{"id":"vidhyamitra:day:-3208-12-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3208-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-12-21","date_display":"December 21, 3209 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":-3208,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549690.770833,"kali_year":-106,"ahargana":-38774.7292,"sun":{"sidereal_longitude":305.2934,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":293.1708,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":347.8775,"elapsed_within_tithi_degrees":11.8775},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":293.1708,"elapsed_within_degrees":13.1708},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.4642},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":-3208,"month":12,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549690.770833,"ahargana":-38774.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8858,"grahas":{"sun":{"sidereal_longitude":305.2934,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":293.1708,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-2.8118},"mars":{"sidereal_longitude":227.9437,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":316.2913,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":10.9794,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":259.1039,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":156.0201,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":74.4717,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.4717,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3208,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549690.770833,"kali_year":-106,"ahargana":-38774.7292,"sun":{"sidereal_longitude":305.2934,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":293.1708,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":347.8775,"elapsed_within_tithi_degrees":11.8775},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":293.1708,"elapsed_within_degrees":13.1708},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.4642},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.812,"elongation":12.123},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.812,"opposition_distance":167.877}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Caturdaśī · Vikram -3151 undefined · Śaka -3286 undefined"},"festivals":[{"id":"maha-shivaratri","name":"Mahā Śivarātri","name_sanskrit":"महा शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"The greatest night of Lord Śiva; cosmic dance of dissolution.","vrata":true,"primary_observance":"Strict fast + night-long vigil + 4-yāma pūjā","detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Phālguna"},"precedence":1},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"maha-shivaratri-walk","name":"Mahā Śivarātri Walk","name_sanskrit":"महा शिवरात्रि यात्रा","type":"festival","description":"Śiva-stuti through Bhāgavata + Mahābhārata Anuśāsana.","step_count":12,"url":"/walk/maha-shivaratri-walk"},"reason":"Today is Mahā Śivarātri — 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 December 21, 3209 BCE · Vidhyamitra","description":"Vedic pañchāṅga for December 21, 3209 BCE: Kṛṣṇa Caturdaśī · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3208-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3208-12-21","sa":"https://sa.vidhyamitra.com/day/-3208-12-21","hi":"https://hi.vidhyamitra.com/day/-3208-12-21","x-default":"https://vidhyamitra.com/day/-3208-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:21:26.932Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-01T13:21:26.932Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}