{"id":"vidhyamitra:city-day:ayodhya:2162-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2162-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-12-13","date_display":"December 13, 2162 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":2162,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511060.770833,"kali_year":5264,"ahargana":1922595.2708,"sun":{"sidereal_longitude":234.0796,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":316.5843,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.5047,"elapsed_within_tithi_degrees":10.5047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":316.5843,"elapsed_within_degrees":9.9176},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.6639},"karana":{"half_tithi_index":13,"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":2162,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511060.770833,"ahargana":1922595.2708,"kali_year":5264,"ayanamsa_lahiri":26.1293,"grahas":{"sun":{"sidereal_longitude":234.89137000000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":319.90126999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":3.6879},"mars":{"sidereal_longitude":204.85747000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":224.83137,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":263.12247,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":186.85906999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.50547000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":191.6504,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.6504,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"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":2162,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511060.770833,"kali_year":5264,"ahargana":1922595.2708,"sun":{"sidereal_longitude":234.0796,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":316.5843,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.5047,"elapsed_within_tithi_degrees":10.5047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":316.5843,"elapsed_within_degrees":9.9176},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.6639},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.688,"elongation":82.505},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.688,"opposition_distance":97.495}},"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":10.47673418175075,"dayLengthDisplay":"10 Hours 28 Mins 36 Secs","nightLengthDisplay":"13 Hours 31 Mins 24 Secs","moonriseLocal":"11:45","moonsetLocal":"23:28","rahuKala":{"name":"Rāhu Kāla","start":"08:00","end":"09:19","startHours":8.006113844353166,"endHours":9.31570561707201,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"11:56","startHours":10.625297389790855,"endHours":11.934889162509698,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:15","end":"14:33","startHours":13.244480935228541,"endHours":14.554072707947386,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.1410933807095,"endHours":9.490317853434522,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.133052662540605,"endHours":7.412432240720625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585664689784673,"endHours":12.284113635234723,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.299624180734224,"endHours":5.9980731261842735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.823460889821761,"endHours":6.696522071634323,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.681011526134823,"endHours":14.379460471584872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.973256253385074,"endHours":17.373256253385073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.173256253385073,"endHours":17.609786844291353,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.923256253385073,"endHours":18.673256253385073,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58566468978467,"endHours":24.284113635234725,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:42","end":"08:00","startHours":6.696522071634323,"endHours":8.006113844353166,"quality":"auspicious"},{"name":"Kāla","start":"08:00","end":"09:19","startHours":8.006113844353166,"endHours":9.31570561707201,"quality":"inauspicious"},{"name":"Śubha","start":"09:19","end":"10:38","startHours":9.31570561707201,"endHours":10.625297389790855,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"11:56","startHours":10.625297389790855,"endHours":11.934889162509698,"quality":"inauspicious"},{"name":"Udveg","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244480935228541,"quality":"inauspicious"},{"name":"Chala","start":"13:15","end":"14:33","startHours":13.244480935228541,"endHours":14.554072707947386,"quality":"neutral"},{"name":"Labha","start":"14:33","end":"15:52","startHours":14.554072707947386,"endHours":15.86366448066623,"quality":"auspicious"},{"name":"Amṛta","start":"15:52","end":"17:10","startHours":15.86366448066623,"endHours":17.173256253385073,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:10","end":"18:52","startHours":17.173256253385073,"endHours":18.86366448066623,"quality":"neutral"},{"name":"Labha","start":"18:52","end":"20:33","startHours":18.86366448066623,"endHours":20.554072707947384,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"22:15","startHours":20.554072707947384,"endHours":22.24448093522854,"quality":"auspicious"},{"name":"Kāla","start":"22:15","end":"23:56","startHours":22.24448093522854,"endHours":23.9348891625097,"quality":"inauspicious"},{"name":"Śubha","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625297389790855,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:19","startHours":25.625297389790855,"endHours":27.315705617072013,"quality":"inauspicious"},{"name":"Udveg","start":"03:19","end":"05:00","startHours":27.315705617072013,"endHours":29.006113844353166,"quality":"inauspicious"},{"name":"Chala","start":"05:00","end":"06:42","startHours":29.006113844353166,"endHours":30.696522071634323,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.696522071634323,"endHours":7.696522071634323,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.696522071634323,"endHours":8.696522071634323,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.696522071634323,"endHours":9.696522071634323,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.696522071634323,"endHours":10.696522071634323,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.696522071634323,"endHours":11.696522071634323,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.696522071634323,"endHours":12.696522071634323,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.696522071634323,"endHours":13.696522071634323,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.696522071634323,"endHours":14.696522071634323,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.696522071634323,"endHours":15.696522071634323,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.696522071634323,"endHours":16.696522071634323,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.696522071634323,"endHours":17.696522071634323,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.696522071634323,"endHours":18.696522071634323,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.696522071634323,"endHours":19.696522071634323,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.696522071634323,"endHours":20.696522071634323,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.696522071634323,"endHours":21.696522071634323,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.696522071634323,"endHours":22.696522071634323,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.696522071634323,"endHours":23.696522071634323,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.696522071634323,"endHours":24.696522071634323,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.696522071634323,"endHours":25.696522071634323,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.696522071634323,"endHours":26.696522071634323,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.696522071634323,"endHours":27.696522071634323,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.696522071634323,"endHours":28.696522071634323,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.696522071634323,"endHours":29.696522071634323,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.696522071634323,"endHours":30.696522071634323,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.1324582229462,"eotMinutes":5.090650249418121,"ayanamsa":26.1293}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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 December 13, 2162 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2162 CE for Ayodhyā: Śukla Saptamī, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2162-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2162-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2162-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2162-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2162-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T00:44:42.813Z","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":"2026-05-20T00:44:42.813Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T00:44:42.813Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}