{"id":"vidhyamitra:day:1938-12-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1938-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1938-12-20","date_display":"December 20, 1938 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":1938,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429252.770833,"kali_year":5040,"ahargana":1840787.2708,"sun":{"sidereal_longitude":244.2996,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.4736,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.174,"elapsed_within_tithi_degrees":5.174},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.4736,"elapsed_within_degrees":12.1403},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.7732},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1938,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429252.770833,"ahargana":1840787.2708,"kali_year":5040,"ayanamsa_lahiri":23.0004,"grahas":{"sun":{"sidereal_longitude":244.49433699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":225.39653699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":1.4816},"mars":{"sidereal_longitude":192.88573699999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":232.924937,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":305.922637,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":208.98633700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":348.690937,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":206.2319,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":26.2319,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1938,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429252.770833,"kali_year":5040,"ahargana":1840787.2708,"sun":{"sidereal_longitude":244.2996,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.4736,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.174,"elapsed_within_tithi_degrees":5.174},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.4736,"elapsed_within_degrees":12.1403},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.7732},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.482,"elongation":18.826},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.482,"opposition_distance":161.174}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1995,"vikram_samvatsara":"Khara","saka_samvat":1860,"saka_samvatsara":"Bahudhānya","bengali_samvat":1345,"malayalam_era":1114,"nanakshahi_year":469,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturdaśī · Vikram 1995 Khara · Śaka 1860 Bahudhānya"},"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":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1938-12-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 20, 1938 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 20, 1938 CE: Kṛṣṇa Caturdaśī · Anurādhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1938-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1938-12-20","sa":"https://sa.vidhyamitra.com/day/1938-12-20","hi":"https://hi.vidhyamitra.com/day/1938-12-20","x-default":"https://vidhyamitra.com/day/1938-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:30:43.871Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T12:30:43.871Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}