{"id":"vidhyamitra:day:-3171-09-16:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3171-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-09-16","date_display":"September 16, 3172 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":-3171,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563108.770833,"kali_year":-69,"ahargana":-25356.7292,"sun":{"sidereal_longitude":206.512,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":331.6877,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.1758,"elapsed_within_tithi_degrees":5.1758},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.6877,"elapsed_within_degrees":11.6877},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1997},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3171,"month":9,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563108.770833,"ahargana":-25356.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3726,"grahas":{"sun":{"sidereal_longitude":206.512,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":331.6877,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.1766},"mars":{"sidereal_longitude":70.4549,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":224.3501,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":64.8863,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":163.0478,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.1143,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":83.5215,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.5215,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":-3171,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563108.770833,"kali_year":-69,"ahargana":-25356.7292,"sun":{"sidereal_longitude":206.512,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":331.6877,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.1758,"elapsed_within_tithi_degrees":5.1758},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.6877,"elapsed_within_degrees":11.6877},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1997},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.177,"elongation":125.176},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.177,"opposition_distance":54.824}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Ekādaśī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[{"id":"devotthana-ekadashi","name":"Devotthāna Ekādaśī (Prabodhinī)","name_sanskrit":"देवोत्थान एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Bhagavān Viṣṇu awakens; Cāturmāsya ends; weddings can resume.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 16, 3172 BCE · Vidhyamitra","description":"Vedic pañchāṅga for September 16, 3172 BCE: Śukla Ekādaśī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3171-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3171-09-16","sa":"https://sa.vidhyamitra.com/day/-3171-09-16","hi":"https://hi.vidhyamitra.com/day/-3171-09-16","x-default":"https://vidhyamitra.com/day/-3171-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T11:18:39.330Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T11:18:39.330Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}