{"id":"vidhyamitra:city-day:bareilly:2109-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2109-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-12-31","date_display":"December 31, 2109 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":2109,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491720.770833,"kali_year":5211,"ahargana":1903255.2708,"sun":{"sidereal_longitude":253.2941,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":3.0818,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.7877,"elapsed_within_tithi_degrees":1.7877},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.0818,"elapsed_within_degrees":3.0818},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.3759},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2109,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491720.770833,"ahargana":1903255.2708,"kali_year":5211,"ayanamsa_lahiri":25.3896,"grahas":{"sun":{"sidereal_longitude":253.81370100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":5.599301000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.2737},"mars":{"sidereal_longitude":176.369601,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":230.14030100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":119.62080100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":227.00340099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":282.867301,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":136.3766,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":316.3766,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2109,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491720.770833,"kali_year":5211,"ahargana":1903255.2708,"sun":{"sidereal_longitude":253.2941,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":3.0818,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.7877,"elapsed_within_tithi_degrees":1.7877},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.0818,"elapsed_within_degrees":3.0818},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.3759},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.274,"elongation":109.788},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.274,"opposition_distance":70.212}},"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":"17:26","solarNoonLocal":"12:16","dayLengthHours":10.363861853210294,"dayLengthDisplay":"10 Hours 21 Mins 50 Secs","nightLengthDisplay":"13 Hours 38 Mins 10 Secs","moonriseLocal":"13:14","moonsetLocal":"02:11","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:09","startHours":14.849876045365995,"endHours":16.145358777017282,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:58","startHours":9.66794511876085,"endHours":10.963427850412135,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:33","startHours":12.258910582063422,"endHours":13.554393313714709,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495214087874011,"endHours":9.840676149647688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.508807232675371,"endHours":7.785176882094312,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.913448520289744,"endHours":12.604372643837099,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.6951314083635705,"endHours":6.386055531910923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.2133245010240845,"endHours":7.076979655458276,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.986220890931804,"endHours":14.677145014479157,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.24084150866857,"endHours":17.64084150866857,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.44084150866857,"endHours":17.872669085885665,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.19084150866857,"endHours":18.94084150866857,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.913448520289744,"endHours":24.6043726438371,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:05","end":"08:22","startHours":7.076979655458276,"endHours":8.372462387109563,"quality":"inauspicious"},{"name":"Udveg","start":"08:22","end":"09:40","startHours":8.372462387109563,"endHours":9.66794511876085,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:58","startHours":9.66794511876085,"endHours":10.963427850412135,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:16","startHours":10.963427850412135,"endHours":12.258910582063422,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:33","startHours":12.258910582063422,"endHours":13.554393313714709,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"14:51","startHours":13.554393313714709,"endHours":14.849876045365995,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:09","startHours":14.849876045365995,"endHours":16.145358777017282,"quality":"auspicious"},{"name":"Roga","start":"16:09","end":"17:26","startHours":16.145358777017282,"endHours":17.44084150866857,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:26","end":"19:09","startHours":17.44084150866857,"endHours":19.145358777017282,"quality":"inauspicious"},{"name":"Śubha","start":"19:09","end":"20:51","startHours":19.145358777017282,"endHours":20.849876045365995,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:33","startHours":20.849876045365995,"endHours":22.55439331371471,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"00:16","startHours":22.55439331371471,"endHours":24.25891058206342,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:58","startHours":24.25891058206342,"endHours":25.96342785041214,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:40","startHours":25.96342785041214,"endHours":27.667945118760848,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:22","startHours":27.667945118760848,"endHours":29.372462387109564,"quality":"auspicious"},{"name":"Kāla","start":"05:22","end":"07:05","startHours":29.372462387109564,"endHours":31.076979655458274,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.076979655458276,"endHours":8.076979655458276,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.076979655458276,"endHours":9.076979655458276,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.076979655458276,"endHours":10.076979655458276,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.076979655458276,"endHours":11.076979655458276,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.076979655458276,"endHours":12.076979655458276,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.076979655458276,"endHours":13.076979655458276,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.076979655458276,"endHours":14.076979655458276,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.076979655458276,"endHours":15.076979655458276,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.076979655458276,"endHours":16.076979655458274,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.076979655458274,"endHours":17.076979655458274,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.076979655458274,"endHours":18.076979655458274,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.076979655458274,"endHours":19.076979655458274,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.076979655458274,"endHours":20.076979655458274,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.076979655458274,"endHours":21.076979655458274,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.076979655458274,"endHours":22.076979655458274,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.076979655458274,"endHours":23.076979655458274,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.076979655458274,"endHours":24.076979655458274,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.076979655458274,"endHours":25.076979655458274,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.076979655458274,"endHours":26.076979655458274,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.076979655458274,"endHours":27.076979655458274,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.076979655458274,"endHours":28.076979655458274,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.076979655458274,"endHours":29.076979655458274,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.076979655458274,"endHours":30.076979655458274,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.076979655458274,"endHours":31.076979655458274,"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","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","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":-23.117153008516645,"eotMinutes":-3.2562349238053434,"ayanamsa":25.3896}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 December 31, 2109 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 31, 2109 CE for Bareilly, Uttar Pradesh: Śukla Daśamī, sūryodaya 07:05, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2109-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2109-12-31","sa":"https://sa.vidhyamitra.com/city/bareilly/2109-12-31","hi":"https://hi.vidhyamitra.com/city/bareilly/2109-12-31","x-default":"https://vidhyamitra.com/city/bareilly/2109-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:37:00.752Z","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":"2026-05-30T22:37:00.752Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:37:00.752Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}