{"id":"vidhyamitra:city-day:bareilly:2050-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2050-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-03","date_display":"October 3, 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":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470082.770833,"kali_year":5152,"ahargana":1881617.2708,"sun":{"sidereal_longitude":164.6091,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":15.6518,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0427,"elapsed_within_tithi_degrees":7.0427},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.6518,"elapsed_within_degrees":2.3184},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.2609},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470082.770833,"ahargana":1881617.2708,"kali_year":5152,"ayanamsa_lahiri":24.562,"grahas":{"sun":{"sidereal_longitude":165.477531,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":17.487931000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":0.5642},"mars":{"sidereal_longitude":293.8528309999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":161.594831,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":121.882631,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":185.28573099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":277.027731,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.862,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.862,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470082.770833,"kali_year":5152,"ahargana":1881617.2708,"sun":{"sidereal_longitude":164.6091,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":15.6518,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0427,"elapsed_within_tithi_degrees":7.0427},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.6518,"elapsed_within_degrees":2.3184},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.2609},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.564,"elongation":148.957},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.564,"opposition_distance":31.043}},"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":"06:05","sunsetLocal":"17:56","solarNoonLocal":"12:00","dayLengthHours":11.839815548413618,"dayLengthDisplay":"11 Hours 50 Mins 23 Secs","nightLengthDisplay":"12 Hours 09 Mins 37 Secs","moonriseLocal":"19:31","moonsetLocal":"08:46","rahuKala":{"name":"Rāhu Kāla","start":"07:34","end":"09:03","startHours":7.568137017985636,"endHours":9.04811396153734,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:32","end":"12:00","startHours":10.52809090508904,"endHours":12.008067848640742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:58","startHours":13.488044792192445,"endHours":14.968021735744149,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.850783702397111,"endHours":9.245444220677566,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:54","startHours":6.581485722284501,"endHours":6.897214136908865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:24","startHours":11.613407330360289,"endHours":12.402728366921195,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:18","startHours":4.509518001312118,"endHours":5.298839037873026,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:05","startHours":5.101508778732799,"endHours":6.088160074433934,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:46","startHours":13.981370440043012,"endHours":14.77069147660392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.727975622847552,"endHours":18.12797562284755,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:25","startHours":17.92797562284755,"endHours":18.42130127069812,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.67797562284755,"endHours":19.42797562284755,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:24","startHours":23.61340733036029,"endHours":24.402728366921195,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:05","end":"07:34","startHours":6.088160074433934,"endHours":7.568137017985636,"quality":"auspicious"},{"name":"Kāla","start":"07:34","end":"09:03","startHours":7.568137017985636,"endHours":9.04811396153734,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:32","startHours":9.04811396153734,"endHours":10.52809090508904,"quality":"auspicious"},{"name":"Roga","start":"10:32","end":"12:00","startHours":10.52809090508904,"endHours":12.008067848640742,"quality":"inauspicious"},{"name":"Udveg","start":"12:00","end":"13:29","startHours":12.008067848640742,"endHours":13.488044792192445,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:58","startHours":13.488044792192445,"endHours":14.968021735744149,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:27","startHours":14.968021735744149,"endHours":16.44799867929585,"quality":"auspicious"},{"name":"Amṛta","start":"16:27","end":"17:56","startHours":16.44799867929585,"endHours":17.92797562284755,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:56","end":"19:27","startHours":17.92797562284755,"endHours":19.44799867929585,"quality":"neutral"},{"name":"Labha","start":"19:27","end":"20:58","startHours":19.44799867929585,"endHours":20.968021735744145,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:29","startHours":20.968021735744145,"endHours":22.488044792192444,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:00","startHours":22.488044792192444,"endHours":24.008067848640742,"quality":"inauspicious"},{"name":"Śubha","start":"00:00","end":"01:32","startHours":24.008067848640742,"endHours":25.52809090508904,"quality":"auspicious"},{"name":"Roga","start":"01:32","end":"03:03","startHours":25.52809090508904,"endHours":27.04811396153734,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:34","startHours":27.04811396153734,"endHours":28.568137017985634,"quality":"inauspicious"},{"name":"Chala","start":"04:34","end":"06:05","startHours":28.568137017985634,"endHours":30.088160074433933,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.088160074433934,"endHours":7.088160074433934,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.088160074433934,"endHours":8.088160074433933,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.088160074433933,"endHours":9.088160074433933,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.088160074433933,"endHours":10.088160074433933,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.088160074433933,"endHours":11.088160074433933,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.088160074433933,"endHours":12.088160074433933,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.088160074433933,"endHours":13.088160074433933,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.088160074433933,"endHours":14.088160074433933,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.088160074433933,"endHours":15.088160074433933,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.088160074433933,"endHours":16.088160074433933,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.088160074433933,"endHours":17.088160074433933,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.088160074433933,"endHours":18.088160074433933,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.088160074433933,"endHours":19.088160074433933,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.088160074433933,"endHours":20.088160074433933,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.088160074433933,"endHours":21.088160074433933,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.088160074433933,"endHours":22.088160074433933,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.088160074433933,"endHours":23.088160074433933,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.088160074433933,"endHours":24.088160074433933,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.088160074433933,"endHours":25.088160074433933,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.088160074433933,"endHours":26.088160074433933,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.088160074433933,"endHours":27.088160074433933,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.088160074433933,"endHours":28.088160074433933,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.088160074433933,"endHours":29.088160074433933,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.088160074433933,"endHours":30.088160074433933,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.9758355454521586,"eotMinutes":11.794329081555436,"ayanamsa":24.562}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Tṛtīyā · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 October 3, 2050 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"October 3, 2050 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Tṛtīyā, sūryodaya 06:05, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2050-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2050-10-03","sa":"https://sa.vidhyamitra.com/city/bareilly/2050-10-03","hi":"https://hi.vidhyamitra.com/city/bareilly/2050-10-03","x-default":"https://vidhyamitra.com/city/bareilly/2050-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:06:19.378Z","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":"2026-05-31T00:06:19.378Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:06:19.378Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}