{"id":"vidhyamitra:day:1829-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1829-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1829-09-13","date_display":"September 13, 1829 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":1829,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2389343.770833,"kali_year":4931,"ahargana":1800878.2708,"sun":{"sidereal_longitude":148.1613,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":324.8603,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.699,"elapsed_within_tithi_degrees":8.699},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.8603,"elapsed_within_degrees":4.8603},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.0216},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1829,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2389343.770833,"ahargana":1800878.2708,"kali_year":4931,"ayanamsa_lahiri":21.474,"grahas":{"sun":{"sidereal_longitude":148.476855,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":325.139955,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":1.2348},"mars":{"sidereal_longitude":142.56775500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":168.87915499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":229.27695500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":181.48115499999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":113.22245499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":160.8028,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":340.8028,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1829,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2389343.770833,"kali_year":4931,"ahargana":1800878.2708,"sun":{"sidereal_longitude":148.1613,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":324.8603,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.699,"elapsed_within_tithi_degrees":8.699},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.8603,"elapsed_within_degrees":4.8603},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.0216},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.235,"elongation":176.699},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.235,"opposition_distance":3.301}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":0.242,"elongation":0.269}]},"calendars":{"vikram_samvat":1886,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1751,"saka_samvatsara":"Virodhi","bengali_samvat":1236,"malayalam_era":1005,"nanakshahi_year":360,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pūrṇimā · Vikram 1886 Śubhakṛt · Śaka 1751 Virodhi"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1829-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 1829 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 1829 CE: Śukla Pūrṇimā · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1829-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1829-09-13","sa":"https://sa.vidhyamitra.com/day/1829-09-13","hi":"https://hi.vidhyamitra.com/day/1829-09-13","x-default":"https://vidhyamitra.com/day/1829-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T01:01:00.933Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T01:01:00.933Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}