{"id":"vidhyamitra:city-day:ayodhya:2345-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2345-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2345-12-13","date_display":"December 13, 2345 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":2345,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2577899.770833,"kali_year":5447,"ahargana":1989434.2708,"sun":{"sidereal_longitude":230.6464,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":84.5572,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.9108,"elapsed_within_tithi_degrees":9.9108},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":84.5572,"elapsed_within_degrees":4.5572},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.2036},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":2345,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2577899.770833,"ahargana":1989434.2708,"kali_year":5447,"ayanamsa_lahiri":28.6856,"grahas":{"sun":{"sidereal_longitude":231.92292899999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":88.849829,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":-1.1149},"mars":{"sidereal_longitude":269.98872900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":248.222529,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":75.270329,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":245.112029,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":281.200429,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":250.1985,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.1985,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2345,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2577899.770833,"kali_year":5447,"ahargana":1989434.2708,"sun":{"sidereal_longitude":230.6464,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":84.5572,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.9108,"elapsed_within_tithi_degrees":9.9108},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":84.5572,"elapsed_within_degrees":4.5572},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.2036},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.115,"elongation":146.089},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.115,"opposition_distance":33.911}},"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":10.479016041714665,"dayLengthDisplay":"10 Hours 28 Mins 44 Secs","nightLengthDisplay":"13 Hours 31 Mins 16 Secs","moonriseLocal":"19:37","moonsetLocal":"09:11","rahuKala":{"name":"Rāhu Kāla","start":"13:15","end":"14:33","startHours":13.24476616772403,"endHours":14.554643172938365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:42","end":"08:00","startHours":6.695381141652366,"endHours":8.005258146866698,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:19","end":"10:38","startHours":9.315135152081032,"endHours":10.625012157295366,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.140484884719122,"endHours":9.489785419442942,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.132006810057144,"endHours":7.411447237836201,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585588627785876,"endHours":12.28418969723352,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.298179002757077,"endHours":5.9967800722047215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.8221298048428105,"endHours":6.695381141652366,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.681391836128808,"endHours":14.379992905576453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.97439718336703,"endHours":17.37439718336703,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.17439718336703,"endHours":17.611022851771807,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.92439718336703,"endHours":18.67439718336703,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.585588627785874,"endHours":24.284189697233522,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:42","end":"08:00","startHours":6.695381141652366,"endHours":8.005258146866698,"quality":"auspicious"},{"name":"Roga","start":"08:00","end":"09:19","startHours":8.005258146866698,"endHours":9.315135152081032,"quality":"inauspicious"},{"name":"Udveg","start":"09:19","end":"10:38","startHours":9.315135152081032,"endHours":10.625012157295366,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"11:56","startHours":10.625012157295366,"endHours":11.934889162509698,"quality":"neutral"},{"name":"Labha","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.24476616772403,"quality":"auspicious"},{"name":"Amṛta","start":"13:15","end":"14:33","startHours":13.24476616772403,"endHours":14.554643172938365,"quality":"auspicious"},{"name":"Kāla","start":"14:33","end":"15:52","startHours":14.554643172938365,"endHours":15.864520178152699,"quality":"inauspicious"},{"name":"Śubha","start":"15:52","end":"17:10","startHours":15.864520178152699,"endHours":17.17439718336703,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:10","end":"18:52","startHours":17.17439718336703,"endHours":18.8645201781527,"quality":"auspicious"},{"name":"Kāla","start":"18:52","end":"20:33","startHours":18.8645201781527,"endHours":20.554643172938363,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"22:15","startHours":20.554643172938363,"endHours":22.24476616772403,"quality":"auspicious"},{"name":"Roga","start":"22:15","end":"23:56","startHours":22.24476616772403,"endHours":23.9348891625097,"quality":"inauspicious"},{"name":"Udveg","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625012157295366,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:19","startHours":25.625012157295366,"endHours":27.315135152081034,"quality":"neutral"},{"name":"Labha","start":"03:19","end":"05:00","startHours":27.315135152081034,"endHours":29.005258146866698,"quality":"auspicious"},{"name":"Amṛta","start":"05:00","end":"06:42","startHours":29.005258146866698,"endHours":30.695381141652366,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.695381141652366,"endHours":7.695381141652366,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.695381141652366,"endHours":8.695381141652366,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.695381141652366,"endHours":9.695381141652366,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.695381141652366,"endHours":10.695381141652366,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.695381141652366,"endHours":11.695381141652366,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.695381141652366,"endHours":12.695381141652366,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.695381141652366,"endHours":13.695381141652366,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.695381141652366,"endHours":14.695381141652366,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.695381141652366,"endHours":15.695381141652366,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.695381141652366,"endHours":16.695381141652366,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.695381141652366,"endHours":17.695381141652366,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.695381141652366,"endHours":18.695381141652366,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.695381141652366,"endHours":19.695381141652366,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.695381141652366,"endHours":20.695381141652366,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.695381141652366,"endHours":21.695381141652366,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.695381141652366,"endHours":22.695381141652366,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.695381141652366,"endHours":23.695381141652366,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.695381141652366,"endHours":24.695381141652366,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.695381141652366,"endHours":25.695381141652366,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.695381141652366,"endHours":26.695381141652366,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.695381141652366,"endHours":27.695381141652366,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.695381141652366,"endHours":28.695381141652366,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.695381141652366,"endHours":29.695381141652366,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.695381141652366,"endHours":30.695381141652366,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.104006739959747,"eotMinutes":5.090650249418121,"ayanamsa":28.6856}},"calendars":{"vikram_samvat":2402,"vikram_samvatsara":"Bahudhānya","saka_samvat":2267,"saka_samvatsara":"Krodhana","bengali_samvat":1752,"malayalam_era":1521,"nanakshahi_year":876,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa 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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Tṛtīyā · Vikram 2402 Bahudhānya · Śaka 2267 Krodhana"},"festivals":[],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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, 2345 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2345 CE for Ayodhyā: Kṛṣṇa Tṛtīyā, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2345-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2345-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2345-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2345-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2345-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T09:15:53.332Z","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":"2026-06-05T09:15:53.332Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T09:15:53.332Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}