{"id":"vidhyamitra:day:2305-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2305-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2305-09-13","date_display":"September 13, 2305 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":2305,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2563198.770833,"kali_year":5407,"ahargana":1974733.2708,"sun":{"sidereal_longitude":140.2377,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":61.5249,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.2872,"elapsed_within_tithi_degrees":5.2872},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.5249,"elapsed_within_degrees":8.1916},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.7626},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2305,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2563198.770833,"ahargana":1974733.2708,"kali_year":5407,"ayanamsa_lahiri":28.1233,"grahas":{"sun":{"sidereal_longitude":141.69061499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":63.39701500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":4.1599},"mars":{"sidereal_longitude":147.024815,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":155.607215,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":270.60291499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":129.19761500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":163.32951500000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":309.1282,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":129.1282,"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":2305,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2563198.770833,"kali_year":5407,"ahargana":1974733.2708,"sun":{"sidereal_longitude":140.2377,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":61.5249,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.2872,"elapsed_within_tithi_degrees":5.2872},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.5249,"elapsed_within_degrees":8.1916},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.7626},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.16,"elongation":78.713},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.16,"opposition_distance":101.287}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-1.421,"elongation":0.16}]},"calendars":{"vikram_samvat":2362,"vikram_samvatsara":"Vilambī","saka_samvat":2227,"saka_samvatsara":"Pārthiva","bengali_samvat":1712,"malayalam_era":1481,"nanakshahi_year":836,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Navamī · Vikram 2362 Vilambī · Śaka 2227 Pārthiva"},"festivals":[],"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":[]},"validity":{"eternal":false,"valid_from":"2305-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 2305 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 2305 CE: Kṛṣṇa Navamī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2305-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2305-09-13","sa":"https://sa.vidhyamitra.com/day/2305-09-13","hi":"https://hi.vidhyamitra.com/day/2305-09-13","x-default":"https://vidhyamitra.com/day/2305-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:49:31.602Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-02T13:49:31.602Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}