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The astronomy behind the Hindu luni-solar calendar
How the Hindu calendar reconciles the 29.53-day lunar month with the sidereal year: adhika masa, amanta and purnimanta months, sankranti, and Lahiri ayanamsa.
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The five limbs of the panchang: what tithi, vara, nakshatra, yoga and karana measure
What tithi, vara, nakshatra, yoga and karana actually measure in the sky, how each is computed from the Sun and Moon, and a worked example with real arithmetic.