{"id":"vidhyamitra:city-day:ayodhya:1745-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1745-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1745-09-13","date_display":"September 13, 1745 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":1745,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2358663.770833,"kali_year":4847,"ahargana":1770198.2708,"sun":{"sidereal_longitude":149.8503,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":355.4278,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.5776,"elapsed_within_tithi_degrees":1.5776},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.4278,"elapsed_within_degrees":8.7612},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.2781},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1745,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2358663.770833,"ahargana":1770198.2708,"kali_year":4847,"ayanamsa_lahiri":20.3006,"grahas":{"sun":{"sidereal_longitude":149.966156,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":353.004156,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":0.7072},"mars":{"sidereal_longitude":215.28535599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":179.639856,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":205.04235600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":109.182456,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.600056,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":346.3768,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":166.3768,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1745,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2358663.770833,"kali_year":4847,"ahargana":1770198.2708,"sun":{"sidereal_longitude":149.8503,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":355.4278,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.5776,"elapsed_within_tithi_degrees":1.5776},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.4278,"elapsed_within_degrees":8.7612},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.2781},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.707,"elongation":154.422},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.707,"opposition_distance":25.578}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-1.254,"opposition_distance":2.38}]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:45","sunsetLocal":"18:08","solarNoonLocal":"11:56","dayLengthHours":12.384930191476236,"dayLengthDisplay":"12 Hours 23 Mins 06 Secs","nightLengthDisplay":"11 Hours 36 Mins 54 Secs","moonriseLocal":"19:15","moonsetLocal":"07:42","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"08:51","startHours":7.296153329365311,"endHours":8.844269603299841,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:24","end":"11:56","startHours":10.392385877234371,"endHours":11.9405021511689,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"15:02","startHours":13.488618425103429,"endHours":15.03673469903796,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:03","startHours":8.63785410010857,"endHours":9.050685106491112,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:36","startHours":6.264075813408958,"endHours":6.594340618514991,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:21","startHours":11.527671144786359,"endHours":12.353333157551441,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:55","startHours":4.0967130299006165,"endHours":4.922375042665699,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:45","startHours":4.7159595394744285,"endHours":5.748037055430782,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:50","startHours":14.004657183081607,"endHours":14.83031919584669,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93296724690702,"endHours":18.332967246907018,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:39","startHours":18.132967246907018,"endHours":18.649006004885194,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.882967246907018,"endHours":19.632967246907018,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:21","startHours":23.52767114478636,"endHours":24.35333315755144,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:18","startHours":5.748037055430782,"endHours":7.296153329365311,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"08:51","startHours":7.296153329365311,"endHours":8.844269603299841,"quality":"inauspicious"},{"name":"Śubha","start":"08:51","end":"10:24","startHours":8.844269603299841,"endHours":10.392385877234371,"quality":"auspicious"},{"name":"Roga","start":"10:24","end":"11:56","startHours":10.392385877234371,"endHours":11.9405021511689,"quality":"inauspicious"},{"name":"Udveg","start":"11:56","end":"13:29","startHours":11.9405021511689,"endHours":13.488618425103429,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"15:02","startHours":13.488618425103429,"endHours":15.03673469903796,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:35","startHours":15.03673469903796,"endHours":16.58485097297249,"quality":"auspicious"},{"name":"Amṛta","start":"16:35","end":"18:08","startHours":16.58485097297249,"endHours":18.132967246907018,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:35","startHours":18.132967246907018,"endHours":19.58485097297249,"quality":"neutral"},{"name":"Labha","start":"19:35","end":"21:02","startHours":19.58485097297249,"endHours":21.036734699037957,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:29","startHours":21.036734699037957,"endHours":22.48861842510343,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"23:56","startHours":22.48861842510343,"endHours":23.9405021511689,"quality":"inauspicious"},{"name":"Śubha","start":"23:56","end":"01:24","startHours":23.9405021511689,"endHours":25.39238587723437,"quality":"auspicious"},{"name":"Roga","start":"01:24","end":"02:51","startHours":25.39238587723437,"endHours":26.844269603299843,"quality":"inauspicious"},{"name":"Udveg","start":"02:51","end":"04:18","startHours":26.844269603299843,"endHours":28.29615332936531,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:45","startHours":28.29615332936531,"endHours":29.748037055430782,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.748037055430782,"endHours":6.748037055430782,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.748037055430782,"endHours":7.748037055430782,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.748037055430782,"endHours":8.748037055430782,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.748037055430782,"endHours":9.748037055430782,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.748037055430782,"endHours":10.748037055430782,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.748037055430782,"endHours":11.748037055430782,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.748037055430782,"endHours":12.748037055430782,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.748037055430782,"endHours":13.748037055430782,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.748037055430782,"endHours":14.748037055430782,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.748037055430782,"endHours":15.748037055430782,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.748037055430782,"endHours":16.748037055430782,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.748037055430782,"endHours":17.748037055430782,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.748037055430782,"endHours":18.748037055430782,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.748037055430782,"endHours":19.748037055430782,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.748037055430782,"endHours":20.748037055430782,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.748037055430782,"endHours":21.748037055430782,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.748037055430782,"endHours":22.748037055430782,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.748037055430782,"endHours":23.748037055430782,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.748037055430782,"endHours":24.748037055430782,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.748037055430782,"endHours":25.748037055430782,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.748037055430782,"endHours":26.748037055430782,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.748037055430782,"endHours":27.748037055430782,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.748037055430782,"endHours":28.748037055430782,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.748037055430782,"endHours":29.748037055430782,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.855543589851073,"eotMinutes":4.753870929866006,"ayanamsa":20.3006}},"calendars":{"vikram_samvat":1802,"vikram_samvatsara":"Bahudhānya","saka_samvat":1667,"saka_samvatsara":"Krodhana","bengali_samvat":1152,"malayalam_era":921,"nanakshahi_year":276,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","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":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Tṛtīyā · Vikram 1802 Bahudhānya · Śaka 1667 Krodhana"},"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_ingress":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 13, 1745 CE · Ayodhyā · Vidhyamitra","description":"September 13, 1745 CE for Ayodhyā: Kṛṣṇa Tṛtīyā, sūryodaya 05:45, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1745-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1745-09-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1745-09-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1745-09-13","x-default":"https://vidhyamitra.com/city/ayodhya/1745-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:41:44.377Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T10:41:44.377Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:41:44.377Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}