{"id":"vidhyamitra:city-day:ayodhya:1664-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1664-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1664-12-13","date_display":"December 13, 1664 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":1664,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2329170.770833,"kali_year":4766,"ahargana":1740705.2708,"sun":{"sidereal_longitude":243.1692,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.935,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.7658,"elapsed_within_tithi_degrees":6.7658},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.935,"elapsed_within_degrees":3.2683},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":73.1042},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1664,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2329170.770833,"ahargana":1740705.2708,"kali_year":4766,"ayanamsa_lahiri":19.1726,"grahas":{"sun":{"sidereal_longitude":242.73070600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":190.59040600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":4.443},"mars":{"sidereal_longitude":268.129006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":235.35480600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":276.648906,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":270.5981059999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":254.880806,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":109.0579,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.0579,"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":1664,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2329170.770833,"kali_year":4766,"ahargana":1740705.2708,"sun":{"sidereal_longitude":243.1692,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.935,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.7658,"elapsed_within_tithi_degrees":6.7658},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.935,"elapsed_within_degrees":3.2683},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":73.1042},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.443,"elongation":53.234},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.443,"opposition_distance":126.766}},"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":10.472184544096079,"dayLengthDisplay":"10 Hours 28 Mins 20 Secs","nightLengthDisplay":"13 Hours 31 Mins 40 Secs","moonriseLocal":"02:48","moonsetLocal":"14:07","rahuKala":{"name":"Rāhu Kāla","start":"09:19","end":"10:38","startHours":9.31684302648568,"endHours":10.625866094497688,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:15","end":"14:33","startHours":13.243912230521708,"endHours":14.552935298533718,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:42","end":"08:00","startHours":6.69879689046166,"endHours":8.00781995847367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:29","startHours":9.142306617417411,"endHours":9.491379435553947,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.13513791313233,"endHours":7.414396167641558,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585816344373162,"endHours":12.283961980646234,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.302505617915516,"endHours":6.000651254188588,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:50","end":"06:42","startHours":5.82611484512032,"endHours":6.69879689046166,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.68025325319238,"endHours":14.378398889465451,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.97098143455774,"endHours":17.370981434557738,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:36","startHours":17.17098143455774,"endHours":17.60732245722841,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.92098143455774,"endHours":18.67098143455774,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58581634437316,"endHours":24.283961980646236,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:42","end":"08:00","startHours":6.69879689046166,"endHours":8.00781995847367,"quality":"inauspicious"},{"name":"Śubha","start":"08:00","end":"09:19","startHours":8.00781995847367,"endHours":9.31684302648568,"quality":"auspicious"},{"name":"Roga","start":"09:19","end":"10:38","startHours":9.31684302648568,"endHours":10.625866094497688,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"11:56","startHours":10.625866094497688,"endHours":11.934889162509698,"quality":"inauspicious"},{"name":"Chala","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.243912230521708,"quality":"neutral"},{"name":"Labha","start":"13:15","end":"14:33","startHours":13.243912230521708,"endHours":14.552935298533718,"quality":"auspicious"},{"name":"Amṛta","start":"14:33","end":"15:52","startHours":14.552935298533718,"endHours":15.861958366545728,"quality":"auspicious"},{"name":"Kāla","start":"15:52","end":"17:10","startHours":15.861958366545728,"endHours":17.17098143455774,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:10","end":"18:52","startHours":17.17098143455774,"endHours":18.86195836654573,"quality":"auspicious"},{"name":"Amṛta","start":"18:52","end":"20:33","startHours":18.86195836654573,"endHours":20.55293529853372,"quality":"auspicious"},{"name":"Kāla","start":"20:33","end":"22:15","startHours":20.55293529853372,"endHours":22.24391223052171,"quality":"inauspicious"},{"name":"Śubha","start":"22:15","end":"23:56","startHours":22.24391223052171,"endHours":23.9348891625097,"quality":"auspicious"},{"name":"Roga","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625866094497688,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:19","startHours":25.625866094497688,"endHours":27.316843026485678,"quality":"inauspicious"},{"name":"Chala","start":"03:19","end":"05:00","startHours":27.316843026485678,"endHours":29.007819958473668,"quality":"neutral"},{"name":"Labha","start":"05:00","end":"06:42","startHours":29.007819958473668,"endHours":30.698796890461658,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.69879689046166,"endHours":7.69879689046166,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.69879689046166,"endHours":8.69879689046166,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.69879689046166,"endHours":9.69879689046166,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.69879689046166,"endHours":10.69879689046166,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.69879689046166,"endHours":11.69879689046166,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.69879689046166,"endHours":12.69879689046166,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.69879689046166,"endHours":13.69879689046166,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.69879689046166,"endHours":14.69879689046166,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.69879689046166,"endHours":15.69879689046166,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.69879689046166,"endHours":16.698796890461658,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.698796890461658,"endHours":17.698796890461658,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.698796890461658,"endHours":18.698796890461658,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.698796890461658,"endHours":19.698796890461658,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.698796890461658,"endHours":20.698796890461658,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.698796890461658,"endHours":21.698796890461658,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.698796890461658,"endHours":22.698796890461658,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.698796890461658,"endHours":23.698796890461658,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.698796890461658,"endHours":24.698796890461658,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.698796890461658,"endHours":25.698796890461658,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.698796890461658,"endHours":26.698796890461658,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.698796890461658,"endHours":27.698796890461658,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.698796890461658,"endHours":28.698796890461658,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.698796890461658,"endHours":29.698796890461658,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.698796890461658,"endHours":30.698796890461658,"planetary_lord":"Mercury"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","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":-23.18914572639412,"eotMinutes":5.090650249418121,"ayanamsa":19.1726}},"calendars":{"vikram_samvat":1721,"vikram_samvatsara":"Piṅgala","saka_samvat":1586,"saka_samvatsara":"Krodhi","bengali_samvat":1071,"malayalam_era":840,"nanakshahi_year":195,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 1721 Piṅgala · Śaka 1586 Krodhi"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 1664 CE · Ayodhyā · Vidhyamitra","description":"December 13, 1664 CE for Ayodhyā: Kṛṣṇa Ekādaśī, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1664-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1664-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1664-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1664-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/1664-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T01:51:23.796Z","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":"2026-06-05T01:51:23.796Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T01:51:23.796Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}