{"id":"vidhyamitra:day:-3181-09-17:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3181-09-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-09-17","date_display":"September 17, 3182 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":-3181,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559456.770833,"kali_year":-79,"ahargana":-29008.7292,"sun":{"sidereal_longitude":207.1068,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":92.8098,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.703,"elapsed_within_tithi_degrees":5.703},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.8098,"elapsed_within_degrees":12.8098},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.9167},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3181,"month":9,"day":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559456.770833,"ahargana":-29008.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5123,"grahas":{"sun":{"sidereal_longitude":207.1068,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":92.8098,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":0.3302},"mars":{"sidereal_longitude":247.2728,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":189.2871,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":123.9401,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":251.8618,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":123.6426,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":277.0221,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":97.0221,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"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":-3181,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559456.770833,"kali_year":-79,"ahargana":-29008.7292,"sun":{"sidereal_longitude":207.1068,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":92.8098,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.703,"elapsed_within_tithi_degrees":5.703},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.8098,"elapsed_within_degrees":12.8098},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.9167},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.33,"elongation":114.297},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.33,"opposition_distance":65.703}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 17, 3182 BCE · Vidhyamitra","description":"Vedic pañchāṅga for September 17, 3182 BCE: Kṛṣṇa Ṣaṣṭhī · Punarvasu.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3181-09-17","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3181-09-17","sa":"https://sa.vidhyamitra.com/day/-3181-09-17","hi":"https://hi.vidhyamitra.com/day/-3181-09-17","x-default":"https://vidhyamitra.com/day/-3181-09-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T18:06:43.683Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T18:06:43.683Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}