{"id":"vidhyamitra:city-day:ayodhya:1850-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1850-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-12-31","date_display":"December 31, 1850 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":1850,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397122.770833,"kali_year":4952,"ahargana":1808657.2708,"sun":{"sidereal_longitude":257.425,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.8543,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.4293,"elapsed_within_tithi_degrees":8.4293},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.8543,"elapsed_within_degrees":3.1876},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.2792},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1850,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2397122.770833,"ahargana":1808657.2708,"kali_year":4952,"ayanamsa_lahiri":21.7716,"grahas":{"sun":{"sidereal_longitude":257.30063999999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":230.00054,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":3.8472},"mars":{"sidereal_longitude":250.67823999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":277.0715399999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":181.05794000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":237.73703999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":354.26904,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":108.6339,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":288.6339,"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":1850,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397122.770833,"kali_year":4952,"ahargana":1808657.2708,"sun":{"sidereal_longitude":257.425,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.8543,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.4293,"elapsed_within_tithi_degrees":8.4293},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.8543,"elapsed_within_degrees":3.1876},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.2792},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.847,"elongation":27.571},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.847,"opposition_distance":152.429}},"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":"06:50","sunsetLocal":"17:19","solarNoonLocal":"12:04","dayLengthHours":10.477239858275517,"dayLengthDisplay":"10 Hours 28 Mins 38 Secs","nightLengthDisplay":"13 Hours 31 Mins 22 Secs","moonriseLocal":"05:00","moonsetLocal":"15:31","rahuKala":{"name":"Rāhu Kāla","start":"14:42","end":"16:00","startHours":14.693313879965633,"endHours":16.002968862250075,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:27","end":"10:46","startHours":9.454693950827874,"endHours":10.764348933112315,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:23","startHours":12.074003915396755,"endHours":13.383658897681194,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:38","startHours":9.280073286523283,"endHours":9.629314615132467,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:16","end":"07:33","startHours":7.2719356470204755,"endHours":7.551328709907823,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:25","startHours":11.724762586787572,"endHours":12.423245244005939,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:08","startHours":5.4384186718222605,"endHours":6.136901329040628,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:50","startHours":5.962280664736036,"endHours":6.835383986258996,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.820210558442675,"endHours":14.518693215661042,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.112623844534514,"endHours":17.512623844534513,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.312623844534514,"endHours":17.749175505295995,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.062623844534514,"endHours":18.812623844534514,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:25","startHours":23.72476258678757,"endHours":24.42324524400594,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:50","end":"08:09","startHours":6.835383986258996,"endHours":8.145038968543435,"quality":"inauspicious"},{"name":"Udveg","start":"08:09","end":"09:27","startHours":8.145038968543435,"endHours":9.454693950827874,"quality":"inauspicious"},{"name":"Chala","start":"09:27","end":"10:46","startHours":9.454693950827874,"endHours":10.764348933112315,"quality":"neutral"},{"name":"Labha","start":"10:46","end":"12:04","startHours":10.764348933112315,"endHours":12.074003915396755,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:23","startHours":12.074003915396755,"endHours":13.383658897681194,"quality":"auspicious"},{"name":"Kāla","start":"13:23","end":"14:42","startHours":13.383658897681194,"endHours":14.693313879965633,"quality":"inauspicious"},{"name":"Śubha","start":"14:42","end":"16:00","startHours":14.693313879965633,"endHours":16.002968862250075,"quality":"auspicious"},{"name":"Roga","start":"16:00","end":"17:19","startHours":16.002968862250075,"endHours":17.312623844534514,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:19","end":"19:00","startHours":17.312623844534514,"endHours":19.002968862250075,"quality":"inauspicious"},{"name":"Śubha","start":"19:00","end":"20:42","startHours":19.002968862250075,"endHours":20.693313879965636,"quality":"auspicious"},{"name":"Roga","start":"20:42","end":"22:23","startHours":20.693313879965636,"endHours":22.383658897681194,"quality":"inauspicious"},{"name":"Udveg","start":"22:23","end":"00:04","startHours":22.383658897681194,"endHours":24.074003915396755,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:46","startHours":24.074003915396755,"endHours":25.764348933112316,"quality":"neutral"},{"name":"Labha","start":"01:46","end":"03:27","startHours":25.764348933112316,"endHours":27.454693950827874,"quality":"auspicious"},{"name":"Amṛta","start":"03:27","end":"05:09","startHours":27.454693950827874,"endHours":29.145038968543435,"quality":"auspicious"},{"name":"Kāla","start":"05:09","end":"06:50","startHours":29.145038968543435,"endHours":30.835383986258996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.835383986258996,"endHours":7.835383986258996,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.835383986258996,"endHours":8.835383986258996,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.835383986258996,"endHours":9.835383986258996,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.835383986258996,"endHours":10.835383986258996,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.835383986258996,"endHours":11.835383986258996,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.835383986258996,"endHours":12.835383986258996,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.835383986258996,"endHours":13.835383986258996,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.835383986258996,"endHours":14.835383986258996,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.835383986258996,"endHours":15.835383986258996,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.835383986258996,"endHours":16.835383986258996,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.835383986258996,"endHours":17.835383986258996,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.835383986258996,"endHours":18.835383986258996,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.835383986258996,"endHours":19.835383986258996,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.835383986258996,"endHours":20.835383986258996,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.835383986258996,"endHours":21.835383986258996,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.835383986258996,"endHours":22.835383986258996,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.835383986258996,"endHours":23.835383986258996,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.835383986258996,"endHours":24.835383986258996,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.835383986258996,"endHours":25.835383986258996,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.835383986258996,"endHours":26.835383986258996,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.835383986258996,"endHours":27.835383986258996,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.835383986258996,"endHours":28.835383986258996,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.835383986258996,"endHours":29.835383986258996,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.835383986258996,"endHours":30.835383986258996,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.126154322255978,"eotMinutes":-3.2562349238053434,"ayanamsa":21.7716}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 31, 1850 CE · Ayodhyā · Vidhyamitra","description":"December 31, 1850 CE for Ayodhyā: Kṛṣṇa Trayodaśī, sūryodaya 06:50, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1850-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1850-12-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/1850-12-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/1850-12-31","x-default":"https://vidhyamitra.com/city/ayodhya/1850-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T05:43:09.438Z","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":"2026-05-19T05:43:09.438Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T05:43:09.438Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}