{"id":"vidhyamitra:day:-3156-10-04:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3156-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-10-04","date_display":"October 4, 3157 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":-3156,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568605.770833,"kali_year":-54,"ahargana":-19859.7292,"sun":{"sidereal_longitude":224.9402,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.4419,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5017,"elapsed_within_tithi_degrees":7.5017},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4419,"elapsed_within_degrees":0.4419},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3821},"karana":{"half_tithi_index":29,"name":"Bava"},"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":-3156,"month":10,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568605.770833,"ahargana":-19859.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1624,"grahas":{"sun":{"sidereal_longitude":224.9402,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":40.4419,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.1769},"mars":{"sidereal_longitude":42.3117,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":207.7113,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.0917,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.7883,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":56.4813,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":152.264,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.264,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3156,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568605.770833,"kali_year":-54,"ahargana":-19859.7292,"sun":{"sidereal_longitude":224.9402,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.4419,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5017,"elapsed_within_tithi_degrees":7.5017},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4419,"elapsed_within_degrees":0.4419},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3821},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.177,"elongation":175.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.177,"opposition_distance":4.498}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5},{"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":"-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 October 4, 3157 BCE · Vidhyamitra","description":"Vedic pañchāṅga for October 4, 3157 BCE: Śukla Pūrṇimā · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3156-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3156-10-04","sa":"https://sa.vidhyamitra.com/day/-3156-10-04","hi":"https://hi.vidhyamitra.com/day/-3156-10-04","x-default":"https://vidhyamitra.com/day/-3156-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T13:38:03.849Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T13:38:03.849Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}