{"id":"vidhyamitra:day:-3145-01-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3145-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-21","date_display":"January 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572366.770833,"kali_year":-44,"ahargana":-16098.7292,"sun":{"sidereal_longitude":335.3712,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":278.2859,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.9148,"elapsed_within_tithi_degrees":2.9148},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.2859,"elapsed_within_degrees":11.6193},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6571},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572366.770833,"ahargana":-16098.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0185,"grahas":{"sun":{"sidereal_longitude":335.3712,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":278.2859,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.5601},"mars":{"sidereal_longitude":231.3207,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":336.8153,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":97.4552,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":18.074,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":193.4917,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":312.9881,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.9881,"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":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572366.770833,"kali_year":-44,"ahargana":-16098.7292,"sun":{"sidereal_longitude":335.3712,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":278.2859,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.9148,"elapsed_within_tithi_degrees":2.9148},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.2859,"elapsed_within_degrees":11.6193},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6571},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.56,"elongation":57.085},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.56,"opposition_distance":122.915}},"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 Ekādaśī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[{"id":"papamochani-ekadashi","name":"Pāpamocanī Ekādaśī","name_sanskrit":"पापमोचनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes mahā-pātakas (great sins).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Caitra"},"precedence":4},{"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":"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 21, 3146 BCE · Vidhyamitra","description":"Vedic pañchāṅga for January 21, 3146 BCE: Kṛṣṇa Ekādaśī · Uttara Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3145-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3145-01-21","sa":"https://sa.vidhyamitra.com/day/-3145-01-21","hi":"https://hi.vidhyamitra.com/day/-3145-01-21","x-default":"https://vidhyamitra.com/day/-3145-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T05:52:38.936Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-23T05:52:38.936Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}