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The Lunar Day — Foundation of the Panchang
A Tithi is defined as the time it takes for the Moon to gain 12° of longitude over the Sun. Since the Moon moves approximately 13.2° per day and the Sun about 1° per day, the relative angular gain is about 12° per day — hence roughly one Tithi per day. However, because the Moon's orbital speed varies (perigee vs. apogee), a Tithi can last between 19 to 26 hours.
Formula: Tithi = ⌊(Moon_longitude - Sun_longitude) / 12°⌋ + 1
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The 11th tithi of each paksha, considered highly sacred. Fasting on Ekadashi is one of the most observed vratas.
The 15th tithi of Shukla Paksha — Full Moon. The Moon and Sun are in direct opposition (180° apart). Auspicious for rituals, meditation, and charity.
The 30th tithi (15th of Krishna Paksha) — New Moon. The Moon and Sun are in conjunction (0° apart). Associated with ancestral rites (Pitru Tarpan).