I. Partial Solar Eclipse of 2004 April 19


    The eclipse visible in southern Africa, Madagaskar,  the Atlantic coast of
 Antarctica, the extreme south-eastern Atlantic Ocean.

                   Universal time of geocentric conjunction
                                                      h  m  s
              in right ascension  2004, April  19,  12 29 23.4

                      Geocentric coordinates of the Sun
                                              h  m  s     s         h
          Right ascension  . . . . . . . .   1 50 44.00+ 9.326( T-12 )
                                              o  '  "     "         h
          Declination  . . . . . . . . . . +11 23 20.3 +51.62 ( T-12 )
                                                    "
          Equatorial horizontal parallax .         8.75
                                                 '  "
          Apparent semidiameter  . . . . .     15 55.23

                     Geocentric coordinates of the Moon
                                     h  m  s      s        h   s        h 2
 Right ascension  . . . . . . . .   1 49 53.10+113.204(T-12 )+0.044(T-12 )
                                     o  '  "      "        h   "        h 2
 Declination  . . . . . . . . . . +10 07 39.0 +809.15 (T-12 )-1.46 (T-12 )
                                        '  "      "        h   "        h 2
 Equatorial horizontal parallax .     55 10.90-  1.031(T-12 )+0.002(T-12 )
                                        '  "      "        h   "        h 2
 Apparent semidiameter  . . . . .     15 02.21-  0.281(T-12 )+0.001(T-12 )
                                                         s
             T - universal time in hours ( TDT - UT1 = 66.0 )

                    General Circumstances of the Eclipse
   ----------------------------------------------------------------------
       Phenomena         |    Universal   |  Latitude  |   Longitude
                         |       Time     |            |
   ----------------------|----------------|------------|-----------------
                         |       h  m     |     o  '   |     o  '
   Eclipse begins  . . . |     11 29.8    |  -69 40.6  |   50 41.5 W
   Greatest eclipse 0.737|     13 34.0    |  -61 49.2  |   44 44.4 E
   Eclipse ends    . . . |     15 38.6    |  -20 01.3  |   31 09.0 E

                             Besselian Elements

 ------------------------------------------------------------------------------
Universal|    x    |    y    |  sin d  |  cos d  |    u    |    u    |    m
  Time   |         |         |         |         |     e   |     i   |
 --------|---------|---------|---------|---------|---------|---------|---------
    h  m |         |         |         |         |         |         |    o  '
  11 20  |-0.53734 |-1.52753 |+0.19737 |+0.98033 |+0.56237 |+0.01590 | 350 14.3
     30  |-0.45990 |-1.48943 |+0.19741 |+0.98032 |+0.56239 |+0.01592 | 352 44.3
     40  |-0.38247 |-1.45133 |+0.19745 |+0.98031 |+0.56241 |+0.01595 | 355 14.3
     50  |-0.30503 |-1.41323 |+0.19749 |+0.98031 |+0.56243 |+0.01597 | 357 44.4
         |         |         |         |         |         |         |
  12 00  |-0.22760 |-1.37513 |+0.19753 |+0.98030 |+0.56245 |+0.01599 |   0 14.4
     10  |-0.15016 |-1.33703 |+0.19757 |+0.98029 |+0.56247 |+0.01601 |   2 44.4
     20  |-0.07272 |-1.29894 |+0.19760 |+0.98028 |+0.56249 |+0.01602 |   5 14.5
     30  |+0.00472 |-1.26084 |+0.19764 |+0.98027 |+0.56251 |+0.01604 |   7 44.5
     40  |+0.08216 |-1.22274 |+0.19768 |+0.98027 |+0.56253 |+0.01606 |  10 14.5
     50  |+0.15960 |-1.18465 |+0.19772 |+0.98026 |+0.56254 |+0.01608 |  12 44.6
         |         |         |         |         |         |         |
  13 00  |+0.23704 |-1.14655 |+0.19776 |+0.98025 |+0.56256 |+0.01609 |  15 14.6
     10  |+0.31449 |-1.10846 |+0.19780 |+0.98024 |+0.56258 |+0.01611 |  17 44.6
     20  |+0.39193 |-1.07037 |+0.19784 |+0.98023 |+0.56259 |+0.01613 |  20 14.7
     30  |+0.46937 |-1.03228 |+0.19788 |+0.98023 |+0.56261 |+0.01614 |  22 44.7
     40  |+0.54681 |-0.99419 |+0.19792 |+0.98022 |+0.56262 |+0.01615 |  25 14.7
     50  |+0.62426 |-0.95610 |+0.19796 |+0.98021 |+0.56263 |+0.01617 |  27 44.8
         |         |         |         |         |         |         |
  14 00  |+0.70170 |-0.91801 |+0.19800 |+0.98020 |+0.56265 |+0.01618 |  30 14.8
     10  |+0.77914 |-0.87993 |+0.19804 |+0.98019 |+0.56266 |+0.01619 |  32 44.8
     20  |+0.85658 |-0.84184 |+0.19808 |+0.98019 |+0.56267 |+0.01621 |  35 14.9
     30  |+0.93402 |-0.80376 |+0.19812 |+0.98018 |+0.56268 |+0.01622 |  37 44.9
     40  |+1.01146 |-0.76568 |+0.19815 |+0.98017 |+0.56270 |+0.01623 |  40 14.9
     50  |+1.08889 |-0.72760 |+0.19819 |+0.98016 |+0.56271 |+0.01624 |  42 45.0
         |         |         |         |         |         |         |
  15 00  |+1.16633 |-0.68952 |+0.19823 |+0.98015 |+0.56272 |+0.01625 |  45 15.0
     10  |+1.24376 |-0.65145 |+0.19827 |+0.98015 |+0.56272 |+0.01626 |  47 45.0
     20  |+1.32120 |-0.61337 |+0.19831 |+0.98014 |+0.56273 |+0.01627 |  50 15.1
     30  |+1.39863 |-0.57530 |+0.19835 |+0.98013 |+0.56274 |+0.01627 |  52 45.1
     40  |+1.47606 |-0.53723 |+0.19839 |+0.98012 |+0.56275 |+0.01628 |  55 15.1

 ----------------------------------------------------------------
   UT    |     x'    |     y'    !   UT   |     x'    |     y'   tgf =0.0046547
 --------|-----------|-----------!--------|-----------|----------   e
      h  |           |           !     h  |           |          tgf =0.0046315
    11   | +0.007743 | +0.003810 !   14   | +0.007744 | +0.003809   i
    12   | +0.007744 | +0.003810 !   15   | +0.007744 | +0.003808  m'=0.0043643
    13   | +0.007744 | +0.003809 !   16   | +0.007742 | +0.003806