{"id":"vidhyamitra:day:-3165-09-24:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3165-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-09-24","date_display":"September 24, 3166 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3165,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565307.770833,"kali_year":-63,"ahargana":-23157.7292,"sun":{"sidereal_longitude":214.0663,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":141.3606,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.2943,"elapsed_within_tithi_degrees":11.2943},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.3606,"elapsed_within_degrees":8.0273},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.427},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3165,"month":9,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565307.770833,"ahargana":-23157.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2885,"grahas":{"sun":{"sidereal_longitude":214.0663,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":141.3606,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":0.4424},"mars":{"sidereal_longitude":143.7662,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":229.5199,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":228.0785,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":260.3273,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":291.3276,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":327.0079,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":147.0079,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3165,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565307.770833,"kali_year":-63,"ahargana":-23157.7292,"sun":{"sidereal_longitude":214.0663,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":141.3606,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.2943,"elapsed_within_tithi_degrees":11.2943},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.3606,"elapsed_within_degrees":8.0273},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.427},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.442,"elongation":72.706},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.442,"opposition_distance":107.294}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 24, 3166 BCE · Vidhyamitra","description":"Vedic pañchāṅga for September 24, 3166 BCE: Kṛṣṇa Navamī · Pūrva Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3165-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3165-09-24","sa":"https://sa.vidhyamitra.com/day/-3165-09-24","hi":"https://hi.vidhyamitra.com/day/-3165-09-24","x-default":"https://vidhyamitra.com/day/-3165-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T15:12:31.187Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-04T15:12:31.187Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}