Computer Ephemeris for 2019 from DE200/LE200.

Elements of the Total Solar eclipse - 26 Dec 2019.

2019 Dec  26  5h16m51.25s   Min(gamma) = 0.41364   t = time -  5h10m

Geocentric coordinates of the Sun:
Right ascension =  181755.090 + t *    11.100
Declination     = -232219.923 + t *     4.744 + t * t *  0.025
Parallax        =       8.942
Radius          =    1615.738 + t *     0.002

Geocentric coordinates of the Moon:
Right ascension =  181742.455 + t *   223.548 + t * t * -0.025
Declination     = -225832.451 + t *  -201.551 + t * t *  4.089
Parallax        =    5704.251 + t *    -1.440 + t * t * -0.003
Radius          =    1533.045 + t *    -0.392 + t * t * -0.001

Contacts of the eclipse:
Begin Semishadow eclipse:   2 31.02
Begin Partial    eclipse:   3 35.65
Phase Maximum of eclipse:   5 18.90
End   Partial    eclipse:   7  2.17
End   Semishadow eclipse:   8  6.84

Besselian elements
 time     x        y         sind     cosd      ue       ui      mu
 1  50  -1.83625  0.54159 -0.39679  0.91791  0.55797  0.01199  2072710.
 2   0  -1.74701  0.53533 -0.39679  0.91791  0.55800  0.01202  2095708.
 2  10  -1.65777  0.52909 -0.39679  0.91791  0.55803  0.01205  2122706.
 2  20  -1.56853  0.52285 -0.39678  0.91791  0.55807  0.01208  2145704.
 2  30  -1.47928  0.51661 -0.39678  0.91791  0.55810  0.01211  2172701.
 2  40  -1.39004  0.51039 -0.39677  0.91792  0.55813  0.01214  2195659.
 2  50  -1.30078  0.50417 -0.39677  0.91792  0.55816  0.01217  2222657.
 3   0  -1.21153  0.49796 -0.39677  0.91792  0.55819  0.01220  2245655.
 3  10  -1.12227  0.49176 -0.39676  0.91792  0.55821  0.01223  2272652.
 3  20  -1.03302  0.48557 -0.39676  0.91792  0.55824  0.01226  2295650.
 3  30  -0.94376  0.47938 -0.39676  0.91792  0.55827  0.01228  2322648.
 3  40  -0.85449  0.47321 -0.39675  0.91793  0.55830  0.01231  2345646.
 3  50  -0.76523  0.46704 -0.39675  0.91793  0.55832  0.01234  2372644.
 4   0  -0.67597  0.46087 -0.39675  0.91793  0.55835  0.01236  2395641.
 4  10  -0.58670  0.45472 -0.39674  0.91793  0.55837  0.01239  2422639.
 4  20  -0.49743  0.44858 -0.39674  0.91793  0.55840  0.01241  2445637.
 4  30  -0.40817  0.44244 -0.39673  0.91793  0.55842  0.01243  2472635.
 4  40  -0.31890  0.43631 -0.39673  0.91794  0.55844  0.01246  2495632.
 4  50  -0.22963  0.43019 -0.39673  0.91794  0.55846  0.01248  2522630.
 5   0  -0.14036  0.42407 -0.39672  0.91794  0.55849  0.01250  2545628.
 5  10  -0.05109  0.41797 -0.39672  0.91794  0.55851  0.01252  2572626.
 5  20   0.03817  0.41187 -0.39672  0.91794  0.55853  0.01254  2595623.
 5  30   0.12744  0.40578 -0.39671  0.91794  0.55855  0.01256  2622621.
 5  40   0.21671  0.39970 -0.39671  0.91794  0.55857  0.01258  2645619.
 5  50   0.30598  0.39363 -0.39670  0.91795  0.55858  0.01260  2672617.
 6   0   0.39524  0.38757 -0.39670  0.91795  0.55860  0.01262  2695614.
 6  10   0.48450  0.38151 -0.39670  0.91795  0.55862  0.01263  2722612.
 6  20   0.57377  0.37546 -0.39669  0.91795  0.55864  0.01265  2745610.
 6  30   0.66303  0.36942 -0.39669  0.91795  0.55865  0.01266  2772608.
 6  40   0.75228  0.36339 -0.39669  0.91795  0.55867  0.01268  2795605.
 6  50   0.84154  0.35737 -0.39668  0.91796  0.55868  0.01269  2822603.
 7   0   0.93080  0.35135 -0.39668  0.91796  0.55870  0.01271  2845601.
 7  10   1.02005  0.34535 -0.39667  0.91796  0.55871  0.01272  2872559.
 7  20   1.10930  0.33935 -0.39667  0.91796  0.55872  0.01274  2895557.
 7  30   1.19854  0.33336 -0.39667  0.91796  0.55873  0.01275  2922554.
 7  40   1.28779  0.32738 -0.39666  0.91796  0.55875  0.01276  2945552.
 7  50   1.37703  0.32140 -0.39666  0.91797  0.55876  0.01277  2972550.
 8   0   1.46626  0.31544 -0.39665  0.91797  0.55877  0.01278  2995548.
 8  10   1.55550  0.30948 -0.39665  0.91797  0.55878  0.01279  3022545.
 8  20   1.64472  0.30353 -0.39665  0.91797  0.55879  0.01280  3045543.
 8  30   1.73395  0.29759 -0.39664  0.91797  0.55879  0.01281  3072541.

time       x'       y'
  2    0.008924   -0.000625
  3    0.008926   -0.000621    Tan(fi) =  0.00472794
  4    0.008927   -0.000616    Tan(fe) =  0.00475161
  5    0.008927   -0.000611    Mu'     =  0.00436224
  6    0.008926   -0.000606
  7    0.008925   -0.000601
  8    0.008923   -0.000596