{"id":"vidhyamitra:day:1834-12-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1834-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1834-12-15","date_display":"December 15, 1834 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":1834,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2391262.770833,"kali_year":4936,"ahargana":1802797.2708,"sun":{"sidereal_longitude":241.1276,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.09,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":165.9624,"elapsed_within_tithi_degrees":9.9624},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.09,"elapsed_within_degrees":7.09},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.2177},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1834,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2391262.770833,"ahargana":1802797.2708,"kali_year":4936,"ayanamsa_lahiri":21.5474,"grahas":{"sun":{"sidereal_longitude":241.10513500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":47.934235,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-0.9374},"mars":{"sidereal_longitude":89.20173499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":222.543135,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":44.46793500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":253.97013500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":181.31293500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":59.1249,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.1249,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1834,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2391262.770833,"kali_year":4936,"ahargana":1802797.2708,"sun":{"sidereal_longitude":241.1276,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.09,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":165.9624,"elapsed_within_tithi_degrees":9.9624},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.09,"elapsed_within_degrees":7.09},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.2177},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.937,"elongation":165.962},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.937,"opposition_distance":14.038}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":2.276},{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":-1.289,"elongation":1.553}]},"calendars":{"vikram_samvat":1891,"vikram_samvatsara":"Plavaṅga","saka_samvat":1756,"saka_samvatsara":"Jaya","bengali_samvat":1241,"malayalam_era":1010,"nanakshahi_year":365,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 1891 Plavaṅga · Śaka 1756 Jaya"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1834-12-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 15, 1834 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 15, 1834 CE: Śukla Caturdaśī · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1834-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1834-12-15","sa":"https://sa.vidhyamitra.com/day/1834-12-15","hi":"https://hi.vidhyamitra.com/day/1834-12-15","x-default":"https://vidhyamitra.com/day/1834-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T03:32:57.804Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T03:32:57.804Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}