{"id":"vidhyamitra:day:-3164-09-09:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3164-09-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-09-09","date_display":"September 9, 3165 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":-3164,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565658.770833,"kali_year":-62,"ahargana":-22806.7292,"sun":{"sidereal_longitude":199.6313,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.2147,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.5834,"elapsed_within_tithi_degrees":10.5834},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.2147,"elapsed_within_degrees":10.2147},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.8459},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":-3164,"month":9,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565658.770833,"ahargana":-22806.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2751,"grahas":{"sun":{"sidereal_longitude":199.6313,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":90.2147,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":2.7808},"mars":{"sidereal_longitude":252.1263,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":218.4902,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":251.2157,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":191.7297,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":302.2957,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":308.4103,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":128.4103,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":-3164,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565658.770833,"kali_year":-62,"ahargana":-22806.7292,"sun":{"sidereal_longitude":199.6313,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.2147,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.5834,"elapsed_within_tithi_degrees":10.5834},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.2147,"elapsed_within_degrees":10.2147},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.8459},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.781,"elongation":109.417},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.781,"opposition_distance":70.583}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram -3107 undefined · Śaka -3242 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 9, 3165 BCE · Vidhyamitra","description":"Vedic pañchāṅga for September 9, 3165 BCE: Kṛṣṇa Ṣaṣṭhī · Punarvasu.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3164-09-09","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3164-09-09","sa":"https://sa.vidhyamitra.com/day/-3164-09-09","hi":"https://hi.vidhyamitra.com/day/-3164-09-09","x-default":"https://vidhyamitra.com/day/-3164-09-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T16:57:08.592Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-24T16:57:08.592Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}