{"id":"vidhyamitra:city-day:bareilly:2163-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2163-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-12-15","date_display":"December 15, 2163 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":2163,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511427.770833,"kali_year":5265,"ahargana":1922962.2708,"sun":{"sidereal_longitude":235.8642,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.1717,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.3075,"elapsed_within_tithi_degrees":3.3075},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.1717,"elapsed_within_degrees":0.5051},"yoga":{"number":26,"name":"Indra","sum_longitude":343.036},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2163,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511427.770833,"ahargana":1922962.2708,"kali_year":5265,"ayanamsa_lahiri":26.1433,"grahas":{"sun":{"sidereal_longitude":236.6631480000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":104.13514800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-4.0787},"mars":{"sidereal_longitude":17.169848,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":213.8941480000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":291.018648,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":274.29864799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":230.771748,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":172.2049,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":352.2049,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2163,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511427.770833,"kali_year":5265,"ahargana":1922962.2708,"sun":{"sidereal_longitude":235.8642,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.1717,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.3075,"elapsed_within_tithi_degrees":3.3075},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.1717,"elapsed_within_degrees":0.5051},"yoga":{"number":26,"name":"Indra","sum_longitude":343.036},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.079,"elongation":128.693},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.079,"opposition_distance":51.307}},"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":"06:58","sunsetLocal":"17:19","solarNoonLocal":"12:08","dayLengthHours":10.3531803874513,"dayLengthDisplay":"10 Hours 21 Mins 11 Secs","nightLengthDisplay":"13 Hours 38 Mins 49 Secs","moonriseLocal":"20:36","moonsetLocal":"10:00","rahuKala":{"name":"Rāhu Kāla","start":"13:26","end":"14:43","startHours":13.429155297871876,"endHours":14.723302846303287,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:58","end":"08:15","startHours":6.958417555714813,"endHours":8.252565104146225,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:33","end":"10:50","startHours":9.546712652577638,"endHours":10.84086020100905,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.374159646120116,"endHours":9.719265659035159,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.389800071858617,"endHours":7.665884882190651,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.78990173652542,"endHours":12.480113762355506,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.577993504054639,"endHours":6.268205529884726,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:58","startHours":6.095652523427204,"endHours":6.958417555714813,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:33","startHours":13.860537814015679,"endHours":14.550749839845766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.111597943166114,"endHours":17.511597943166112,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.311597943166113,"endHours":17.742980459309916,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.061597943166113,"endHours":18.811597943166113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.78990173652542,"endHours":24.480113762355504,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:58","end":"08:15","startHours":6.958417555714813,"endHours":8.252565104146225,"quality":"auspicious"},{"name":"Roga","start":"08:15","end":"09:33","startHours":8.252565104146225,"endHours":9.546712652577638,"quality":"inauspicious"},{"name":"Udveg","start":"09:33","end":"10:50","startHours":9.546712652577638,"endHours":10.84086020100905,"quality":"inauspicious"},{"name":"Chala","start":"10:50","end":"12:08","startHours":10.84086020100905,"endHours":12.135007749440462,"quality":"neutral"},{"name":"Labha","start":"12:08","end":"13:26","startHours":12.135007749440462,"endHours":13.429155297871876,"quality":"auspicious"},{"name":"Amṛta","start":"13:26","end":"14:43","startHours":13.429155297871876,"endHours":14.723302846303287,"quality":"auspicious"},{"name":"Kāla","start":"14:43","end":"16:01","startHours":14.723302846303287,"endHours":16.0174503947347,"quality":"inauspicious"},{"name":"Śubha","start":"16:01","end":"17:19","startHours":16.0174503947347,"endHours":17.311597943166113,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:01","startHours":17.311597943166113,"endHours":19.017450394734702,"quality":"auspicious"},{"name":"Kāla","start":"19:01","end":"20:43","startHours":19.017450394734702,"endHours":20.723302846303287,"quality":"inauspicious"},{"name":"Śubha","start":"20:43","end":"22:26","startHours":20.723302846303287,"endHours":22.429155297871876,"quality":"auspicious"},{"name":"Roga","start":"22:26","end":"00:08","startHours":22.429155297871876,"endHours":24.13500774944046,"quality":"inauspicious"},{"name":"Udveg","start":"00:08","end":"01:50","startHours":24.13500774944046,"endHours":25.84086020100905,"quality":"inauspicious"},{"name":"Chala","start":"01:50","end":"03:33","startHours":25.84086020100905,"endHours":27.54671265257764,"quality":"neutral"},{"name":"Labha","start":"03:33","end":"05:15","startHours":27.54671265257764,"endHours":29.25256510414623,"quality":"auspicious"},{"name":"Amṛta","start":"05:15","end":"06:58","startHours":29.25256510414623,"endHours":30.958417555714814,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.958417555714813,"endHours":7.958417555714813,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.958417555714813,"endHours":8.958417555714814,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.958417555714814,"endHours":9.958417555714814,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.958417555714814,"endHours":10.958417555714814,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.958417555714814,"endHours":11.958417555714814,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.958417555714814,"endHours":12.958417555714814,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.958417555714814,"endHours":13.958417555714814,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.958417555714814,"endHours":14.958417555714814,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.958417555714814,"endHours":15.958417555714814,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.958417555714814,"endHours":16.958417555714814,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.958417555714814,"endHours":17.958417555714814,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.958417555714814,"endHours":18.958417555714814,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.958417555714814,"endHours":19.958417555714814,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.958417555714814,"endHours":20.958417555714814,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.958417555714814,"endHours":21.958417555714814,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.958417555714814,"endHours":22.958417555714814,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.958417555714814,"endHours":23.958417555714814,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.958417555714814,"endHours":24.958417555714814,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.958417555714814,"endHours":25.958417555714814,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.958417555714814,"endHours":26.958417555714814,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.958417555714814,"endHours":27.958417555714814,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.958417555714814,"endHours":28.958417555714814,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.958417555714814,"endHours":29.958417555714814,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.958417555714814,"endHours":30.958417555714814,"planetary_lord":"Moon"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.241143495892445,"eotMinutes":4.177935033572184,"ayanamsa":26.1433}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 December 15, 2163 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 15, 2163 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Pañcamī, sūryodaya 06:58, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2163-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2163-12-15","sa":"https://sa.vidhyamitra.com/city/bareilly/2163-12-15","hi":"https://hi.vidhyamitra.com/city/bareilly/2163-12-15","x-default":"https://vidhyamitra.com/city/bareilly/2163-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:31:51.043Z","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":"2026-05-31T13:31:51.043Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:31:51.043Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}