Solar eclipses of 2083–2087
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. [3]
The partial solar eclipses on February 16, 2083 and August 13, 2083 occur in the previous lunar year eclipse set, and the partial solar eclipses on May 2, 2087 and October 26, 2087 occur in the next lunar year eclipse set.
Saros 118
This eclipse is a part of Saros series 118, repeating every 18 years, 11 days, and containing 72 events. The series started with a partial solar eclipse on May 24, 803 AD. It contains total eclipses from August 19, 947 AD through October 25, 1650; hybrid eclipses on November 4, 1668 and November 15, 1686; and annular eclipses from November 27, 1704 through April 30, 1957. The series ends at member 72 as a partial eclipse on July 15, 2083. Its eclipses are tabulated in three columns; every third eclipse in the same column is one exeligmos apart, so they all cast shadows over approximately the same parts of the Earth.
The longest duration of totality was produced by member 34 at 6 minutes, 59 seconds on May 16, 1398, and the longest duration of annularity was produced by member 59 at 1 minutes, 58 seconds on February 23, 1849. All eclipses in this series occur at the Moon’s descending node of orbit. [4]
| Series members 57–72 occur between 1801 and 2083: |
|---|
| 57 | 58 | 59 |
|---|
February 1, 1813 | 
February 12, 1831 | 
February 23, 1849 |
| 60 | 61 | 62 |
|---|
March 6, 1867 | 
March 16, 1885 | 
March 29, 1903 |
| 63 | 64 | 65 |
|---|
April 8, 1921 | 
April 19, 1939 | 
April 30, 1957 |
| 66 | 67 | 68 |
|---|
May 11, 1975 | 
May 21, 1993 | 
June 1, 2011 |
| 69 | 70 | 71 |
|---|
June 12, 2029 | 
June 23, 2047 | 
July 3, 2065 |
| 72 |
|---|
July 15, 2083 |
Metonic series
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.
| 22 eclipse events between July 15, 2083 and December 7, 2170 |
|---|
| July 14–15 | May 2–3 | February 18–19 | December 7–8 | September 25–26 |
|---|
| 118 | 120 | 122 | 124 | 126 |
|---|
July 15, 2083 | 
May 2, 2087 | 
February 18, 2091 | 
December 7, 2094 | 
September 25, 2098 |
| 128 | 130 | 132 | 134 | 136 |
|---|
July 15, 2102 | 
May 3, 2106 | 
February 18, 2110 | 
December 8, 2113 | 
September 26, 2117 |
| 138 | 140 | 142 | 144 | 146 |
|---|
July 14, 2121 | 
May 3, 2125 | 
February 18, 2129 | 
December 7, 2132 | 
September 26, 2136 |
| 148 | 150 | 152 | 154 | 156 |
|---|
July 14, 2140 | 
May 3, 2144 | 
February 19, 2148 | 
December 8, 2151 | 
September 26, 2155 |
| 158 | 160 | 162 | 164 |
|---|
July 15, 2159 | | | 
December 7, 2170 |
Tritos series
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 2083 and 2200 |
|---|
July 15, 2083
(Saros 118) | 
June 13, 2094
(Saros 119) | 
May 14, 2105
(Saros 120) | 
April 13, 2116
(Saros 121) | 
March 13, 2127
(Saros 122) |
February 9, 2138
(Saros 123) | 
January 9, 2149
(Saros 124) | 
December 9, 2159
(Saros 125) | 
November 8, 2170
(Saros 126) | 
October 8, 2181
(Saros 127) |
September 6, 2192
(Saros 128) |
Inex series
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.
The partial solar eclipses on January 12, 1823 (part of Saros 109) and December 2, 1880 (part of Saros 111) are also a part of this series but are not included in the table below.
| Series members between 2054 and 2200 |
|---|
August 3, 2054
(Saros 117) |
July 15, 2083
(Saros 118) | 
June 24, 2112
(Saros 119) |
June 4, 2141
(Saros 120) | 
May 16, 2170
(Saros 121) | 
April 25, 2199
(Saros 122) |
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