Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
पृथक् तत्क्रांत्यक्षभागसंस्कृतौ स्युर्नतांशकाः । तद्दिघ्नांशकृतिद्व्यूनार्द्धार्कयुता हरिः ॥ १५९ ॥
pṛthak tatkrāṃtyakṣabhāgasaṃskṛtau syurnatāṃśakāḥ | taddighnāṃśakṛtidvyūnārddhārkayutā hariḥ || 159 ||
ಕ್ರಾಂತಿ-ಅಂಶ ಮತ್ತು ಅಕ್ಷ-ಭಾಗವನ್ನು ಪ್ರತ್ಯೇಕವಾಗಿ ಸಂಸ್ಕರಿಸಿದಾಗ ದೊರಕುವ ಪ್ರಮಾಣಗಳು ‘ನತಾಂಶಕ’ ಎಂದು ಕರೆಯಲ್ಪಡುತ್ತವೆ. ಆ ಮೌಲ್ಯದಿಂದ ದ್ವಿಗುಣಿತ ವರ್ಗಾದಿ ಮಾಡಿ, ಎರಡು ಕಡಿತಿಸಿ, ಅರ್ಧ-ಆರ್ಕವನ್ನು ಸೇರಿಸಿ ‘ಹರಿ’ (ಭಾಜಕ) ನಿರ್ಣಯವಾಗುತ್ತದೆ.
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.