Tzolkinex

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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.

Contents

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.

NowOne lunar year earlier
DateSarosGammaMagnitudeGraphDateSarosGammaMagnitudeGraph
1971 Feb 25 1491.120.79 SE1971Feb25P.png 1970 Mar 071390.451.04 SE1970Mar07T.png
1978 Apr 07148-1.110.79 SE1978Apr07P.png 1977 Apr 18138-0.400.95 SE1977Apr18A.png
1985 May 191471.070.84 SE1985May19P.png 1984 May 301370.281.00 SE1984May30A.png
1992 Jun 30146-0.751.06 SE1992Jun30T.png 1991 Jul 11136-0.001.08 SE1991Jul11T.png
1999 Aug 111450.511.03 SE1999Aug11T.png 1998 Aug 22135-0.260.97 SE1998Aug22A.png
2006 Sep 22144-0.410.94 SE2006Sep22A.png 2005 Oct 031340.330.96 SE2005Oct03A.png
2013 Nov 031430.321.02 SE2013Nov03H.png 2012 Nov 13133-0.371.05 SE2012Nov13T.png
2020 Dec 14 142-0.291.03 SE2020Dec14T.png 2019 Dec 261320.410.97 SE2019Dec26A.png
2028 Jan 261410.390.92 SE2028Jan26A.png 2027 Feb 06131-0.300.93 SE2027Feb06A.png
2035 Mar 09140-0.440.99 SE2035Mar09A.png 2034 Mar 201300.291.05 SE2034Mar20T.png
2042 Apr 201390.291.06 SE2042Apr20T.png 2041 Apr 30129-0.441.02 SE2041Apr30T.png
2049 May 31138-0.120.96 SE2049May31A.png 2048 Jun 111280.650.94 SE2048Jun11A.png
2056 Jul 12137-0.040.99 SE2056Jul12A.png 2055 Jul 24127-0.801.04 SE2055Jul24T.png
2063 Aug 241360.281.07 SE2063Aug24T.png 2062 Sep 031261.020.97 SE2062Sep03P.png
2070 Oct 04135-0.490.97 SE2070Oct04A.png 2069 Oct 15125-1.250.53 SE2069Oct15P.png
2077 Nov 151340.470.94 SE2077Nov15A.png 2076 Nov 261241.140.73 SE2076Nov26P.png
2084 Dec 27133-0.411.04 SE2084Dec27T.png 2084 Jan 07123-1.070.87 SE2084Jan07P.png
2092 Feb 071320.430.98 SE2092Feb07A.png 2091 Feb 181221.180.66 SE2091Feb18P.png
2099 Mar 21131-0.400.93 SE2099Mar21A.png 2098 Apr 01121-1.100.80 SE2098Apr01P.png

See also

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References

  1. "A Catalogue of Eclipse Cycles".