{"id":"vidhyamitra:day:1945-12-16:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1945-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-12-16","date_display":"December 16, 1945 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":1945,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431805.770833,"kali_year":5047,"ahargana":1843340.2708,"sun":{"sidereal_longitude":240.3866,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":20.4531,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.0664,"elapsed_within_tithi_degrees":8.0664},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.4531,"elapsed_within_degrees":7.1197},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.8397},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":1945,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431805.770833,"ahargana":1843340.2708,"kali_year":5047,"ayanamsa_lahiri":23.098,"grahas":{"sun":{"sidereal_longitude":240.63169400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":18.164793999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-3.4713},"mars":{"sidereal_longitude":100.016794,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":224.53709400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":180.669894,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":230.01579400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":90.76859400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":70.9617,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.9617,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":1945,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431805.770833,"kali_year":5047,"ahargana":1843340.2708,"sun":{"sidereal_longitude":240.3866,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":20.4531,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.0664,"elapsed_within_tithi_degrees":8.0664},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.4531,"elapsed_within_degrees":7.1197},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.8397},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.471,"elongation":140.066},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.471,"opposition_distance":39.934}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":-0.543,"opposition_distance":0.404}]},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvādaśī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"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":"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":false,"valid_from":"1945-12-16T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 16, 1945 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 16, 1945 CE: Śukla Dvādaśī · Bharaṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1945-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1945-12-16","sa":"https://sa.vidhyamitra.com/day/1945-12-16","hi":"https://hi.vidhyamitra.com/day/1945-12-16","x-default":"https://vidhyamitra.com/day/1945-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:15:00.663Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:15:00.663Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}