{"id":"vidhyamitra:city-day:ayodhya:1761-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1761-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1761-12-13","date_display":"December 13, 1761 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":1761,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2364598.770833,"kali_year":4863,"ahargana":1776133.2708,"sun":{"sidereal_longitude":241.0139,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.4073,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.3934,"elapsed_within_tithi_degrees":1.3934},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4073,"elapsed_within_degrees":7.7407},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.4213},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1761,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2364598.770833,"ahargana":1776133.2708,"kali_year":4863,"ayanamsa_lahiri":20.5276,"grahas":{"sun":{"sidereal_longitude":240.82099599999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":76.021096,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":3.0382},"mars":{"sidereal_longitude":167.562096,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":225.39979599999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":337.308096,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":218.65879599999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":346.588996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":31.912,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.912,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":1761,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2364598.770833,"kali_year":4863,"ahargana":1776133.2708,"sun":{"sidereal_longitude":241.0139,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.4073,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.3934,"elapsed_within_tithi_degrees":1.3934},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4073,"elapsed_within_degrees":7.7407},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.4213},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.038,"elongation":166.607},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.038,"opposition_distance":13.393}},"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":10.474990087569282,"dayLengthDisplay":"10 Hours 28 Mins 30 Secs","nightLengthDisplay":"13 Hours 31 Mins 30 Secs","moonriseLocal":"18:04","moonsetLocal":"07:50","rahuKala":{"name":"Rāhu Kāla","start":"15:52","end":"17:10","startHours":15.86301044534818,"endHours":17.17238420629434,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.24426292345586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:33","end":"15:52","startHours":14.553636684402019,"endHours":15.86301044534818,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.141558472491223,"endHours":9.490724808743533,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.133852039040445,"endHours":7.413185108042292,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585722826257388,"endHours":12.284055498762008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.300728773715821,"endHours":5.9990614462204395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.8244782780942845,"endHours":6.697394118725058,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.680720843771246,"endHours":14.379053516275864,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.97238420629434,"endHours":17.37238420629434,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.17238420629434,"endHours":17.608842126609726,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.92238420629434,"endHours":18.67238420629434,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58572282625739,"endHours":24.284055498762008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:42","end":"08:00","startHours":6.697394118725058,"endHours":8.00676787967122,"quality":"inauspicious"},{"name":"Chala","start":"08:00","end":"09:19","startHours":8.00676787967122,"endHours":9.316141640617378,"quality":"neutral"},{"name":"Labha","start":"09:19","end":"10:38","startHours":9.316141640617378,"endHours":10.62551540156354,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"11:56","startHours":10.62551540156354,"endHours":11.934889162509698,"quality":"auspicious"},{"name":"Kāla","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.24426292345586,"quality":"inauspicious"},{"name":"Śubha","start":"13:15","end":"14:33","startHours":13.24426292345586,"endHours":14.553636684402019,"quality":"auspicious"},{"name":"Roga","start":"14:33","end":"15:52","startHours":14.553636684402019,"endHours":15.86301044534818,"quality":"inauspicious"},{"name":"Udveg","start":"15:52","end":"17:10","startHours":15.86301044534818,"endHours":17.17238420629434,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:10","end":"18:52","startHours":17.17238420629434,"endHours":18.86301044534818,"quality":"auspicious"},{"name":"Roga","start":"18:52","end":"20:33","startHours":18.86301044534818,"endHours":20.55363668440202,"quality":"inauspicious"},{"name":"Udveg","start":"20:33","end":"22:15","startHours":20.55363668440202,"endHours":22.244262923455857,"quality":"inauspicious"},{"name":"Chala","start":"22:15","end":"23:56","startHours":22.244262923455857,"endHours":23.9348891625097,"quality":"neutral"},{"name":"Labha","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.62551540156354,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:19","startHours":25.62551540156354,"endHours":27.316141640617378,"quality":"auspicious"},{"name":"Kāla","start":"03:19","end":"05:00","startHours":27.316141640617378,"endHours":29.006767879671216,"quality":"inauspicious"},{"name":"Śubha","start":"05:00","end":"06:42","startHours":29.006767879671216,"endHours":30.697394118725057,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.697394118725058,"endHours":7.697394118725058,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.697394118725058,"endHours":8.697394118725057,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.697394118725057,"endHours":9.697394118725057,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.697394118725057,"endHours":10.697394118725057,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.697394118725057,"endHours":11.697394118725057,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.697394118725057,"endHours":12.697394118725057,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.697394118725057,"endHours":13.697394118725057,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.697394118725057,"endHours":14.697394118725057,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.697394118725057,"endHours":15.697394118725057,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.697394118725057,"endHours":16.697394118725057,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.697394118725057,"endHours":17.697394118725057,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.697394118725057,"endHours":18.697394118725057,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.697394118725057,"endHours":19.697394118725057,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.697394118725057,"endHours":20.697394118725057,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.697394118725057,"endHours":21.697394118725057,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.697394118725057,"endHours":22.697394118725057,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.697394118725057,"endHours":23.697394118725057,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.697394118725057,"endHours":24.697394118725057,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.697394118725057,"endHours":25.697394118725057,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.697394118725057,"endHours":26.697394118725057,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.697394118725057,"endHours":27.697394118725057,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.697394118725057,"endHours":28.697394118725057,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.697394118725057,"endHours":29.697394118725057,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.697394118725057,"endHours":30.697394118725057,"planetary_lord":"Jupiter"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.15419554012433,"eotMinutes":5.090650249418121,"ayanamsa":20.5276}},"calendars":{"vikram_samvat":1818,"vikram_samvatsara":"Jaya","saka_samvat":1683,"saka_samvatsara":"Vṛṣa","bengali_samvat":1168,"malayalam_era":937,"nanakshahi_year":292,"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 Dvitīyā · Vikram 1818 Jaya · Śaka 1683 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 1761 CE · Ayodhyā · Vidhyamitra","description":"December 13, 1761 CE for Ayodhyā: Kṛṣṇa Dvitīyā, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1761-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1761-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1761-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1761-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/1761-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:11:57.467Z","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":"2026-06-01T07:11:57.467Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:11:57.467Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}