Annular-total solar eclipse of 2023, April 20

     The eclipse is visible from Indonesia,  Australia,  on the coast of the In-
 dian Ocean of Antarctica, the South Pacific and Indian Oceans.

                   Universal time of geocentric conjunction
                                                    h  m  s
              in right ascension  2023, April 20,  3 55 35.9

 
                      Geocentric coordinates of the Sun
 
                                                h  m  s     s         h
          Right ascension  . . . . . . . .     1 50 59.12+ 9.331( T- 4 ) 
                                                °  '  "     "         h
          Declination  . . . . . . . . . .   +11 24 39.6 +51.60 ( T- 4 ) 
                                                     "
          Equatorial horizontal parallax . .         8.76
                                                   '  "
          Apparent semidiameter  . . . . .       15 55.36
 
 
                     Geocentric coordinates of the Moon
 
                                       h  m  s      s        h   s        h 2
 Right ascension  . . . . . . . .     1 51 07.73+126.713(T- 4 )+0.054(T- 4 ) 
                                       °  '  "      "        h   "        h 2
 Declination  . . . . . . . . . .   +11 00 03.8 +904.53 (T- 4 )-2.03 (T- 4 ) 
                                          '  "      "        h   "        h 2
 Equatorial horizontal parallax . .     58 20.27-  1.496(T- 4 )-0.006(T- 4 ) 
                                          '  "      "        h   "        h 2
 Apparent semidiameter  . . . . . .     15 53.80-  0.408(T- 4 )-0.002(T- 4 ) 
                                         
                                                                s   
                 T - universal time in hours  ( TDT - UT1 =   70.0 )                    

                    General Circumstances of the Eclipse

 ------------------------------------------------------------------------------------
               Phenomena                |   Universal    |  Latitude  |  Longitude
                                        |     Time       |            |
 ---------------------------------------|----------------|------------|--------------
                                        |       h  m     |     o  '   |     o  '
 Eclipse begins  . . . . . . . . . . . .|      1 34.1    │  -40 17.5  │   75 38.6 E
 Central eclipse begins  . . . . . . . .|      2 37.1    │  -48 26.1  │   63 40.6 E
 Central eclipse at local apparent noon |      3 55.5    │  -14 50.0  │  120 52.3 E
 Central eclipse ends  . . . . . . . . .|      5 56.6    │  + 2 56.2  │  178 48.6 W
 Eclipse ends  . . . . . . . . . . . . .|      6 59.5    │  +11 12.2  │  167 29.0 E

                             Besselian Elements

 ------------------------------------------------------------------------------
Universal|    x    |    y    |  sin d  |  cos d  |    u    |    u    |    m
  Time   |         |         |         |         |     e   |     i   |
 --------|---------|---------|---------|---------|---------|---------|---------
    h  m |         |         |         |         |         |         |    o  '
   1 30  |-1.20104 |-1.03345 |+0.19728 |+0.98035 |+0.54645 |+0.00006 | 202 44.0
     40  |-1.11857 |-0.99272 |+0.19731 |+0.98034 |+0.54648 |+0.00009 | 205 14.1
     50  |-1.03609 |-0.95199 |+0.19735 |+0.98033 |+0.54651 |+0.00012 | 207 44.1
         |         |         |         |         |         |         |
   2 00  |-0.95361 |-0.91126 |+0.19739 |+0.98032 |+0.54654 |+0.00015 | 210 14.1
     10  |-0.87113 |-0.87054 |+0.19743 |+0.98032 |+0.54657 |+0.00018 | 212 44.2
     20  |-0.78865 |-0.82982 |+0.19747 |+0.98031 |+0.54659 |+0.00021 | 215 14.2
     30  |-0.70616 |-0.78910 |+0.19751 |+0.98030 |+0.54662 |+0.00023 | 217 44.2
     40  |-0.62367 |-0.74838 |+0.19755 |+0.98029 |+0.54664 |+0.00026 | 220 14.3
     50  |-0.54118 |-0.70766 |+0.19759 |+0.98028 |+0.54667 |+0.00028 | 222 44.3
         |         |         |         |         |         |         |
   3 00  |-0.45868 |-0.66694 |+0.19763 |+0.98028 |+0.54669 |+0.00031 | 225 14.3
     10  |-0.37619 |-0.62623 |+0.19767 |+0.98027 |+0.54672 |+0.00033 | 227 44.4
     20  |-0.29369 |-0.58552 |+0.19771 |+0.98026 |+0.54674 |+0.00035 | 230 14.4
     30  |-0.21119 |-0.54481 |+0.19775 |+0.98025 |+0.54676 |+0.00037 | 232 44.4
     40  |-0.12869 |-0.50410 |+0.19778 |+0.98025 |+0.54678 |+0.00040 | 235 14.5
     50  |-0.04619 |-0.46340 |+0.19782 |+0.98024 |+0.54681 |+0.00042 | 237 44.5
         |         |         |         |         |         |         |
   4 00  |+0.03632 |-0.42270 |+0.19786 |+0.98023 |+0.54683 |+0.00044 | 240 14.5
     10  |+0.11882 |-0.38200 |+0.19790 |+0.98022 |+0.54685 |+0.00046 | 242 44.6
     20  |+0.20132 |-0.34131 |+0.19794 |+0.98021 |+0.54687 |+0.00048 | 245 14.6
     30  |+0.28383 |-0.30061 |+0.19798 |+0.98021 |+0.54688 |+0.00050 | 247 44.6
     40  |+0.36633 |-0.25992 |+0.19802 |+0.98020 |+0.54690 |+0.00051 | 250 14.7
     50  |+0.44884 |-0.21924 |+0.19806 |+0.98019 |+0.54692 |+0.00053 | 252 44.7
         |         |         |         |         |         |         |
   5 00  |+0.53134 |-0.17856 |+0.19810 |+0.98018 |+0.54694 |+0.00055 | 255 14.7
     10  |+0.61384 |-0.13788 |+0.19814 |+0.98017 |+0.54695 |+0.00056 | 257 44.8
     20  |+0.69635 |-0.09720 |+0.19818 |+0.98017 |+0.54697 |+0.00058 | 260 14.8
     30  |+0.77885 |-0.05653 |+0.19822 |+0.98016 |+0.54698 |+0.00059 | 262 44.8
     40  |+0.86135 |-0.01586 |+0.19825 |+0.98015 |+0.54700 |+0.00061 | 265 14.9
     50  |+0.94385 |+0.02481 |+0.19829 |+0.98014 |+0.54701 |+0.00062 | 267 44.9
         |         |         |         |         |         |         |
   6 00  |+1.02635 |+0.06547 |+0.19833 |+0.98013 |+0.54702 |+0.00063 | 270 14.9
     10  |+1.10885 |+0.10612 |+0.19837 |+0.98013 |+0.54703 |+0.00065 | 272 45.0
     20  |+1.19134 |+0.14678 |+0.19841 |+0.98012 |+0.54705 |+0.00066 | 275 15.0
     30  |+1.27384 |+0.18743 |+0.19845 |+0.98011 |+0.54706 |+0.00067 | 277 45.0
     40  |+1.35633 |+0.22807 |+0.19849 |+0.98010 |+0.54707 |+0.00068 | 280 15.1
     50  |+1.43881 |+0.26871 |+0.19853 |+0.98010 |+0.54708 |+0.00069 | 282 45.1
         |         |         |         |         |         |         |
   7 00  |+1.52130 |+0.30935 |+0.19857 |+0.98009 |+0.54709 |+0.00070 | 285 15.1
 
 ----------------------------------------------------------------
 Univers.|     x'    |     y'    IUnivers.|     x'    |     y'   tgf =0.0046550
   Time  |           |           I  Time  |           |             e
 --------+-----------+-----------I--------+-----------+----------tgf =0.0046318
      h  |           |           I     h  |           |             i
     1   | +0.008246 | +0.004073 I    5   | +0.008250 | +0.004068  m'=0.0043643
     2   | +0.008248 | +0.004073 I    6   | +0.008250 | +0.004066 
     3   | +0.008250 | +0.004071 I    7   | +0.008248 | +0.004063 
     4   | +0.008250 | +0.004070 I    8   | +0.008246 | +0.004060 



            Path of Central Phase of Solar Eclipse of 2023, April 20

-------------------------------------------------------------------------------------
         I  Southern Limit  I   Central Line   I  Northern Limit  I      |    |
   UT    I------------------I------------------I------------------I   t  |  w |  h
         ILatitude|LongitudeILatitude|LongitudeILatitude|LongitudeI      |    |   s
---------I--------|---------I--------|---------I--------|---------I------|----|------
         I   o  ' │    o  ' I   o  ' │    o  ' I   o  ' │    o  ' I      │    │
BeginningI-48 26.0│+ 63 45.5I-48 26.1│+ 63 40.6I-48 27.2│+ 63 30.5I      │    │
  h  m   I        │         I        │         I        │         I  m  s│    │   o
 2 40    I-43 57.7│+ 80 00.7I-43 53.9│+ 80 02.8I-43 50.1│+ 80 05.0I 0 11 │  10│ 12.7
 2 45    I-40 20.1│+ 88 55.9I-40 14.3│+ 88 55.8I-40 08.6│+ 88 55.6I 0 22 │  18│ 20.9
 2 50    I-37 31.0│+ 94 27.5I-37 24.2│+ 94 25.7I-37 17.4│+ 94 23.8I 0 30 │  24│ 26.8
 2 55    I-35 04.6│+ 98 34.0I-34 57.1│+ 98 30.8I-34 49.6│+ 98 27.5I 0 36 │  28│ 31.6
         I        │         I        │         I        │         I      │    │
 3 00    I-32 52.5│+101 51.5I-32 44.4│+101 47.2I-32 36.4│+101 42.8I 0 42 │  31│ 35.8
 3 05    I-30 50.5│+104 36.9I-30 42.1│+104 31.7I-30 33.7│+104 26.4I 0 48 │  34│ 39.5
 3 10    I-28 56.4│+106 59.6I-28 47.7│+106 53.5I-28 39.0│+106 47.5I 0 52 │  37│ 42.9
 3 15    I-27 08.6│+109 05.3I-26 59.6│+108 58.6I-26 50.6│+108 51.9I 0 56 │  39│ 46.1
 3 20    I-25 26.1│+110 58.1I-25 16.9│+110 50.9I-25 07.7│+110 43.6I 1 00 │  41│ 48.9
 3 25    I-23 48.0│+112 40.8I-23 38.6│+112 33.1I-23 29.3│+112 25.3I 1 04 │  43│ 51.6
         I        │         I        │         I        │         I      │    │
 3 30    I-22 13.8│+114 15.4I-22 04.3│+114 07.2I-21 54.8│+113 59.1I 1 07 │  44│ 54.1
 3 35    I-20 43.1│+115 43.5I-20 33.5│+115 35.0I-20 23.8│+115 26.5I 1 10 │  46│ 56.4
 3 40    I-19 15.5│+117 06.5I-19 05.7│+116 57.7I-18 56.0│+116 48.9I 1 12 │  47│ 58.5
 3 45    I-17 50.7│+118 25.3I-17 40.8│+118 16.3I-17 30.9│+118 07.2I 1 15 │  48│ 60.5
 3 50    I-16 28.5│+119 40.9I-16 18.5│+119 31.6I-16 08.5│+119 22.3I 1 16 │  49│ 62.2
 3 55    I-15 08.7│+120 53.9I-14 58.6│+120 44.5I-14 48.5│+120 35.0I 1 18 │  50│ 63.6
         I        │         I        │         I        │         I      │    │
 4 00    I-13 51.1│+122 05.0I-13 40.9│+121 55.5I-13 30.7│+121 46.0I 1 19 │  51│ 64.8
 4 05    I-12 35.5│+123 14.9I-12 25.3│+123 05.3I-12 15.1│+122 55.6I 1 20 │  51│ 65.7
 4 10    I-11 22.0│+124 24.0I-11 11.7│+124 14.3I-11 01.4│+124 04.6I 1 21 │  52│ 66.4
 4 15    I-10 10.4│+125 32.8I-10 00.1│+125 23.2I- 9 49.7│+125 13.5I 1 21 │  52│ 66.6
 4 20    I- 9 00.7│+126 41.9I- 8 50.3│+126 32.2I- 8 39.9│+126 22.6I 1 21 │  52│ 66.6
 4 25    I- 7 52.7│+127 51.6I- 7 42.3│+127 42.0I- 7 31.9│+127 32.4I 1 20 │  52│ 66.2
         I        │         I        │         I        │         I      │    │
 4 30    I- 6 46.6│+129 02.5I- 6 36.1│+128 53.0I- 6 25.7│+128 43.5I 1 20 │  52│ 65.5
 4 35    I- 5 42.1│+130 15.1I- 5 31.7│+130 05.7I- 5 21.3│+129 56.2I 1 19 │  52│ 64.5
 4 40    I- 4 39.5│+131 29.7I- 4 29.1│+131 20.5I- 4 18.7│+131 11.2I 1 17 │  51│ 63.3
 4 45    I- 3 38.6│+132 47.0I- 3 28.3│+132 38.0I- 3 17.9│+132 28.8I 1 15 │  51│ 61.8
 4 50    I- 2 39.6│+134 07.6I- 2 29.4│+133 58.7I- 2 19.1│+133 49.8I 1 13 │  50│ 60.0
 4 55    I- 1 42.5│+135 32.1I- 1 32.4│+135 23.5I- 1 22.2│+135 14.8I 1 11 │  49│ 58.0
         I        │         I        │         I        │         I      │    │
 5 00    I- 0 47.4│+137 01.3I- 0 37.4│+136 52.9I- 0 27.4│+136 44.5I 1 08 │  48│ 55.9
 5 05    I+ 0 05.6│+138 36.0I+ 0 15.4│+138 28.0I+ 0 25.2│+138 19.9I 1 05 │  46│ 53.5
 5 10    I+ 0 56.3│+140 17.4I+ 1 05.8│+140 09.7I+ 1 15.4│+140 02.0I 1 01 │  44│ 51.0
 5 15    I+ 1 44.4│+142 06.7I+ 1 53.6│+141 59.4I+ 2 02.9│+141 52.1I 0 57 │  42│ 48.2
 5 20    I+ 2 29.6│+144 05.8I+ 2 38.5│+143 58.9I+ 2 47.4│+143 52.0I 0 53 │  39│ 45.3
 5 25    I+ 3 11.6│+146 16.8I+ 3 19.9│+146 10.4I+ 3 28.3│+146 03.9I 0 48 │  36│ 42.1
         I        │         I        │         I        │         I      │    │
 5 30    I+ 3 49.5│+148 43.0I+ 3 57.3│+148 37.0I+ 4 05.1│+148 31.0I 0 42 │  33│ 38.6
 5 35    I+ 4 22.5│+151 29.0I+ 4 29.6│+151 23.6I+ 4 36.7│+151 18.2I 0 37 │  29│ 34.8
 5 40    I+ 4 49.0│+154 42.6I+ 4 55.1│+154 37.8I+ 5 01.4│+154 32.9I 0 30 │  25│ 30.5
 5 45    I+ 5 06.0│+158 37.6I+ 5 11.0│+158 33.5I+ 5 16.1│+158 29.3I 0 23 │  19│ 25.4
 5 50    I+ 5 07.0│+163 46.2I+ 5 10.4│+163 42.9I+ 5 14.0│+163 39.7I 0 14 │  12│ 19.2
 5 55    I+ 4 25.5│+172 18.5I+ 4 26.1│+172 17.6I+ 4 26.7│+172 16.8I 0 02 │   2│  9.4
         I        │         I        │         I        │         I      │    │
 End     I+ 2 54.9│-178 53.6I+ 2 56.2│-178 48.6I+ 2 57.5│-178 43.6I      │    │
---------I--------┴---------I--------┴---------I--------┴---------I------|----|------
Time of  I        h  m  s   I        h  m  s   I        h  m  s   I      │    │
beginningI       2 37 05    I       2 37 04    I       2 37 04    I      │    │
end      I       5 56 36    I       5 56 37    I       5 56 39    I      │    │