Computer Ephemeris for 2020 from DE200/LE200.

Elements of the Total Solar eclipse - 14 Dec 2020.

2020 Dec  14 16h18m 8.45s   Min(gamma) = 0.29723   t = time - 16h10m

Geocentric coordinates of the Sun:
Right ascension =  173005.060 + t *    11.063 + t * t *  0.001
Declination     = -231531.680 + t *    -7.909 + t * t *  0.025
Parallax        =       8.935
Radius          =    1614.935 + t *     0.004

Geocentric coordinates of the Moon:
Right ascension =  172942.046 + t *   238.586 + t * t *  0.055
Declination     = -233234.175 + t *  -517.690 + t * t *  5.128
Parallax        =   10010.491 + t *    -1.189 + t * t * -0.013
Radius          =    1623.787 + t *    -0.324 + t * t * -0.004

Contacts of the eclipse:
Begin Semishadow eclipse:  13 35.11
Begin Partial    eclipse:  14 34.29
Phase Maximum of eclipse:  16 14.64
End   Partial    eclipse:  17 55.05
End   Semishadow eclipse:  18 54.26

Besselian elements
 time     x        y         sind     cosd      ue       ui      mu
12  50  -1.96523  0.00393 -0.39477  0.91878  0.54304 -0.00287   134653.
13   0  -1.87140 -0.01056 -0.39477  0.91878  0.54307 -0.00284   161651.
13  10  -1.77757 -0.02504 -0.39478  0.91878  0.54310 -0.00281   184649.
13  20  -1.68373 -0.03951 -0.39478  0.91877  0.54313 -0.00278   211647.
13  30  -1.58988 -0.05397 -0.39479  0.91877  0.54315 -0.00276   234645.
13  40  -1.49604 -0.06841 -0.39479  0.91877  0.54318 -0.00273   261643.
13  50  -1.40218 -0.08285 -0.39480  0.91877  0.54320 -0.00271   284640.
14   0  -1.30832 -0.09728 -0.39480  0.91877  0.54323 -0.00268   311638.
14  10  -1.21446 -0.11170 -0.39481  0.91876  0.54325 -0.00266   334636.
14  20  -1.12059 -0.12611 -0.39482  0.91876  0.54328 -0.00263   361634.
14  30  -1.02672 -0.14051 -0.39482  0.91876  0.54330 -0.00261   384632.
14  40  -0.93285 -0.15490 -0.39483  0.91876  0.54332 -0.00259   411630.
14  50  -0.83897 -0.16928 -0.39483  0.91875  0.54334 -0.00257   434628.
15   0  -0.74509 -0.18365 -0.39484  0.91875  0.54336 -0.00255   461626.
15  10  -0.65121 -0.19801 -0.39484  0.91875  0.54338 -0.00253   484624.
15  20  -0.55733 -0.21236 -0.39485  0.91875  0.54340 -0.00251   511622.
15  30  -0.46344 -0.22670 -0.39485  0.91874  0.54342 -0.00249   534619.
15  40  -0.36955 -0.24102 -0.39486  0.91874  0.54344 -0.00247   561617.
15  50  -0.27566 -0.25534 -0.39486  0.91874  0.54345 -0.00246   584615.
16   0  -0.18177 -0.26965 -0.39487  0.91874  0.54347 -0.00244   611613.
16  10  -0.08787 -0.28395 -0.39487  0.91874  0.54349 -0.00243   634611.
16  20   0.00602 -0.29823 -0.39488  0.91873  0.54350 -0.00241   661609.
16  30   0.09991 -0.31251 -0.39488  0.91873  0.54351 -0.00240   684607.
16  40   0.19381 -0.32677 -0.39489  0.91873  0.54353 -0.00238   711605.
16  50   0.28771 -0.34103 -0.39489  0.91873  0.54354 -0.00237   734603.
17   0   0.38160 -0.35527 -0.39490  0.91872  0.54355 -0.00236   761601.
17  10   0.47550 -0.36951 -0.39491  0.91872  0.54356 -0.00235   784558.
17  20   0.56939 -0.38373 -0.39491  0.91872  0.54358 -0.00234   811556.
17  30   0.66329 -0.39794 -0.39492  0.91872  0.54359 -0.00233   834554.
17  40   0.75718 -0.41214 -0.39492  0.91872  0.54359 -0.00232   861552.
17  50   0.85107 -0.42633 -0.39493  0.91871  0.54360 -0.00231   884550.
18   0   0.94496 -0.44051 -0.39493  0.91871  0.54361 -0.00230   911548.
18  10   1.03885 -0.45468 -0.39494  0.91871  0.54362 -0.00229   934546.
18  20   1.13274 -0.46883 -0.39494  0.91871  0.54363 -0.00229   961544.
18  30   1.22662 -0.48298 -0.39495  0.91870  0.54363 -0.00228   984542.
18  40   1.32050 -0.49711 -0.39495  0.91870  0.54364 -0.00228  1011539.
18  50   1.41438 -0.51124 -0.39496  0.91870  0.54364 -0.00227  1034537.
19   0   1.50826 -0.52535 -0.39496  0.91870  0.54364 -0.00227  1061535.
19  10   1.60213 -0.53945 -0.39497  0.91869  0.54365 -0.00226  1084533.
19  20   1.69600 -0.55354 -0.39497  0.91869  0.54365 -0.00226  1111531.
19  30   1.78986 -0.56762 -0.39498  0.91869  0.54365 -0.00226  1134529.

time       x'       y'
 13    0.009383   -0.001448
 14    0.009386   -0.001442    Tan(fi) =  0.00472340
 15    0.009388   -0.001436    Tan(fe) =  0.00474705
 16    0.009389   -0.001430    Mu'     =  0.00436230
 17    0.009390   -0.001424
 18    0.009389   -0.001417
 19    0.009387   -0.001411