{"id":"vidhyamitra:day:2057-09-19:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2057-09-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-09-19","date_display":"September 19, 2057 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":2057,"month":9,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472625.770833,"kali_year":5159,"ahargana":1884160.2708,"sun":{"sidereal_longitude":151.0854,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":42.5801,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.4947,"elapsed_within_tithi_degrees":11.4947},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.5801,"elapsed_within_degrees":2.5801},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.6656},"karana":{"half_tithi_index":41,"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":2057,"month":9,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472625.770833,"ahargana":1884160.2708,"kali_year":5159,"ayanamsa_lahiri":24.6593,"grahas":{"sun":{"sidereal_longitude":151.95947,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":42.24547000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-1.9386},"mars":{"sidereal_longitude":185.59956999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":142.50637,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":315.21357,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":126.54307,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":9.843869999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":68.1216,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.1216,"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":2057,"month":9,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472625.770833,"kali_year":5159,"ahargana":1884160.2708,"sun":{"sidereal_longitude":151.0854,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":42.5801,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.4947,"elapsed_within_tithi_degrees":11.4947},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.5801,"elapsed_within_degrees":2.5801},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.6656},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.939,"elongation":108.505},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.939,"opposition_distance":71.495}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ṣaṣṭhī · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2057-09-19T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 19, 2057 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 19, 2057 CE: Kṛṣṇa Ṣaṣṭhī · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2057-09-19","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2057-09-19","sa":"https://sa.vidhyamitra.com/day/2057-09-19","hi":"https://hi.vidhyamitra.com/day/2057-09-19","x-default":"https://vidhyamitra.com/day/2057-09-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:40:27.532Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:40:27.532Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}