Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
पृथक् तत्क्रांत्यक्षभागसंस्कृतौ स्युर्नतांशकाः । तद्दिघ्नांशकृतिद्व्यूनार्द्धार्कयुता हरिः ॥ १५९ ॥
pṛthak tatkrāṃtyakṣabhāgasaṃskṛtau syurnatāṃśakāḥ | taddighnāṃśakṛtidvyūnārddhārkayutā hariḥ || 159 ||
太陽のkrānti(赤緯の傾き)とakṣa(地の緯度)の分をそれぞれ別に処理して得られる量を「ナターンシャカ(natāṃśaka)」、すなわち傾きの分量という。除数「ハリー(harī)」は、度数の二乗にその値を掛けて二倍し、二を引き、さらに計算に用いる太陽量の半分を加えて定める。
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.