{"id":"vidhyamitra:day:-0468-03-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-0468-03-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-21","date_display":"March 21, 469 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":-468,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550200.770833,"kali_year":2634,"ahargana":961735.2708,"sun":{"sidereal_longitude":11.001,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":167.8429,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.8418,"elapsed_within_tithi_degrees":0.8418},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.8429,"elapsed_within_degrees":7.8429},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.8439},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-468,"month":3,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550200.770833,"ahargana":961735.2708,"kali_year":2634,"ayanamsa_lahiri":-10.62,"grahas":{"sun":{"sidereal_longitude":11.001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":167.8429,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":-0.4079},"mars":{"sidereal_longitude":341.5212,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":352.8265,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":357.9373,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":22.1295,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":120.9489,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":342.6372,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.6372,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-468,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550200.770833,"kali_year":2634,"ahargana":961735.2708,"sun":{"sidereal_longitude":11.001,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":167.8429,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.8418,"elapsed_within_tithi_degrees":0.8418},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.8429,"elapsed_within_degrees":7.8429},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.8439},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.408,"elongation":156.842},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.408,"opposition_distance":23.158}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":1.203,"elongation":0.524}]},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturdaśī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated 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 March 21, 469 BCE · Vidhyamitra","description":"Vedic pañchāṅga for March 21, 469 BCE: Śukla Caturdaśī · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-0468-03-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-0468-03-21","sa":"https://sa.vidhyamitra.com/day/-0468-03-21","hi":"https://hi.vidhyamitra.com/day/-0468-03-21","x-default":"https://vidhyamitra.com/day/-0468-03-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T15:01:02.488Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T15:01:02.488Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}