PETIN M.I.

                         PETIN - METON calendar

 

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

 
 
     3. The results of calculations (Part 2).
 For the demonstration of the accuracy of the PETIN-METON Calendar
http://PetinMikhail.narod.ru/index.htm  )are chosen two variants 
(for mean Lunation = 29,5305888531 days):
 
1)    the accuracy is within limits of -1,2040 to +1,6107 days, 
if sequence of Meton cycles is the following:                           

             52{24[5(L+s+L)+L]+L}= 380 380 years,                (1),

 

2)    the accuracy is within limits of  -1,3616 to +1,4566 days, 
if sequence of Meton cycles is the following: 

   260{ 2[6(L+s+L)+L]+L+2[6(L+s+L)+L] } = 380 380 years,   (2).

 

      According to the expressions (1), (2) and the tables 6B, 7, 8  and taking into account that the misalignment ranges for L (i.e., L + Month 1 of the next year) and s (i.e.,  s + Month 1 of the next year) are equal to:

 

-        for L: -1,1058346- +0,3670626 days,
-        for s: -0,1058340- +1,3659009 days,
 
we have the following misalignments:
 
                                    The misalignments:
                                range,             in end
                                 day               cycle,
                                                    day
- variant 1:    

                                                                                              !

                     L= -1,1058346- +0,3670626!  -0,3116935     19 years

                  L+s=      <      +1,0542074!  +0,3766136     38

               L+s+L= -1,1058346-     <        +0,0649201     57

            5(L+s+L)=      <      +1,3138878   +0,3246005    285

         5(L+s+L)+L=      <          <        +0,0129070    304

     24[5(L+s+L)+L]=      <      +1,6107458   +0,3097680   7296

  24[5(L+s+L)+L]+L=  -1,1058346     <        -0,0019255   7315

52{24[5(L+s+L)+L]+L}=-1,2040351 +1,6107458   -0,1001260 380380 years

 

                 52{24[5(L+s+L)+L]+L}= 380 380 years.

                The misalignment range is 2,8147809. 

                                                                                                                                  

-  variant 2:

                     L= -1,1058346- +0,3670626!  -0,3116935     19 years

                  L+s=      <      +1,0542074!  +0,3766136     38

               L+s+L= -1,1058346-     <        +0,0649201     57

            6(L+s+L)=      <      +1,3788079   +0,3895206    342

         6(L+s+L)+L=      <          <        +0,0778271    361

      2[6(L+s+L)+L]=      <      +1,4566350   +0,1556542    722

   2[6(L+s+L)+L]+L=      <          <        -0,1560393    741

   2[6(L+s+L)+L]+L+

  +2[6(L+s+L)+L     = -1,2618739  +1,4566350   -0,0003851   1463

     260{ . . }        = -1,3616139  +1,4566350   -0,1001260 380380 years

 

                        260{ 2[6(L+s+L)+L]+L+2[6(L+s+L)+L] } = 380 380 years

                       The misalignment range  is 2,8182489 days.

 

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