{"id":"vidhyamitra:city-day:ayodhya:1757-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1757-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1757-12-13","date_display":"December 13, 1757 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":1757,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2363137.770833,"kali_year":4859,"ahargana":1774672.2708,"sun":{"sidereal_longitude":241.0499,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":263.0198,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.9699,"elapsed_within_tithi_degrees":9.9699},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.0198,"elapsed_within_degrees":9.6865},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.0697},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1757,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2363137.770833,"ahargana":1774672.2708,"kali_year":4859,"ayanamsa_lahiri":20.4718,"grahas":{"sun":{"sidereal_longitude":240.84731599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":265.042516,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":1.9924},"mars":{"sidereal_longitude":126.24221599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":242.10751600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":226.76371599999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":288.625316,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":299.99191599999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":109.3228,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.3228,"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":1757,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2363137.770833,"kali_year":4859,"ahargana":1774672.2708,"sun":{"sidereal_longitude":241.0499,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":263.0198,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.9699,"elapsed_within_tithi_degrees":9.9699},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.0198,"elapsed_within_degrees":9.6865},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.0697},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.992,"elongation":21.97},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.992,"opposition_distance":158.03}},"eclipse_window_40days":[]},"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":"06:42","sunsetLocal":"17:10","solarNoonLocal":"11:56","dayLengthHours":10.475144281918148,"dayLengthDisplay":"10 Hours 28 Mins 31 Secs","nightLengthDisplay":"13 Hours 31 Mins 29 Secs","moonriseLocal":"08:18","moonsetLocal":"18:47","rahuKala":{"name":"Rāhu Kāla","start":"14:33","end":"15:52","startHours":14.553675232989235,"endHours":15.863068268229004,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:19","end":"10:38","startHours":9.316103092030161,"endHours":10.62549612726993,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244282197749467,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.141517353998191,"endHours":9.49068883006213,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.133781366630546,"endHours":7.413118547481697,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.58571768644576,"endHours":12.284060638573637,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.30063111729487,"endHours":5.998974069422747,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.824388331390778,"endHours":6.6973170215506235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.68074654282939,"endHours":14.379089494957267,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.972461303468773,"endHours":17.37246130346877,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.172461303468772,"endHours":17.608925648548695,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.922461303468772,"endHours":18.672461303468772,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58571768644576,"endHours":24.284060638573635,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:42","end":"08:00","startHours":6.6973170215506235,"endHours":8.006710056790393,"quality":"inauspicious"},{"name":"Udveg","start":"08:00","end":"09:19","startHours":8.006710056790393,"endHours":9.316103092030161,"quality":"inauspicious"},{"name":"Chala","start":"09:19","end":"10:38","startHours":9.316103092030161,"endHours":10.62549612726993,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"11:56","startHours":10.62549612726993,"endHours":11.934889162509698,"quality":"auspicious"},{"name":"Amṛta","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244282197749467,"quality":"auspicious"},{"name":"Kāla","start":"13:15","end":"14:33","startHours":13.244282197749467,"endHours":14.553675232989235,"quality":"inauspicious"},{"name":"Śubha","start":"14:33","end":"15:52","startHours":14.553675232989235,"endHours":15.863068268229004,"quality":"auspicious"},{"name":"Roga","start":"15:52","end":"17:10","startHours":15.863068268229004,"endHours":17.172461303468772,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:10","end":"18:52","startHours":17.172461303468772,"endHours":18.863068268229004,"quality":"inauspicious"},{"name":"Śubha","start":"18:52","end":"20:33","startHours":18.863068268229004,"endHours":20.553675232989235,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"22:15","startHours":20.553675232989235,"endHours":22.244282197749467,"quality":"inauspicious"},{"name":"Udveg","start":"22:15","end":"23:56","startHours":22.244282197749467,"endHours":23.9348891625097,"quality":"inauspicious"},{"name":"Chala","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.62549612726993,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:19","startHours":25.62549612726993,"endHours":27.31610309203016,"quality":"auspicious"},{"name":"Amṛta","start":"03:19","end":"05:00","startHours":27.31610309203016,"endHours":29.006710056790393,"quality":"auspicious"},{"name":"Kāla","start":"05:00","end":"06:42","startHours":29.006710056790393,"endHours":30.697317021550624,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.6973170215506235,"endHours":7.6973170215506235,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.6973170215506235,"endHours":8.697317021550624,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.697317021550624,"endHours":9.697317021550624,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.697317021550624,"endHours":10.697317021550624,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.697317021550624,"endHours":11.697317021550624,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.697317021550624,"endHours":12.697317021550624,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.697317021550624,"endHours":13.697317021550624,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.697317021550624,"endHours":14.697317021550624,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.697317021550624,"endHours":15.697317021550624,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.697317021550624,"endHours":16.697317021550624,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.697317021550624,"endHours":17.697317021550624,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.697317021550624,"endHours":18.697317021550624,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.697317021550624,"endHours":19.697317021550624,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.697317021550624,"endHours":20.697317021550624,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.697317021550624,"endHours":21.697317021550624,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.697317021550624,"endHours":22.697317021550624,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.697317021550624,"endHours":23.697317021550624,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.697317021550624,"endHours":24.697317021550624,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.697317021550624,"endHours":25.697317021550624,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.697317021550624,"endHours":26.697317021550624,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.697317021550624,"endHours":27.697317021550624,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.697317021550624,"endHours":28.697317021550624,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.697317021550624,"endHours":29.697317021550624,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.697317021550624,"endHours":30.697317021550624,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.152274071158967,"eotMinutes":5.090650249418121,"ayanamsa":20.4718}},"calendars":{"vikram_samvat":1814,"vikram_samvatsara":"Vikṛti","saka_samvat":1679,"saka_samvatsara":"Īśvara","bengali_samvat":1164,"malayalam_era":933,"nanakshahi_year":288,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 1814 Vikṛti · Śaka 1679 Īśvara"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 December 13, 1757 CE · Ayodhyā · Vidhyamitra","description":"December 13, 1757 CE for Ayodhyā: Śukla Dvitīyā, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1757-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1757-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1757-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1757-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/1757-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:48:06.536Z","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":"2026-05-31T16:48:06.536Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:48:06.536Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}