Computer Ephemeris for 2019 from DE200/LE200.

Elements of Total Lunar eclipse - 21 Jan 2019.

2019 Jan  21  5h10m19.50s   Min(gamma) = 0.36900   t = time -  5h10m

Geocentric coordinates of the Sun:
Right ascension =  201216.554 + t *    10.567 + t * t * -0.001
Declination     = -195749.957 + t *    33.122 + t * t *  0.020
Parallax        =       8.937
Radius          =    1615.232 + t *    -0.004

Geocentric coordinates of the Moon:
Right ascension =   81219.430 + t *   241.134 + t * t * -0.061
Declination     =  202029.725 + t *  -448.322 + t * t * -4.658
Parallax        =   10117.885 + t *     0.524 + t * t * -0.018
Radius          =    1642.149 + t *     0.143 + t * t * -0.005

Contacts of the eclipse:
Begin Semishadow eclipse:   2 36.20
Begin Partial    eclipse:   3 34.75
Begin Total      eclipse:   4 44.74
Phase Maximum of eclipse:   5 13.42
End   Total      eclipse:   5 45.28
End   Partial    eclipse:   6 52.17
End   Semishadow eclipse:   7 50.67

Elements of the lunar eclipse:
 time    sigma     d        P      ph     ph/     ui       ue
 2  20  6309.62  2.288  109.22  -1.273  -0.280  2757.91  4747.40
 2  30  5963.27  2.162  109.96  -1.100  -0.107  2758.01  4747.50
 2  40  5617.98  2.037  110.78  -0.927   0.066  2758.12  4747.61
 2  50  5273.99  1.912  111.72  -0.756   0.237  2758.22  4747.71
 3   0  4931.56  1.788  112.78  -0.585   0.408  2758.32  4747.81
 3  10  4591.05  1.664  114.00  -0.415   0.578  2758.42  4747.91
 3  20  4252.93  1.542  115.42  -0.246   0.747  2758.52  4748.01
 3  30  3917.82  1.420  117.07  -0.078   0.914  2758.62  4748.11
 3  40  3586.57  1.300  119.04   0.087   1.080  2758.72  4748.21
 3  50  3260.36  1.182  121.40   0.250   1.243  2758.82  4748.30
 4   0  2940.89  1.066  124.28   0.409   1.402  2758.92  4748.40
 4  10  2630.61  0.953  127.85   0.564   1.557  2759.01  4748.49
 4  20  2333.20  0.846  132.35   0.713   1.705  2759.11  4748.59
 4  30  2054.27  0.745  138.12   0.852   1.844  2759.20  4748.68
 4  40  1802.43  0.653  145.60   0.977   1.970  2759.30  4748.77
 4  50  1590.62  0.576  155.27   1.083   2.076  2759.39  4748.86
 5   0  1436.67  0.521  167.44   1.160   2.153  2759.48  4748.95
 5  10  1360.37  0.493  181.70   1.198   2.191  2759.57  4749.04
 5  20  1374.74  0.498  196.63   1.191   2.184  2759.66  4749.13
 5  30  1477.13  0.535  210.35   1.140   2.132  2759.75  4749.22
 5  40  1651.28  0.598  221.74   1.053   2.046  2759.83  4749.30
 5  50  1877.32  0.680  230.69   0.940   1.933  2759.92  4749.39
 6   0  2138.87  0.775  237.58   0.810   1.802  2760.00  4749.47
 6  10  2424.48  0.878  242.91   0.667   1.660  2760.09  4749.55
 6  20  2726.60  0.988  247.09   0.517   1.509  2760.17  4749.64
 6  30  3040.32  1.101  250.43   0.360   1.353  2760.25  4749.72
 6  40  3362.39  1.218  253.13   0.200   1.192  2760.33  4749.80
 6  50  3690.65  1.337  255.36   0.036   1.028  2760.41  4749.87
 7   0  4023.57  1.458  257.22  -0.130   0.862  2760.49  4749.95
 7  10  4360.10  1.579  258.80  -0.298   0.694  2760.57  4750.03
 7  20  4699.46  1.702  260.15  -0.467   0.525  2760.65  4750.11
 7  30  5041.08  1.826  261.32  -0.637   0.355  2760.72  4750.18
 7  40  5384.54  1.950  262.34  -0.809   0.184  2760.80  4750.25
 7  50  5729.50  2.075  263.24  -0.981   0.012  2760.87  4750.33
 8   0  6075.72  2.201  264.03  -1.153  -0.161  2760.95  4750.40
 8  10  6422.99  2.326  264.74  -1.326  -0.334  2761.02  4750.47