{"id":"vidhyamitra:day:2119-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2119-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2119-09-13","date_display":"September 13, 2119 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":2119,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495263.770833,"kali_year":5221,"ahargana":1906798.2708,"sun":{"sidereal_longitude":143.2679,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":244.7864,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.5185,"elapsed_within_tithi_degrees":5.5185},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.7864,"elapsed_within_degrees":4.7864},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.0543},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2119,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495263.770833,"ahargana":1906798.2708,"kali_year":5221,"ayanamsa_lahiri":25.5251,"grahas":{"sun":{"sidereal_longitude":144.275532,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":244.86083199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-4.0391},"mars":{"sidereal_longitude":172.11303199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":165.30293200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":57.311631999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":97.23593199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":52.899832,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":308.6515,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":128.6515,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2119,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495263.770833,"kali_year":5221,"ahargana":1906798.2708,"sun":{"sidereal_longitude":143.2679,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":244.7864,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.5185,"elapsed_within_tithi_degrees":5.5185},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.7864,"elapsed_within_degrees":4.7864},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.0543},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.039,"elongation":101.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.039,"opposition_distance":78.482}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":-0.405,"elongation":1.292}]},"calendars":{"vikram_samvat":2176,"vikram_samvatsara":"Nandana","saka_samvat":2041,"saka_samvatsara":"Pramāthi","bengali_samvat":1526,"malayalam_era":1295,"nanakshahi_year":650,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Navamī · Vikram 2176 Nandana · Śaka 2041 Pramāthi"},"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":"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2119-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 2119 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 2119 CE: Śukla Navamī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2119-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2119-09-13","sa":"https://sa.vidhyamitra.com/day/2119-09-13","hi":"https://hi.vidhyamitra.com/day/2119-09-13","x-default":"https://vidhyamitra.com/day/2119-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T14:18:59.198Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-16T14:18:59.198Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}