Thanks to readers for their patience, I hope it is paying off here. This is the current state of the art for the calendar sets A, B, and C, and the planetary values they’re made of. No doubt it still isn’t perfect and more definitive values for some of the ratios may be hoped for, but this is the closest thing the first working model I’ve come up with and to get it to work that well may mean something important.
Representing the Planet Cycles with Pi Based Math
Item – A value B value C value
1/2 Venus Cycle 18983.99126 18997.72194 18990.40381
Earth Year – formula: 1/2 Venus Cycle / ((1 / (12 x Pi^2)) = Earth Year
Earth Year 364.7562611 365.0200808 364.8794711
Lunar Year – formula: Earth Year / (20.62648062 / 20) = Lunar Year
Lunar Year 353.6776514 353.9334582 353.7971192
Anomalistic Month – formula: see others; EY / 1.323891336
Anomalistic Month 27.55182778 27.57175539 27.56113483
Eclipse Year – formula: VOP x 1.541011111?
Eclipse Year 346.4769011 346.7274999 346.5939367
Mercury Orbital Period a – formula: SOP / 12.23194029 = MeSP a / 1.315947254?
Mercury Orbital Period 87.88884858 87.95241650 87.91853635
Mercury Orbital Period b – formula: MeSP a / 1.315947254 = MeOP?
Mercury Orbital Period 88.22961836 88.29343281 88.25942115
Mercury Synodic Period a – formula: EY / Pi = MeSP a?
Mercury Synodic Period 116.1055240 116.1895004 116.1447429
Mercury Synodic Period b – formula: LY / 3.057985078 = MeOP / 1.315947254?
Mercury Synodic Period 115.6570887 115.7407408 115.6961562
Venus Orbital Period – formula: Earth Year / 1.622311470 = VOP
Venus Orbital Period 224.8373804 225.0000000 224.9133276
Venus Synodic Period – formula: VOP x 2.597575757 = = EY / 16.01157243?
Venus Synodic Period 584.0321286 584.4545456 584.2294073
Mars Orbital Period – formula: VSP / 1.177245771; LY x 1.942594968
Mars Orbital Period 687.5493542 688.0466421 687.8143079
Mars Synodic Period – formula: Earth Year x (1.067438159 x 2)?
Mars Synodic Period 778.7095037 779.2727261 778.9725418
Jupiter Orbital Period – formula: VSP x 7.412764997 = JOP?
Jupiter Orbital Period 4329.292924 4332.424198 4330.961258
Jupiter Synodic Period – formula: MeSP a x (1.718873385 x 2)?
Jupiter Synodic Period 399.1413901 399.4300799 399.2762148
Saturn Orbital Period – formula: Lunar Year x (30 / (Pi^2)) = SOP?
Saturn Orbital Period 10750.51148 10758.28707 10754.14287
Saturn Synodic Period – formula: LY x 1.067438159 = SSP; MSP / 2.062648062?
Saturn Synodic Period 377.5290210 377.8022316 377.6565456
There’s a great deal of cross-checking to do and so forth, and there may be some internal ratios that might take some work to explain, but there it is, hot off the presses.
The Mars values still look a bit suspicious, but at least it proved possible to accommodate 779.2727261 and other classic candidates. Perhaps already going a bit low for the “textbook” 779.96 day value, 779.2727261 should have ended up in the A column where the smallest figures go, but it will likely be a question of what can be kept and what has to be traded away, which has always been the question with these numbers.
You’ll notice I wasn’t able to narrow it down to a single set of possibilities yet for the Mercury values. I’m tempted to suggest that Gemini the Twins is ruled by Mercury so Mercury is entitled to twin values, but that sounds a bit like a cheap excuse for not being able to work it out any further.
However, there are compelling arguments for both sets already in the form of the ratios chosen to generate the values that could make a single set of values a tough call.
Anyway, I’ve probably said quite enough about all this already and now I wanted to show that all of that ado might have actually gotten us somewhere with the subject.
Even having half of it worked out right would represent tremendous progress.
Thanks again to Stonehenge for doing so much to illuminate the “C” set of planetary values, and to Professor Thom for giving us the data we need in order to see it.
–Luke Piwalker
Luke Piwalker 