{"id":"vidhyamitra:day:2321-08-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2321-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2321-08-20","date_display":"August 20, 2321 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":2321,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2569018.770833,"kali_year":5423,"ahargana":1980553.2708,"sun":{"sidereal_longitude":117.0367,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":61.928,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.8913,"elapsed_within_tithi_degrees":4.8913},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.928,"elapsed_within_degrees":8.5947},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.9647},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2321,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2569018.770833,"ahargana":1980553.2708,"kali_year":5423,"ayanamsa_lahiri":28.3459,"grahas":{"sun":{"sidereal_longitude":118.42894899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":62.130548999999974,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.9414},"mars":{"sidereal_longitude":17.146749,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":95.51524899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":61.182749,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":100.45864899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":352.339249,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":0.7566,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.7566,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2321,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2569018.770833,"kali_year":5423,"ahargana":1980553.2708,"sun":{"sidereal_longitude":117.0367,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":61.928,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.8913,"elapsed_within_tithi_degrees":4.8913},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.928,"elapsed_within_degrees":8.5947},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.9647},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.941,"elongation":55.109},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.941,"opposition_distance":124.891}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2378,"vikram_samvatsara":"Ānanda","saka_samvat":2243,"saka_samvatsara":"Plava","bengali_samvat":1728,"malayalam_era":1497,"nanakshahi_year":852,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ekādaśī · Vikram 2378 Ānanda · Śaka 2243 Plava"},"festivals":[{"id":"aja-ekadashi","name":"Ajā Ekādaśī","name_sanskrit":"अजा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"King Hariścandra observed this; restored him to throne and family.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Śrāvaṇa"},"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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2321-08-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 20, 2321 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 20, 2321 CE: Kṛṣṇa Ekādaśī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2321-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2321-08-20","sa":"https://sa.vidhyamitra.com/day/2321-08-20","hi":"https://hi.vidhyamitra.com/day/2321-08-20","x-default":"https://vidhyamitra.com/day/2321-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T04:16:13.855Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-04T04:16:13.855Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}