Computer Ephemeris for 2018 from DE200/LE200.

Elements of the Partial Solar eclipse - 13 Jul 2018.

2018 Jul  13  3h11m27.37s   Min(gamma) = 1.35441   t = time -  3h20m

Geocentric coordinates of the Sun:
Right ascension =   72934.116 + t *    10.161 + t * t * -0.001
Declination     =  215024.218 + t *   -21.676 + t * t * -0.020
Parallax        =       8.651
Radius          =    1543.977 + t *     0.002

Geocentric coordinates of the Moon:
Right ascension =   72958.943 + t *   242.394 + t * t * -0.035
Declination     =  202703.373 + t *  -225.796 + t * t * -4.712
Parallax        =   10120.414 + t *     0.178 + t * t * -0.018
Radius          =    1642.838 + t *     0.049 + t * t * -0.005

Contacts of the eclipse:
Contacts of the eclipse:
Begin Semishadow eclipse:   1 49.19
Phase Maximum of eclipse:   3  2.25
End   Semishadow eclipse:   4 15.23

Besselian elements
 time     x        y         sind     cosd      ue       ui      mu
 0   0  -1.84742 -1.25160  0.37239  0.92808  0.52971 -0.01613  1783424.
 0  10  -1.75033 -1.25707  0.37237  0.92808  0.52972 -0.01612  1810424.
 0  20  -1.65323 -1.26255  0.37236  0.92809  0.52973 -0.01611  1833424.
 0  30  -1.55612 -1.26803  0.37234  0.92810  0.52974 -0.01611  1860425.
 0  40  -1.45902 -1.27351  0.37233  0.92810  0.52974 -0.01610  1883425.
 0  50  -1.36190 -1.27900  0.37231  0.92811  0.52975 -0.01609  1910425.
 1   0  -1.26479 -1.28450  0.37229  0.92811  0.52976 -0.01608  1933425.
 1  10  -1.16767 -1.29000  0.37228  0.92812  0.52977 -0.01608  1960425.
 1  20  -1.07055 -1.29550  0.37226  0.92813  0.52977 -0.01607  1983425.
 1  30  -0.97343 -1.30101  0.37225  0.92813  0.52978 -0.01607  2010425.
 1  40  -0.87630 -1.30652  0.37223  0.92814  0.52978 -0.01606  2033426.
 1  50  -0.77917 -1.31204  0.37221  0.92815  0.52978 -0.01606  2060426.
 2   0  -0.68204 -1.31756  0.37220  0.92815  0.52979 -0.01606  2083426.
 2  10  -0.58491 -1.32308  0.37218  0.92816  0.52979 -0.01606  2110426.
 2  20  -0.48778 -1.32861  0.37217  0.92817  0.52979 -0.01605  2133426.
 2  30  -0.39064 -1.33415  0.37215  0.92817  0.52979 -0.01605  2160426.
 2  40  -0.29351 -1.33968  0.37213  0.92818  0.52979 -0.01605  2183426.
 2  50  -0.19637 -1.34523  0.37212  0.92819  0.52979 -0.01605  2210427.
 3   0  -0.09923 -1.35077  0.37210  0.92819  0.52979 -0.01606  2233427.
 3  10  -0.00210 -1.35632  0.37209  0.92820  0.52978 -0.01606  2260427.
 3  20   0.09504 -1.36188  0.37207  0.92820  0.52978 -0.01606  2283427.
 3  30   0.19217 -1.36744  0.37205  0.92821  0.52978 -0.01607  2310427.
 3  40   0.28931 -1.37300  0.37204  0.92822  0.52977 -0.01607  2333427.
 3  50   0.38644 -1.37857  0.37202  0.92822  0.52977 -0.01608  2360427.
 4   0   0.48357 -1.38414  0.37201  0.92823  0.52976 -0.01608  2383428.
 4  10   0.58070 -1.38972  0.37199  0.92824  0.52975 -0.01609  2410428.
 4  20   0.67783 -1.39530  0.37197  0.92824  0.52975 -0.01610  2433428.
 4  30   0.77495 -1.40088  0.37196  0.92825  0.52974 -0.01610  2460428.
 4  40   0.87207 -1.40647  0.37194  0.92826  0.52973 -0.01611  2483428.
 4  50   0.96919 -1.41207  0.37193  0.92826  0.52972 -0.01612  2510428.
 5   0   1.06631 -1.41766  0.37191  0.92827  0.52971 -0.01613  2533428.
 5  10   1.16342 -1.42327  0.37189  0.92828  0.52970 -0.01614  2560429.
 5  20   1.26053 -1.42887  0.37188  0.92828  0.52969 -0.01615  2583429.
 5  30   1.35764 -1.43448  0.37186  0.92829  0.52968 -0.01617  2610429.
 5  40   1.45474 -1.44009  0.37184  0.92829  0.52966 -0.01618  2633429.
 5  50   1.55184 -1.44571  0.37183  0.92830  0.52965 -0.01619  2660429.
 6   0   1.64893 -1.45133  0.37181  0.92831  0.52963 -0.01621  2683429.
 6  10   1.74602 -1.45696  0.37180  0.92831  0.52962 -0.01622  2710430.
 6  20   1.84310 -1.46259  0.37178  0.92832  0.52960 -0.01624  2733430.
 6  30   1.94018 -1.46822  0.37176  0.92833  0.52959 -0.01625  2760430.
 6  40   2.03725 -1.47386  0.37175  0.92833  0.52957 -0.01627  2783430.

time       x'       y'
  1    0.009712   -0.000550
  2    0.009713   -0.000552    Tan(fi) =  0.00457285
  3    0.009714   -0.000555    Tan(fe) =  0.00459574
  4    0.009713   -0.000557    Mu'     =  0.00436339
  5    0.009711   -0.000560
  6    0.009709   -0.000562