{"id":"vidhyamitra:city-day:bareilly:2050-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2050-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-13","date_display":"January 13, 2050 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":2050,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469819.770833,"kali_year":5151,"ahargana":1881354.2708,"sun":{"sidereal_longitude":268.2249,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.1787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.9538,"elapsed_within_tithi_degrees":9.9538},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.1787,"elapsed_within_degrees":12.8454},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.4036},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2050,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469819.770833,"ahargana":1881354.2708,"kali_year":5151,"ayanamsa_lahiri":24.5519,"grahas":{"sun":{"sidereal_longitude":268.47468000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":142.62748,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-4.2445},"mars":{"sidereal_longitude":210.07488,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":244.40247999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":94.97248000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":271.17287999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":273.72288000000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":216.797,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":36.797,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469819.770833,"kali_year":5151,"ahargana":1881354.2708,"sun":{"sidereal_longitude":268.2249,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.1787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.9538,"elapsed_within_tithi_degrees":9.9538},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.1787,"elapsed_within_degrees":12.8454},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.4036},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.244,"elongation":122.046},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.244,"opposition_distance":57.954}},"eclipse_window_40days":[]},"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:06","sunsetLocal":"17:36","solarNoonLocal":"12:21","dayLengthHours":10.503570570291828,"dayLengthDisplay":"10 Hours 30 Mins 13 Secs","nightLengthDisplay":"13 Hours 29 Mins 47 Secs","moonriseLocal":"21:44","moonsetLocal":"10:11","rahuKala":{"name":"Rāhu Kāla","start":"13:40","end":"14:58","startHours":13.661518512809373,"endHours":14.974464834095851,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:06","end":"08:25","startHours":7.096786906376981,"endHours":8.409733227663459,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:43","end":"11:02","startHours":9.722679548949937,"endHours":11.035625870236416,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.547620039445075,"endHours":9.897739058454802,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.534435680139141,"endHours":7.814530895346923,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:42","startHours":11.998453172513166,"endHours":12.698691210532623,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.696310830338071,"endHours":6.3965488683575265,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:06","startHours":6.221489358852662,"endHours":7.096786906376981,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.099167286571532,"endHours":14.799405324590987,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.40035747666881,"endHours":17.800357476668808,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.60035747666881,"endHours":18.038006250430968,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.35035747666881,"endHours":19.10035747666881,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:42","startHours":23.998453172513166,"endHours":24.698691210532623,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:06","end":"08:25","startHours":7.096786906376981,"endHours":8.409733227663459,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:43","startHours":8.409733227663459,"endHours":9.722679548949937,"quality":"inauspicious"},{"name":"Udveg","start":"09:43","end":"11:02","startHours":9.722679548949937,"endHours":11.035625870236416,"quality":"inauspicious"},{"name":"Chala","start":"11:02","end":"12:21","startHours":11.035625870236416,"endHours":12.348572191522894,"quality":"neutral"},{"name":"Labha","start":"12:21","end":"13:40","startHours":12.348572191522894,"endHours":13.661518512809373,"quality":"auspicious"},{"name":"Amṛta","start":"13:40","end":"14:58","startHours":13.661518512809373,"endHours":14.974464834095851,"quality":"auspicious"},{"name":"Kāla","start":"14:58","end":"16:17","startHours":14.974464834095851,"endHours":16.28741115538233,"quality":"inauspicious"},{"name":"Śubha","start":"16:17","end":"17:36","startHours":16.28741115538233,"endHours":17.60035747666881,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:36","end":"19:17","startHours":17.60035747666881,"endHours":19.28741115538233,"quality":"auspicious"},{"name":"Kāla","start":"19:17","end":"20:58","startHours":19.28741115538233,"endHours":20.97446483409585,"quality":"inauspicious"},{"name":"Śubha","start":"20:58","end":"22:40","startHours":20.97446483409585,"endHours":22.661518512809373,"quality":"auspicious"},{"name":"Roga","start":"22:40","end":"00:21","startHours":22.661518512809373,"endHours":24.348572191522894,"quality":"inauspicious"},{"name":"Udveg","start":"00:21","end":"02:02","startHours":24.348572191522894,"endHours":26.035625870236416,"quality":"inauspicious"},{"name":"Chala","start":"02:02","end":"03:43","startHours":26.035625870236416,"endHours":27.722679548949937,"quality":"neutral"},{"name":"Labha","start":"03:43","end":"05:25","startHours":27.722679548949937,"endHours":29.40973322766346,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:06","startHours":29.40973322766346,"endHours":31.09678690637698,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.096786906376981,"endHours":8.09678690637698,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.09678690637698,"endHours":9.09678690637698,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.09678690637698,"endHours":10.09678690637698,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.09678690637698,"endHours":11.09678690637698,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.09678690637698,"endHours":12.09678690637698,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.09678690637698,"endHours":13.09678690637698,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.09678690637698,"endHours":14.09678690637698,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.09678690637698,"endHours":15.09678690637698,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.09678690637698,"endHours":16.09678690637698,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09678690637698,"endHours":17.09678690637698,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09678690637698,"endHours":18.09678690637698,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09678690637698,"endHours":19.09678690637698,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09678690637698,"endHours":20.09678690637698,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09678690637698,"endHours":21.09678690637698,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09678690637698,"endHours":22.09678690637698,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09678690637698,"endHours":23.09678690637698,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09678690637698,"endHours":24.09678690637698,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09678690637698,"endHours":25.09678690637698,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09678690637698,"endHours":26.09678690637698,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09678690637698,"endHours":27.09678690637698,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09678690637698,"endHours":28.09678690637698,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09678690637698,"endHours":29.09678690637698,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09678690637698,"endHours":30.09678690637698,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09678690637698,"endHours":31.09678690637698,"planetary_lord":"Moon"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","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":-21.47175569061411,"eotMinutes":-8.635931491373626,"ayanamsa":24.5519}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"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}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"bareilly"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2050 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 13, 2050 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Pañcamī, sūryodaya 07:06, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2050-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2050-01-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2050-01-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2050-01-13","x-default":"https://vidhyamitra.com/city/bareilly/2050-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T18:30:52.466Z","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":"2026-05-16T18:30:52.466Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T18:30:52.466Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}