{"id":"vidhyamitra:day:1950-12-22:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1950-12-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-12-22","date_display":"December 22, 1950 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":1950,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433637.770833,"kali_year":5052,"ahargana":1845172.2708,"sun":{"sidereal_longitude":246.2461,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":39.097,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.8509,"elapsed_within_tithi_degrees":8.8509},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.097,"elapsed_within_degrees":12.4303},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.3431},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1950,"month":12,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433637.770833,"ahargana":1845172.2708,"kali_year":5052,"ayanamsa_lahiri":23.1681,"grahas":{"sun":{"sidereal_longitude":246.45259800000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":40.358698000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.0844},"mars":{"sidereal_longitude":282.73129800000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":265.602798,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":310.621798,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":256.397098,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":159.07439799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":333.8935,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.8935,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":1950,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433637.770833,"kali_year":5052,"ahargana":1845172.2708,"sun":{"sidereal_longitude":246.2461,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":39.097,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.8509,"elapsed_within_tithi_degrees":8.8509},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.097,"elapsed_within_degrees":12.4303},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.3431},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.084,"elongation":152.851},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.084,"opposition_distance":27.149}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1950-12-22T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 22, 1950 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 22, 1950 CE: Śukla Trayodaśī · Kṛttikā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1950-12-22","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1950-12-22","sa":"https://sa.vidhyamitra.com/day/1950-12-22","hi":"https://hi.vidhyamitra.com/day/1950-12-22","x-default":"https://vidhyamitra.com/day/1950-12-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:28:32.443Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:28:32.443Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}