Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
मंदस्फुटकृता भुक्तिः शीघ्नोच्चभुक्तितः । तच्छेषं विवरेणाथ हन्यात्रिज्यांककर्णयोः ॥ ११७ ॥
maṃdasphuṭakṛtā bhuktiḥ śīghnoccabhuktitaḥ | taccheṣaṃ vivareṇātha hanyātrijyāṃkakarṇayoḥ || 117 ||
മന്ദ-സ്ഫുടം മൂലം ഉണ്ടാകുന്ന ഭുക്തി, ശീഘ്ര-ഉച്ച ഭുക്തിയിൽ നിന്നാണ് ലഭിക്കുന്നത്. തുടർന്ന് ശേഷിക്കുന്ന വ്യത്യാസത്തെ ‘വിവര’മായി എടുത്ത് ത്രിജ്യ, അങ്ക, കർണ്ണ മൂല്യങ്ങൾ തിരുത്തണം.
Sanatkumara (in instruction to Narada on technical computation)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: adbhuta
It emphasizes that correct observance of dharma (including vratas and sacred timings) depends on precise knowledge; the Purana supports moksha-dharma by grounding practice in reliable jyotiṣa computation.
Indirectly: by teaching how to compute true motion and corrections, it safeguards proper determination of auspicious times for Vishnu-bhakti practices (such as vrata observance and worship), making devotion disciplined and scripturally aligned.
Vedāṅga Jyotiṣa and gaṇita: using manda (mean) and śīghra/ucca (anomalistic) components to derive sphuṭa (corrected) values, and applying the remainder/difference to adjust trijyā (radius) and karṇa (chord/diagonal) calculations.