{"id":"vidhyamitra:city-day:bareilly:2157-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2157-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-12-21","date_display":"December 21, 2157 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":2157,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509242.770833,"kali_year":5259,"ahargana":1920777.2708,"sun":{"sidereal_longitude":242.5871,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.1294,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.5423,"elapsed_within_tithi_degrees":0.5423},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.1294,"elapsed_within_degrees":3.1294},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.7165},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2157,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509242.770833,"ahargana":1920777.2708,"kali_year":5259,"ayanamsa_lahiri":26.0597,"grahas":{"sun":{"sidereal_longitude":243.313631,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":124.16453100000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-1.1751},"mars":{"sidereal_longitude":293.4599310000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":228.10173099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":135.96833099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":210.72333100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":167.614331,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":287.9768,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":107.9768,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509242.770833,"kali_year":5259,"ahargana":1920777.2708,"sun":{"sidereal_longitude":242.5871,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.1294,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.5423,"elapsed_within_tithi_degrees":0.5423},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.1294,"elapsed_within_degrees":3.1294},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.7165},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.175,"elongation":119.458},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.175,"opposition_distance":60.542}},"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":"07:01","sunsetLocal":"17:21","solarNoonLocal":"12:11","dayLengthHours":10.336433746036647,"dayLengthDisplay":"10 Hours 20 Mins 11 Secs","nightLengthDisplay":"13 Hours 39 Mins 49 Secs","moonriseLocal":"21:47","moonsetLocal":"10:42","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:28","startHours":12.181596176550961,"endHours":13.473650394805542,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:18","end":"09:36","startHours":8.305433521787219,"endHours":9.5974877400418,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:11","startHours":10.88954195829638,"endHours":12.181596176550961,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:46","startHours":9.425213844274523,"endHours":9.769761635809077,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:43","startHours":7.444064042950832,"endHours":7.719702276178476,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.837048385016406,"endHours":12.526143968085517,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:19","startHours":5.635188137394419,"endHours":6.324283720463529,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.152009824696251,"endHours":7.013379303532639,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:36","startHours":13.904335134223736,"endHours":14.593430717292845,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.149813049569286,"endHours":17.549813049569284,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.349813049569285,"endHours":17.78049778898748,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.099813049569285,"endHours":18.849813049569285,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.837048385016406,"endHours":24.526143968085517,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:01","end":"08:18","startHours":7.013379303532639,"endHours":8.305433521787219,"quality":"auspicious"},{"name":"Amṛta","start":"08:18","end":"09:36","startHours":8.305433521787219,"endHours":9.5974877400418,"quality":"auspicious"},{"name":"Kāla","start":"09:36","end":"10:53","startHours":9.5974877400418,"endHours":10.88954195829638,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:11","startHours":10.88954195829638,"endHours":12.181596176550961,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:28","startHours":12.181596176550961,"endHours":13.473650394805542,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"14:46","startHours":13.473650394805542,"endHours":14.765704613060123,"quality":"inauspicious"},{"name":"Chala","start":"14:46","end":"16:03","startHours":14.765704613060123,"endHours":16.057758831314704,"quality":"neutral"},{"name":"Labha","start":"16:03","end":"17:21","startHours":16.057758831314704,"endHours":17.349813049569285,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:21","end":"19:03","startHours":17.349813049569285,"endHours":19.057758831314704,"quality":"inauspicious"},{"name":"Chala","start":"19:03","end":"20:46","startHours":19.057758831314704,"endHours":20.765704613060123,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:28","startHours":20.765704613060123,"endHours":22.473650394805542,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"00:11","startHours":22.473650394805542,"endHours":24.18159617655096,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:53","startHours":24.18159617655096,"endHours":25.88954195829638,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:36","startHours":25.88954195829638,"endHours":27.5974877400418,"quality":"auspicious"},{"name":"Roga","start":"03:36","end":"05:18","startHours":27.5974877400418,"endHours":29.30543352178722,"quality":"inauspicious"},{"name":"Udveg","start":"05:18","end":"07:01","startHours":29.30543352178722,"endHours":31.013379303532638,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.013379303532639,"endHours":8.013379303532638,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.013379303532638,"endHours":9.013379303532638,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.013379303532638,"endHours":10.013379303532638,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.013379303532638,"endHours":11.013379303532638,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.013379303532638,"endHours":12.013379303532638,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.013379303532638,"endHours":13.013379303532638,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.013379303532638,"endHours":14.013379303532638,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.013379303532638,"endHours":15.013379303532638,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.013379303532638,"endHours":16.013379303532638,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.013379303532638,"endHours":17.013379303532638,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.013379303532638,"endHours":18.013379303532638,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.013379303532638,"endHours":19.013379303532638,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.013379303532638,"endHours":20.013379303532638,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.013379303532638,"endHours":21.013379303532638,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.013379303532638,"endHours":22.013379303532638,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.013379303532638,"endHours":23.013379303532638,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.013379303532638,"endHours":24.013379303532638,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.013379303532638,"endHours":25.013379303532638,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.013379303532638,"endHours":26.013379303532638,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.013379303532638,"endHours":27.013379303532638,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.013379303532638,"endHours":28.013379303532638,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.013379303532638,"endHours":29.013379303532638,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.013379303532638,"endHours":30.013379303532638,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.013379303532638,"endHours":31.013379303532638,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.435014401990394,"eotMinutes":1.382629406942221,"ayanamsa":26.0597}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 21, 2157 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 21, 2157 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:01, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2157-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2157-12-21","sa":"https://sa.vidhyamitra.com/city/bareilly/2157-12-21","hi":"https://hi.vidhyamitra.com/city/bareilly/2157-12-21","x-default":"https://vidhyamitra.com/city/bareilly/2157-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:49:15.430Z","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":"2026-05-30T22:49:15.430Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:49:15.430Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}