PETIN M.I.

                         PETIN - METON calendar

Contents - http://Petin1Mikhail.narod.ru/index.htm      

                Compensation of the drifts.  According to the solar calendar (the annual

        continuous numbering of days from the date of the Southern solstice - December, 21,

        see also the Table 1 of  Enclosure 1  -  http://Petin10Mikhail.narod.ru/index.htm):

- date     1 - Day of the Southern  solstice,  December, 21 ;

-   л     91  -      л         the Eastern  equinox,  March, 21;

-   л    183 -      л         the Northern  solstice,  June, 21;

-   л    275 -      л         the Western  equinox,  September, 21,

-   л    366 - Leap Day (February, 29).

     Synchronism of calendar lunar cycles with natural lunar cycles is provided in the

  PETIN-METON Calendar by the following amendments (4 variants, see also:

                http://Petin5Mikhail.narod.ru/index.htm   ,

                http://Petin48Mikhail.narod.ru/index.htm  ,

                http://Petin51Mikhail.narod.ru/index.htm  ):  

 -  variant M1ЦM4:      Duration of Month 12 is equal to 30 days in  1, 5, 9, 13-th years

                                                    of each Meton cycle, but:                   

-                                                     - 29 days - in 57n + 20-th year of each 361-year  M2 cycle

                                               in each 741-year M3 cycle of each 1463-year M4 cycle

                                              (where:  n - integers from 0 up to 5,

                                                            M1 - M4 cycles  - Petin cycles);

-  variant 1:   Duration of Month 12 is equal to 30 days in  1, 5, 9, 13-th years of each Meton cycle, but:                   

                             - 29 days - in 57n + 20-th year  of each 304-year  Hipparh cycle, 

                                               (where:  n - integers from 0 up to 4);

                                See also the formula:      52{24[5(L+s+L)+L]+L}=380 380 lunar years.   

-  variant  2:   Duration of Month 12 is equal to 30 days 1, 5, 9, 13-th years of each Meton cycle, but:                     

                             - 29 days - in 57n+20 years of each 304-year Hipparh cycle in each 855-year cycle B

                                                  (where:  n - integers from 0 up to 4);

                             - 29 days - in 16 250-th year of each 32 490-year cycle C (B, C - Petin cycles).

-  variant 3: Duration of Month 12 is equal to 30 days 1, 5, 9, 13-th years of each Meton cycle, but:                       

                             - 29 days - in 1-st year of each 57-year cycle A in each 418-year cycle D;

                             - 30 days - in 400-th year of each 418-year cycle D,

                             - 30 days - in 837-th year of each 855-year cycle B,

                             - 29 days - in 16 250-th year of each 32 490-year cycle C (A, B, C, D - Petin cycles).

     The natural solar cycle (365,242195 days) is submitted in the PETIN-METON Calendar by a solar calendar as integers (1  Е   365 or 366 days).

     The duration of simple solar year is equal to 365 days,

 but years:

р) multiple of            4, are equal to 365+1 = 366 days;

с) multiple of        100, are equal to 365 days;

т) multiple of        400, are equal to 365+1 = 366 days;

у) multiple of      3200, are equal to 365 days;

ф) multiple of 134 400, are equal to 365+1 = 366 days.

Note. For this purpose it is also possible to use a  way of correction of calendar solar years at which the duration of each year is equal to 365 days, but years:

р) multiple of            4, are equal to 365+1 = 366 days;

с) multiple of       128, are equal to 365 days;

т) multiple of 133 632, are equal to 365+1 = 366 days.

         The Leap Day (date 366) of a leap-year is established in the PETIN-METON Calendar consistently between dates 70 and 71 of  solar calendar (see Months 2-3  - http://Petin30Mikhail.narod.ru/index.htm ). Thus it is not required to change the date and structure of lunar months. 

           The 1996 Ц 2014  period is the 106-th Meton's cycle.

           Date 1 of Month 1, 1996 is January 20,  1996.

   In a calendar there are the precise methods of the drift compensation of solar and lunar calendars  relatively each other, and  the chosen calendar structure (see http://Petin6Mikhail.narod.ru/index.htm  )..

The drift period (1 lunar month) of  midday meridian of a data 1 Month 1 Year 1 of each Meton cycle concerning a midday meridian of Southern solstice date is compensated in the PETIN-METON calendar by excepting the additional Month 13 in every 6479-th year (i.e. in 19-th year of every 341-st Метоn cycle - see also:

http://Petin65Mikhail.narod.ru/index.htm     ).

 Note. At the calendar calculation  it was conditionally accepted, that the initial durations of solar and lunar cycles (equal accordingly  365,242195 and  29,530588531 days) do not change during the term of a calendar action application. 

  --------------------------------------------------------------------------------------

    Contents - http://Petin1Mikhail.narod.ru/index.htm