{"id":"vidhyamitra:day:1805-01-02:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1805-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1805-01-02","date_display":"January 2, 1805 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":1805,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2380323.770833,"kali_year":4906,"ahargana":1791858.2708,"sun":{"sidereal_longitude":260.4093,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":272.2793,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.87,"elapsed_within_tithi_degrees":11.87},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.2793,"elapsed_within_degrees":5.6127},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.6886},"karana":{"half_tithi_index":1,"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":1805,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2380323.770833,"ahargana":1791858.2708,"kali_year":4906,"ayanamsa_lahiri":21.1291,"grahas":{"sun":{"sidereal_longitude":260.152685,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":271.288185,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-0.5047},"mars":{"sidereal_longitude":119.596385,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":281.669885,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":219.60558500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":227.578985,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":176.40888500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":278.7258,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":98.7258,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1805,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2380323.770833,"kali_year":4906,"ahargana":1791858.2708,"sun":{"sidereal_longitude":260.4093,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":272.2793,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.87,"elapsed_within_tithi_degrees":11.87},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.2793,"elapsed_within_degrees":5.6127},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.6886},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.505,"elongation":11.87},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.505,"opposition_distance":168.13}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":-1.483,"elongation":0.14},{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":0.568,"opposition_distance":2.986}]},"calendars":{"vikram_samvat":1862,"vikram_samvatsara":"Bahudhānya","saka_samvat":1727,"saka_samvatsara":"Krodhana","bengali_samvat":1212,"malayalam_era":981,"nanakshahi_year":336,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pratipada · Vikram 1862 Bahudhānya · Śaka 1727 Krodhana"},"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":"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":"1805-01-02T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 2, 1805 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 2, 1805 CE: Śukla Pratipada · Uttara Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1805-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1805-01-02","sa":"https://sa.vidhyamitra.com/day/1805-01-02","hi":"https://hi.vidhyamitra.com/day/1805-01-02","x-default":"https://vidhyamitra.com/day/1805-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T19:12:15.209Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-22T19:12:15.209Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}