{"id":"vidhyamitra:day:2139-09-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2139-09-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-09-21","date_display":"September 21, 2139 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":2139,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502576.770833,"kali_year":5241,"ahargana":1914111.2708,"sun":{"sidereal_longitude":150.873,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":126.6185,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.7455,"elapsed_within_tithi_degrees":11.7455},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.6185,"elapsed_within_degrees":6.6185},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.4915},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2139,"month":9,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502576.770833,"ahargana":1914111.2708,"kali_year":5241,"ayanamsa_lahiri":25.8048,"grahas":{"sun":{"sidereal_longitude":151.94602199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":127.977822,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-1.9318},"mars":{"sidereal_longitude":106.12732199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":176.38052199999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":274.641122,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":169.10012200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":284.36192200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":281.1735,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":101.1735,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2139,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502576.770833,"kali_year":5241,"ahargana":1914111.2708,"sun":{"sidereal_longitude":150.873,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":126.6185,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.7455,"elapsed_within_tithi_degrees":11.7455},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.6185,"elapsed_within_degrees":6.6185},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.4915},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.932,"elongation":24.254},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.932,"opposition_distance":155.746}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"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},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2139-09-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 21, 2139 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 21, 2139 CE: Kṛṣṇa Trayodaśī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2139-09-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2139-09-21","sa":"https://sa.vidhyamitra.com/day/2139-09-21","hi":"https://hi.vidhyamitra.com/day/2139-09-21","x-default":"https://vidhyamitra.com/day/2139-09-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T02:54:41.125Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-18T02:54:41.125Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}