Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
पृथक् तत्क्रांत्यक्षभागसंस्कृतौ स्युर्नतांशकाः । तद्दिघ्नांशकृतिद्व्यूनार्द्धार्कयुता हरिः ॥ १५९ ॥
pṛthak tatkrāṃtyakṣabhāgasaṃskṛtau syurnatāṃśakāḥ | taddighnāṃśakṛtidvyūnārddhārkayutā hariḥ || 159 ||
କ୍ରାନ୍ତି-ଅଂଶ ଓ ଅକ୍ଷ-ଭାଗକୁ ପୃଥକ୍ ପୃଥକ୍ ସଂସ୍କାର କଲେ ଯେ ମାନ ମିଳେ, ସେଗୁଡ଼ିକ ‘ନତାଂଶକ’ କୁହାଯାଏ। ସେହି ମାନ ଆଧାରେ ଦ୍ୱିଗୁଣିତ ବର୍ଗାଦି କରି, ଦୁଇ କମାଇ, ଅର୍ଧ-ଆର୍କ ଯୋଗ କରି ‘ହରି’ (ଭାଜକ) ନିର୍ଣ୍ଣୟ ହୁଏ।
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.