Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
क्रांत्योः समत्वे पातोऽथ प्रक्षिप्तांशोनिते विधौ । हीनेऽर्द्वरात्रघिकाघतो भावी तात्कालिकेऽधिका ॥ १८२ ॥
krāṃtyoḥ samatve pāto'tha prakṣiptāṃśonite vidhau | hīne'rdvarātraghikāghato bhāvī tātkālike'dhikā || 182 ||
Wenn die beiden Deklinationen gleich werden, dann ist jener Punkt ein pātā (Fallpunkt/Schnittpunkt). In dem Verfahren mit den korrigierten Graden gilt: Ist der berechnete Wert zu gering, füge man eine halbe Nacht und eine ghaṭikā hinzu; im vorhersagenden (zukünftigen) Fall ist er größer, im unmittelbaren (gegenwärtigen) Fall hingegen eine übermäßige Korrektur.
Sanatkumara (teaching Narada)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: none
It underscores that accurate sacred time (kāla) calculation is part of dharma: correct calendrical and astronomical reckoning supports proper vrata, worship timings, and disciplined practice that ultimately aids moksha-oriented living.
Indirectly: by teaching precise time corrections (ghaṭikā/half-night adjustments), it safeguards the proper observance of devotional rites and vows performed at the right muhūrta—an essential support for steady Vishnu-bhakti in practice.
Vedāṅga Jyotiṣa: identifying pātā via equality of declinations and applying computational corrections using prakṣipta aṃśa, including specific time adjustments measured in ghaṭikā and half-night.