{"id":"vidhyamitra:day:1949-12-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1949-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1949-12-15","date_display":"December 15, 1949 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":1949,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433265.770833,"kali_year":5051,"ahargana":1844800.2708,"sun":{"sidereal_longitude":239.3245,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":177.4615,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.137,"elapsed_within_tithi_degrees":10.137},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.4615,"elapsed_within_degrees":4.1282},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.786},"karana":{"half_tithi_index":49,"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":1949,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433265.770833,"ahargana":1844800.2708,"kali_year":5051,"ayanamsa_lahiri":23.1539,"grahas":{"sun":{"sidereal_longitude":239.58751099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":175.322311,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-0.3024},"mars":{"sidereal_longitude":152.80251099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":253.01421099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":280.7733109999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":284.751811,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":146.36101099999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":353.6039,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":173.6039,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1949,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433265.770833,"kali_year":5051,"ahargana":1844800.2708,"sun":{"sidereal_longitude":239.3245,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":177.4615,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.137,"elapsed_within_tithi_degrees":10.137},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.4615,"elapsed_within_degrees":4.1282},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.786},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.302,"elongation":61.863},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.302,"opposition_distance":118.137}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2006,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1871,"saka_samvatsara":"Virodhi","bengali_samvat":1356,"malayalam_era":1125,"nanakshahi_year":480,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Daśamī · Vikram 2006 Śubhakṛt · Śaka 1871 Virodhi"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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":"1949-12-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 15, 1949 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 15, 1949 CE: Kṛṣṇa Daśamī · Citrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1949-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1949-12-15","sa":"https://sa.vidhyamitra.com/day/1949-12-15","hi":"https://hi.vidhyamitra.com/day/1949-12-15","x-default":"https://vidhyamitra.com/day/1949-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:21:59.246Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:21:59.246Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}