PETIN M.I.
PETIN - METON calendar
Contents - http://Petin1Mikhail.narod.ru/index.htm
Enclosure 2. Some reference astronomical data.
Natural cycles:
1 terrestrial cycle = 1 day is the period of rotation of the Earth around its axis.
1 lunar cycle = 1 lunar month = 29,530588531 days is the period of change of the Moon phases.
1 Meton lunar cycle = 235 lunar months = 6939,6883 days. (See also the table of lunar years - http://Petin12Mikhail.narod.ru/index.htm )
1 solar cycle = 1 solar year (tropical) = 365,242195 days is the period between two Eastern equinox sequence in rotation of the Earth around the Sun.
1 Meton solar cycle = 19 solar years (tropical) = 6939,6017 days.
1 Grand Meton lunar cycle = 341 Meton lunar cycles = 2 366 433,712 days.
1 Grand Meton solar cycle = 341 Meton solar cycles = 2 366 404,181 days = 6479 solar years (tropical).
d - the drift of the lunar cycle relatively the solar cycle.
+d = 1 lunar month = 29,531 days = 1 Grand Meton lunar cycle - 1 Grand Meton solar cycle.
(6939,6883 Ц 6939,6017) days day day
velocity of drift = ------------------------------------------- = 0,00456 ------ (or 0, 0866 ---------------- )
19 solar years year Meton cycle
1 precession cycle = 25 796,178343949 solar years (tropical) is the period of movement the Earth axis on the cycle cone about stars (precession). In the PETIN Ц METON Calendar the influence of precession is taken into account by means of the solar years (tropical).
The days are counted out since the beginning ( 0 ) of The PETIN-METON Calendar epoch, which was at noon of December, 21, 4694 BCE ( Gregorian proleptic calendar) - see also: http://Petin65Mikhail.narod.ru/index.htm . The midday of this Date coincided with the Southern solstice and the New Moon, i.e. it was the eclipse of the Sun at this moment.
Note. A unique peculiarity of the date - December, 21, 4694 BCE ( Gregorian proleptic calendar) - is a presence in a lunar cycle ( January, 19, 4693 BCE) the second
solar eclipse. The recurrence of a similar situation will be in each 6479 solar year, i.e.
1786 Dec 21, ....... 1787 Jan 19,
8265 Dec 21, ...... 8266 Jan 19 etc.
Duration of lunar months, their consecutive alternation in a year, provisional conformity to months of solar (Gregorian) year are shown in the Table 3 of Enclosure 1 - http://Petin12Mikhail.narod.ru/index.htm and also below in the text.
1996 - 1 year of MetonТs cycle = 12 lunar months = 7 x 30 + 5 x 29 = 355 days,
1997 - 2 л = 12 л = 6 x 30 + 6 x 29 = 354 л ,
1998 - 3 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
1999 - 4 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
2000 - 5 л = 12 л = 7 ї 30 + 5 ї 29 = 355 л ,
2001 - 6 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2002 - 7 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
2003 - 8 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2004 - 9 л = 12 л = 7 ї 30 + 5 ї 29 = 355 л ,
2005 - 10 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2006 - 11 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
2007 - 12 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
2008 - 13 л = 12 л = 7 ї 30 + 5 ї 29 = 355 л ,
2009 - 14 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2010 - 15 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л ,
2011 - 16 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2012 - 17 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2013 - 18 л = 12 л = 6 ї 30 + 6 ї 29 = 354 л ,
2014 - 19 л = 13 л = 7 ї 30 + 6 ї 29 = 384 л.
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235 lunar months = 29,5305885 x 235 = 6939,6883 days ~ 125 x 30 + 110 x 29 = 6940 days,
19 solar years = 365,242195 x 19 = 6939,6017 days ~ 365 x 19 + 5 leap days = 6940 days.
Note. Conformity of lunar years in the MetonТs cycle to solar (Gregorian) years
is chosen proceeding from the best coincidence of their dates of New Year.
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Contents - http://Petin1Mikhail.narod.ru/index.htm