
1 Date and Time based on GMT/UT
2 Mer. pass- meridian passage of Aries at the Prime Meridian- Greenwich- 0°. Time figure is GMT/UT.
3
Planet or Moon GHA v value and planet or Moon declination d value.
v- “The change in hour angle arising from v of the body at the time of the sight observation is accounted for with the v correction.” Source- Bowditch 2017, Chapter 19- Sight Reduction p. 313. The planet’s v is positive unless preceeded by a minus sign which is sometimes the case with Venus. The sign of the Moon’s v is positive.
d- “The change in declination of the body at the time of the sight observation is accounted for with the d correction.” Source- Bowditch 2017, Chapter 19- Sight Reduction p. 313. The sign of the Moon or planet’s d correction is determined by the declination trend- positive if successive declination values increase and negative if they decrease.
Corrections for both v and d are found in the Increments and Corrections pages of The Nautical Almanac.
To find the correction for either v or d enter the Increments and Corrections pages for the minutes in time of the observation and find the value in the v and d corr. columns Find the v, or d, value in the left side of one of the three columns. To the right of that value is the v, or d, correction. Be sure to add or subtract the values depending upon the sign of the value as mentioned above.
Example for v & d correction- June 10, 2020 GMT- 21:19:10 Body- Moon
GHA= 247° 20.4’ v = 12.1’ GHA increment 4° 34.4’ v- correction for 12.1’ + 0° 03.9’ GHA= 251° 58.7’
Dec= S 17° 43.8’ d= 8.9’ d- correction for 8.9’ – 0° 02.9’ dec= S 17° 40.9’
declination trend is decreasing so the sign of d correction is negative
4
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.
5
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. Here you’ll also find Polaris and Scheat. In the Northern Hemisphere Polaris is often used for determination of latitude.
6 Mer. pass- planet meridian passage time at the Prime Meridian- Greenwich- 0°. Time figure is GMT/UT.
7
SHA- planet SHA.
Planet SHA is calculated by subtracting Aries GHA from planet GHA. If planet GHA figure is less than Aries GHA, add 360° to planet GHA and then subtract Aries GHA.
8
Horizontal parallax- for Venus and Mars.
Horizontal parallax is the angle subtended by half the Earth’s diameter as viewed from the planet in minutes of arc.
9 SD- Semi-diameter of the Sun in minutes of arc.
One half of the angular width of the Sun as observed on earth.
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10 d- the daily average change, per hour, in the Sun’s declination in minutes of arc.
11 SD- Semi-diameter of the Moon in minutes of arc.
Semi-diameter is one half of the angular width of the Moon, as observed on earth.
12
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
13
Sun- Eqn. of Time- Basically the Equation of Time (EoT) is the difference between clock time and time seen on a sundial. This is comparing “clock time”, as a mechanical measurement of time, and the sundial being time determined by the position of the Sun at any given moment. The figures listed are for 00h and 12h. Using the EoT you can get fairly accurate determination of when Meridian Passage (Local Apparent Noon) occurs at your position. Unshaded EoT values are subtracted from 12:00 to get Meridian Passage. Shaded EoT values are added to 12:00 to get Meridian Passage. An Equation of Time chart (as a curve) is provided in each almanac on TheNauticalAlmanac.com
Example- Meridian Passage on May 30, 2020 equals 12:00 – EoT of 2 minutes 21 seconds
MP= 11:57:39 Local Apparent Noon
Example- Meridian Passage on August 25, 2020 equals 12:00 + EoT of 1 minute 59 seconds
MP= 12:01:59 Local Apparent Noon
14 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.
15
Moon- Mer. Pass- is the approximate GMT/UT when the Moon crosses The Prime Meridian (at Greenwich) or the 180° line of longitude.
Upper means the GMT/UT when the Moon crosses The Prime Meridian (Greenwich).
Lower means the GMT/UT when the Moon crosses the 180° line of longitude.
16
Moon- Age- this is the number of days past a new Moon. Typically, there are 29 days in a lunar month.
Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of the Moon is illuminated. A 3 day range percentage is provided but only one graphic for the phase.
17*
(morning) Twilight- Naut.- the approximate GMT/UT when morning Nautical Twilight 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.
17*
(morning) Twilight- 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.
17*
see notes at bottom
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.
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17*
see notes at bottom
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.
17*
see notes at bottom
(evening) Twilight- 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.
17*
(evening) Twilight- Naut.- the approximate GMT/UT of when evening Nautical Twilight 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.
18*
see notes 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.
18*
see notes 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.
* Note-
means the Sun or Moon remains continuously above the horizon on that day.
: can also mean twilight lasts all night: can also mean twilight lasts all night : can also mean twilight lasts all night
means the Sun or Moon remains continuously below the horizon on that day.
: means Moon does not rise or set on that day but may have risen or set the previous day or following day.: can also mean twilight lasts all night : can also mean twilight lasts all night
* Note- Time of Sunrise, Sunset, Moonrise, Moonset and twilight is based on GMT/UT of the event at 0° (Greenwich) and can be condsidered as approximate LMT (Local Mean Time) with a tolerance of +/- 30 minutes depending on where you are within a time zone.
Wednesday, February 24, 2021
2020 J anuary 01 to J an. 03
h Sun Moon Wed GHA Dec GHA ν Dec d HP
0 17913.7 S2303.5 11056.9 15.3’ S0958.5 10.7’ 54.3’ 1 19413.4 03.3 12531.3 15.4’ 0947.8 10.7’ 54.3’ 2 20913.1 03.1 14005.7 15.4’ 0937.1 10.7’ 54.3’ 3 22412.8 · · 03.0 15440.1 15.5’ 0926.3 10.8’ 54.3’ 4 23912.5 02.8 16914.6 15.5’ 0915.5 10.8’ 54.3’ 5 25412.2 02.6 18349.1 15.5’ 0904.7 10.8’ 54.2’ 6 26911.9 S2302.4 19823.6 15.6’ S0853.8 10.9’ 54.2’ 7 28411.6 02.2 21258.2 15.6’ 0842.9 10.9’ 54.2’ 8 29911.3 02.0 22732.8 15.6’ 0832.0 10.9’ 54.2’ 9 31411.0 · · 01.8 24207.5 15.7’ 0821.0 11.0’ 54.2’ 10 32910.7 01.6 25642.2 15.7’ 0810.0 11.0’ 54.2’ 11 34410.4 01.4 27116.9 15.7’ 0759.0 11.0’ 54.2’ 12 35910.1 S2301.2 28551.7 15.8’ S0748.0 11.1’ 54.2’ 13 1409.8 01.0 30026.4 15.8’ 0736.9 11.1’ 54.2’ 14 2909.5 00.8 31501.2 15.8’ 0725.8 11.1’ 54.2’ 15 4409.2 · · 00.6 32936.1 15.9’ 0714.7 11.1’ 54.2’ 16 5908.9 00.4 34410.9 15.9’ 0703.5 11.2’ 54.2’ 17 7408.6 00.2 35845.8 15.9’ 0652.3 11.2’ 54.2’ 18 8908.3 S2300.0 1320.7 15.9’ S0641.1 11.2’ 54.2’ 19 10408.0 2259.7 2755.7 16.0’ 0629.9 11.2’ 54.2’ 20 11907.7 59.5 4230.7 16.0’ 0618.7 11.3’ 54.2’ 21 13407.5 · · 59.3 5705.6 16.0’ 0607.4 11.3’ 54.2’ 22 14907.2 59.1 7140.6 16.0’ 0556.1 11.3’ 54.2’ 23 16406.9 58.9 8615.7 16.0’ 0544.8 11.3’ 54.2’
SD.=16.3 d=0.2 S.D.=14.8
Thu GHA Dec GHA ν Dec d HP
0 17906.6 S2258.7 10050.7 16.1’ S0533.4 11.3’ 54.2’ 1 19406.3 58.5 11525.8 16.1’ 0522.1 11.4’ 54.2’ 2 20906.0 58.3 13000.9 16.1’ 0510.7 11.4’ 54.2’ 3 22405.7 · · 58.1 14436.0 16.1’ 0459.3 11.4’ 54.2’ 4 23905.4 57.9 15911.1 16.1’ 0447.9 11.4’ 54.2’ 5 25405.1 57.6 17346.3 16.1’ 0436.5 11.4’ 54.2’ 6 26904.8 S2257.4 18821.4 16.2’ S0425.0 11.5’ 54.2’ 7 28404.5 57.2 20256.6 16.2’ 0413.5 11.5’ 54.2’ 8 29904.2 57.0 21731.7 16.2’ 0402.1 11.5’ 54.2’ 9 31403.9 · · 56.8 23206.9 16.2’ 0350.6 11.5’ 54.2’ 10 32903.6 56.6 24642.1 16.2’ 0339.0 11.5’ 54.2’ 11 34403.3 56.3 26117.3 16.2’ 0327.5 11.5’ 54.2’ 12 35903.0 S2256.1 27552.6 16.2’ S0316.0 11.5’ 54.2’ 13 1402.8 55.9 29027.8 16.2’ 0304.4 11.6’ 54.2’ 14 2902.5 55.7 30503.0 16.2’ 0252.8 11.6’ 54.2’ 15 4402.2 · · 55.5 31938.3 16.2’ 0241.3 11.6’ 54.2’ 16 5901.9 55.2 33413.5 16.2’ 0229.7 11.6’ 54.2’ 17 7401.6 55.0 34848.8 16.3’ 0218.1 11.6’ 54.2’ 18 8901.3 S2254.8 324.0 16.3’ S0206.5 11.6’ 54.2’ 19 10401.0 54.6 1759.3 16.3’ 0154.8 11.6’ 54.2’ 20 11900.7 54.3 3234.5 16.3’ 0143.2 11.6’ 54.2’ 21 13400.4 · · 54.1 4709.8 16.3’ 0131.6 11.6’ 54.2’ 22 14900.1 53.9 6145.0 16.3’ 0119.9 11.7’ 54.2’ 23 16359.8 53.7 7620.3 16.3’ 0108.2 11.7’ 54.3’
SD.=16.3 d=0.2 S.D.=14.8
Fri GHA Dec GHA ν Dec d HP
0 17859.5 S2253.4 9055.5 16.2’ S0056.6 11.7’ 54.3’ 1 19359.3 53.2 10530.8 16.2’ 0044.9 11.7’ 54.3’ 2 20859.0 53.0 12006.0 16.2’ 0033.2 11.7’ 54.3’ 3 22358.7 · · 52.7 13441.3 16.2’ 0021.5 11.7’ 54.3’ 4 23858.4 52.5 14916.5 16.2’ S0009.9 11.7’ 54.3’ 5 25358.1 52.3 16351.7 16.2’ N0001.8 11.7’ 54.3’ 6 26857.8 S2252.0 17826.9 16.2’ N0013.5 11.7’ 54.3’ 7 28357.5 51.8 19302.1 16.2’ 0025.2 11.7’ 54.3’ 8 29857.2 51.6 20737.3 16.2’ 0036.9 11.7’ 54.3’ 9 31356.9 · · 51.3 22212.5 16.2’ 0048.6 11.7’ 54.3’ 10 32856.6 51.1 23647.7 16.2’ 0100.3 11.7’ 54.3’ 11 34356.4 50.8 25122.8 16.1’ 0112.0 11.7’ 54.4’ 12 35856.1 S2250.6 26558.0 16.1’ N0123.7 11.7’ 54.4’ 13 1355.8 50.4 28033.1 16.1’ 0135.4 11.7’ 54.4’ 14 2855.5 50.1 29508.2 16.1’ 0147.1 11.7’ 54.4’ 15 4355.2 · · 49.9 30943.3 16.1’ 0158.8 11.7’ 54.4’ 16 5854.9 49.6 32418.4 16.1’ 0210.5 11.7’ 54.4’ 17 7354.6 49.4 33853.4 16.0’ 0222.2 11.7’ 54.4’ 18 8854.3 S2249.2 35328.4 16.0’ N0233.9 11.7’ 54.4’ 19 10354.0 48.9 803.5 16.0’ 0245.6 11.7’ 54.4’ 20 11853.8 48.7 2238.4 16.0’ 0257.3 11.7’ 54.5’ 21 13353.5 · · 48.4 3713.4 16.0’ 0309.0 11.7’ 54.5’ 22 14853.2 48.2 5148.4 15.9’ 0320.6 11.7’ 54.5’ 23 16352.9 47.9 6623.3 15.9’ 0332.3 11.7’ 54.5’
SD.=16.3 d=0.2 S.D.=14.8
Lat. Twilight Sunrise Sunset Twilight Naut. Civil Civil Naut.
N 72 08:23 10:41 13:27 15:45
N 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 09:23 14:45 15:49 16:51 60 07:09 08:05 09:02 15:06 16:02 16:59
N 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 16:00 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
N 40 06:18 06:52 07:22 16:46 17:16 17:50 35 06:08 06:40 07:08 17:00 17:28 17:59 30 06:00 06:30 06:56 17:12 17:38 18:08 20 05:44 06:11 06:35 17:32 17:56 18:24
N 10 05:28 05:54 06:17 17:50 18:13 18:40 0 05:11 05:38 06:00 18:08 18:30 18:56
S 10 04:53 05:20 05:43 18:25 18:48 19:15 20 04:31 05:00 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
S 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 03:20 20:47 21:48 58 01:51 03:03 21:04 22:15
S 60 01:08 02:44 21:23 22:58
Lat. Moonrise Moonset Wed Thu Fri Wed Thu Fri
N 72 12:37 12:18 12:00 21:58 23:43 –:–
N 70 12:26 12:13 12:02 22:06 23:44 –:– 68 12:17 12:10 12:03 22:14 23:45 –:– 66 12:09 12:07 12:04 22:20 23:46 –:– 64 12:02 12:04 12:05 22:25 23:47 –:– 62 11:57 12:02 12:06 22:29 23:48 –:– 60 11:52 12:00 12:07 22:33 23:49 –:–
N 58 11:48 11:58 12:08 22:36 23:49 –:– 56 11:44 11:56 12:08 22:39 23:50 –:– 54 11:40 11:55 12:09 22:42 23:50 –:– 52 11:37 11:54 12:10 22:44 23:51 –:– 50 11:34 11:52 12:10 22:46 23:51 –:– 45 11:28 11:50 12:11 22:51 23:52 –:–
N 40 11:23 11:48 12:12 22:55 23:52 –:– 35 11:18 11:46 12:13 22:58 23:53 –:– 30 11:14 11:44 12:14 23:01 23:54 –:– 20 11:07 11:41 12:15 23:06 23:54 –:–
N 10 11:01 11:39 12:16 23:11 23:55 –:– 0 10:55 11:36 12:17 23:15 23:56 –:–
S 10 10:49 11:34 12:18 23:19 23:57 –:– 20 10:43 11:31 12:19 23:24 23:57 –:– 30 10:36 11:28 12:20 23:29 23:58 –:– 35 10:32 11:26 12:21 23:31 23:59 –:– 40 10:27 11:25 12:22 23:35 23:59 –:– 45 10:21 11:22 12:23 23:38 –:– 00:00
S 50 10:15 11:20 12:24 23:43 –:– 00:00 52 10:12 11:18 12:25 23:45 –:– 00:01 54 10:08 11:17 12:25 23:47 –:– 00:01 56 10:05 11:15 12:26 23:49 –:– 00:01 58 10:01 11:14 12:27 23:52 –:– 00:02
S 60 09:56 11:12 12:28 23:55 –:– 00:02
Day
Sun Moon Eqn.of Time Mer. Mer.Pass. Age 00h 12h Pass Upper Lower 6-8
mm:ss mm:ss hh:mm hh:mm hh:mm 34-53%
01 03:05 03:20 12:03 17:05 04:44 02 03:34 03:48 12:04 17:46 05:26 03 04:02 04:16 12:04 18:27 06:06
3
1
117
18
Equation_of_Time_Curve.odt
Ti m
e in
m in
u te
-20
-16
-12
-8
-4
0
4
8
12
16
20
January February March April May June July August September October November December
2022 Moon Phases
New Moon First Quarter Full Moon Last Quarter
January 02 18:33
January 09 18:11
January 17 23:48
January 25 13:41
February 01 05:46
February 08 13:50
February 16 16:56
February 23 22:32
March 02 17:35
March 10 10:45
March 18 07:17
March 25 05:37
April 01 06:24
April 09 06:48
April 16 18:55
April 23 11:56
April 30 20:28
May 09 00:21
May 16 04:14
May 22 18:43
May 30 11:30
June 07 14:48
June 14 11:52
June 21 03:11
June 29 02:52
July 07 02:14
July 13 18:38
July 20 14:19
July 28 17:55
August 05 11:06
August 12 01:36
August 19 04:36
August 27 08:17
September 03 18:08
September 10 09:59
September 17 21:52
September 25 21:54
October 03 00:14
October 09 20:55
October 17 17:15
October 25 10:49
November 01 06:37
November 08 11:02
November 16 13:27
November 23 22:57
November 30 14:36
December 08 04:08
December 16 08:56
December 23 10:17
December 30 01:20 -- --
Add or subtract your time diference from Greenwich to determine local time and date of Moon phase.
Moon Phases.odt
January 01, 02, 03 UT (Sat., Sun., Mon.)
Aries Venus Mars Jupiter Saturn Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10037.6 16600.0 S1835.0 20858.0 S2230.0 12739.4 S1212.7 14601.3 S1800.6 1 11540.0 18103.9 34.6 22358.6 30.2 14241.4 12.5 16103.5 00.6 2 13042.5 19607.7 34.1 23859.1 30.5 15743.4 12.3 17605.7 00.5 3 14545.0 21111.6 · · 33.7 25359.7 · · 30.7 17245.4 · · 12.1 19107.9 · · 00.4 4 16047.4 22615.4 33.3 26900.3 31.0 18747.3 12.0 20610.1 00.3 5 17549.9 24119.3 32.8 28400.8 31.2 20249.3 11.8 22112.3 00.3
6 19052.4 25623.1 S1832.4 29901.4 S2231.5 21751.3 S1211.6 23614.5 S1800.2 7 20554.8 27127.0 31.9 31401.9 31.7 23253.3 11.4 25116.6 00.1 8 22057.3 28630.9 31.5 32902.5 32.0 24755.3 11.3 26618.8 00.0 9 23559.8 30134.7 · · 31.1 34403.1 · · 32.2 26257.3 · · 11.1 28121.0 1800.0 10 25102.2 31638.6 30.6 35903.6 32.5 27759.3 10.9 29623.2 1759.9 11 26604.7 33142.5 30.2 1404.2 32.7 29301.3 10.7 31125.4 59.8
12 28107.2 34646.3 S1829.8 2904.7 S2233.0 30803.3 S1210.5 32627.6 S1759.7 13 29609.6 150.2 29.3 4405.3 33.2 32305.3 10.4 34129.8 59.7 14 31112.1 1654.1 28.9 5905.8 33.5 33807.3 10.2 35632.0 59.6 15 32614.5 3158.0 · · 28.5 7406.4 · · 33.7 35309.3 · · 10.0 1134.2 · · 59.5 16 34117.0 4701.9 28.0 8907.0 33.9 811.3 09.8 2636.4 59.4 17 35619.5 6205.8 27.6 10407.5 34.2 2313.3 09.7 4138.5 59.4
18 1121.9 7709.7 S1827.2 11908.1 S2234.4 3815.3 S1209.5 5640.7 S1759.3 19 2624.4 9213.6 26.7 13408.6 34.7 5317.3 09.3 7142.9 59.2 20 4126.9 10717.4 26.3 14909.2 34.9 6819.3 09.1 8645.1 59.1 21 5629.3 12221.3 · · 25.9 16409.7 · · 35.2 8321.3 · · 09.0 10147.3 · · 59.1 22 7131.8 13725.3 25.4 17910.3 35.4 9823.3 08.8 11649.5 59.0 23 8634.3 15229.2 25.0 19410.8 35.6 11325.3 08.6 13151.7 58.9
Mer.pass.:17:15 v3.8 d0.4 m-3.7 v0.6 d-0.2 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10136.7 16733.1 S1824.6 20911.4 S2235.9 12827.3 S1208.4 14653.9 S1758.8 1 11639.2 18237.0 24.1 22412.0 36.1 14329.3 08.2 16156.1 58.8 2 13141.7 19740.9 23.7 23912.5 36.4 15831.3 08.1 17658.3 58.7 3 14644.1 21244.8 · · 23.3 25413.1 · · 36.6 17333.2 · · 07.9 19200.4 · · 58.6 4 16146.6 22748.7 22.8 26913.6 36.8 18835.2 07.7 20702.6 58.5 5 17649.0 24252.6 22.4 28414.2 37.1 20337.2 07.5 22204.8 58.5
6 19151.5 25756.6 S1822.0 29914.7 S2237.3 21839.2 S1207.4 23707.0 S1758.4 7 20654.0 27300.5 21.6 31415.3 37.6 23341.2 07.2 25209.2 58.3 8 22156.4 28804.4 21.1 32915.8 37.8 24843.2 07.0 26711.4 58.2 9 23658.9 30308.4 · · 20.7 34416.4 · · 38.0 26345.2 · · 06.8 28213.6 · · 58.2 10 25201.4 31812.3 20.3 35916.9 38.3 27847.2 06.6 29715.8 58.1 11 26703.8 33316.2 19.8 1417.5 38.5 29349.2 06.5 31218.0 58.0
12 28206.3 34820.2 S1819.4 2918.0 S2238.8 30851.2 S1206.3 32720.1 S1757.9 13 29708.8 324.1 19.0 4418.6 39.0 32353.2 06.1 34222.3 57.9 14 31211.2 1828.1 18.6 5919.2 39.2 33855.2 05.9 35724.5 57.8 15 32713.7 3332.0 · · 18.1 7419.7 · · 39.5 35357.2 · · 05.7 1226.7 · · 57.7 16 34216.2 4836.0 17.7 8920.3 39.7 859.2 05.6 2728.9 57.6 17 35718.6 6339.9 17.3 10420.8 39.9 2401.2 05.4 4231.1 57.6
18 1221.1 7843.9 S1816.9 11921.4 S2240.2 3903.1 S1205.2 5733.3 S1757.5 19 2723.5 9347.8 16.5 13421.9 40.4 5405.1 05.0 7235.5 57.4 20 4226.0 10851.8 16.0 14922.5 40.6 6907.1 04.9 8737.6 57.3 21 5728.5 12355.7 · · 15.6 16423.0 · · 40.9 8409.1 · · 04.7 10239.8 · · 57.3 22 7230.9 13859.7 15.2 17923.6 41.1 9911.1 04.5 11742.0 57.2 23 8733.4 15403.7 14.8 19424.1 41.3 11413.1 04.3 13244.2 57.1
Mer.pass.:17:11 v3.9 d0.4 m-3.7 v0.6 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10235.9 16907.6 S1814.4 20924.7 S2241.6 12915.1 S1204.1 14746.4 S1757.0 1 11738.3 18411.6 13.9 22425.2 41.8 14417.1 04.0 16248.6 57.0 2 13240.8 19915.6 13.5 23925.8 42.0 15919.1 03.8 17750.8 56.9 3 14743.3 21419.6 · · 13.1 25426.3 · · 42.3 17421.1 · · 03.6 19253.0 · · 56.8 4 16245.7 22923.5 12.7 26926.9 42.5 18923.1 03.4 20755.1 56.7 5 17748.2 24427.5 12.3 28427.4 42.7 20425.0 03.2 22257.3 56.7
6 19250.7 25931.5 S1811.8 29928.0 S2243.0 21927.0 S1203.1 23759.5 S1756.6 7 20753.1 27435.5 11.4 31428.5 43.2 23429.0 02.9 25301.7 56.5 8 22255.6 28939.5 11.0 32929.1 43.4 24931.0 02.7 26803.9 56.4 9 23758.0 30443.5 · · 10.6 34429.6 · · 43.6 26433.0 · · 02.5 28306.1 · · 56.4 10 25300.5 31947.5 10.2 35930.2 43.9 27935.0 02.3 29808.3 56.3 11 26803.0 33451.5 09.8 1430.7 44.1 29437.0 02.2 31310.5 56.2
12 28305.4 34955.5 S1809.4 2931.3 S2244.3 30939.0 S1202.0 32812.6 S1756.1 13 29807.9 459.5 08.9 4431.8 44.6 32441.0 01.8 34314.8 56.1 14 31310.4 2003.5 08.5 5932.4 44.8 33943.0 01.6 35817.0 56.0 15 32812.8 3507.5 · · 08.1 7432.9 · · 45.0 35444.9 · · 01.4 1319.2 · · 55.9 16 34315.3 5011.5 07.7 8933.5 45.2 946.9 01.3 2821.4 55.8 17 35817.8 6515.5 07.3 10434.0 45.5 2448.9 01.1 4323.6 55.7
18 1320.2 8019.5 S1806.9 11934.6 S2245.7 3950.9 S1200.9 5825.8 S1755.7 19 2822.7 9523.5 06.5 13435.1 45.9 5452.9 00.7 7327.9 55.6 20 4325.2 11027.5 06.1 14935.6 46.1 6954.9 00.5 8830.1 55.5 21 5827.6 12531.5 · · 05.6 16436.2 · · 46.4 8456.9 · · 00.4 10332.3 · · 55.4 22 7330.1 14035.5 05.2 17936.7 46.6 9958.9 00.2 11834.5 55.4 23 8832.5 15539.5 04.8 19437.3 46.8 11500.9 00.0 13336.7 55.3
Mer.pass.:17:07 v4.0 d0.4 m-3.7 v0.6 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Stars SHA Dec
Alpheratz 35737.4 2912.8 Ankaa 35309.7 -4211.5
Schedar 34933.8 5639.7 Diphda 34849.8 -1752.2
Achernar 33522.0 -5707.9 Hamal 32753.8 2334.0 Polaris 31453.2 8921.6 Acamar 31513.4 -4013.3 Menkar 31408.5 410.5 Mirfak 30831.4 4956.4
Aldebaran 29042.2 1633.2 Rigel 28105.9 -810.7
Capella 28025.1 4601.2 Bellatrix 27825.2 622.1 Elnath 27804.6 2837.5 Alnilam 27539.9 -111.3
Betelgeuse 27054.4 724.6 Canopus 26352.9 -5242.5
Sirius 25828.1 -1644.8 Adhara 25507.4 -2900.1 Procyon 24453.1 510.1 Pollux 24320.0 2758.3 Avior 23415.1 -5934.6 Suhail 22247.7 -4331.1
Miaplacidus 22137.9 -6948.2 Alphard 21749.9 -845.2 Regulus 20736.9 1151.6 Dubhe 19343.8 6137.7
Denebola 18227.4 1426.9 Gienah 17546.1 -1739.7 Acrux 17302.7 -6312.9
Gacrux 17154.3 -5713.8 Alioth 16615.2 5550.2 Spica 15825.0 -1116.4 Alkaid 15254.2 4912.0 Hadar 14839.7 -6028.4
Menkent 14800.7 -3628.4 Arcturus 14550.3 1904.0
Rigil Kent. 13944.0 -6055.2 Kochab 13720.5 7403.7
Zuben’ubi 13658.9 -1607.8 Alphecca 12606.1 2638.4 Antares 11219.2 -2628.7
Atria 10716.1 -6903.8 Sabik 10205.9 -1545.1
Shaula 9614.1 -3707.1 Rasalhague 9601.2 1232.6
Eltanin 9043.9 5129.1 Kaus Aust. 8336.2 -3422.4
Vega 8035.3 3848.2 Nunki 7551.2 -2616.2 Altair 6202.7 855.6
Peacock 5310.2 -5640.0 Deneb 4927.9 4521.6
Enif 3341.5 958.5 Al Na’ir 2736.4 -4651.5
Fomalhaut 1517.4 -2930.6 Scheat 1347.7 2812.2 Markab 1332.5 1519.4
Jan 01 Sat SHA Mer.pass Venus 6522.5 12:53 Mars 10820.4 10:04
Jupiter 2701.8 15:27 Saturn 4523.7 14:14
Jan 02 Sun SHA Mer.pass Venus 6556.3 12:46 Mars 10734.7 10:03
Jupiter 2650.5 15:24 Saturn 4517.2 14:10
Jan 03 Mon SHA Mer.pass Venus 6631.8 12:40 Mars 10648.8 10:02
Jupiter 2639.2 15:21 Saturn 4510.5 14:07
Horizontal parallax Venus: 0.5 Mars: 0.1
2
DUT1 = UT1-UTC = -0.0741 sec T = TT-UT1 = +69.2581 sec 2022 January 01 to Jan. 03 UT
h Sun Moon Sat GHA Dec GHA ν Dec d HP
0 17910.5 S2301.2 20632.5 2.9’ S2355.2 -7.4’ 61.1’ 1 19410.2 01.0 22054.3 2.8’ 2402.5 -7.2’ 61.1’ 2 20909.9 00.8 23516.1 2.7’ 2409.6 -7.0’ 61.1’ 3 22409.6 · · 00.6 24937.8 2.6’ 2416.6 -6.9’ 61.1’ 4 23909.3 00.4 26359.4 2.6’ 2423.4 -6.7’ 61.1’ 5 25409.0 00.2 27820.9 2.5’ 2430.0 -6.5’ 61.1’
6 26908.7 S2300.0 29242.4 2.4’ S2436.4 -6.3’ 61.2’ 7 28408.4 2259.8 30703.7 2.3’ 2442.6 -6.1’ 61.2’ 8 29908.1 59.6 32125.0 2.2’ 2448.6 -6.0’ 61.2’ 9 31407.8 · · 59.4 33546.1 2.1’ 2454.5 -5.8’ 61.2’ 10 32907.5 59.2 35007.2 2.1’ 2500.2 -5.6’ 61.2’ 11 34407.2 58.9 428.3 2.0’ 2505.6 -5.4’ 61.2’
12 35906.9 S2258.7 1849.2 1.9’ S2510.9 -5.2’ 61.2’ 13 1406.6 58.5 3310.1 1.9’ 2516.0 -5.0’ 61.2’ 14 2906.3 58.3 4730.9 1.8’ 2520.9 -4.8’ 61.2’ 15 4406.0 · · 58.1 6151.7 1.7’ 2525.6 -4.6’ 61.2’ 16 5905.7 57.9 7612.4 1.7’ 2530.2 -4.4’ 61.2’ 17 7405.5 57.7 9033.0 1.6’ 2534.5 -4.2’ 61.2’
18 8905.2 S2257.5 10453.6 1.6’ S2538.6 -4.0’ 61.2’ 19 10404.9 57.2 11914.1 1.5’ 2542.5 -3.8’ 61.2’ 20 11904.6 57.0 13334.6 1.5’ 2546.2 -3.6’ 61.2’ 21 13404.3 · · 56.8 14755.0 1.4’ 2549.7 -3.4’ 61.2’ 22 14904.0 56.6 16215.4 1.4’ 2553.0 -3.2’ 61.2’ 23 16403.7 56.4 17635.8 1.3’ 2556.2 -3.0’ 61.2’
SD.=16.3 d=0.2 S.D.=16.7
Sun GHA Dec GHA ν Dec d HP
0 17903.4 S2256.1 19056.1 1.3’ S2559.1 -2.8’ 61.2’ 1 19403.1 55.9 20516.4 1.3’ 2601.8 -2.6’ 61.2’ 2 20902.8 55.7 21936.6 1.2’ 2604.3 -2.4’ 61.2’ 3 22402.5 · · 55.5 23356.9 1.2’ 2606.6 -2.2’ 61.2’ 4 23902.2 55.3 24817.1 1.2’ 2608.7 -2.0’ 61.2’ 5 25401.9 55.0 26237.2 1.2’ 2610.5 -1.8’ 61.2’
6 26901.6 S2254.8 27657.4 1.2’ S2612.2 -1.6’ 61.2’ 7 28401.3 54.6 29117.5 1.1’ 2613.7 -1.4’ 61.2’ 8 29901.1 54.4 30537.7 1.1’ 2614.9 -1.2’ 61.2’ 9 31400.8 · · 54.1 31957.8 1.1’ 2616.0 -1.0’ 61.2’ 10 32900.5 53.9 33417.9 1.1’ 2616.8 -0.7’ 61.2’ 11 34400.2 53.7 34838.0 1.1’ 2617.5 -0.5’ 61.2’
12 35859.9 S2253.4 258.2 1.1’ S2617.9 -0.3’ 61.2’ 13 1359.6 53.2 1718.3 1.1’ 2618.1 -0.1’ 61.2’ 14 2859.3 53.0 3138.4 1.1’ 2618.2 0.1’ 61.2’ 15 4359.0 · · 52.8 4558.6 1.2’ 2618.0 0.3’ 61.2’ 16 5858.7 52.5 6018.8 1.2’ 2617.6 0.5’ 61.2’ 17 7358.4 52.3 7438.9 1.2’ 2617.0 0.7’ 61.1’
18 8858.1 S2252.1 8859.2 1.2’ S2616.2 0.9’ 61.1’ 19 10357.8 51.8 10319.4 1.3’ 2615.1 1.1’ 61.1’ 20 11857.6 51.6 11739.7 1.3’ 2613.9 1.3’ 61.1’ 21 13357.3 · · 51.3 13200.0 1.3’ 2612.5 1.5’ 61.1’ 22 14857.0 51.1 14620.3 1.4’ 2610.9 1.7’ 61.1’ 23 16356.7 50.9 16040.7 1.4’ 2609.0 1.9’ 61.1’
SD.=16.3 d=0.2 S.D.=16.7
Mon GHA Dec GHA ν Dec d HP
0 17856.4 S2250.6 17501.1 1.4’ S2607.0 2.1’ 61.1’ 1 19356.1 50.4 18921.5 1.5’ 2604.7 2.3’ 61.0’ 2 20855.8 50.2 20342.0 1.5’ 2602.3 2.5’ 61.0’ 3 22355.5 · · 49.9 21802.6 1.6’ 2559.7 2.7’ 61.0’ 4 23855.2 49.7 23223.2 1.6’ 2556.8 2.9’ 61.0’ 5 25354.9 49.4 24643.9 1.7’ 2553.8 3.1’ 61.0’
6 26854.7 S2249.2 26104.6 1.8’ S2550.5 3.3’ 61.0’ 7 28354.4 48.9 27525.4 1.8’ 2547.1 3.5’ 60.9’ 8 29854.1 48.7 28946.3 1.9’ 2543.5 3.7’ 60.9’ 9 31353.8 · · 48.4 30407.2 2.0’ 2539.6 3.9’ 60.9’ 10 32853.5 48.2 31828.2 2.0’ 2535.6 4.1’ 60.9’ 11 34353.2 48.0 33249.3 2.1’ 2531.4 4.3’ 60.9’
12 35852.9 S2247.7 34710.5 2.2’ S2527.0 4.5’ 60.8’ 13 1352.6 47.5 131.7 2.3’ 2522.4 4.7’ 60.8’ 14 2852.4 47.2 1553.0 2.4’ 2517.6 4.9’ 60.8’ 15 4352.1 · · 47.0 3014.5 2.5’ 2512.7 5.1’ 60.8’ 16 5851.8 46.7 4436.0 2.5’ 2507.5 5.2’ 60.8’ 17 7351.5 46.4 5857.5 2.6’ 2502.2 5.4’ 60.7’
18 8851.2 S2246.2 7319.2 2.7’ S2456.7 5.6’ 60.7’ 19 10350.9 45.9 8741.0 2.8’ 2451.0 5.8’ 60.7’ 20 11850.6 45.7 10202.9 2.9’ 2445.1 6.0’ 60.7’ 21 13350.3 · · 45.4 11624.8 3.0’ 2439.0 6.1’ 60.6’ 22 14850.1 45.2 13046.9 3.1’ 2432.8 6.3’ 60.6’ 23 16349.8 44.9 14509.1 3.2’ 2426.4 6.5’ 60.6’
SD.=16.3 d=0.2 S.D.=16.6
Lat. Twilight
N 72 08:23 10:39 13:29 15:46
N 70 08:04 09:48 14:20 16:04 68 07:49 09:16 14:53 16:19 66 07:37 08:52 10:26 13:42 15:16 16:32 64 07:26 08:34 09:48 14:20 15:35 16:42 62 07:17 08:18 09:22 14:46 15:50 16:51 60 07:09 08:05 09:02 15:07 16:03 16:59
N 58 07:02 07:54 08:45 15:23 16:14 17:06 56 06:55 07:44 08:31 15:37 16:24 17:13 54 06:50 07:35 08:19 15:50 16:33 17:19 52 06:44 07:27 08:08 16:00 16:41 17:24 50 06:39 07:20 07:58 16:10 16:48 17:29 45 06:28 07:05 07:38 16:30 17:03 17:41
N 40 06:18 06:52 07:22 16:46 17:17 17:51 35 06:09 06:40 07:08 17:00 17:28 18:00 30 06:00 06:30 06:56 17:12 17:38 18:08 20 05:44 06:11 06:35 17:33 17:57 18:24
N 10 05:28 05:55 06:17 17:51 18:13 18:40 0 05:12 05:38 06:00 18:08 18:30 18:56
S 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 19:17 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
S 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 01:03 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 –:–
S 60 –:– 01:09 02:45 21:23 22:56 –:–
Lat. Moonrise Moonset
N 72
N 70
68
66
64 09:35 12:09 11:40 13:45 62 08:42 10:21 11:08 12:33 13:13 14:45 60 08:10 09:40 10:34 13:05 13:55 15:19
N 58 07:47 09:12 10:09 13:30 14:23 15:44 56 07:27 08:50 09:49 13:49 14:45 16:04 54 07:11 08:32 09:32 14:06 15:03 16:20 52 06:57 08:16 09:17 14:20 15:18 16:34 50 06:45 08:03 09:05 14:32 15:32 16:47 45 06:20 07:36 08:39 14:58 15:59 17:12
N 40 06:01 07:14 08:18 15:18 16:21 17:32 35 05:44 06:56 08:01 15:35 16:39 17:49 30 05:30 06:41 07:46 15:50 16:54 18:04 20 05:06 06:15 07:20 16:15 17:20 18:28
N 10 04:45 05:53 06:59 16:37 17:43 18:49 0 04:26 05:32 06:38 16:57 18:03 19:09
S 10 04:07 05:11 06:18 17:17 18:24 19:28 20 03:46 04:49 05:56 17:39 18:47 19:49 30 03:23 04:23 05:30 18:04 19:12 20:13 35 03:09 04:08 05:15 18:19 19:28 20:27 40 02:53 03:50 04:58 18:36 19:45 20:43 45 02:35 03:29 04:37 18:57 20:06 21:03
S 50 02:11 03:03 04:11 19:23 20:33 21:26 52 02:00 02:50 03:58 19:35 20:46 21:38 54 01:48 02:35 03:43 19:50 21:01 21:51 56 01:33 02:18 03:26 20:07 21:18 22:06 58 01:17 01:58 03:05 20:27 21:39 22:23
S 60 00:56 01:32 02:39 20:53 22:05 22:44
Day
Sun Moon Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 28-1 mm:ss mm:ss hh:mm hh:mm hh:mm 2-1%
01 03:18 03:32 12:04 10:41 23:14 02 03:46 04:00 12:04 11:48 –:– 03 04:14 04:28 12:04 12:54 00:21
3
January 04, 05, 06 UT (Tue., Wed., Thu.)
Aries Venus Mars Jupiter Saturn Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10335.0 17043.6 S1804.4 20937.8 S2247.0 13002.8 S1159.8 14838.9 S1755.2 1 11837.5 18547.6 04.0 22438.4 47.3 14504.8 59.6 16341.1 55.1 2 13339.9 20051.6 03.6 23938.9 47.5 16006.8 59.5 17843.3 55.1 3 14842.4 21555.6 · · 03.2 25439.5 · · 47.7 17508.8 · · 59.3 19345.4 · · 55.0 4 16344.9 23059.7 02.8 26940.0 47.9 19010.8 59.1 20847.6 54.9 5 17847.3 24603.7 02.4 28440.6 48.2 20512.8 58.9 22349.8 54.8
6 19349.8 26107.7 S1802.0 29941.1 S2248.4 22014.8 S1158.7 23852.0 S1754.8 7 20852.3 27611.8 01.6 31441.7 48.6 23516.7 58.6 25354.2 54.7 8 22354.7 29115.8 01.2 32942.2 48.8 25018.7 58.4 26856.4 54.6 9 23857.2 30619.8 · · 00.8 34442.7 · · 49.0 26520.7 · · 58.2 28358.6 · · 54.5 10 25359.7 32123.9 00.4 35943.3 49.3 28022.7 58.0 29900.7 54.5 11 26902.1 33627.9 1800.0 1443.8 49.5 29524.7 57.8 31402.9 54.4
12 28404.6 35132.0 S1759.6 2944.4 S2249.7 31026.7 S1157.6 32905.1 S1754.3 13 29907.0 636.0 59.2 4444.9 49.9 32528.7 57.5 34407.3 54.2 14 31409.5 2140.1 58.8 5945.5 50.1 34030.7 57.3 35909.5 54.1 15 32912.0 3644.1 · · 58.4 7446.0 · · 50.4 35532.6 · · 57.1 1411.7 · · 54.1 16 34414.4 5148.2 58.0 8946.6 50.6 1034.6 56.9 2913.8 54.0 17 35916.9 6652.2 57.6 10447.1 50.8 2536.6 56.7 4416.0 53.9
18 1419.4 8156.3 S1757.2 11947.6 S2251.0 4038.6 S1156.6 5918.2 S1753.8 19 2921.8 9700.3 56.8 13448.2 51.2 5540.6 56.4 7420.4 53.8 20 4424.3 11204.4 56.4 14948.7 51.4 7042.6 56.2 8922.6 53.7 21 5926.8 12708.4 · · 56.0 16449.3 · · 51.7 8544.5 · · 56.0 10424.8 · · 53.6 22 7429.2 14212.5 55.6 17949.8 51.9 10046.5 55.8 11927.0 53.5 23 8931.7 15716.6 55.2 19450.4 52.1 11548.5 55.6 13429.1 53.5
Mer.pass.:17:03 v4.0 d0.4 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10434.1 17220.6 S1754.8 20950.9 S2252.3 13050.5 S1155.5 14931.3 S1753.4 1 11936.6 18724.7 54.4 22451.4 52.5 14552.5 55.3 16433.5 53.3 2 13439.1 20228.8 54.0 23952.0 52.7 16054.5 55.1 17935.7 53.2 3 14941.5 21732.8 · · 53.6 25452.5 · · 52.9 17556.5 · · 54.9 19437.9 · · 53.2 4 16444.0 23236.9 53.2 26953.1 53.2 19058.4 54.7 20940.1 53.1 5 17946.5 24741.0 52.8 28453.6 53.4 20600.4 54.6 22442.3 53.0
6 19448.9 26245.0 S1752.4 29954.2 S2253.6 22102.4 S1154.4 23944.4 S1752.9 7 20951.4 27749.1 52.0 31454.7 53.8 23604.4 54.2 25446.6 52.8 8 22453.9 29253.2 51.7 32955.2 54.0 25106.4 54.0 26948.8 52.8 9 23956.3 30757.3 · · 51.3 34455.8 · · 54.2 26608.4 · · 53.8 28451.0 · · 52.7 10 25458.8 32301.3 50.9 35956.3 54.4 28110.3 53.6 29953.2 52.6 11 27001.3 33805.4 50.5 1456.9 54.6 29612.3 53.5 31455.4 52.5
12 28503.7 35309.5 S1750.1 2957.4 S2254.9 31114.3 S1153.3 32957.5 S1752.5 13 30006.2 813.6 49.7 4457.9 55.1 32616.3 53.1 34459.7 52.4 14 31508.6 2317.7 49.3 5958.5 55.3 34118.3 52.9 001.9 52.3 15 33011.1 3821.7 · · 48.9 7459.0 · · 55.5 35620.3 · · 52.7 1504.1 · · 52.2 16 34513.6 5325.8 48.5 8959.6 55.7 1122.2 52.5 3006.3 52.2 17 016.0 6829.9 48.2 10500.1 55.9 2624.2 52.4 4508.5 52.1
18 1518.5 8334.0 S1747.8 12000.6 S2256.1 4126.2 S1152.2 6010.6 S1752.0 19 3021.0 9838.1 47.4 13501.2 56.3 5628.2 52.0 7512.8 51.9 20 4523.4 11342.2 47.0 15001.7 56.5 7130.2 51.8 9015.0 51.8 21 6025.9 12846.3 · · 46.6 16502.3 · · 56.7 8632.1 · · 51.6 10517.2 · · 51.8 22 7528.4 14350.4 46.2 18002.8 56.9 10134.1 51.4 12019.4 51.7 23 9030.8 15854.5 45.9 19503.3 57.1 11636.1 51.3 13521.6 51.6
Mer.pass.:16:59 v4.1 d0.4 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10533.3 17358.6 S1745.5 21003.9 S2257.3 13138.1 S1151.1 15023.7 S1751.5 1 12035.8 18902.7 45.1 22504.4 57.6 14640.1 50.9 16525.9 51.5 2 13538.2 20406.8 44.7 24005.0 57.8 16142.1 50.7 18028.1 51.4 3 15040.7 21910.9 · · 44.3 25505.5 · · 58.0 17644.0 · · 50.5 19530.3 · · 51.3 4 16543.1 23415.0 44.0 27006.0 58.2 19146.0 50.3 21032.5 51.2 5 18045.6 24919.1 43.6 28506.6 58.4 20648.0 50.2 22534.7 51.2
6 19548.1 26423.2 S1743.2 30007.1 S2258.6 22150.0 S1150.0 24036.8 S1751.1 7 21050.5 27927.3 42.8 31507.6 58.8 23652.0 49.8 25539.0 51.0 8 22553.0 29431.4 42.5 33008.2 59.0 25153.9 49.6 27041.2 50.9 9 24055.5 30935.5 · · 42.1 34508.7 · · 59.2 26655.9 · · 49.4 28543.4 · · 50.8 10 25557.9 32439.6 41.7 009.3 59.4 28157.9 49.2 30045.6 50.8 11 27100.4 33943.7 41.3 1509.8 59.6 29659.9 49.1 31547.8 50.7
12 28602.9 35447.8 S1740.9 3010.3 S2259.8 31201.9 S1148.9 33049.9 S1750.6 13 30105.3 951.9 40.6 4510.9 2300.0 32703.8 48.7 34552.1 50.5 14 31607.8 2456.0 40.2 6011.4 00.2 34205.8 48.5 054.3 50.5 15 33110.3 4000.1 · · 39.8 7511.9 · · 00.4 35707.8 · · 48.3 1556.5 · · 50.4 16 34612.7 5504.2 39.5 9012.5 00.6 1209.8 48.1 3058.7 50.3 17 115.2 7008.3 39.1 10513.0 00.8 2711.8 47.9 4600.8 50.2
18 1617.6 8512.4 S1738.7 12013.5 S2301.0 4213.7 S1147.8 6103.0 S1750.1 19 3120.1 10016.6 38.3 13514.1 01.2 5715.7 47.6 7605.2 50.1 20 4622.6 11520.7 38.0 15014.6 01.4 7217.7 47.4 9107.4 50.0 21 6125.0 13024.8 · · 37.6 16515.1 · · 01.6 8719.7 · · 47.2 10609.6 · · 49.9 22 7627.5 14528.9 37.2 18015.7 01.8 10221.6 47.0 12111.8 49.8 23 9130.0 16033.0 36.9 19516.2 02.0 11723.6 46.8 13613.9 49.8
Mer.pass.:16:55 v4.1 d0.4 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Stars SHA Dec
Alpheratz 35737.4 2912.8 Ankaa 35309.7 -4211.5
Schedar 34933.8 5639.7 Diphda 34849.8 -1752.2
Achernar 33522.0 -5707.9 Hamal 32753.8 2334.0 Polaris 31454.3 8921.6 Acamar 31513.4 -4013.3 Menkar 31408.5 410.5 Mirfak 30831.4 4956.4
Aldebaran 29042.1 1633.2 Rigel 28105.9 -810.7
Capella 28025.1 4601.2 Bellatrix 27825.2 622.1 Elnath 27804.6 2837.5 Alnilam 27539.9 -111.3
Betelgeuse 27054.4 724.6 Canopus 26352.9 -5242.5
Sirius 25828.1 -1644.8 Adhara 25507.4 -2900.1 Procyon 24453.1 510.1 Pollux 24320.0 2758.3 Avior 23415.1 -5934.6 Suhail 22247.7 -4331.1
Miaplacidus 22137.9 -6948.2 Alphard 21749.9 -845.2 Regulus 20736.8 1151.6 Dubhe 19343.8 6137.7
Denebola 18227.4 1426.9 Gienah 17546.1 -1739.7 Acrux 17302.7 -6312.9
Gacrux 17154.3 -5713.8 Alioth 16615.2 5550.2 Spica 15824.9 -1116.4 Alkaid 15254.1 4912.0 Hadar 14839.7 -6028.4
Menkent 14800.6 -3628.4 Arcturus 14550.3 1904.0
Rigil Kent. 13943.9 -6055.2 Kochab 13720.5 7403.6
Zuben’ubi 13658.9 -1607.9 Alphecca 12606.1 2638.3 Antares 11219.2 -2628.7
Atria 10716.1 -6903.8 Sabik 10205.9 -1545.1
Shaula 9614.1 -3707.1 Rasalhague 9601.2 1232.6
Eltanin 9043.9 5129.1 Kaus Aust. 8336.2 -3422.4
Vega 8035.3 3848.2 Nunki 7551.2 -2616.2 Altair 6202.7 855.5
Peacock 5310.2 -5640.0 Deneb 4927.9 4521.6
Enif 3341.5 958.5 Al Na’ir 2736.4 -4651.5
Fomalhaut 1517.4 -2930.6 Scheat 1347.7 2812.2 Markab 1332.5 1519.4
Jan 04 Tue SHA Mer.pass Venus 6708.6 12:34 Mars 10602.8 10:01
Jupiter 2627.8 15:18 Saturn 4503.9 14:03
Jan 05 Wed SHA Mer.pass Venus 6746.5 12:27 Mars 10516.8 10:00
Jupiter 2616.4 15:15 Saturn 4457.2 14:00
Jan 06 Thu SHA Mer.pass Venus 6825.3 12:21 Mars 10430.6 09:59
Jupiter 2604.8 15:11 Saturn 4450.5 13:56
Horizontal parallax Venus: 0.5 Mars: 0.1
4
DUT1 = UT1-UTC = -0.0722 sec T = TT-UT1 = +69.2562 sec 2022 January 04 to Jan. 06 UT
h Sun Moon Tue GHA Dec GHA ν Dec d HP
0 17849.5 S2244.7 15931.3 3.3’ S2419.8 6.7’ 60.6’ 1 19349.2 44.4 17353.7 3.4’ 2413.1 6.8’ 60.5’ 2 20848.9 44.1 18816.2 3.5’ 2406.2 7.0’ 60.5’ 3 22348.6 · · 43.9 20238.8 3.7’ 2359.1 7.2’ 60.5’ 4 23848.3 43.6 21701.5 3.8’ 2351.9 7.3’ 60.5’ 5 25348.1 43.4 23124.4 3.9’ 2344.5 7.5’ 60.4’
6 26847.8 S2243.1 24547.3 4.0’ S2336.9 7.6’ 60.4’ 7 28347.5 42.8 26010.4 4.1’ 2329.2 7.8’ 60.4’ 8 29847.2 42.6 27433.5 4.2’ 2321.3 8.0’ 60.3’ 9 31346.9 · · 42.3 28856.8 4.4’ 2313.2 8.1’ 60.3’ 10 32846.6 42.0 30320.2 4.5’ 2305.0 8.3’ 60.3’ 11 34346.4 41.8 31743.8 4.6’ 2256.7 8.4’ 60.3’
12 35846.1 S2241.5 33207.4 4.7’ S2248.2 8.6’ 60.2’ 13 1345.8 41.2 34631.2 4.8’ 2239.6 8.7’ 60.2’ 14 2845.5 41.0 055.1 5.0’ 2230.8 8.9’ 60.2’ 15 4345.2 · · 40.7 1519.2 5.1’ 2221.9 9.0’ 60.1’ 16 5844.9 40.4 2943.3 5.2’ 2212.8 9.1’ 60.1’ 17 7344.7 40.2 4407.6 5.3’ 2203.6 9.3’ 60.1’
18 8844.4 S2239.9 5832.0 5.5’ S2154.2 9.4’ 60.0’ 19 10344.1 39.6 7256.5 5.6’ 2144.8 9.5’ 60.0’ 20 11843.8 39.3 8721.2 5.7’ 2135.1 9.7’ 60.0’ 21 13343.5 · · 39.1 10146.0 5.9’ 2125.4 9.8’ 59.9’ 22 14843.2 38.8 11610.9 6.0’ 2115.5 9.9’ 59.9’ 23 16343.0 38.5 13036.0 6.1’ 2105.5 10.1’ 59.9’
SD.=16.3 d=0.3 S.D.=16.4
Wed GHA Dec GHA ν Dec d HP
0 17842.7 S2238.2 14501.1 6.2’ S2055.4 10.2’ 59.8’ 1 19342.4 38.0 15926.5 6.4’ 2045.2 10.3’ 59.8’ 2 20842.1 37.7 17351.9 6.5’ 2034.8 10.4’ 59.8’ 3 22341.8 · · 37.4 18817.5 6.6’ 2024.3 10.5’ 59.7’ 4 23841.6 37.1 20243.2 6.8’ 2013.7 10.7’ 59.7’ 5 25341.3 36.8 21709.0 6.9’ 2003.0 10.8’ 59.7’
6 26841.0 S2236.6 23135.0 7.0’ S1952.2 10.9’ 59.6’ 7 28340.7 36.3 24601.1 7.2’ 1941.3 11.0’ 59.6’ 8 29840.4 36.0 26027.3 7.3’ 1930.2 11.1’ 59.5’ 9 31340.2 · · 35.7 27453.7 7.4’ 1919.1 11.2’ 59.5’ 10 32839.9 35.4 28920.1 7.6’ 1907.8 11.3’ 59.5’ 11 34339.6 35.1 30346.8 7.7’ 1856.5 11.4’ 59.4’
12 35839.3 S2234.9 31813.5 7.8’ S1845.0 11.5’ 59.4’ 13 1339.0 34.6 33240.4 7.9’ 1833.5 11.6’ 59.4’ 14 2838.8 34.3 34707.4 8.1’ 1821.8 11.7’ 59.3’ 15 4338.5 · · 34.0 134.5 8.2’ 1810.1 11.8’ 59.3’ 16 5838.2 33.7 1601.8 8.3’ 1758.3 11.9’ 59.2’ 17 7337.9 33.4 3029.1 8.4’ 1746.4 12.0’ 59.2’
18 8837.7 S2233.1 4456.7 8.6’ S1734.4 12.0’ 59.2’ 19 10337.4 32.8 5924.3 8.7’ 1722.3 12.1’ 59.1’ 20 11837.1 32.5 7352.1 8.8’ 1710.1 12.2’ 59.1’ 21 13336.8 · · 32.3 8819.9 8.9’ 1657.8 12.3’ 59.0’ 22 14836.5 32.0 10247.9 9.1’ 1645.5 12.4’ 59.0’ 23 16336.3 31.7 11716.1 9.2’ 1633.1 12.5’ 59.0’
SD.=16.3 d=0.3 S.D.=16.2
Thu GHA Dec GHA ν Dec d HP
0 17836.0 S2231.4 13144.3 9.3’ S1620.6 12.5’ 58.9’ 1 19335.7 31.1 14612.7 9.4’ 1608.0 12.6’ 58.9’ 2 20835.4 30.8 16041.2 9.6’ 1555.4 12.7’ 58.8’ 3 22335.2 · · 30.5 17509.8 9.7’ 1542.7 12.7’ 58.8’ 4 23834.9 30.2 18938.6 9.8’ 1529.9 12.8’ 58.8’ 5 25334.6 29.9 20407.4 9.9’ 1517.1 12.9’ 58.7’
6 26834.3 S2229.6 21836.4 10.0’ S1504.2 12.9’ 58.7’ 7 28334.1 29.3 23305.5 10.1’ 1451.2 13.0’ 58.6’ 8 29833.8 29.0 24734.7 10.3’ 1438.2 13.1’ 58.6’ 9 31333.5 · · 28.7 26204.0 10.4’ 1425.1 13.1’ 58.6’ 10 32833.2 28.4 27633.4 10.5’ 1412.0 13.2’ 58.5’ 11 34333.0 28.1 29103.0 10.6’ 1358.7 13.2’ 58.5’
12 35832.7 S2227.8 30532.6 10.7’ S1345.5 13.3’ 58.4’ 13 1332.4 27.5 32002.4 10.8’ 1332.2 13.3’ 58.4’ 14 2832.1 27.2 33432.3 10.9’ 1318.8 13.4’ 58.4’ 15 4331.9 · · 26.8 34902.2 11.0’ 1305.4 13.4’ 58.3’ 16 5831.6 26.5 332.3 11.1’ 1251.9 13.5’ 58.3’ 17 7331.3 26.2 1802.5 11.2’ 1238.4 13.5’ 58.2’
18 8831.0 S2225.9 3232.8 11.3’ S1224.9 13.6’ 58.2’ 19 10330.8 25.6 4703.2 11.4’ 1211.3 13.6’ 58.2’ 20 11830.5 25.3 6133.7 11.6’ 1157.7 13.7’ 58.1’ 21 13330.2 · · 25.0 7604.3 11.7’ 1144.0 13.7’ 58.1’ 22 14830.0 24.7 9035.0 11.8’ 1130.3 13.7’ 58.0’ 23 16329.7 24.4 10505.8 11.8’ 1116.5 13.8’ 58.0’
SD.=16.3 d=0.3 S.D.=15.9
Lat. Twilight
N 72 08:19 10:30 13:42 15:52
N 70 08:01 09:43 14:29 16:10 68 07:47 09:12 11:29 12:42 14:59 16:24 66 07:35 08:49 10:20 13:51 15:22 16:36 64 07:25 08:31 09:45 14:27 15:40 16:46 62 07:16 08:17 09:19 14:52 15:55 16:55 60 07:08 08:04 09:00 15:11 16:07 17:03
N 58 07:01 07:53 08:43 15:28 16:18 17:10 56 06:55 07:43 08:30 15:41 16:28 17:16 54 06:49 07:35 08:18 15:53 16:36 17:22 52 06:44 07:27 08:07 16:04 16:44 17:27 50 06:39 07:20 07:58 16:13 16:51 17:32 45 06:28 07:05 07:38 16:33 17:06 17:43
N 40 06:18 06:52 07:22 16:49 17:19 17:53 35 06:09 06:41 07:09 17:02 17:30 18:02 30 06:01 06:30 06:57 17:14 17:40 18:10 20 05:45 06:12 06:36 17:35 17:58 18:26
N 10 05:30 05:56 06:18 17:52 18:15 18:41 0 05:13 05:39 06:02 18:09 18:31 18:58
S 10 04:55 05:22 05:45 18:26 18:49 19:16 20 04:33 05:02 05:26 18:44 19:09 19:37 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
S 50 02:14 03:16 04:00 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 –:–
S 60 –:– 01:19 02:50 21:20 22:49 –:–
Lat. Moonrise Moonset
N 72 12:54 19:03
N 70 13:22 12:28 16:45 19:26 68 12:38 12:09 17:28 19:44 66 12:38 12:08 11:53 15:27 17:56 19:58 64 11:53 11:46 11:40 16:12 18:18 20:10 62 11:23 11:28 11:29 16:41 18:35 20:20 60 11:00 11:12 11:19 17:03 18:49 20:28
N 58 10:41 11:00 11:11 17:21 19:01 20:36 56 10:26 10:48 11:04 17:37 19:11 20:42 54 10:12 10:39 10:57 17:49 19:20 20:48 52 10:00 10:30 10:51 18:01 19:28 20:53 50 09:50 10:22 10:46 18:11 19:36 20:57 45 09:28 10:05 10:34 18:32 19:51 21:07
N 40 09:10 09:51 10:24 18:48 20:04 21:16 35 08:55 09:39 10:16 19:03 20:14 21:23 30 08:42 09:29 10:08 19:15 20:24 21:29 20 08:19 09:11 09:55 19:36 20:40 21:39
N 10 08:00 08:55 09:44 19:54 20:53 21:48 0 07:42 08:40 09:33 20:10 21:06 21:57
S 10 07:23 08:26 09:23 20:27 21:19 22:05 20 07:04 08:10 09:11 20:45 21:32 22:14 30 06:41 07:51 08:58 21:05 21:48 22:25 35 06:28 07:41 08:51 21:16 21:57 22:30 40 06:12 07:28 08:42 21:30 22:07 22:37 45 05:54 07:14 08:32 21:45 22:18 22:45
S 50 05:31 06:56 08:19 22:05 22:32 22:54 52 05:20 06:47 08:13 22:14 22:39 22:58 54 05:07 06:38 08:07 22:24 22:46 23:02 56 04:53 06:27 08:00 22:35 22:54 23:07 58 04:36 06:15 07:52 22:48 23:03 23:13
S 60 04:15 06:00 07:42 23:04 23:14 23:19
Day
Sun Moon Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 2-4 mm:ss mm:ss hh:mm hh:mm hh:mm 5-19%
04 04:42 04:56 12:05 13:56 01:25 05 05:09 05:23 12:05 14:53 02:26 06 05:36 05:49 12:06 15:45 03:20
5
January 07, 08, 09 UT (Fri., Sat., Sun.)
Aries Venus Mars Jupiter Saturn Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10632.4 17537.1 S1736.5 21016.7 S2302.2 13225.6 S1146.6 15116.1 S1749.7 1 12134.9 19041.3 36.1 22517.3 02.4 14727.6 46.5 16618.3 49.6 2 13637.4 20545.4 35.8 24017.8 02.6 16229.6 46.3 18120.5 49.5 3 15139.8 22049.5 · · 35.4 25518.4 · · 02.8 17731.5 · · 46.1 19622.7 · · 49.5 4 16642.3 23553.6 35.0 27018.9 03.0 19233.5 45.9 21124.9 49.4 5 18144.7 25057.7 34.7 28519.4 03.2 20735.5 45.7 22627.0 49.3
6 19647.2 26601.8 S1734.3 30020.0 S2303.4 22237.5 S1145.5 24129.2 S1749.2 7 21149.7 28106.0 34.0 31520.5 03.5 23739.4 45.4 25631.4 49.1 8 22652.1 29610.1 33.6 33021.0 03.7 25241.4 45.2 27133.6 49.1 9 24154.6 31114.2 · · 33.2 34521.6 · · 03.9 26743.4 · · 45.0 28635.8 · · 49.0 10 25657.1 32618.3 32.9 022.1 04.1 28245.4 44.8 30137.9 48.9 11 27159.5 34122.5 32.5 1522.6 04.3 29747.4 44.6 31640.1 48.8
12 28702.0 35626.6 S1732.1 3023.2 S2304.5 31249.3 S1144.4 33142.3 S1748.8 13 30204.5 1130.7 31.8 4523.7 04.7 32751.3 44.2 34644.5 48.7 14 31706.9 2634.8 31.4 6024.2 04.9 34253.3 44.1 146.7 48.6 15 33209.4 4138.9 · · 31.1 7524.8 · · 05.1 35755.3 · · 43.9 1648.8 · · 48.5 16 34711.9 5643.1 30.7 9025.3 05.3 1257.2 43.7 3151.0 48.4 17 214.3 7147.2 30.4 10525.8 05.5 2759.2 43.5 4653.2 48.4
18 1716.8 8651.3 S1730.0 12026.3 S2305.7 4301.2 S1143.3 6155.4 S1748.3 19 3219.2 10155.5 29.7 13526.9 05.8 5803.2 43.1 7657.6 48.2 20 4721.7 11659.6 29.3 15027.4 06.0 7305.1 42.9 9159.8 48.1 21 6224.2 13203.7 · · 28.9 16527.9 · · 06.2 8807.1 · · 42.7 10701.9 · · 48.0 22 7726.6 14707.8 28.6 18028.5 06.4 10309.1 42.6 12204.1 48.0 23 9229.1 16212.0 28.2 19529.0 06.6 11811.1 42.4 13706.3 47.9
Mer.pass.:16:51 v4.1 d0.4 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10731.6 17716.1 S1727.9 21029.5 S2306.8 13313.0 S1142.2 15208.5 S1747.8 1 12234.0 19220.2 27.5 22530.1 07.0 14815.0 42.0 16710.7 47.7 2 13736.5 20724.3 27.2 24030.6 07.2 16317.0 41.8 18212.8 47.7 3 15239.0 22228.5 · · 26.8 25531.1 · · 07.3 17819.0 · · 41.6 19715.0 · · 47.6 4 16741.4 23732.6 26.5 27031.7 07.5 19320.9 41.4 21217.2 47.5 5 18243.9 25236.7 26.1 28532.2 07.7 20822.9 41.3 22719.4 47.4
6 19746.4 26740.8 S1725.8 30032.7 S2307.9 22324.9 S1141.1 24221.6 S1747.3 7 21248.8 28245.0 25.4 31533.2 08.1 23826.9 40.9 25723.7 47.3 8 22751.3 29749.1 25.1 33033.8 08.3 25328.8 40.7 27225.9 47.2 9 24253.7 31253.2 · · 24.8 34534.3 · · 08.5 26830.8 · · 40.5 28728.1 · · 47.1 10 25756.2 32757.4 24.4 034.8 08.6 28332.8 40.3 30230.3 47.0 11 27258.7 34301.5 24.1 1535.4 08.8 29834.8 40.1 31732.5 47.0
12 28801.1 35805.6 S1723.7 3035.9 S2309.0 31336.7 S1139.9 33234.6 S1746.9 13 30303.6 1309.7 23.4 4536.4 09.2 32838.7 39.8 34736.8 46.8 14 31806.1 2813.9 23.0 6036.9 09.4 34340.7 39.6 239.0 46.7 15 33308.5 4318.0 · · 22.7 7537.5 · · 09.6 35842.7 · · 39.4 1741.2 · · 46.6 16 34811.0 5822.1 22.3 9038.0 09.7 1344.6 39.2 3243.4 46.6 17 313.5 7326.3 22.0 10538.5 09.9 2846.6 39.0 4745.5 46.5
18 1815.9 8830.4 S1721.7 12039.1 S2310.1 4348.6 S1138.8 6247.7 S1746.4 19 3318.4 10334.5 21.3 13539.6 10.3 5850.5 38.6 7749.9 46.3 20 4820.8 11838.6 21.0 15040.1 10.5 7352.5 38.4 9252.1 46.2 21 6323.3 13342.8 · · 20.7 16540.6 · · 10.6 8854.5 · · 38.3 10754.3 · · 46.2 22 7825.8 14846.9 20.3 18041.2 10.8 10356.5 38.1 12256.4 46.1 23 9328.2 16351.0 20.0 19541.7 11.0 11858.4 37.9 13758.6 46.0
Mer.pass.:16:47 v4.1 d0.4 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10830.7 17855.1 S1719.6 21042.2 S2311.2 13400.4 S1137.7 15300.8 S1745.9 1 12333.2 19359.3 19.3 22542.8 11.4 14902.4 37.5 16803.0 45.9 2 13835.6 20903.4 19.0 24043.3 11.5 16404.4 37.3 18305.2 45.8 3 15338.1 22407.5 · · 18.6 25543.8 · · 11.7 17906.3 · · 37.1 19807.3 · · 45.7 4 16840.6 23911.6 18.3 27044.3 11.9 19408.3 36.9 21309.5 45.6 5 18343.0 25415.8 18.0 28544.9 12.1 20910.3 36.8 22811.7 45.5
6 19845.5 26919.9 S1717.6 30045.4 S2312.2 22412.2 S1136.6 24313.9 S1745.5 7 21348.0 28424.0 17.3 31545.9 12.4 23914.2 36.4 25816.0 45.4 8 22850.4 29928.1 17.0 33046.4 12.6 25416.2 36.2 27318.2 45.3 9 24352.9 31432.3 · · 16.7 34547.0 · · 12.8 26918.2 · · 36.0 28820.4 · · 45.2 10 25855.3 32936.4 16.3 047.5 12.9 28420.1 35.8 30322.6 45.1 11 27357.8 34440.5 16.0 1548.0 13.1 29922.1 35.6 31824.8 45.1
12 28900.3 35944.6 S1715.7 3048.5 S2313.3 31424.1 S1135.4 33326.9 S1745.0 13 30402.7 1448.7 15.3 4549.1 13.5 32926.0 35.2 34829.1 44.9 14 31905.2 2952.9 15.0 6049.6 13.6 34428.0 35.1 331.3 44.8 15 33407.7 4457.0 · · 14.7 7550.1 · · 13.8 35930.0 · · 34.9 1833.5 · · 44.8 16 34910.1 6001.1 14.4 9050.6 14.0 1431.9 34.7 3335.7 44.7 17 412.6 7505.2 14.0 10551.2 14.2 2933.9 34.5 4837.8 44.6
18 1915.1 9009.3 S1713.7 12051.7 S2314.3 4435.9 S1134.3 6340.0 S1744.5 19 3417.5 10513.5 13.4 13552.2 14.5 5937.9 34.1 7842.2 44.4 20 4920.0 12017.6 13.1 15052.7 14.7 7439.8 33.9 9344.4 44.4 21 6422.4 13521.7 · · 12.8 16553.3 · · 14.8 8941.8 · · 33.7 10846.5 · · 44.3 22 7924.9 15025.8 12.4 18053.8 15.0 10443.8 33.5 12348.7 44.2 23 9427.4 16529.9 12.1 19554.3 15.2 11945.7 33.4 13850.9 44.1
Mer.pass.:16:43 v4.1 d0.3 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7
Stars SHA Dec
Alpheratz 35737.4 2912.8 Ankaa 35309.7 -4211.5
Schedar 34933.8 5639.7 Diphda 34849.8 -1752.2
Achernar 33522.0 -5707.9 Hamal 32753.9 2334.0 Polaris 31455.7 8921.7 Acamar 31513.5 -4013.3 Menkar 31408.6 410.5 Mirfak 30831.4 4956.5
Aldebaran 29042.2 1633.2 Rigel 28105.9 -810.7
Capella 28025.1 4601.2 Bellatrix 27825.2 622.1 Elnath 27804.6 2837.5 Alnilam 27539.9 -111.4
Betelgeuse 27054.4 724.6 Canopus 26352.9 -5242.5
Sirius 25828.0 -1644.8 Adhara 25507.4 -2900.1 Procyon 24453.1 510.1 Pollux 24319.9 2758.3 Avior 23415.1 -5934.7 Suhail 22247.7 -4331.1
Miaplacidus 22137.9 -6948.2 Alphard 21749.9 -845.2 Regulus 20736.8 1151.5 Dubhe 19343.7 6137.7
Denebola 18227.4 1426.9 Gienah 17546.0 -1739.7 Acrux 17302.6 -6312.9
Gacrux 17154.2 -5713.8 Alioth 16615.2 5550.2 Spica 15824.9 -1116.5 Alkaid 15254.1 4912.0 Hadar 14839.6 -6028.4
Menkent 14800.6 -3628.4 Arcturus 14550.3 1904.0
Rigil Kent. 13943.9 -6055.2 Kochab 13720.4 7403.6
Zuben’ubi 13658.9 -1607.9 Alphecca 12606.1 2638.3 Antares 11219.1 -2628.7
Atria 10716.1 -6903.8 Sabik 10205.9 -1545.1
Shaula 9614.1 -3707.1 Rasalhague 9601.2 1232.6
Eltanin 9043.8 5129.0 Kaus Aust. 8336.2 -3422.4
Vega 8035.3 3848.2 Nunki 7551.2 -2616.2 Altair 6202.7 855.5
Peacock 5310.2 -5640.0 Deneb 4927.9 4521.5
Enif 3341.5 958.5 Al Na’ir 2736.4 -4651.5
Fomalhaut 1517.5 -2930.6 Scheat 1347.8 2812.2 Markab 1332.5 1519.4
Jan 07 Fri SHA Mer.pass Venus 6904.7 12:14 Mars 10344.3 09:59
Jupiter 2553.2 15:08 Saturn 4443.7 13:53
Jan 08 Sat SHA Mer.pass Venus 6944.5 12:08 Mars 10258.0 09:58
Jupiter 2541.5 15:05 Saturn 4436.9 13:49
Jan 09 Sun SHA Mer.pass Venus 7024.4 12:01 Mars 10211.5 09:57
Jupiter 2529.7 15:02 Saturn 4430.1 13:46
Horizontal parallax Venus: 0.6 Mars: 0.1
6
DUT1 = UT1-UTC = -0.0710 sec T = TT-UT1 = +69.2550 sec 2022 January 07 to Jan. 09 UT
h Sun Moon Fri GHA Dec GHA ν Dec d HP
0 17829.4 S2224.1 11936.7 11.9’ S1102.7 13.8’ 58.0’ 1 19329.1 23.7 13407.7 12.0’ 1048.9 13.8’ 57.9’ 2 20828.9 23.4 14838.8 12.1’ 1035.0 13.9’ 57.9’ 3 22328.6 · · 23.1 16310.0 12.2’ 1021.2 13.9’ 57.8’ 4 23828.3 22.8 17741.2 12.3’ 1007.2 13.9’ 57.8’ 5 25328.1 22.5 19212.6 12.4’ 0953.3 14.0’ 57.8’
6 26827.8 S2222.2 20644.1 12.5’ S0939.3 14.0’ 57.7’ 7 28327.5 21.8 22115.6 12.6’ 0925.3 14.0’ 57.7’ 8 29827.2 21.5 23547.2 12.7’ 0911.3 14.0’ 57.6’ 9 31327.0 · · 21.2 25018.9 12.8’ 0857.3 14.1’ 57.6’ 10 32826.7 20.9 26450.7 12.8’ 0843.2 14.1’ 57.6’ 11 34326.4 20.6 27922.6 12.9’ 0829.1 14.1’ 57.5’
12 35826.2 S2220.2 29354.6 13.0’ S0815.0 14.1’ 57.5’ 13 1325.9 19.9 30826.6 13.1’ 0800.9 14.1’ 57.4’ 14 2825.6 19.6 32258.7 13.2’ 0746.7 14.2’ 57.4’ 15 4325.4 · · 19.3 33730.9 13.2’ 0732.6 14.2’ 57.4’ 16 5825.1 18.9 35203.2 13.3’ 0718.4 14.2’ 57.3’ 17 7324.8 18.6 635.6 13.4’ 0704.2 14.2’ 57.3’
18 8824.6 S2218.3 2108.0 13.5’ S0650.0 14.2’ 57.2’ 19 10324.3 17.9 3540.5 13.5’ 0635.8 14.2’ 57.2’ 20 11824.0 17.6 5013.0 13.6’ 0621.6 14.2’ 57.2’ 21 13323.8 · · 17.3 6445.7 13.7’ 0607.4 14.2’ 57.1’ 22 14823.5 17.0 7918.4 13.7’ 0553.1 14.2’ 57.1’ 23 16323.2 16.6 9351.2 13.8’ 0538.9 14.2’ 57.1’
SD.=16.3 d=0.3 S.D.=15.7
Sat GHA Dec GHA ν Dec d HP
0 17823.0 S2216.3 10824.0 13.9’ S0524.6 14.2’ 57.0’ 1 19322.7 16.0 12256.9 13.9’ 0510.4 14.3’ 57.0’ 2 20822.4 15.6 13729.9 14.0’ 0456.1 14.3’ 56.9’ 3 22322.2 · · 15.3 15202.9 14.1’ 0441.9 14.3’ 56.9’ 4 23821.9 15.0 16636.0 14.1’ 0427.6 14.3’ 56.9’ 5 25321.6 14.6 18109.1 14.2’ 0413.4 14.3’ 56.8’
6 26821.4 S2214.3 19542.3 14.2’ S0359.1 14.3’ 56.8’ 7 28321.1 13.9 21015.6 14.3’ 0344.9 14.3’ 56.8’ 8 29820.8 13.6 22448.9 14.3’ 0330.6 14.2’ 56.7’ 9 31320.6 · · 13.3 23922.3 14.4’ 0316.4 14.2’ 56.7’ 10 32820.3 12.9 25355.7 14.5’ 0302.1 14.2’ 56.6’ 11 34320.0 12.6 26829.2 14.5’ 0247.9 14.2’ 56.6’
12 35819.8 S2212.3 28302.7 14.6’ S0233.6 14.2’ 56.6’ 13 1319.5 11.9 29736.3 14.6’ 0219.4 14.2’ 56.5’ 14 2819.3 11.6 31209.9 14.6’ 0205.2 14.2’ 56.5’ 15 4319.0 · · 11.2 32643.6 14.7’ 0151.0 14.2’ 56.5’ 16 5818.7 10.9 34117.3 14.7’ 0136.8 14.2’ 56.4’ 17 7318.5 10.5 35551.0 14.8’ 0122.6 14.2’ 56.4’
18 8818.2 S2210.2 1024.8 14.8’ S0108.5 14.2’ 56.4’ 19 10317.9 09.8 2458.7 14.9’ 0054.3 14.1’ 56.3’ 20 11817.7 09.5 3932.6 14.9’ 0040.2 14.1’ 56.3’ 21 13317.4 · · 09.1 5406.5 14.9’ 0026.0 14.1’ 56.3’ 22 14817.2 08.8 6840.4 15.0’ S0011.9 14.1’ 56.2’ 23 16316.9 08.4 8314.4 15.0’ 0002.2 14.1’ 56.2’
SD.=16.3 d=0.3 S.D.=15.4
Sun GHA Dec GHA ν Dec d HP
0 17816.6 S2208.1 9748.5 15.0’ N0016.2 14.1’ 56.2’ 1 19316.4 07.7 11222.5 15.1’ 0030.3 14.0’ 56.1’ 2 20816.1 07.4 12656.6 15.1’ 0044.3 14.0’ 56.1’ 3 22315.9 · · 07.0 14130.7 15.1’ 0058.4 14.0’ 56.1’ 4 23815.6 06.7 15604.9 15.2’ 0112.3 14.0’ 56.0’ 5 25315.3 06.3 17039.1 15.2’ 0126.3 14.0’ 56.0’
6 26815.1 S2206.0 18513.3 15.2’ N0140.3 13.9’ 56.0’ 7 28314.8 05.6 19947.5 15.2’ 0154.2 13.9’ 55.9’ 8 29814.6 05.3 21421.8 15.3’ 0208.1 13.9’ 55.9’ 9 31314.3 · · 04.9 22856.1 15.3’ 0222.0 13.9’ 55.9’ 10 32814.0 04.6 24330.4 15.3’ 0235.9 13.8’ 55.8’ 11 34313.8 04.2 25804.7 15.3’ 0249.7 13.8’ 55.8’
12 35813.5 S2203.8 27239.1 15.4’ N0303.5 13.8’ 55.8’ 13 1313.3 03.5 28713.4 15.4’ 0317.3 13.8’ 55.7’ 14 2813.0 03.1 30147.8 15.4’ 0331.0 13.7’ 55.7’ 15 4312.8 · · 02.8 31622.2 15.4’ 0344.8 13.7’ 55.7’ 16 5812.5 02.4 33056.6 15.4’ 0358.4 13.7’ 55.6’ 17 7312.2 02.0 34531.1 15.4’ 0412.1 13.6’ 55.6’
18 8812.0 S2201.7 005.5 15.5’ N0425.7 13.6’ 55.6’ 19 10311.7 01.3 1440.0 15.5’ 0439.3 13.6’ 55.6’ 20 11811.5 00.9 2914.5 15.5’ 0452.9 13.5’ 55.5’ 21 13311.2 · · 00.6 4348.9 15.5’ 0506.4 13.5’ 55.5’ 22 14811.0 2200.2 5823.4 15.5’ 0519.9 13.5’ 55.5’ 23 16310.7 2159.8 7257.9 15.5’ 0533.4 13.4’ 55.4’
SD.=16.3 d=0.4 S.D.=15.2
Lat. Twilight
N 72 08:15 10:19 13:55 15:59
N 70 07:58 09:36 14:38 16:16 68 07:44 09:08 11:09 13:05 15:06 16:30 66 07:32 08:46 10:13 14:01 15:28 16:41 64 07:23 08:28 09:40 14:34 15:45 16:51 62 07:14 08:14 09:16 14:58 16:00 17:00 60 07:07 08:02 08:57 15:17 16:12 17:07
N 58 07:00 07:51 08:41 15:33 16:22 17:14 56 06:54 07:42 08:28 15:46 16:32 17:20 54 06:48 07:34 08:16 15:58 16:40 17:26 52 06:43 07:26 08:06 16:08 16:48 17:31 50 06:38 07:19 07:57 16:17 16:54 17:35 45 06:28 07:04 07:38 16:36 17:09 17:46
N 40 06:18 06:52 07:22 16:52 17:22 17:56 35 06:09 06:41 07:09 17:05 17:33 18:04 30 06:01 06:31 06:57 17:17 17:43 18:12 20 05:46 06:13 06:37 17:37 18:00 18:28
N 10 05:31 05:57 06:19 17:54 18:17 18:43 0 05:15 05:41 06:03 18:10 18:33 18:59
S 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 19:05 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
S 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 –:–
S 60 –:– 01:30 02:56 21:17 22:41 –:–
Lat. Moonrise Moonset
Fri Sat Sun Fri Sat Sun
N 72 12:12 11:41 11:14 21:24 23:28 ·· ·· N 70 12:00 11:38 11:18 21:33 23:28 ·· ··
68 11:50 11:35 11:21 21:41 23:28 ·· ·· 66 11:42 11:32 11:23 21:47 23:28 ·· ·· 64 11:35 11:30 11:25 21:52 23:28 ·· ·· 62 11:29 11:28 11:27 21:57 23:28 ·· ·· 60 11:24 11:26 11:29 22:01 23:28 ·· ··
N 58 11:19 11:25 11:30 22:04 23:28 ·· ·· 56 11:15 11:24 11:32 22:07 23:28 ·· ·· 54 11:11 11:22 11:33 22:10 23:28 ·· ·· 52 11:07 11:21 11:34 22:12 23:28 ·· ·· 50 11:04 11:20 11:35 22:14 23:28 ·· ·· 45 10:58 11:18 11:37 22:19 23:28 ·· ··
N 40 10:52 11:16 11:39 22:23 23:28 ·· ·· 35 10:47 11:15 11:41 22:27 23:28 ·· ·· 30 10:42 11:13 11:42 22:30 23:28 ·· ·· 20 10:35 11:11 11:45 22:35 23:28 ·· ··
N 10 10:28 11:09 11:47 22:39 23:27 ·· ·· 0 10:22 11:07 11:50 22:44 23:27 ·· ··
S 10 10:15 11:05 11:52 22:48 23:27 ·· ·· 20 10:09 11:03 11:54 22:52 23:27 ·· ·· 30 10:01 11:00 11:57 22:57 23:27 23:56 35 09:56 10:59 11:58 23:00 23:27 23:53 40 09:51 10:57 12:00 23:03 23:27 23:50 45 09:45 10:55 12:02 23:07 23:27 23:46
S 50 09:38 10:53 12:05 23:11 23:26 23:41 52 09:35 10:52 12:06 23:13 23:26 23:39 54 09:31 10:51 12:07 23:15 23:26 23:37 56 09:27 10:50 12:09 23:18 23:26 23:34 58 09:23 10:48 12:10 23:20 23:26 23:32
S 60 09:18 10:47 12:12 23:23 23:26 23:29
Day
Sun Moon Eqn.of Time Mer. Mer.Pass. Age
00h 12h Pass Upper Lower 5-7 mm:ss mm:ss hh:mm hh:mm hh:mm 28-48%
07 06:02 06:15 12:06 16:33 04:10 08 06:28 06:41 12:07 17:17 04:55 09 06:53 07:06 12:07 18:00 05:38
7
January 10, 11, 12 UT (Mon., Tue., Wed.)
Aries Venus Mars Jupiter Saturn Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 10929.8 18034.0 S1711.8 21054.8 S2315.4 13447.7 S1133.2 15353.1 S1744.0 1 12432.3 19538.2 11.5 22555.4 15.5 14949.7 33.0 16855.3 44.0 2 13934.8 21042.3 11.2 24055.9 15.7 16451.6 32.8 18357.4 43.9 3 15437.2 22546.4 · · 10.9 25556.4 · · 15.9 17953.6 · · 32.6 19859.6 · · 43.8 4 16939.7 24050.5 10.5 27056.9 16.0 19455.6 32.4 21401.8 43.7 5 18442.2 25554.6 10.2 28557.4 16.2 20957.6 32.2 22904.0 43.6
6 19944.6 27058.7 S1709.9 30058.0 S2316.4 22459.5 S1132.0 24406.2 S1743.6 7 21447.1 28602.8 09.6 31558.5 16.5 24001.5 31.8 25908.3 43.5 8 22949.6 30106.9 09.3 33059.0 16.7 25503.5 31.6 27410.5 43.4 9 24452.0 31611.0 · · 09.0 34559.5 · · 16.9 27005.4 · · 31.5 28912.7 · · 43.3 10 25954.5 33115.1 08.7 100.1 17.0 28507.4 31.3 30414.9 43.2 11 27456.9 34619.2 08.3 1600.6 17.2 30009.4 31.1 31917.0 43.2
12 28959.4 123.3 S1708.0 3101.1 S2317.4 31511.3 S1130.9 33419.2 S1743.1 13 30501.9 1627.4 07.7 4601.6 17.5 33013.3 30.7 34921.4 43.0 14 32004.3 3131.6 07.4 6102.1 17.7 34515.3 30.5 423.6 42.9 15 33506.8 4635.7 · · 07.1 7602.7 · · 17.8 017.2 · · 30.3 1925.7 · · 42.9 16 35009.3 6139.8 06.8 9103.2 18.0 1519.2 30.1 3427.9 42.8 17 511.7 7643.9 06.5 10603.7 18.2 3021.2 29.9 4930.1 42.7
18 2014.2 9147.9 S1706.2 12104.2 S2318.3 4523.1 S1129.7 6432.3 S1742.6 19 3516.7 10652.0 05.9 13604.8 18.5 6025.1 29.6 7934.5 42.5 20 5019.1 12156.1 05.6 15105.3 18.7 7527.1 29.4 9436.6 42.5 21 6521.6 13700.2 · · 05.3 16605.8 · · 18.8 9029.0 · · 29.2 10938.8 · · 42.4 22 8024.1 15204.3 05.0 18106.3 19.0 10531.0 29.0 12441.0 42.3 23 9526.5 16708.4 04.7 19606.8 19.1 12033.0 28.8 13943.2 42.2
Mer.pass.:16:39 v4.1 d0.3 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.7
Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 11029.0 18212.5 S1704.4 21107.4 S2319.3 13534.9 S1128.6 15445.3 S1742.1 1 12531.4 19716.6 04.1 22607.9 19.5 15036.9 28.4 16947.5 42.1 2 14033.9 21220.7 03.8 24108.4 19.6 16538.9 28.2 18449.7 42.0 3 15536.4 22724.8 · · 03.5 25608.9 · · 19.8 18040.8 · · 28.0 19951.9 · · 41.9 4 17038.8 24228.9 03.2 27109.4 19.9 19542.8 27.8 21454.1 41.8 5 18541.3 25733.0 02.9 28610.0 20.1 21044.8 27.6 22956.2 41.7
6 20043.8 27237.0 S1702.6 30110.5 S2320.3 22546.7 S1127.5 24458.4 S1741.7 7 21546.2 28741.1 02.3 31611.0 20.4 24048.7 27.3 26000.6 41.6 8 23048.7 30245.2 02.0 33111.5 20.6 25550.7 27.1 27502.8 41.5 9 24551.2 31749.3 · · 01.7 34612.0 · · 20.7 27052.6 · · 26.9 29004.9 · · 41.4 10 26053.6 33253.4 01.4 112.5 20.9 28554.6 26.7 30507.1 41.3 11 27556.1 34757.4 01.1 1613.1 21.0 30056.6 26.5 32009.3 41.3
12 29058.5 301.5 S1700.8 3113.6 S2321.2 31558.5 S1126.3 33511.5 S1741.2 13 30601.0 1805.6 00.5 4614.1 21.3 33100.5 26.1 35013.6 41.1 14 32103.5 3309.7 00.2 6114.6 21.5 34602.5 25.9 515.8 41.0 15 33605.9 4813.7 1700.0 7615.1 · · 21.7 104.4 · · 25.7 2018.0 · · 40.9 16 35108.4 6317.8 1659.7 9115.7 21.8 1606.4 25.5 3520.2 40.9 17 610.9 7821.9 59.4 10616.2 22.0 3108.3 25.3 5022.3 40.8
18 2113.3 9325.9 S1659.1 12116.7 S2322.1 4610.3 S1125.2 6524.5 S1740.7 19 3615.8 10830.0 58.8 13617.2 22.3 6112.3 25.0 8026.7 40.6 20 5118.3 12334.1 58.5 15117.7 22.4 7614.2 24.8 9528.9 40.5 21 6620.7 13838.1 · · 58.2 16618.2 · · 22.6 9116.2 · · 24.6 11031.1 · · 40.5 22 8123.2 15342.2 58.0 18118.8 22.7 10618.2 24.4 12533.2 40.4 23 9625.7 16846.2 57.7 19619.3 22.9 12120.1 24.2 14035.4 40.3
Mer.pass.:16:35 v4.1 d0.3 m-3.8 v0.5 d-0.2 m1.5 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.7
Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec
0 11128.1 18350.3 S1657.4 21119.8 S2323.0 13622.1 S1124.0 15537.6 S1740.2 1 12630.6 19854.4 57.1 22620.3 23.2 15124.1 23.8 17039.8 40.1 2 14133.0 21358.4 56.8 24120.8 23.3 16626.0 23.6 18541.9 40.1 3 15635.5 22902.5 · · 56.5 25621.3 · · 23.5 18128.0 · · 23.4 20044.1 · · 40.0 4 17138.0 24406.5 56.3 27121.9 23.6 19630.0 23.2 21546.3 39.9 5 18640.4 25910.6 56.0 28622.4 23.8 21131.9 23.0 23048.5 39.8
6 20142.9 27414.6 S1655.7 30122.9 S2323.9 22633.9 S1122.8 24550.6 S1739.7 7 21645.4 28918.7 55.4 31623.4 24.1 24135.8 22.7 26052.8 39.7 8 23147.8 30422.7 55.2 33123.9 24.2 25637.8 22.5 27555.0 39.6 9 24650.3 31926.7 · · 54.9 34624.4 · · 24.4 27139.8 · · 22.3 29057.2 · · 39.5 10 26152.8 33430.8 54.6 124.9 24.5 28641.7 22.1 30559.3 39.4 11 27655.2 34934.8 54.3 1625.5 24.7 30143.7 21.9 32101.5 39.3
12 29157.7 438.9 S1654.1 3126.0 S2324.8 31645.7 S1121.7 33603.7 S1739.3 13 30700.2 1942.9 53.8 4626.5 25.0 33147.6 21.5 35105.9 39.2 14 32202.6 3446.9 53.5 6127.0 25.1 34649.6 21.3 608.0 39.1 15 33705.1 4950.9 · · 53.2 7627.5 · · 25.2 151.5 · · 21.1 2110.2 · · 39.0 16 35207.5 6455.0 53.0 9128.0 25.4 1653.5 20.9 3612.4 38.9 17 710.0 7959.0 52.7 10628.6 25.5 3155.5 20.7 5114.6 38.9
18 2212.5 9503.0 S1652.4 12129.1 S2325.7 4657.4 S1120.5 6616.7 S1738.8 19 3714.9 110