{"id":"vidhyamitra:city-day:ayodhya:2186-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2186-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2186-12-13","date_display":"December 13, 2186 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":2186,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519826.770833,"kali_year":5288,"ahargana":1931361.2708,"sun":{"sidereal_longitude":233.8643,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.6021,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.7378,"elapsed_within_tithi_degrees":2.7378},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.6021,"elapsed_within_degrees":7.2687},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.4664},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2186,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519826.770833,"ahargana":1931361.2708,"kali_year":5288,"ayanamsa_lahiri":26.4645,"grahas":{"sun":{"sidereal_longitude":234.73484499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":258.55554500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.5154},"mars":{"sidereal_longitude":149.98794499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":245.60854500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":270.05504499999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":187.19714499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":161.87674500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":87.1855,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.1855,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":2186,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519826.770833,"kali_year":5288,"ahargana":1931361.2708,"sun":{"sidereal_longitude":233.8643,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.6021,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.7378,"elapsed_within_tithi_degrees":2.7378},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.6021,"elapsed_within_degrees":7.2687},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.4664},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.515,"elongation":26.738},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.515,"opposition_distance":153.262}},"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":10.475776019395163,"dayLengthDisplay":"10 Hours 28 Mins 33 Secs","nightLengthDisplay":"13 Hours 31 Mins 27 Secs","moonriseLocal":"08:17","moonsetLocal":"18:46","rahuKala":{"name":"Rāhu Kāla","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244361164934094,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:00","end":"09:19","startHours":8.006473155236513,"endHours":9.31594515766091,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"11:56","startHours":10.625417160085304,"endHours":11.934889162509698,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.14134889067099,"endHours":9.490541424650829,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.133491820286916,"endHours":7.412845847470787,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.58569662852986,"endHours":12.284081696489537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.300231016892763,"endHours":5.99861608485244,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.824019817862521,"endHours":6.697001152812118,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.680851832408893,"endHours":14.37923690036857,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.97277717220728,"endHours":17.37277717220728,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.17277717220728,"endHours":17.60926783968208,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.92277717220728,"endHours":18.67277717220728,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58569662852986,"endHours":24.284081696489537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:42","end":"08:00","startHours":6.697001152812118,"endHours":8.006473155236513,"quality":"auspicious"},{"name":"Amṛta","start":"08:00","end":"09:19","startHours":8.006473155236513,"endHours":9.31594515766091,"quality":"auspicious"},{"name":"Kāla","start":"09:19","end":"10:38","startHours":9.31594515766091,"endHours":10.625417160085304,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"11:56","startHours":10.625417160085304,"endHours":11.934889162509698,"quality":"auspicious"},{"name":"Roga","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244361164934094,"quality":"inauspicious"},{"name":"Udveg","start":"13:15","end":"14:33","startHours":13.244361164934094,"endHours":14.55383316735849,"quality":"inauspicious"},{"name":"Chala","start":"14:33","end":"15:52","startHours":14.55383316735849,"endHours":15.863305169782883,"quality":"neutral"},{"name":"Labha","start":"15:52","end":"17:10","startHours":15.863305169782883,"endHours":17.17277717220728,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:10","end":"18:52","startHours":17.17277717220728,"endHours":18.863305169782883,"quality":"inauspicious"},{"name":"Chala","start":"18:52","end":"20:33","startHours":18.863305169782883,"endHours":20.55383316735849,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"22:15","startHours":20.55383316735849,"endHours":22.244361164934094,"quality":"auspicious"},{"name":"Amṛta","start":"22:15","end":"23:56","startHours":22.244361164934094,"endHours":23.9348891625097,"quality":"auspicious"},{"name":"Kāla","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625417160085302,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:19","startHours":25.625417160085302,"endHours":27.315945157660906,"quality":"auspicious"},{"name":"Roga","start":"03:19","end":"05:00","startHours":27.315945157660906,"endHours":29.006473155236513,"quality":"inauspicious"},{"name":"Udveg","start":"05:00","end":"06:42","startHours":29.006473155236513,"endHours":30.697001152812117,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.697001152812118,"endHours":7.697001152812118,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.697001152812118,"endHours":8.697001152812117,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.697001152812117,"endHours":9.697001152812117,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.697001152812117,"endHours":10.697001152812117,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.697001152812117,"endHours":11.697001152812117,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.697001152812117,"endHours":12.697001152812117,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.697001152812117,"endHours":13.697001152812117,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.697001152812117,"endHours":14.697001152812117,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.697001152812117,"endHours":15.697001152812117,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.697001152812117,"endHours":16.697001152812117,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.697001152812117,"endHours":17.697001152812117,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.697001152812117,"endHours":18.697001152812117,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.697001152812117,"endHours":19.697001152812117,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.697001152812117,"endHours":20.697001152812117,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.697001152812117,"endHours":21.697001152812117,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.697001152812117,"endHours":22.697001152812117,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.697001152812117,"endHours":23.697001152812117,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.697001152812117,"endHours":24.697001152812117,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.697001152812117,"endHours":25.697001152812117,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.697001152812117,"endHours":26.697001152812117,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.697001152812117,"endHours":27.697001152812117,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.697001152812117,"endHours":28.697001152812117,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.697001152812117,"endHours":29.697001152812117,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.697001152812117,"endHours":30.697001152812117,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Prajāpati","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":-23.144401135437295,"eotMinutes":5.090650249418121,"ayanamsa":26.4645}},"calendars":{"vikram_samvat":2243,"vikram_samvatsara":"Vikāri","saka_samvat":2108,"saka_samvatsara":"Vyaya","bengali_samvat":1593,"malayalam_era":1362,"nanakshahi_year":717,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2243 Vikāri · Śaka 2108 Vyaya"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2186 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2186 CE for Ayodhyā: Śukla Tṛtīyā, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2186-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2186-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2186-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2186-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2186-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T22:02:32.845Z","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":"2026-05-21T22:02:32.845Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T22:02:32.845Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}