Solar eclipse of December 26, 2057

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]

Solar eclipse series sets from 2054-58
Ascending node			Descending node
Saros	Map		Saros	Map
117	August 3, 2054 Partial		122	January 27, 2055 Partial
127	July 24, 2055 Total		132	January 16, 2056 Annular
137	July 12, 2056 Annular		142	January 5, 2057 Total
147	July 1, 2057 Annular		152	December 26, 2057 Total
157	June 21, 2058 Partial

Solar saros 152, repeating every about 18 years and 11 days, contains 70 events. The series started with a partial solar eclipse on July 26, 1805. It has total eclipses from November 2, 1967, to September 14, 2490; hybrid eclipses from September 26, 2508, to October 17, 2544; and annular eclipses from October 29, 2562, to June 16, 2941. The series ends at member 70 as a partial eclipse on August 20, 3049. The longest total eclipse will occur on June 9, 2328, at 5 minutes and 15 seconds; the longest annular eclipse will occur on February 16, 2743, at 5 minutes and 20 seconds.[2]

Series members 7–17 occur between 1901 and 2100:
7	8	9
September 30, 1913	October 11, 1931	October 21, 1949
10	11	12
November 2, 1967	November 12, 1985	November 23, 2003
13	14	15
December 4, 2021	December 15, 2039	December 26, 2057
16	17
January 6, 2076	January 16, 2094

This eclipse is a part of a tritos cycle, repeating at alternating nodes every 135 synodic months (≈ 3986.63 days, or 11 years minus 1 month). Their appearance and longitude are irregular due to a lack of synchronization with the anomalistic month (period of perigee), but groupings of 3 tritos cycles (≈ 33 years minus 3 months) come close (≈ 434.044 anomalistic months), so eclipses are similar in these groupings.

Series members between 1901 and 2100
March 6, 1905 (Saros 138)	February 3, 1916 (Saros 139)	January 3, 1927 (Saros 140)
December 2, 1937 (Saros 141)	November 1, 1948 (Saros 142)	October 2, 1959 (Saros 143)
August 31, 1970 (Saros 144)	July 31, 1981 (Saros 145)	June 30, 1992 (Saros 146)
May 31, 2003 (Saros 147)	April 29, 2014 (Saros 148)	March 29, 2025 (Saros 149)
February 27, 2036 (Saros 150)	January 26, 2047 (Saros 151)	December 26, 2057 (Saros 152)
November 24, 2068 (Saros 153)	October 24, 2079 (Saros 154)	September 23, 2090 (Saros 155)

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 descending node.[3]

Octon series with 21 events between May 21, 1993 and August 2, 2065
May 20–21	March 8–9	December 25–26	October 13–14	August 1–2
98	100	102	104	106
May 21, 1955	March 9, 1959	December 26, 1962	October 14, 1966	August 2, 1970
108	110	112	114	116
May 21, 1974	March 9, 1978	December 26, 1981	October 14, 1985	August 1, 1989
118	120	122	124	126
May 21, 1993	March 9, 1997	December 25, 2000	October 14, 2004	August 1, 2008
128	130	132	134	136
May 20, 2012	March 9, 2016	December 26, 2019	October 14, 2023	August 2, 2027
138	140	142	144	146
May 21, 2031	March 9, 2035	December 26, 2038	October 14, 2042	August 2, 2046
148	150	152	154	156
May 20, 2050	March 9, 2054	December 26, 2057	October 13, 2061	August 2, 2065
158	160	162	164	166
May 20, 2069	March 8, 2073	December 26, 2076	October 13, 2080	August 1, 2084