{"id":"vidhyamitra:day:-3180-01-03:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3180-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3180-01-03","date_display":"January 3, 3181 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":-3180,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559564.770833,"kali_year":-79,"ahargana":-28900.7292,"sun":{"sidereal_longitude":317.4258,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":75.1015,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.6757,"elapsed_within_tithi_degrees":9.6757},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.1015,"elapsed_within_degrees":8.4348},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.5273},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3180,"month":1,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559564.770833,"ahargana":-28900.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5082,"grahas":{"sun":{"sidereal_longitude":317.4258,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":75.1015,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":1.2541},"mars":{"sidereal_longitude":330.2718,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":292.7408,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":118.292,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":317.3929,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":119.2424,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":271.2997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.2997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":-3180,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559564.770833,"kali_year":-79,"ahargana":-28900.7292,"sun":{"sidereal_longitude":317.4258,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":75.1015,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.6757,"elapsed_within_tithi_degrees":9.6757},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.1015,"elapsed_within_degrees":8.4348},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.5273},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.254,"elongation":117.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.254,"opposition_distance":62.324}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3123,"saka_samvat":-3258,"bengali_samvat":-3773,"malayalam_era":-4004,"nanakshahi_year":-4649,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Daśamī · Vikram -3123 undefined · Śaka -3258 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 3, 3181 BCE · Vidhyamitra","description":"Vedic pañchāṅga for January 3, 3181 BCE: Śukla Daśamī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3180-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3180-01-03","sa":"https://sa.vidhyamitra.com/day/-3180-01-03","hi":"https://hi.vidhyamitra.com/day/-3180-01-03","x-default":"https://vidhyamitra.com/day/-3180-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T12:59:58.752Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-19T12:59:58.752Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}