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You can’t actually detect those without precise modern measurements since axial tilt effects swamp weather and insolation differences are tiny due to low orbit eccentricity
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They’re not actually. The Hindu calendar is lunisolar and it’s horrible. An entire breed of priests collects rents simply calculating dates. The months are strict lunar 28 days so in some years you add an entire extra month. No layperson plebe could do the calculations.
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What’s genuinely eerie is the apparent disc size size being nearly exactly the same which allows for perfect total solar eclipses. A little smaller you’d only get annular eclipses which suck. A little larger and you wouldn’t see the dramatic corona.
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it is interesting when you view something like a calendar through the lens of technology (calendars in general) and design/standardization (particular calendars and their promulgation) and the societal outcomes