Tzolkinex

The tzolkinex is an eclipse cycle equal to a period of two saros (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:

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 13, 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
DateSarosGammaMagnitudeGraphDateSarosGammaMagnitudeGraph
1971 Feb 251491.120.791970 Mar 071390.451.04
1978 Apr 07148-1.110.791977 Apr 18138-0.400.95
1985 May 191471.070.841984 May 301370.281.00
1992 Jun 30146-0.751.061991 Jul 11136-0.001.08
1999 Aug 111450.511.031998 Aug 22135-0.260.97
2006 Sep 22144-0.410.942005 Oct 031340.330.96
2013 Nov 031430.321.022012 Nov 13133-0.371.05
2020 Dec 14142-0.291.032019 Dec 261320.410.97
2028 Jan 261410.390.922027 Feb 06131-0.300.93
2035 Mar 09140-0.440.992034 Mar 201300.291.05
2042 Apr 201390.291.062041 Apr 30129-0.441.02
2049 May 31138-0.120.962048 Jun 111280.650.94
2056 Jul 12137-0.040.992055 Jul 24127-0.801.04
2063 Aug 241360.281.072062 Sep 031261.020.97
2070 Oct 04135-0.490.972069 Oct 15125-1.250.53
2077 Nov 151340.470.942076 Nov 261241.140.73
2084 Dec 27133-0.411.042084 Jan 07123-1.070.87
2092 Feb 071320.430.982091 Feb 181221.180.66
2099 Mar 21131-0.400.932098 Apr 01121-1.100.80

See also

References

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