{"id":"vidhyamitra:city-day:bareilly:1945-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/1945-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-07-31","date_display":"July 31, 1945 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":1945,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431667.770833,"kali_year":5047,"ahargana":1843202.2708,"sun":{"sidereal_longitude":103.976,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":1.1238,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1478,"elapsed_within_tithi_degrees":5.1478},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.1238,"elapsed_within_degrees":1.1238},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.0998},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":1945,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431667.770833,"ahargana":1843202.2708,"kali_year":5047,"ayanamsa_lahiri":23.0928,"grahas":{"sun":{"sidereal_longitude":104.37746700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":2.4233669999999847,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.3871},"mars":{"sidereal_longitude":42.88446699999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":130.729867,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":153.13646700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":62.71086700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":84.66896700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":78.2736,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.2736,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":1945,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431667.770833,"kali_year":5047,"ahargana":1843202.2708,"sun":{"sidereal_longitude":103.976,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":1.1238,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1478,"elapsed_within_tithi_degrees":5.1478},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.1238,"elapsed_within_degrees":1.1238},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.0998},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.387,"elongation":102.852},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.387,"opposition_distance":77.148}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":-1.394,"opposition_distance":1.629}]},"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":"05:33","sunsetLocal":"19:04","solarNoonLocal":"12:18","dayLengthHours":13.515212783732746,"dayLengthDisplay":"13 Hours 30 Mins 55 Secs","nightLengthDisplay":"10 Hours 29 Mins 05 Secs","moonriseLocal":"23:06","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:22","startHours":15.684632771139032,"endHours":17.374034369105626,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:56","end":"10:37","startHours":8.927026379272661,"endHours":10.616427977239253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:18","end":"14:00","startHours":12.305829575205847,"endHours":13.99523117317244,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:09","startHours":8.701772832877115,"endHours":9.152279925668205,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.111357049328338,"endHours":6.471762723561211,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:45","startHours":11.855322482414755,"endHours":12.756336667996939,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.7461948121751076,"endHours":4.64720899775729,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.421955451361745,"endHours":5.5482231833394735,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:28","startHours":14.558365039161304,"endHours":15.459379224743486,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.86343596707222,"endHours":19.26343596707222,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.06343596707222,"endHours":19.626569833061083,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.81343596707222,"endHours":20.56343596707222,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:45","startHours":23.855322482414756,"endHours":24.75633666799694,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:33","end":"07:14","startHours":5.5482231833394735,"endHours":7.237624781306067,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"08:56","startHours":7.237624781306067,"endHours":8.927026379272661,"quality":"inauspicious"},{"name":"Chala","start":"08:56","end":"10:37","startHours":8.927026379272661,"endHours":10.616427977239253,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:18","startHours":10.616427977239253,"endHours":12.305829575205847,"quality":"auspicious"},{"name":"Amṛta","start":"12:18","end":"14:00","startHours":12.305829575205847,"endHours":13.99523117317244,"quality":"auspicious"},{"name":"Kāla","start":"14:00","end":"15:41","startHours":13.99523117317244,"endHours":15.684632771139032,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:22","startHours":15.684632771139032,"endHours":17.374034369105626,"quality":"auspicious"},{"name":"Roga","start":"17:22","end":"19:04","startHours":17.374034369105626,"endHours":19.06343596707222,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:04","end":"20:22","startHours":19.06343596707222,"endHours":20.374034369105626,"quality":"inauspicious"},{"name":"Śubha","start":"20:22","end":"21:41","startHours":20.374034369105626,"endHours":21.684632771139032,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:00","startHours":21.684632771139032,"endHours":22.99523117317244,"quality":"inauspicious"},{"name":"Udveg","start":"23:00","end":"00:18","startHours":22.99523117317244,"endHours":24.30582957520585,"quality":"inauspicious"},{"name":"Chala","start":"00:18","end":"01:37","startHours":24.30582957520585,"endHours":25.616427977239255,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"02:56","startHours":25.616427977239255,"endHours":26.92702637927266,"quality":"auspicious"},{"name":"Amṛta","start":"02:56","end":"04:14","startHours":26.92702637927266,"endHours":28.237624781306067,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:33","startHours":28.237624781306067,"endHours":29.548223183339474,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.5482231833394735,"endHours":6.5482231833394735,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.5482231833394735,"endHours":7.5482231833394735,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.5482231833394735,"endHours":8.548223183339474,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.548223183339474,"endHours":9.548223183339474,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.548223183339474,"endHours":10.548223183339474,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.548223183339474,"endHours":11.548223183339474,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.548223183339474,"endHours":12.548223183339474,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.548223183339474,"endHours":13.548223183339474,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.548223183339474,"endHours":14.548223183339474,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.548223183339474,"endHours":15.548223183339474,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.548223183339474,"endHours":16.548223183339474,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.548223183339474,"endHours":17.548223183339474,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.548223183339474,"endHours":18.548223183339474,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.548223183339474,"endHours":19.548223183339474,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.548223183339474,"endHours":20.548223183339474,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.548223183339474,"endHours":21.548223183339474,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.548223183339474,"endHours":22.548223183339474,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.548223183339474,"endHours":23.548223183339474,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.548223183339474,"endHours":24.548223183339474,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.548223183339474,"endHours":25.548223183339474,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.548223183339474,"endHours":26.548223183339474,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.548223183339474,"endHours":27.548223183339474,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.548223183339474,"endHours":28.548223183339474,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.548223183339474,"endHours":29.548223183339474,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.40114394291747,"eotMinutes":-6.071374512350812,"ayanamsa":23.0928}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Saptamī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 July 31, 1945 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"July 31, 1945 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Saptamī, sūryodaya 05:33, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/1945-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/1945-07-31","sa":"https://sa.vidhyamitra.com/city/bareilly/1945-07-31","hi":"https://hi.vidhyamitra.com/city/bareilly/1945-07-31","x-default":"https://vidhyamitra.com/city/bareilly/1945-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T03:20:33.876Z","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":"2026-05-23T03:20:33.876Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T03:20:33.876Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}