Solar eclipse of July 13, 2075

This eclipse is a member of a semester series. An eclipse in a semester series of solar eclipses repeats approximately every 177 days and 4 hours (a semester) at alternating nodes of the Moon's orbit.[1]

122	February 7, 2073 Partial	127	August 3, 2073 Total
132	January 27, 2074 Annular	137	July 24, 2074 Annular
142	January 16, 2075 Total	147	July 13, 2075 Annular
152	January 6, 2076 Total	157	July 1, 2076 Partial

Solar saros 147, repeating every about 18 years and 11 days, contains 80 events. The series started with a partial solar eclipse on October 12, 1624. It has annular eclipses from May 31, 2003, to July 31, 2706. There are no total eclipses in this series. The series ends at member 80 as a partial eclipse on February 24, 3049. The longest annular eclipse will be on November 21, 2291, at 9 minutes and 41 seconds.[2]

Series members 17–27 occur between 1901 and 2100:
17	18	19
April 6, 1913	April 18, 1931	April 28, 1949
20	21	22
May 9, 1967	May 19, 1985	May 31, 2003
23	24	25
June 10, 2021	June 21, 2039	July 1, 2057
26	27
July 13, 2075	July 23, 2093

This eclipse is a part of the long period inex cycle, repeating at alternating nodes, every 358 synodic months (≈ 10,571.95 days, or 29 years minus 20 days). Their appearance and longitude are irregular due to a lack of synchronization with the anomalistic month (period of perigee). However, groupings of 3 inex cycles (≈ 87 years minus 2 months) comes close (≈ 1,151.02 anomalistic months), so eclipses are similar in these groupings.

Inex series members between 1901 and 2100:
November 11, 1901 (Saros 141)	October 21, 1930 (Saros 142)	October 2, 1959 (Saros 143)
September 11, 1988 (Saros 144)	August 21, 2017 (Saros 145)	August 2, 2046 (Saros 146)
July 13, 2075 (Saros 147)

The metonic series repeats eclipses every 19 years (6939.69 days), lasting about 5 cycles. Eclipses occur in nearly the same calendar date. In addition, the octon subseries repeats 1/5 of that or every 3.8 years (1387.94 days). All eclipses in this table occur at the Moon's ascending node.

21 eclipse events, progressing from south to north between July 13, 2018 and July 12, 2094
July 12–13	April 30-May 1	February 16–17	December 5–6	September 22–23
117	119	121	123	125
July 13, 2018	April 30, 2022	February 17, 2026	December 5, 2029	September 23, 2033
127	129	131	133	135
July 13, 2037	April 30, 2041	February 16, 2045	December 5, 2048	September 22, 2052
137	139	141	143	145
July 12, 2056	April 30, 2060	February 17, 2064	December 6, 2067	September 23, 2071
147	149	151	153	155
July 13, 2075	May 1, 2079	February 16, 2083	December 6, 2086	September 23, 2090
157
July 12, 2094