Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
पृथक् तत्क्रांत्यक्षभागसंस्कृतौ स्युर्नतांशकाः । तद्दिघ्नांशकृतिद्व्यूनार्द्धार्कयुता हरिः ॥ १५९ ॥
pṛthak tatkrāṃtyakṣabhāgasaṃskṛtau syurnatāṃśakāḥ | taddighnāṃśakṛtidvyūnārddhārkayutā hariḥ || 159 ||
Apabila krānti (kecondongan) Matahari dan bahagian akṣa (lintang bumi) diproses secara berasingan, nilai yang terhasil dinamakan “natāṃśaka”, iaitu bahagian kecondongan. Pembahagi “harī” diperoleh dengan mengambil dua kali kuasa dua darjah yang didarab dengan nilai itu, menolak dua, lalu menambah setengah ukuran suria yang digunakan dalam kiraan.
Sanatkumara (teaching technical computation to Narada in the Moksha Dharma section, with Vedanga-style astronomical rules)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: adbhuta
It shows that Moksha-oriented life in the Purana also relies on precise Vedanga knowledge—especially Jyotisha—for correct timing of dharma, vrata, and sacred observances, supporting disciplined practice.
Indirectly: accurate astronomical computation supports proper observance of devotional vows and holy days; correct timing strengthens niyama (religious discipline) that sustains Vishnu-bhakti in practice.
Jyotisha Vedanga—procedural calculation involving krānti (declination), akṣa (latitude), natāṃśa components, and a defined divisor (harī) used in computational steps.