{"id":"vidhyamitra:day:1839-08-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1839-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1839-08-20","date_display":"August 20, 1839 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":1839,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2392971.770833,"kali_year":4941,"ahargana":1804506.2708,"sun":{"sidereal_longitude":124.4255,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":245.1879,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.7624,"elapsed_within_tithi_degrees":0.7624},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.1879,"elapsed_within_degrees":5.1879},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.6134},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":1839,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2392971.770833,"ahargana":1804506.2708,"kali_year":4941,"ayanamsa_lahiri":21.6128,"grahas":{"sun":{"sidereal_longitude":124.68333799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":244.62433799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-4.47},"mars":{"sidereal_longitude":191.286338,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":148.29393800000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":176.303138,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":170.08423800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":224.14283799999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":328.5739,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":148.5739,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"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":1839,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2392971.770833,"kali_year":4941,"ahargana":1804506.2708,"sun":{"sidereal_longitude":124.4255,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":245.1879,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.7624,"elapsed_within_tithi_degrees":0.7624},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.1879,"elapsed_within_degrees":5.1879},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.6134},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.47,"elongation":120.762},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.47,"opposition_distance":59.238}},"eclipse_window_40days":[{"offset_days":5,"type":"lunar","occurs":true,"moon_latitude":-1.433,"opposition_distance":0.503},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":0.15,"elongation":2.915}]},"calendars":{"vikram_samvat":1896,"vikram_samvatsara":"Paridhāvi","saka_samvat":1761,"saka_samvatsara":"Vikāri","bengali_samvat":1246,"malayalam_era":1015,"nanakshahi_year":370,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ekādaśī · Vikram 1896 Paridhāvi · Śaka 1761 Vikāri"},"festivals":[{"id":"parsva-ekadashi","name":"Pārśva (Parivartinī) Ekādaśī","name_sanskrit":"पार्श्व एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (turning side in yoga-nidrā)","significance":"Viṣṇu turns from one side to another in yoga-nidrā (mid-Cāturmāsya).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":3},{"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":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"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":"1839-08-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 20, 1839 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 20, 1839 CE: Śukla Ekādaśī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1839-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1839-08-20","sa":"https://sa.vidhyamitra.com/day/1839-08-20","hi":"https://hi.vidhyamitra.com/day/1839-08-20","x-default":"https://vidhyamitra.com/day/1839-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T08:52:42.787Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T08:52:42.787Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}