{"id":"vidhyamitra:city-day:bareilly:1945-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/1945-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-01-02","date_display":"January 2, 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":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431457.770833,"kali_year":5046,"ahargana":1842992.2708,"sun":{"sidereal_longitude":258.1209,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.7659,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.645,"elapsed_within_tithi_degrees":6.645},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.7659,"elapsed_within_degrees":0.7659},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.8867},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431457.770833,"ahargana":1842992.2708,"kali_year":5046,"ayanamsa_lahiri":23.0847,"grahas":{"sun":{"sidereal_longitude":258.21069,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":118.85498999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":2.3405},"mars":{"sidereal_longitude":244.91418999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":240.23279000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":155.06749000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":303.35409000000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":74.24968999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":89.4004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.4004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431457.770833,"kali_year":5046,"ahargana":1842992.2708,"sun":{"sidereal_longitude":258.1209,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.7659,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.645,"elapsed_within_tithi_degrees":6.645},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.7659,"elapsed_within_degrees":0.7659},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.8867},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.34,"elongation":137.355},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.34,"opposition_distance":42.645}},"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":"07:05","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.377687797577872,"dayLengthDisplay":"10 Hours 22 Mins 40 Secs","nightLengthDisplay":"13 Hours 37 Mins 20 Secs","moonriseLocal":"20:25","moonsetLocal":"09:33","rahuKala":{"name":"Rāhu Kāla","start":"14:52","end":"16:10","startHours":14.868223784150358,"endHours":16.16543475884759,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:41","end":"10:59","startHours":9.67937988536142,"endHours":10.976590860058655,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:34","startHours":12.27380183475589,"endHours":13.571012809453123,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.506418422068457,"endHours":9.852341348654384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.517361594199365,"endHours":7.7940999354681075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:37","startHours":11.92787890816996,"endHours":12.61972476134182,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.701266229623236,"endHours":6.393112082795095,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.22015061950213,"endHours":7.084957935966953,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.003416467685534,"endHours":14.695262320857392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.262645733544826,"endHours":17.662645733544824,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.462645733544825,"endHours":17.895049391777235,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.212645733544825,"endHours":18.962645733544825,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:37","startHours":23.927878908169962,"endHours":24.619724761341818,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:05","end":"08:23","startHours":7.084957935966953,"endHours":8.382168910664188,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:41","startHours":8.382168910664188,"endHours":9.67937988536142,"quality":"inauspicious"},{"name":"Chala","start":"09:41","end":"10:59","startHours":9.67937988536142,"endHours":10.976590860058655,"quality":"neutral"},{"name":"Labha","start":"10:59","end":"12:16","startHours":10.976590860058655,"endHours":12.27380183475589,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:34","startHours":12.27380183475589,"endHours":13.571012809453123,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"14:52","startHours":13.571012809453123,"endHours":14.868223784150358,"quality":"inauspicious"},{"name":"Śubha","start":"14:52","end":"16:10","startHours":14.868223784150358,"endHours":16.16543475884759,"quality":"auspicious"},{"name":"Roga","start":"16:10","end":"17:28","startHours":16.16543475884759,"endHours":17.462645733544825,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:28","end":"19:10","startHours":17.462645733544825,"endHours":19.165434758847592,"quality":"inauspicious"},{"name":"Śubha","start":"19:10","end":"20:52","startHours":19.165434758847592,"endHours":20.868223784150356,"quality":"auspicious"},{"name":"Roga","start":"20:52","end":"22:34","startHours":20.868223784150356,"endHours":22.571012809453123,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"00:16","startHours":22.571012809453123,"endHours":24.27380183475589,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:59","startHours":24.27380183475589,"endHours":25.976590860058657,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"03:41","startHours":25.976590860058657,"endHours":27.67937988536142,"quality":"auspicious"},{"name":"Amṛta","start":"03:41","end":"05:23","startHours":27.67937988536142,"endHours":29.382168910664188,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"07:05","startHours":29.382168910664188,"endHours":31.084957935966955,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.084957935966953,"endHours":8.084957935966953,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.084957935966953,"endHours":9.084957935966953,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.084957935966953,"endHours":10.084957935966953,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.084957935966953,"endHours":11.084957935966953,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.084957935966953,"endHours":12.084957935966953,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.084957935966953,"endHours":13.084957935966953,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.084957935966953,"endHours":14.084957935966953,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.084957935966953,"endHours":15.084957935966953,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.084957935966953,"endHours":16.084957935966955,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.084957935966955,"endHours":17.084957935966955,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.084957935966955,"endHours":18.084957935966955,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.084957935966955,"endHours":19.084957935966955,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.084957935966955,"endHours":20.084957935966955,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.084957935966955,"endHours":21.084957935966955,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.084957935966955,"endHours":22.084957935966955,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.084957935966955,"endHours":23.084957935966955,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.084957935966955,"endHours":24.084957935966955,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.084957935966955,"endHours":25.084957935966955,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.084957935966955,"endHours":26.084957935966955,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.084957935966955,"endHours":27.084957935966955,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.084957935966955,"endHours":28.084957935966955,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.084957935966955,"endHours":29.084957935966955,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.084957935966955,"endHours":30.084957935966955,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.084957935966955,"endHours":31.084957935966955,"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","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.956275932712334,"eotMinutes":-4.149710085353452,"ayanamsa":23.0847}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 2, 1945 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 2, 1945 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 07:05, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/1945-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/1945-01-02","sa":"https://sa.vidhyamitra.com/city/bareilly/1945-01-02","hi":"https://hi.vidhyamitra.com/city/bareilly/1945-01-02","x-default":"https://vidhyamitra.com/city/bareilly/1945-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:31:28.154Z","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":"2026-06-01T01:31:28.154Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:31:28.154Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}