{"id":"vidhyamitra:day:-3171-11-18:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3171-11-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-11-18","date_display":"November 18, 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":11,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563171.770833,"kali_year":-69,"ahargana":-25293.7292,"sun":{"sidereal_longitude":271.007,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":86.5916,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5846,"elapsed_within_tithi_degrees":7.5846},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.5916,"elapsed_within_degrees":6.5916},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.5986},"karana":{"half_tithi_index":29,"name":"Bava"},"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":11,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563171.770833,"ahargana":-25293.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3702,"grahas":{"sun":{"sidereal_longitude":271.007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":86.5916,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":0.5017},"mars":{"sidereal_longitude":55.3912,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":246.2782,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":57.1324,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":226.736,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":238.1917,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":80.1835,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.1835,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":11,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563171.770833,"kali_year":-69,"ahargana":-25293.7292,"sun":{"sidereal_longitude":271.007,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":86.5916,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5846,"elapsed_within_tithi_degrees":7.5846},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.5916,"elapsed_within_degrees":6.5916},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.5986},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.502,"elongation":175.585},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.502,"opposition_distance":4.415}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"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},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 November 18, 3172 BCE · Vidhyamitra","description":"Vedic pañchāṅga for November 18, 3172 BCE: Śukla Pūrṇimā · Punarvasu.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3171-11-18","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3171-11-18","sa":"https://sa.vidhyamitra.com/day/-3171-11-18","hi":"https://hi.vidhyamitra.com/day/-3171-11-18","x-default":"https://vidhyamitra.com/day/-3171-11-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:22:31.965Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:22:31.965Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}