{"id":"vidhyamitra:day:1873-12-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1873-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1873-12-20","date_display":"December 20, 1873 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":1873,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405512.770833,"kali_year":4975,"ahargana":1817047.2708,"sun":{"sidereal_longitude":246.1683,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":248.3524,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.1841,"elapsed_within_tithi_degrees":2.1841},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.3524,"elapsed_within_degrees":8.3524},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.5207},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1873,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405512.770833,"ahargana":1817047.2708,"kali_year":4975,"ayanamsa_lahiri":22.0924,"grahas":{"sun":{"sidereal_longitude":246.19468000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":249.54747999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-3.139},"mars":{"sidereal_longitude":300.33007999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":226.16057999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":159.69838000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":232.25207999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":279.93647999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":24.0913,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.0913,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"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":1873,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405512.770833,"kali_year":4975,"ahargana":1817047.2708,"sun":{"sidereal_longitude":246.1683,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":248.3524,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.1841,"elapsed_within_tithi_degrees":2.1841},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.3524,"elapsed_within_degrees":8.3524},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.5207},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.139,"elongation":2.184},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.139,"opposition_distance":177.816}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1930,"vikram_samvatsara":"Vyaya","saka_samvat":1795,"saka_samvatsara":"Śrīmukha","bengali_samvat":1280,"malayalam_era":1049,"nanakshahi_year":404,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pratipada · Vikram 1930 Vyaya · Śaka 1795 Śrīmukha"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1873-12-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 20, 1873 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 20, 1873 CE: Śukla Pratipada · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1873-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1873-12-20","sa":"https://sa.vidhyamitra.com/day/1873-12-20","hi":"https://hi.vidhyamitra.com/day/1873-12-20","x-default":"https://vidhyamitra.com/day/1873-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T00:28:25.312Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T00:28:25.312Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}