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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