{"id":"vidhyamitra:day:2051-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2051-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-09-13","date_display":"September 13, 2051 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":2051,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470427.770833,"kali_year":5153,"ahargana":1881962.2708,"sun":{"sidereal_longitude":144.8154,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":234.6247,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.8093,"elapsed_within_tithi_degrees":5.8093},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":234.6247,"elapsed_within_degrees":7.958},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4401},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2051,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470427.770833,"ahargana":1881962.2708,"kali_year":5153,"ayanamsa_lahiri":24.5752,"grahas":{"sun":{"sidereal_longitude":145.66145,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":231.60125000000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":3.4479},"mars":{"sidereal_longitude":144.09035,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":139.22884999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":141.86495000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":155.54465000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":289.68595000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":184.5823,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.5823,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470427.770833,"kali_year":5153,"ahargana":1881962.2708,"sun":{"sidereal_longitude":144.8154,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":234.6247,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.8093,"elapsed_within_tithi_degrees":5.8093},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":234.6247,"elapsed_within_degrees":7.958},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4401},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.448,"elongation":89.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.448,"opposition_distance":90.191}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Aṣṭamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"radhashtami","name":"Rādhāṣṭamī","name_sanskrit":"राधाष्टमी","tradition":"Vaishnava","associated_deity":"Śrī Rādhā (Krishna's hlādinī-śakti)","significance":"Manifestation of Śrī Rādhā at Barsānā — Krishna's ādi-śakti.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":2,"sources":["Padma Purāṇa","Brahma-Vaivarta Purāṇa"]},{"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2051-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 2051 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 2051 CE: Śukla Aṣṭamī · Jyeṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2051-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2051-09-13","sa":"https://sa.vidhyamitra.com/day/2051-09-13","hi":"https://hi.vidhyamitra.com/day/2051-09-13","x-default":"https://vidhyamitra.com/day/2051-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:19:10.406Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:19:10.406Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}