Tzolkinex
The tzolkinex is an eclipse cycle equal to a period of two saroi (13,170.636 days) minus one inex (10,571.946 days). As consecutive eclipses in an inex series belongs to the next consecutive saros series, each consecutive Tzolkinex belongs to the previous saros series.
The tzolkinex is equal to 2598.691 days (about 7 years, 1 month and 12 days). It is related to the tritos in that a period of one tritos plus one tzolkinex is exactly equal to one saros. It is also related to the inex in that a period of one inex plus one tzolkinex is exactly equal to two saros.
It corresponds to:
- 88 synodic months
- 95.49723 draconic months
- 7.49723 eclipse years (15 eclipse seasons)
- 94.31081 anomalistic months.
Because of the non-integer number of anomalistic month each eclipse varies in type, i.e. total vs. annular, and greatly varies in length. From remainder of 0.31081, being near 1⁄3, every third tzolkinex comes close to an even number of anomalistic months, but occurs during a different season, and in the opposite hemisphere, thus they may be of the same type (annular vs. total) but otherwise do not have a similar character.
Details
It was first studied by George van den Bergh (1951). The name Tzolkinex was suggested by Felix Verbelen (2001) as its length is nearly 10 Tzolk'ins (260-day periods).[1]
It alternates hemispheres with each cycle, occurring at alternating nodes, each successive occurrence is one saros less than the last.
| Now | One lunar year earlier | ||||||||
| Date | Saros | Gamma | Magnitude | Graph | Date | Saros | Gamma | Magnitude | Graph |
|---|---|---|---|---|---|---|---|---|---|
| 1971 Feb 25 | 149 | 1.12 | 0.79 |  | 1970 Mar 07 | 139 | 0.45 | 1.04 |  |
| 1978 Apr 07 | 148 | -1.11 | 0.79 |  | 1977 Apr 18 | 138 | -0.40 | 0.95 |  |
| 1985 May 19 | 147 | 1.07 | 0.84 |  | 1984 May 30 | 137 | 0.28 | 1.00 |  |
| 1992 Jun 30 | 146 | -0.75 | 1.06 |  | 1991 Jul 11 | 136 | -0.00 | 1.08 |  |
| 1999 Aug 11 | 145 | 0.51 | 1.03 |  | 1998 Aug 22 | 135 | -0.26 | 0.97 |  |
| 2006 Sep 22 | 144 | -0.41 | 0.94 |  | 2005 Oct 03 | 134 | 0.33 | 0.96 |  |
| 2013 Nov 03 | 143 | 0.32 | 1.02 |  | 2012 Nov 13 | 133 | -0.37 | 1.05 |  |
| 2020 Dec 14 | 142 | -0.29 | 1.03 |  | 2019 Dec 26 | 132 | 0.41 | 0.97 |  |
| 2028 Jan 26 | 141 | 0.39 | 0.92 |  | 2027 Feb 06 | 131 | -0.30 | 0.93 |  |
| 2035 Mar 09 | 140 | -0.44 | 0.99 |  | 2034 Mar 20 | 130 | 0.29 | 1.05 |  |
| 2042 Apr 20 | 139 | 0.29 | 1.06 |  | 2041 Apr 30 | 129 | -0.44 | 1.02 |  |
| 2049 May 31 | 138 | -0.12 | 0.96 |  | 2048 Jun 11 | 128 | 0.65 | 0.94 |  |
| 2056 Jul 12 | 137 | -0.04 | 0.99 |  | 2055 Jul 24 | 127 | -0.80 | 1.04 |  |
| 2063 Aug 24 | 136 | 0.28 | 1.07 |  | 2062 Sep 03 | 126 | 1.02 | 0.97 |  |
| 2070 Oct 04 | 135 | -0.49 | 0.97 |  | 2069 Oct 15 | 125 | -1.25 | 0.53 |  |
| 2077 Nov 15 | 134 | 0.47 | 0.94 |  | 2076 Nov 26 | 124 | 1.14 | 0.73 |  |
| 2084 Dec 27 | 133 | -0.41 | 1.04 |  | 2084 Jan 07 | 123 | -1.07 | 0.87 |  |
| 2092 Feb 07 | 132 | 0.43 | 0.98 |  | 2091 Feb 18 | 122 | 1.18 | 0.66 |  |
| 2099 Mar 21 | 131 | -0.40 | 0.93 |  | 2098 Apr 01 | 121 | -1.10 | 0.80 |  |