Computer Ephemeris for 2018 from DE200/LE200.

Elements of the Lunar eclipse - 31 Jan 2018.

2018 Jan  31 13h36m47.97s   Min(gamma) = 0.30082   t = time - 13h30m

Geocentric coordinates of the Sun:
Right ascension =  205618.670 + t *    10.214 + t * t * -0.001
Declination     = -171747.666 + t *    42.117 + t * t *  0.016
Parallax        =       8.926
Radius          =    1614.009 + t *    -0.006

Geocentric coordinates of the Moon:
Right ascension =   85602.436 + t *   234.377 + t * t * -0.134
Declination     =  165951.115 + t *  -700.469 + t * t * -3.531
Parallax        =   10052.559 + t *    -0.887 + t * t * -0.016
Radius          =    1635.249 + t *    -0.242 + t * t * -0.005

Contacts of the eclipse:
Begin Semishadow eclipse:  10 50.92
Begin Partial    eclipse:  11 49.28
Begin Total      eclipse:  12 54.68
Phase Maximum of eclipse:  13 30.97
End   Total      eclipse:  14  5.31
End   Partial    eclipse:  15 12.68
End   Semishadow eclipse:  16 11.11

Elements of the lunar eclipse:
 time    sigma     d        P      ph     ph/     ui       ue
10  40  6096.73  2.227   89.96  -1.187  -0.189  2737.43  4724.44
10  50  5751.94  2.101   89.33  -1.014  -0.016  2737.29  4724.30
11   0  5407.96  1.976   88.62  -0.841   0.157  2737.16  4724.17
11  10  5064.95  1.851   87.81  -0.669   0.329  2737.02  4724.03
11  20  4723.13  1.726   86.89  -0.497   0.500  2736.88  4723.89
11  30  4382.75  1.601   85.82  -0.327   0.671  2736.75  4723.75
11  40  4044.19  1.478   84.57  -0.157   0.841  2736.61  4723.61
11  50  3707.92  1.355   83.10   0.012   1.010  2736.47  4723.46
12   0  3374.63  1.233   81.33   0.179   1.177  2736.33  4723.32
12  10  3045.28  1.113   79.18   0.345   1.343  2736.18  4723.18
12  20  2721.29  0.995   76.52   0.507   1.505  2736.04  4723.03
12  30  2404.82  0.879   73.14   0.666   1.664  2735.90  4722.89
12  40  2099.25  0.767   68.75   0.820   1.818  2735.75  4722.74
12  50  1810.11  0.662   62.93   0.965   1.963  2735.61  4722.59
13   0  1546.62  0.565   55.00   1.097   2.095  2735.46  4722.44
13  10  1324.14  0.484   44.15   1.209   2.207  2735.31  4722.29
13  20  1166.35  0.426   29.68   1.288   2.286  2735.16  4722.14
13  30  1101.41  0.403   12.21   1.321   2.319  2735.02  4721.99
13  40  1145.18  0.419  354.40   1.299   2.297  2734.87  4721.84
13  50  1286.59  0.470  339.22   1.228   2.226  2734.71  4721.69
14   0  1498.23  0.548  327.68   1.121   2.120  2734.56  4721.54
14  10  1754.84  0.642  319.25   0.992   1.991  2734.41  4721.38
14  20  2039.51  0.746  313.07   0.849   1.848  2734.26  4721.23
14  30  2342.01  0.857  308.44   0.697   1.696  2734.10  4721.07
14  40  2656.25  0.972  304.89   0.539   1.538  2733.95  4720.91
14  50  2978.49  1.090  302.10   0.377   1.376  2733.79  4720.75
15   0  3306.40  1.210  299.86   0.212   1.211  2733.63  4720.60
15  10  3638.43  1.331  298.02   0.045   1.044  2733.48  4720.44
15  20  3973.54  1.454  296.50  -0.123   0.875  2733.32  4720.27
15  30  4311.00  1.577  295.21  -0.293   0.706  2733.16  4720.11
15  40  4650.30  1.702  294.11  -0.464   0.535  2733.00  4719.95
15  50  4991.04  1.826  293.16  -0.635   0.364  2732.84  4719.79
16   0  5332.96  1.952  292.33  -0.807   0.192  2732.67  4719.62
16  10  5675.82  2.077  291.60  -0.980   0.019  2732.51  4719.46
16  20  6019.47  2.203  290.96  -1.153  -0.154  2732.35  4719.29
16  30  6363.76  2.329  290.39  -1.326  -0.327  2732.18  4719.13