{"id":"vidhyamitra:day:2185-10-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2185-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2185-10-13","date_display":"October 13, 2185 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":2185,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519400.770833,"kali_year":5287,"ahargana":1930935.2708,"sun":{"sidereal_longitude":172.57,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.4577,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.8877,"elapsed_within_tithi_degrees":11.8877},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4577,"elapsed_within_degrees":0.4577},"yoga":{"number":16,"name":"Siddhi","sum_longitude":213.0276},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2185,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519400.770833,"ahargana":1930935.2708,"kali_year":5287,"ayanamsa_lahiri":26.4482,"grahas":{"sun":{"sidereal_longitude":173.76122099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":44.20332100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.2089},"mars":{"sidereal_longitude":211.491221,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":181.725321,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":232.003021,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":162.13762099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":144.63782100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":109.757,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.757,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2185,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519400.770833,"kali_year":5287,"ahargana":1930935.2708,"sun":{"sidereal_longitude":172.57,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.4577,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.8877,"elapsed_within_tithi_degrees":11.8877},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4577,"elapsed_within_degrees":0.4577},"yoga":{"number":16,"name":"Siddhi","sum_longitude":213.0276},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.209,"elongation":132.112},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.209,"opposition_distance":47.888}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2242,"vikram_samvatsara":"Vilambī","saka_samvat":2107,"saka_samvatsara":"Pārthiva","bengali_samvat":1592,"malayalam_era":1361,"nanakshahi_year":716,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2242 Vilambī · Śaka 2107 Pārthiva"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2185-10-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 13, 2185 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 13, 2185 CE: Kṛṣṇa Caturthī · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2185-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2185-10-13","sa":"https://sa.vidhyamitra.com/day/2185-10-13","hi":"https://hi.vidhyamitra.com/day/2185-10-13","x-default":"https://vidhyamitra.com/day/2185-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T02:50:43.186Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-22T02:50:43.186Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}