Computer Ephemeris for 2019 from DE200/LE200.

Elements of the Partial Solar eclipse - 06 Jan 2019.

2019 Jan   6  1h45m26.37s   Min(gamma) = 1.14197   t = time -  1h50m

Geocentric coordinates of the Sun:
Right ascension =   92423.737 + t *     9.459 + t * t * -0.001
Declination     =  151339.425 + t *   -44.554 + t * t * -0.013
Parallax        =       8.677
Radius          =    1546.805 + t *     0.007

Geocentric coordinates of the Moon:
Right ascension =  190708.910 + t *   209.630 + t * t * -0.039
Declination     = -213030.979 + t *    44.534 + t * t *  3.114
Parallax        =    5427.547 + t *    -0.688 + t * t *  0.004
Radius          =    1450.350 + t *    -0.188 + t * t *  0.001

Contacts of the eclipse:
Begin Semishadow eclipse:  23 35.17
Phase Maximum of eclipse:   1 42.67
End   Semishadow eclipse:   3 50.18

Besselian elements
 time     x        y         sind     cosd      ue       ui      mu
22  30  -1.65037  1.11581 -0.38368  0.92347  0.57197  0.02591  1560750.
22  40  -1.56568  1.11710 -0.38367  0.92347  0.57199  0.02594  1583748.
22  50  -1.48098  1.11839 -0.38365  0.92348  0.57201  0.02596  1610746.
23   0  -1.39629  1.11969 -0.38364  0.92348  0.57203  0.02598  1633744.
23  10  -1.31159  1.12099 -0.38363  0.92349  0.57205  0.02599  1660742.
23  20  -1.22689  1.12230 -0.38362  0.92349  0.57207  0.02601  1683740.
23  30  -1.14219  1.12361 -0.38360  0.92350  0.57208  0.02603  1710738.
23  40  -1.05749  1.12494 -0.38359  0.92350  0.57210  0.02605  1733736.
23  50  -0.97278  1.12626 -0.38358  0.92351  0.57212  0.02607  1760734.
 0   0  -0.88808  1.12759 -0.38356  0.92351  0.57214  0.02608  1783732.
 0  10  -0.80337  1.12893 -0.38355  0.92352  0.57215  0.02610  1810730.
 0  20  -0.71867  1.13027 -0.38354  0.92353  0.57217  0.02611  1833728.
 0  30  -0.63396  1.13162 -0.38352  0.92353  0.57218  0.02613  1860726.
 0  40  -0.54925  1.13298 -0.38351  0.92354  0.57220  0.02614  1883724.
 0  50  -0.46454  1.13434 -0.38350  0.92354  0.57221  0.02616  1910722.
 1   0  -0.37983  1.13571 -0.38349  0.92355  0.57222  0.02617  1933720.
 1  10  -0.29512  1.13708 -0.38347  0.92355  0.57224  0.02618  1960718.
 1  20  -0.21042  1.13846 -0.38346  0.92356  0.57225  0.02619  1983716.
 1  30  -0.12571  1.13984 -0.38345  0.92356  0.57226  0.02621  2010714.
 1  40  -0.04100  1.14123 -0.38343  0.92357  0.57227  0.02622  2033712.
 1  50   0.04371  1.14263 -0.38342  0.92357  0.57228  0.02623  2060710.
 2   0   0.12842  1.14403 -0.38341  0.92358  0.57229  0.02624  2083709.
 2  10   0.21312  1.14543 -0.38339  0.92358  0.57230  0.02625  2110707.
 2  20   0.29783  1.14685 -0.38338  0.92359  0.57231  0.02625  2133705.
 2  30   0.38253  1.14826 -0.38337  0.92360  0.57232  0.02626  2160703.
 2  40   0.46723  1.14969 -0.38336  0.92360  0.57232  0.02627  2183701.
 2  50   0.55193  1.15112 -0.38334  0.92361  0.57233  0.02628  2210659.
 3   0   0.63663  1.15255 -0.38333  0.92361  0.57234  0.02628  2233657.
 3  10   0.72133  1.15400 -0.38332  0.92362  0.57234  0.02629  2260655.
 3  20   0.80602  1.15544 -0.38330  0.92362  0.57235  0.02629  2283653.
 3  30   0.89072  1.15690 -0.38329  0.92363  0.57235  0.02630  2310651.
 3  40   0.97541  1.15835 -0.38328  0.92363  0.57236  0.02630  2333649.
 3  50   1.06010  1.15982 -0.38326  0.92364  0.57236  0.02631  2360647.
 4   0   1.14478  1.16129 -0.38325  0.92364  0.57237  0.02631  2383645.
 4  10   1.22946  1.16276 -0.38324  0.92365  0.57237  0.02631  2410643.
 4  20   1.31414  1.16425 -0.38322  0.92366  0.57237  0.02632  2433641.
 4  30   1.39882  1.16573 -0.38321  0.92366  0.57237  0.02632  2460639.
 4  40   1.48349  1.16723 -0.38320  0.92367  0.57237  0.02632  2483637.
 4  50   1.56816  1.16872 -0.38319  0.92367  0.57237  0.02632  2510635.
 5   0   1.65283  1.17023 -0.38317  0.92368  0.57237  0.02632  2533633.
 5  10   1.73749  1.17174 -0.38316  0.92368  0.57237  0.02632  2560631.

time       x'       y'
 23    0.008470    0.000130
  0    0.008471    0.000133    Tan(fi) =  0.00472938
  1    0.008471    0.000137    Tan(fe) =  0.00475305
  2    0.008471    0.000140    Mu'     =  0.00436237
  3    0.008470    0.000144
  4    0.008468    0.000147
  5    0.008466    0.000151