{"id":"vidhyamitra:day:1821-12-14:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1821-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1821-12-14","date_display":"December 14, 1821 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":1821,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2386513.770833,"kali_year":4923,"ahargana":1798048.2708,"sun":{"sidereal_longitude":240.4747,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.5468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.0721,"elapsed_within_tithi_degrees":2.0721},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.5468,"elapsed_within_degrees":2.5468},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.0215},"karana":{"half_tithi_index":40,"name":"Gara"},"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":1821,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2386513.770833,"ahargana":1798048.2708,"kali_year":4923,"ayanamsa_lahiri":21.3658,"grahas":{"sun":{"sidereal_longitude":240.42698100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":123.82708100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":0.6414},"mars":{"sidereal_longitude":136.737081,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":222.68368099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":0.9630809999999883,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":289.560481,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":0.1645809999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":310.7498,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.7498,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1821,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2386513.770833,"kali_year":4923,"ahargana":1798048.2708,"sun":{"sidereal_longitude":240.4747,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.5468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.0721,"elapsed_within_tithi_degrees":2.0721},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.5468,"elapsed_within_degrees":2.5468},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.0215},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.641,"elongation":117.928},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.641,"opposition_distance":62.072}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1878,"vikram_samvatsara":"Jaya","saka_samvat":1743,"saka_samvatsara":"Vṛṣa","bengali_samvat":1228,"malayalam_era":997,"nanakshahi_year":352,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 1878 Jaya · Śaka 1743 Vṛṣa"},"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":"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":[]},"validity":{"eternal":false,"valid_from":"1821-12-14T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 14, 1821 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 14, 1821 CE: Kṛṣṇa Ṣaṣṭhī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1821-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1821-12-14","sa":"https://sa.vidhyamitra.com/day/1821-12-14","hi":"https://hi.vidhyamitra.com/day/1821-12-14","x-default":"https://vidhyamitra.com/day/1821-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T01:39:30.457Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T01:39:30.457Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}