{"id":"vidhyamitra:day:1865-12-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1865-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-12-13","date_display":"December 13, 1865 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":1865,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402583.770833,"kali_year":4967,"ahargana":1814118.2708,"sun":{"sidereal_longitude":239.0532,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":180.1969,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1437,"elapsed_within_tithi_degrees":1.1437},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1969,"elapsed_within_degrees":6.8636},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.2501},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1865,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402583.770833,"ahargana":1814118.2708,"kali_year":4967,"ayanamsa_lahiri":21.9804,"grahas":{"sun":{"sidereal_longitude":239.120589,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":182.028589,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":0.0716},"mars":{"sidereal_longitude":231.55108900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":259.391789,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":256.52798899999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.03008899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":197.503289,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":179.2839,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.2839,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1865,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402583.770833,"kali_year":4967,"ahargana":1814118.2708,"sun":{"sidereal_longitude":239.0532,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":180.1969,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1437,"elapsed_within_tithi_degrees":1.1437},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1969,"elapsed_within_degrees":6.8636},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.2501},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.072,"elongation":58.856},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.072,"opposition_distance":121.144}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1865-12-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 13, 1865 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 13, 1865 CE: Kṛṣṇa Ekādaśī · Citrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1865-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1865-12-13","sa":"https://sa.vidhyamitra.com/day/1865-12-13","hi":"https://hi.vidhyamitra.com/day/1865-12-13","x-default":"https://vidhyamitra.com/day/1865-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T14:47:14.793Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T14:47:14.793Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}