{"id":"vidhyamitra:day:2113-09-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2113-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-09-15","date_display":"September 15, 2113 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":2113,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493074.770833,"kali_year":5215,"ahargana":1904609.2708,"sun":{"sidereal_longitude":145.7445,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":203.2007,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.4562,"elapsed_within_tithi_degrees":9.4562},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.2007,"elapsed_within_degrees":3.2007},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":348.9452},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2113,"month":9,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493074.770833,"ahargana":1904609.2708,"kali_year":5215,"ayanamsa_lahiri":25.4414,"grahas":{"sun":{"sidereal_longitude":146.74406799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":200.32156799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":2.9762},"mars":{"sidereal_longitude":137.30356799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":171.79226800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":206.28386799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":123.38936799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":329.34926799999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":64.6352,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":244.6352,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"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":2113,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493074.770833,"kali_year":5215,"ahargana":1904609.2708,"sun":{"sidereal_longitude":145.7445,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":203.2007,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.4562,"elapsed_within_tithi_degrees":9.4562},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.2007,"elapsed_within_degrees":3.2007},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":348.9452},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.976,"elongation":57.456},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.976,"opposition_distance":122.544}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pañcamī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"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}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2113-09-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 15, 2113 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 15, 2113 CE: Śukla Pañcamī · Viśākhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2113-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2113-09-15","sa":"https://sa.vidhyamitra.com/day/2113-09-15","hi":"https://hi.vidhyamitra.com/day/2113-09-15","x-default":"https://vidhyamitra.com/day/2113-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T09:30:11.523Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-16T09:30:11.523Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}