{"id":"vidhyamitra:day:-3137-12-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3137-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-21","date_display":"December 21, 3138 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":-3137,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575622.770833,"kali_year":-35,"ahargana":-12842.7292,"sun":{"sidereal_longitude":303.9026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":344.8724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9698,"elapsed_within_tithi_degrees":4.9698},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.8724,"elapsed_within_degrees":11.5391},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.775},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3137,"month":12,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575622.770833,"ahargana":-12842.7292,"kali_year":-35,"ayanamsa_lahiri":-47.894,"grahas":{"sun":{"sidereal_longitude":303.9026,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":344.8724,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-1.8576},"mars":{"sidereal_longitude":103.8301,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":313.7516,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":5.4207,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":303.7179,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":285.1115,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.4696,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.4696,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575622.770833,"kali_year":-35,"ahargana":-12842.7292,"sun":{"sidereal_longitude":303.9026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":344.8724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9698,"elapsed_within_tithi_degrees":4.9698},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.8724,"elapsed_within_degrees":11.5391},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.775},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.858,"elongation":40.97},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.858,"opposition_distance":139.03}},"eclipse_window_40days":[{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Caturthī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 December 21, 3138 BCE · Vidhyamitra","description":"Vedic pañchāṅga for December 21, 3138 BCE: Śukla Caturthī · Uttara Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3137-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3137-12-21","sa":"https://sa.vidhyamitra.com/day/-3137-12-21","hi":"https://hi.vidhyamitra.com/day/-3137-12-21","x-default":"https://vidhyamitra.com/day/-3137-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:26:13.051Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T12:26:13.051Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}