{"id":"vidhyamitra:day:-0478-08-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-0478-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0478-08-21","date_display":"August 21, 479 BCE","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":-478,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1546700.770833,"kali_year":2624,"ahargana":958235.2708,"sun":{"sidereal_longitude":156.8934,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.6722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7788,"elapsed_within_tithi_degrees":8.7788},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6722,"elapsed_within_degrees":9.6722},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.5657},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":-478,"month":8,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1546700.770833,"ahargana":958235.2708,"kali_year":2624,"ayanamsa_lahiri":-10.7539,"grahas":{"sun":{"sidereal_longitude":156.8934,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":129.6722,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.7941},"mars":{"sidereal_longitude":242.1335,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":184.1504,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":71.8159,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":173.9716,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":356.1683,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":168.084,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.084,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":-478,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1546700.770833,"kali_year":2624,"ahargana":958235.2708,"sun":{"sidereal_longitude":156.8934,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.6722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7788,"elapsed_within_tithi_degrees":8.7788},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6722,"elapsed_within_degrees":9.6722},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.5657},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.794,"elongation":27.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.794,"opposition_distance":152.779}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.804,"elongation":1.172},{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":-0.691,"opposition_distance":1.359}]},"calendars":{"vikram_samvat":-421,"saka_samvat":-556,"bengali_samvat":-1071,"malayalam_era":-1302,"nanakshahi_year":-1947,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram -421 undefined · Śaka -556 undefined"},"festivals":[{"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":"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":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 21, 479 BCE · Vidhyamitra","description":"Vedic pañchāṅga for August 21, 479 BCE: Kṛṣṇa Trayodaśī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-0478-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-0478-08-21","sa":"https://sa.vidhyamitra.com/day/-0478-08-21","hi":"https://hi.vidhyamitra.com/day/-0478-08-21","x-default":"https://vidhyamitra.com/day/-0478-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T06:58:40.156Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-04T06:58:40.156Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}