Solar eclipse of January 16, 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

It is a part of Saros cycle 142, repeating every 18 years, 11 days, containing 72 events. The series started with partial solar eclipse on April 17, 1624. It contains one hybrid eclipse on July 14, 1768, and total eclipses from July 25, 1786 through October 29, 2543. The series ends at member 72 as a partial eclipse on June 5, 2904. The longest duration of totality will be 6 minutes, 34 seconds on May 28, 2291. All eclipses in this series occurs at the Moon’s descending node.[2]

Series members 17–41 occur between 1901 and 2359
17	18	19
October 10, 1912	October 21, 1930	November 1, 1948
20	21	22
November 12, 1966	November 22, 1984	December 4, 2002
23	24	25
December 14, 2020	December 26, 2038	January 5, 2057
26	27	28
January 16, 2075	January 27, 2093	February 8, 2111
29	30	31
February 18, 2129	March 2, 2147	March 12, 2165
32	33	34
March 23, 2183	April 4, 2201	April 15, 2219
35	36	37
April 25, 2237	May 7, 2255	May 17, 2273
38	39	40
May 28, 2291	June 9, 2309	June 20, 2327
41
June 30, 2345

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:
May 18, 1901 (Saros 136)	April 28, 1930 (Saros 137)	April 8, 1959 (Saros 138)
March 18, 1988 (Saros 139)	February 26, 2017 (Saros 140)	February 5, 2046 (Saros 141)
January 16, 2075 (Saros 142)

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).

21 eclipse events between June 12, 2029 and June 12, 2105
June 11–12	March 30–31	January 16	November 4–5	August 23–24
118	120	122	124	126
June 12, 2029	March 30, 2033	January 16, 2037	November 4, 2040	August 23, 2044
128	130	132	134	136
June 11, 2048	March 30, 2052	January 16, 2056	November 5, 2059	August 24, 2063
138	140	142	144	146
June 11, 2067	March 31, 2071	January 16, 2075	November 4, 2078	August 24, 2082
148	150	152	154
June 11, 2086	March 31, 2090	January 16, 2094	November 4, 2097