{"id":"vidhyamitra:day:1834-12-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1834-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1834-12-13","date_display":"December 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2391260.770833,"kali_year":4936,"ahargana":1802795.2708,"sun":{"sidereal_longitude":239.0752,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":22.1735,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.0983,"elapsed_within_tithi_degrees":11.0983},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.1735,"elapsed_within_degrees":8.8402},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.2487},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":1834,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2391260.770833,"ahargana":1802795.2708,"kali_year":4936,"ayanamsa_lahiri":21.5474,"grahas":{"sun":{"sidereal_longitude":239.06991100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":23.712810999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.71},"mars":{"sidereal_longitude":89.75831099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":220.244911,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":44.71681100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":254.97191099999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":181.15171099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":59.2309,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.2309,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2391260.770833,"kali_year":4936,"ahargana":1802795.2708,"sun":{"sidereal_longitude":239.0752,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":22.1735,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.0983,"elapsed_within_tithi_degrees":11.0983},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.1735,"elapsed_within_degrees":8.8402},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.2487},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.71,"elongation":143.098},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.71,"opposition_distance":36.902}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":2.276},{"offset_days":17,"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":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 1891 Plavaṅga · Śaka 1756 Jaya"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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":"1834-12-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 13, 1834 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 13, 1834 CE: Śukla Dvādaśī · Bharaṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1834-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1834-12-13","sa":"https://sa.vidhyamitra.com/day/1834-12-13","hi":"https://hi.vidhyamitra.com/day/1834-12-13","x-default":"https://vidhyamitra.com/day/1834-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T13:38:15.652Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T13:38:15.652Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}