{"id":"vidhyamitra:city-day:bareilly:2052-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2052-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-01-20","date_display":"January 20, 2052 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":2052,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470556.770833,"kali_year":5153,"ahargana":1882091.2708,"sun":{"sidereal_longitude":274.8804,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":143.2545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.3741,"elapsed_within_tithi_degrees":0.3741},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":143.2545,"elapsed_within_degrees":9.9212},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.1349},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2052,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470556.770833,"ahargana":1882091.2708,"kali_year":5153,"ayanamsa_lahiri":24.5801,"grahas":{"sun":{"sidereal_longitude":275.081321,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":142.584921,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-2.5466},"mars":{"sidereal_longitude":229.62832100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":269.147021,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":160.728921,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":314.416421,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":295.12822100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":177.7472,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":357.7472,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2052,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470556.770833,"kali_year":5153,"ahargana":1882091.2708,"sun":{"sidereal_longitude":274.8804,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":143.2545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.3741,"elapsed_within_tithi_degrees":0.3741},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":143.2545,"elapsed_within_degrees":9.9212},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.1349},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.547,"elongation":131.626},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.547,"opposition_distance":48.374}},"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":"17:41","solarNoonLocal":"12:23","dayLengthHours":10.607542379643048,"dayLengthDisplay":"10 Hours 36 Mins 27 Secs","nightLengthDisplay":"13 Hours 23 Mins 33 Secs","moonriseLocal":"21:20","moonsetLocal":"09:47","rahuKala":{"name":"Rāhu Kāla","start":"09:44","end":"11:04","startHours":9.73549279404306,"endHours":11.06143559149844,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:43","end":"15:02","startHours":13.713321186409203,"endHours":15.039263983864583,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:05","end":"08:25","startHours":7.083607199132297,"endHours":8.409549996587678,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:55","startHours":9.558700421049007,"endHours":9.91228516703711,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.5255881316174245,"endHours":7.808455928407906,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.033793642965719,"endHours":12.740963134941921,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.6692682151798905,"endHours":6.376437707156094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:05","startHours":6.199645334162043,"endHours":7.083607199132297,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:52","startHours":14.15530211889433,"endHours":14.862471610870532,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.491149578775346,"endHours":17.891149578775345,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.691149578775345,"endHours":18.13313051126047,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.441149578775345,"endHours":19.191149578775345,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.03379364296572,"endHours":24.74096313494192,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:05","end":"08:25","startHours":7.083607199132297,"endHours":8.409549996587678,"quality":"inauspicious"},{"name":"Śubha","start":"08:25","end":"09:44","startHours":8.409549996587678,"endHours":9.73549279404306,"quality":"auspicious"},{"name":"Roga","start":"09:44","end":"11:04","startHours":9.73549279404306,"endHours":11.06143559149844,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:23","startHours":11.06143559149844,"endHours":12.38737838895382,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:43","startHours":12.38737838895382,"endHours":13.713321186409203,"quality":"neutral"},{"name":"Labha","start":"13:43","end":"15:02","startHours":13.713321186409203,"endHours":15.039263983864583,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:22","startHours":15.039263983864583,"endHours":16.365206781319962,"quality":"auspicious"},{"name":"Kāla","start":"16:22","end":"17:41","startHours":16.365206781319962,"endHours":17.691149578775345,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:41","end":"19:22","startHours":17.691149578775345,"endHours":19.365206781319966,"quality":"auspicious"},{"name":"Amṛta","start":"19:22","end":"21:02","startHours":19.365206781319966,"endHours":21.039263983864583,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:43","startHours":21.039263983864583,"endHours":22.713321186409203,"quality":"inauspicious"},{"name":"Śubha","start":"22:43","end":"00:23","startHours":22.713321186409203,"endHours":24.38737838895382,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:04","startHours":24.38737838895382,"endHours":26.06143559149844,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:44","startHours":26.06143559149844,"endHours":27.73549279404306,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:25","startHours":27.73549279404306,"endHours":29.40954999658768,"quality":"neutral"},{"name":"Labha","start":"05:25","end":"07:05","startHours":29.40954999658768,"endHours":31.083607199132295,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.083607199132297,"endHours":8.083607199132297,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.083607199132297,"endHours":9.083607199132297,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.083607199132297,"endHours":10.083607199132297,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.083607199132297,"endHours":11.083607199132297,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.083607199132297,"endHours":12.083607199132297,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.083607199132297,"endHours":13.083607199132297,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.083607199132297,"endHours":14.083607199132297,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.083607199132297,"endHours":15.083607199132297,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.083607199132297,"endHours":16.083607199132295,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.083607199132295,"endHours":17.083607199132295,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.083607199132295,"endHours":18.083607199132295,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.083607199132295,"endHours":19.083607199132295,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.083607199132295,"endHours":20.083607199132295,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.083607199132295,"endHours":21.083607199132295,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.083607199132295,"endHours":22.083607199132295,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.083607199132295,"endHours":23.083607199132295,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.083607199132295,"endHours":24.083607199132295,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.083607199132295,"endHours":25.083607199132295,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.083607199132295,"endHours":26.083607199132295,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.083607199132295,"endHours":27.083607199132295,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.083607199132295,"endHours":28.083607199132295,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.083607199132295,"endHours":29.083607199132295,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.083607199132295,"endHours":30.083607199132295,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.083607199132295,"endHours":31.083607199132295,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.219376253722345,"eotMinutes":-10.9643033372293,"ayanamsa":24.5801}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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 January 20, 2052 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 20, 2052 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Pañcamī, sūryodaya 07:05, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2052-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2052-01-20","sa":"https://sa.vidhyamitra.com/city/bareilly/2052-01-20","hi":"https://hi.vidhyamitra.com/city/bareilly/2052-01-20","x-default":"https://vidhyamitra.com/city/bareilly/2052-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T22:18:57.533Z","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":"2026-05-16T22:18:57.533Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T22:18:57.533Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}