{"id":"vidhyamitra:city-day:bareilly:2045-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2045-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-15","date_display":"October 15, 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":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468268.770833,"kali_year":5147,"ahargana":1879803.2708,"sun":{"sidereal_longitude":176.7581,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":235.3562,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.5981,"elapsed_within_tithi_degrees":10.5981},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.3562,"elapsed_within_degrees":8.6896},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.1143},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468268.770833,"ahargana":1879803.2708,"kali_year":5147,"ayanamsa_lahiri":24.4926,"grahas":{"sun":{"sidereal_longitude":177.604239,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":236.39983900000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-4.0306},"mars":{"sidereal_longitude":127.900439,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":199.275439,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":308.33853899999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":223.702039,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.17733900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":298.9765,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.9765,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468268.770833,"kali_year":5147,"ahargana":1879803.2708,"sun":{"sidereal_longitude":176.7581,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":235.3562,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.5981,"elapsed_within_tithi_degrees":10.5981},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.3562,"elapsed_within_degrees":8.6896},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.1143},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.031,"elongation":58.598},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.031,"opposition_distance":121.402}},"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":"06:12","sunsetLocal":"17:43","solarNoonLocal":"11:57","dayLengthHours":11.503120994391821,"dayLengthDisplay":"11 Hours 30 Mins 11 Secs","nightLengthDisplay":"12 Hours 29 Mins 49 Secs","moonriseLocal":"10:43","moonsetLocal":"21:02","rahuKala":{"name":"Rāhu Kāla","start":"16:16","end":"17:43","startHours":16.270696533375133,"endHours":17.70858665767411,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:24","startHours":11.9570261604782,"endHours":13.394916284777178,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:50","end":"16:16","startHours":14.832806409076156,"endHours":16.270696533375133,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:16","startHours":8.889527228640382,"endHours":9.27296459512011,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"06:59","startHours":6.68476237138195,"endHours":6.991512264565732,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:20","startHours":11.573588793998473,"endHours":12.340463526957928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:26","startHours":4.671716197363381,"endHours":5.438590930322836,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:12","startHours":5.2468722470829725,"endHours":6.205465663282291,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:38","startHours":13.874212992876839,"endHours":14.641087725836293,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.508586657674112,"endHours":17.90858665767411,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:11","startHours":17.70858665767411,"endHours":18.18788336577377,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.45858665767411,"endHours":19.20858665767411,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:20","startHours":23.57358879399847,"endHours":24.34046352695793,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:12","end":"07:39","startHours":6.205465663282291,"endHours":7.643355787581268,"quality":"inauspicious"},{"name":"Chala","start":"07:39","end":"09:05","startHours":7.643355787581268,"endHours":9.081245911880245,"quality":"neutral"},{"name":"Labha","start":"09:05","end":"10:31","startHours":9.081245911880245,"endHours":10.519136036179223,"quality":"auspicious"},{"name":"Amṛta","start":"10:31","end":"11:57","startHours":10.519136036179223,"endHours":11.9570261604782,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:24","startHours":11.9570261604782,"endHours":13.394916284777178,"quality":"inauspicious"},{"name":"Śubha","start":"13:24","end":"14:50","startHours":13.394916284777178,"endHours":14.832806409076156,"quality":"auspicious"},{"name":"Roga","start":"14:50","end":"16:16","startHours":14.832806409076156,"endHours":16.270696533375133,"quality":"inauspicious"},{"name":"Udveg","start":"16:16","end":"17:43","startHours":16.270696533375133,"endHours":17.70858665767411,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:43","end":"19:16","startHours":17.70858665767411,"endHours":19.270696533375133,"quality":"auspicious"},{"name":"Roga","start":"19:16","end":"20:50","startHours":19.270696533375133,"endHours":20.832806409076156,"quality":"inauspicious"},{"name":"Udveg","start":"20:50","end":"22:24","startHours":20.832806409076156,"endHours":22.394916284777178,"quality":"inauspicious"},{"name":"Chala","start":"22:24","end":"23:57","startHours":22.394916284777178,"endHours":23.9570261604782,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:31","startHours":23.9570261604782,"endHours":25.519136036179223,"quality":"auspicious"},{"name":"Amṛta","start":"01:31","end":"03:05","startHours":25.519136036179223,"endHours":27.081245911880245,"quality":"auspicious"},{"name":"Kāla","start":"03:05","end":"04:39","startHours":27.081245911880245,"endHours":28.643355787581267,"quality":"inauspicious"},{"name":"Śubha","start":"04:39","end":"06:12","startHours":28.643355787581267,"endHours":30.20546566328229,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.205465663282291,"endHours":7.205465663282291,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.205465663282291,"endHours":8.20546566328229,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.20546566328229,"endHours":9.20546566328229,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.20546566328229,"endHours":10.20546566328229,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.20546566328229,"endHours":11.20546566328229,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.20546566328229,"endHours":12.20546566328229,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.20546566328229,"endHours":13.20546566328229,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.20546566328229,"endHours":14.20546566328229,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.20546566328229,"endHours":15.20546566328229,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.20546566328229,"endHours":16.20546566328229,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.20546566328229,"endHours":17.20546566328229,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.20546566328229,"endHours":18.20546566328229,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.20546566328229,"endHours":19.20546566328229,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.20546566328229,"endHours":20.20546566328229,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.20546566328229,"endHours":21.20546566328229,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.20546566328229,"endHours":22.20546566328229,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.20546566328229,"endHours":23.20546566328229,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.20546566328229,"endHours":24.20546566328229,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.20546566328229,"endHours":25.20546566328229,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.20546566328229,"endHours":26.20546566328229,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.20546566328229,"endHours":27.20546566328229,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.20546566328229,"endHours":28.20546566328229,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.20546566328229,"endHours":29.20546566328229,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.20546566328229,"endHours":30.20546566328229,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.60468957705006,"eotMinutes":14.85683037130801,"ayanamsa":24.4926}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 October 15, 2045 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"October 15, 2045 CE for Bareilly, Uttar Pradesh: Śukla Pañcamī, sūryodaya 06:12, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2045-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2045-10-15","sa":"https://sa.vidhyamitra.com/city/bareilly/2045-10-15","hi":"https://hi.vidhyamitra.com/city/bareilly/2045-10-15","x-default":"https://vidhyamitra.com/city/bareilly/2045-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T13:21:57.134Z","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":"2026-05-19T13:21:57.134Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T13:21:57.134Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}