{"id":"vidhyamitra:day:-3101-01-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3101-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-31","date_display":"January 31, 3102 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":-3101,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588447.770833,"kali_year":0,"ahargana":-17.7292,"sun":{"sidereal_longitude":344.8945,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":121.7245,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.83,"elapsed_within_tithi_degrees":4.83},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.7245,"elapsed_within_degrees":1.7245},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.619},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3101,"month":1,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588447.770833,"ahargana":-17.7292,"kali_year":0,"ayanamsa_lahiri":-47.4035,"grahas":{"sun":{"sidereal_longitude":344.8945,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":121.7245,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-3.8649},"mars":{"sidereal_longitude":351.9238,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":325.1992,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":357.1688,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":339.0321,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":350.3866,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":180.9394,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.9394,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":-3101,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588447.770833,"kali_year":0,"ahargana":-17.7292,"sun":{"sidereal_longitude":344.8945,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":121.7245,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.83,"elapsed_within_tithi_degrees":4.83},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.7245,"elapsed_within_degrees":1.7245},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.619},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.865,"elongation":136.83},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.865,"opposition_distance":43.17}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Dvādaśī · Vikram -3044 undefined · Śaka -3179 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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 31, 3102 BCE · Vidhyamitra","description":"Vedic pañchāṅga for January 31, 3102 BCE: Śukla Dvādaśī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3101-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3101-01-31","sa":"https://sa.vidhyamitra.com/day/-3101-01-31","hi":"https://hi.vidhyamitra.com/day/-3101-01-31","x-default":"https://vidhyamitra.com/day/-3101-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T10:07:18.944Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-16T10:07:18.944Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}