{"id":"vidhyamitra:day:1863-12-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1863-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1863-12-15","date_display":"December 15, 1863 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":1863,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401854.770833,"kali_year":4965,"ahargana":1813389.2708,"sun":{"sidereal_longitude":240.6104,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":295.4533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.8429,"elapsed_within_tithi_degrees":6.8429},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.4533,"elapsed_within_degrees":2.1199},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.0637},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1863,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2401854.770833,"ahargana":1813389.2708,"kali_year":4965,"ayanamsa_lahiri":21.9525,"grahas":{"sun":{"sidereal_longitude":240.66024199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":298.43724199999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":4.3939},"mars":{"sidereal_longitude":218.59144200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":249.86354200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":207.401742,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":195.81194200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":175.45684200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":217.9098,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.9098,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1863,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401854.770833,"kali_year":4965,"ahargana":1813389.2708,"sun":{"sidereal_longitude":240.6104,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":295.4533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.8429,"elapsed_within_tithi_degrees":6.8429},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.4533,"elapsed_within_degrees":2.1199},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.0637},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.394,"elongation":54.843},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.394,"opposition_distance":125.157}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":0.091,"opposition_distance":2.338}]},"calendars":{"vikram_samvat":1920,"vikram_samvatsara":"Dhātṛ","saka_samvat":1785,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1270,"malayalam_era":1039,"nanakshahi_year":394,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 1920 Dhātṛ · Śaka 1785 Rudhirodgāri"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1863-12-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 15, 1863 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 15, 1863 CE: Śukla Pañcamī · Dhaniṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1863-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1863-12-15","sa":"https://sa.vidhyamitra.com/day/1863-12-15","hi":"https://hi.vidhyamitra.com/day/1863-12-15","x-default":"https://vidhyamitra.com/day/1863-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T02:58:58.782Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-18T02:58:58.782Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}