{"id":"vidhyamitra:day:1778-08-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1778-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1778-08-20","date_display":"August 20, 1778 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":1778,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2370692.770833,"kali_year":4880,"ahargana":1782227.2708,"sun":{"sidereal_longitude":126.1368,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":97.8273,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.6904,"elapsed_within_tithi_degrees":7.6904},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.8273,"elapsed_within_degrees":4.494},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.9641},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1778,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2370692.770833,"ahargana":1782227.2708,"kali_year":4880,"ayanamsa_lahiri":20.7607,"grahas":{"sun":{"sidereal_longitude":126.25455999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":95.91445999999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":2.1665},"mars":{"sidereal_longitude":106.68225999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":151.37966,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":136.53186,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":167.10595999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":201.81596000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":69.0225,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.0225,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":1778,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2370692.770833,"kali_year":4880,"ahargana":1782227.2708,"sun":{"sidereal_longitude":126.1368,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":97.8273,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.6904,"elapsed_within_tithi_degrees":7.6904},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.8273,"elapsed_within_degrees":4.494},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.9641},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.167,"elongation":28.31},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.167,"opposition_distance":151.69}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1835,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1700,"saka_samvatsara":"Vilambī","bengali_samvat":1185,"malayalam_era":954,"nanakshahi_year":309,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 1835 Virodhakṛt · Śaka 1700 Vilambī"},"festivals":[{"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1778-08-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 20, 1778 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 20, 1778 CE: Kṛṣṇa Trayodaśī · Puṣya.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1778-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1778-08-20","sa":"https://sa.vidhyamitra.com/day/1778-08-20","hi":"https://hi.vidhyamitra.com/day/1778-08-20","x-default":"https://vidhyamitra.com/day/1778-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T22:10:46.595Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T22:10:46.595Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}