{"id":"vidhyamitra:day:1951-12-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1951-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-12-20","date_display":"December 20, 1951 CE","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":1951,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434000.770833,"kali_year":5053,"ahargana":1845535.2708,"sun":{"sidereal_longitude":243.926,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":140.2025,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.2765,"elapsed_within_tithi_degrees":4.2765},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.2025,"elapsed_within_degrees":6.8691},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.1284},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1951,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434000.770833,"ahargana":1845535.2708,"kali_year":5053,"ayanamsa_lahiri":23.182,"grahas":{"sun":{"sidereal_longitude":244.15452900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":136.470729,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-0.4342},"mars":{"sidereal_longitude":171.83702900000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":237.95282900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":342.372429,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":201.28812900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":170.95052899999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":314.66,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.66,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1951,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434000.770833,"kali_year":5053,"ahargana":1845535.2708,"sun":{"sidereal_longitude":243.926,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":140.2025,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.2765,"elapsed_within_tithi_degrees":4.2765},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.2025,"elapsed_within_degrees":6.8691},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.1284},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.434,"elongation":103.724},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.434,"opposition_distance":76.276}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1951-12-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 20, 1951 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 20, 1951 CE: Kṛṣṇa Saptamī · Pūrva Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1951-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1951-12-20","sa":"https://sa.vidhyamitra.com/day/1951-12-20","hi":"https://hi.vidhyamitra.com/day/1951-12-20","x-default":"https://vidhyamitra.com/day/1951-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:27:32.111Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:27:32.111Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}