{"id":"vidhyamitra:city-day:bareilly:2045-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2045-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-31","date_display":"January 31, 2045 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":2045,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468011.770833,"kali_year":5146,"ahargana":1879546.2708,"sun":{"sidereal_longitude":286.9782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.2141,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2359,"elapsed_within_tithi_degrees":11.2359},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.2141,"elapsed_within_degrees":2.2141},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.1923},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2045,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468011.770833,"ahargana":1879546.2708,"kali_year":5146,"ayanamsa_lahiri":24.4828,"grahas":{"sun":{"sidereal_longitude":287.074159,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":80.89365900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":3.4648},"mars":{"sidereal_longitude":307.14135899999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":283.36055899999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":293.049759,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":275.00285900000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.47025899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":312.5936,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.5936,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468011.770833,"kali_year":5146,"ahargana":1879546.2708,"sun":{"sidereal_longitude":286.9782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.2141,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2359,"elapsed_within_tithi_degrees":11.2359},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.2141,"elapsed_within_degrees":2.2141},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.1923},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.465,"elongation":155.236},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.465,"opposition_distance":24.764}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":-0.502,"elongation":0.987}]},"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":"07:01","sunsetLocal":"17:51","solarNoonLocal":"12:26","dayLengthHours":10.841831012450983,"dayLengthDisplay":"10 Hours 50 Mins 31 Secs","nightLengthDisplay":"13 Hours 09 Mins 29 Secs","moonriseLocal":"15:46","moonsetLocal":"05:36","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:30","startHours":15.14059089547678,"endHours":16.49581977203315,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:43","end":"11:04","startHours":9.719675389251288,"endHours":11.07490426580766,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:26","end":"13:47","startHours":12.430133142364035,"endHours":13.785362018920406,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:54","startHours":9.538978205710439,"endHours":9.900372572792138,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.4609605949906666,"endHours":7.7500760886560265,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:47","startHours":12.068738775282336,"endHours":12.791527509445734,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:17","startHours":5.563640167811744,"endHours":6.286428901975143,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"07:01","startHours":6.105731718434294,"endHours":7.009217636138542,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:58","startHours":14.237104977772532,"endHours":14.95989371193593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.651048648589526,"endHours":18.051048648589525,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.851048648589526,"endHours":18.30279160744165,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.601048648589526,"endHours":19.351048648589526,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:47","startHours":24.068738775282334,"endHours":24.791527509445736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:22","startHours":7.009217636138542,"endHours":8.364446512694915,"quality":"inauspicious"},{"name":"Udveg","start":"08:22","end":"09:43","startHours":8.364446512694915,"endHours":9.719675389251288,"quality":"inauspicious"},{"name":"Chala","start":"09:43","end":"11:04","startHours":9.719675389251288,"endHours":11.07490426580766,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:26","startHours":11.07490426580766,"endHours":12.430133142364035,"quality":"auspicious"},{"name":"Amṛta","start":"12:26","end":"13:47","startHours":12.430133142364035,"endHours":13.785362018920406,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:08","startHours":13.785362018920406,"endHours":15.14059089547678,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:30","startHours":15.14059089547678,"endHours":16.49581977203315,"quality":"auspicious"},{"name":"Roga","start":"16:30","end":"17:51","startHours":16.49581977203315,"endHours":17.851048648589526,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:51","end":"19:30","startHours":17.851048648589526,"endHours":19.49581977203315,"quality":"inauspicious"},{"name":"Śubha","start":"19:30","end":"21:08","startHours":19.49581977203315,"endHours":21.14059089547678,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:47","startHours":21.14059089547678,"endHours":22.785362018920406,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:26","startHours":22.785362018920406,"endHours":24.430133142364035,"quality":"inauspicious"},{"name":"Chala","start":"00:26","end":"02:04","startHours":24.430133142364035,"endHours":26.07490426580766,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:43","startHours":26.07490426580766,"endHours":27.719675389251286,"quality":"auspicious"},{"name":"Amṛta","start":"03:43","end":"05:22","startHours":27.719675389251286,"endHours":29.364446512694915,"quality":"auspicious"},{"name":"Kāla","start":"05:22","end":"07:01","startHours":29.364446512694915,"endHours":31.009217636138544,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.009217636138542,"endHours":8.009217636138542,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.009217636138542,"endHours":9.009217636138542,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.009217636138542,"endHours":10.009217636138542,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.009217636138542,"endHours":11.009217636138542,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.009217636138542,"endHours":12.009217636138542,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.009217636138542,"endHours":13.009217636138542,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.009217636138542,"endHours":14.009217636138542,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.009217636138542,"endHours":15.009217636138542,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.009217636138542,"endHours":16.009217636138544,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.009217636138544,"endHours":17.009217636138544,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.009217636138544,"endHours":18.009217636138544,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.009217636138544,"endHours":19.009217636138544,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.009217636138544,"endHours":20.009217636138544,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.009217636138544,"endHours":21.009217636138544,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.009217636138544,"endHours":22.009217636138544,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.009217636138544,"endHours":23.009217636138544,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.009217636138544,"endHours":24.009217636138544,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.009217636138544,"endHours":25.009217636138544,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.009217636138544,"endHours":26.009217636138544,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.009217636138544,"endHours":27.009217636138544,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.009217636138544,"endHours":28.009217636138544,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.009217636138544,"endHours":29.009217636138544,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.009217636138544,"endHours":30.009217636138544,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.009217636138544,"endHours":31.009217636138544,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.314822288095982,"eotMinutes":-13.52958854184206,"ayanamsa":24.4828}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 31, 2045 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 31, 2045 CE for Bareilly, Uttar Pradesh: Śukla Trayodaśī, sūryodaya 07:01, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2045-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2045-01-31","sa":"https://sa.vidhyamitra.com/city/bareilly/2045-01-31","hi":"https://hi.vidhyamitra.com/city/bareilly/2045-01-31","x-default":"https://vidhyamitra.com/city/bareilly/2045-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T01:04:05.435Z","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":"2026-05-16T01:04:05.435Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T01:04:05.435Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}