{"id":"vidhyamitra:day:-3145-01-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3145-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-20","date_display":"January 20, 3146 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":-3145,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572365.770833,"kali_year":-44,"ahargana":-16099.7292,"sun":{"sidereal_longitude":334.3769,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":263.8412,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4642,"elapsed_within_tithi_degrees":1.4642},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8412,"elapsed_within_degrees":10.5078},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.2181},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3145,"month":1,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572365.770833,"ahargana":-16099.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0186,"grahas":{"sun":{"sidereal_longitude":334.3769,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":263.8412,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-3.405},"mars":{"sidereal_longitude":230.8737,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":334.9862,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":97.4862,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":17.3932,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":193.5416,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":313.0411,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.0411,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3145,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572365.770833,"kali_year":-44,"ahargana":-16099.7292,"sun":{"sidereal_longitude":334.3769,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":263.8412,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4642,"elapsed_within_tithi_degrees":1.4642},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8412,"elapsed_within_degrees":10.5078},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.2181},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.405,"elongation":70.536},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.405,"opposition_distance":109.464}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Daśamī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 20, 3146 BCE · Vidhyamitra","description":"Vedic pañchāṅga for January 20, 3146 BCE: Kṛṣṇa Daśamī · Pūrva Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3145-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3145-01-20","sa":"https://sa.vidhyamitra.com/day/-3145-01-20","hi":"https://hi.vidhyamitra.com/day/-3145-01-20","x-default":"https://vidhyamitra.com/day/-3145-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T06:33:13.751Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-23T06:33:13.751Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}