{"id":"vidhyamitra:city-day:bareilly:2104-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2104-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-12-13","date_display":"December 13, 2104 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":2104,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489876.770833,"kali_year":5206,"ahargana":1901411.2708,"sun":{"sidereal_longitude":235.1125,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":183.3558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.2433,"elapsed_within_tithi_degrees":8.2433},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.3558,"elapsed_within_degrees":10.0224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.4683},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2104,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489876.770833,"ahargana":1901411.2708,"kali_year":5206,"ayanamsa_lahiri":25.319,"grahas":{"sun":{"sidereal_longitude":235.77775500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":185.820655,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.4821},"mars":{"sidereal_longitude":242.34765500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":214.57035499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":300.87745500000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":281.47485499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":230.171655,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":234.0806,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.0806,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489876.770833,"kali_year":5206,"ahargana":1901411.2708,"sun":{"sidereal_longitude":235.1125,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":183.3558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.2433,"elapsed_within_tithi_degrees":8.2433},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.3558,"elapsed_within_degrees":10.0224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.4683},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.482,"elongation":51.757},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.482,"opposition_distance":128.243}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.94,"opposition_distance":1.264}]},"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":"06:56","sunsetLocal":"17:18","solarNoonLocal":"12:07","dayLengthHours":10.362104275576023,"dayLengthDisplay":"10 Hours 21 Mins 44 Secs","nightLengthDisplay":"13 Hours 38 Mins 16 Secs","moonriseLocal":"03:11","moonsetLocal":"14:24","rahuKala":{"name":"Rāhu Kāla","start":"09:32","end":"10:49","startHours":9.529269760282357,"endHours":10.824532794729361,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:25","end":"14:43","startHours":13.415058863623367,"endHours":14.710321898070369,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:56","end":"08:14","startHours":6.9387436913883525,"endHours":8.234006725835355,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:42","startHours":9.356568022356091,"endHours":9.701971498208625,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.37049803620402,"endHours":7.646820816886047,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:28","startHours":11.774392353323831,"endHours":12.465199305028898,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:15","startHours":5.557129787978216,"endHours":6.247936739683285,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:56","startHours":6.075235001757017,"endHours":6.9387436913883525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.846813208439034,"endHours":14.537620160144103,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.100847966964377,"endHours":17.500847966964376,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.300847966964376,"endHours":17.732602311780045,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.050847966964376,"endHours":18.800847966964376,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:28","startHours":23.77439235332383,"endHours":24.4651993050289,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:56","end":"08:14","startHours":6.9387436913883525,"endHours":8.234006725835355,"quality":"inauspicious"},{"name":"Śubha","start":"08:14","end":"09:32","startHours":8.234006725835355,"endHours":9.529269760282357,"quality":"auspicious"},{"name":"Roga","start":"09:32","end":"10:49","startHours":9.529269760282357,"endHours":10.824532794729361,"quality":"inauspicious"},{"name":"Udveg","start":"10:49","end":"12:07","startHours":10.824532794729361,"endHours":12.119795829176365,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:25","startHours":12.119795829176365,"endHours":13.415058863623367,"quality":"neutral"},{"name":"Labha","start":"13:25","end":"14:43","startHours":13.415058863623367,"endHours":14.710321898070369,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:00","startHours":14.710321898070369,"endHours":16.005584932517372,"quality":"auspicious"},{"name":"Kāla","start":"16:00","end":"17:18","startHours":16.005584932517372,"endHours":17.300847966964376,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:18","end":"19:00","startHours":17.300847966964376,"endHours":19.005584932517372,"quality":"auspicious"},{"name":"Amṛta","start":"19:00","end":"20:43","startHours":19.005584932517372,"endHours":20.71032189807037,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:25","startHours":20.71032189807037,"endHours":22.41505886362337,"quality":"inauspicious"},{"name":"Śubha","start":"22:25","end":"00:07","startHours":22.41505886362337,"endHours":24.119795829176365,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:49","startHours":24.119795829176365,"endHours":25.82453279472936,"quality":"inauspicious"},{"name":"Udveg","start":"01:49","end":"03:32","startHours":25.82453279472936,"endHours":27.52926976028236,"quality":"inauspicious"},{"name":"Chala","start":"03:32","end":"05:14","startHours":27.52926976028236,"endHours":29.234006725835357,"quality":"neutral"},{"name":"Labha","start":"05:14","end":"06:56","startHours":29.234006725835357,"endHours":30.938743691388353,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.9387436913883525,"endHours":7.9387436913883525,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.9387436913883525,"endHours":8.938743691388353,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.938743691388353,"endHours":9.938743691388353,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.938743691388353,"endHours":10.938743691388353,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.938743691388353,"endHours":11.938743691388353,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.938743691388353,"endHours":12.938743691388353,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.938743691388353,"endHours":13.938743691388353,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.938743691388353,"endHours":14.938743691388353,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.938743691388353,"endHours":15.938743691388353,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.938743691388353,"endHours":16.938743691388353,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.938743691388353,"endHours":17.938743691388353,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.938743691388353,"endHours":18.938743691388353,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.938743691388353,"endHours":19.938743691388353,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.938743691388353,"endHours":20.938743691388353,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.938743691388353,"endHours":21.938743691388353,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.938743691388353,"endHours":22.938743691388353,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.938743691388353,"endHours":23.938743691388353,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.938743691388353,"endHours":24.938743691388353,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.938743691388353,"endHours":25.938743691388353,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.938743691388353,"endHours":26.938743691388353,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.938743691388353,"endHours":27.938743691388353,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.938743691388353,"endHours":28.938743691388353,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.938743691388353,"endHours":29.938743691388353,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.938743691388353,"endHours":30.938743691388353,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.13757283920624,"eotMinutes":5.090650249418121,"ayanamsa":25.319}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 13, 2104 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 13, 2104 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Ekādaśī, sūryodaya 06:56, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2104-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2104-12-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2104-12-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2104-12-13","x-default":"https://vidhyamitra.com/city/bareilly/2104-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T05:40:25.867Z","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":"2026-05-21T05:40:25.867Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T05:40:25.867Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}