{"id":"vidhyamitra:city-day:bareilly:2018-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2018-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-12-20","date_display":"December 20, 2018 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":2018,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458472.770833,"kali_year":5120,"ahargana":1870007.2708,"sun":{"sidereal_longitude":243.5802,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":27.9659,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.3858,"elapsed_within_tithi_degrees":0.3858},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.9659,"elapsed_within_degrees":1.2993},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.5461},"karana":{"half_tithi_index":24,"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":2018,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458472.770833,"ahargana":1870007.2708,"kali_year":5120,"ayanamsa_lahiri":24.118,"grahas":{"sun":{"sidereal_longitude":243.96971900000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":27.947519,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-4.2294},"mars":{"sidereal_longitude":327.537419,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":222.93841900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":225.04721900000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":198.01171899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":255.751219,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":98.0157,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":278.0157,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2018,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458472.770833,"kali_year":5120,"ahargana":1870007.2708,"sun":{"sidereal_longitude":243.5802,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":27.9659,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.3858,"elapsed_within_tithi_degrees":0.3858},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.9659,"elapsed_within_degrees":1.2993},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.5461},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.229,"elongation":144.386},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.229,"opposition_distance":35.614}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":1.158,"elongation":1.13}]},"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":"07:00","sunsetLocal":"17:21","solarNoonLocal":"12:10","dayLengthHours":10.3375018511712,"dayLengthDisplay":"10 Hours 20 Mins 15 Secs","nightLengthDisplay":"13 Hours 39 Mins 45 Secs","moonriseLocal":"15:02","moonsetLocal":"04:30","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:45","startHours":13.465962439355254,"endHours":14.758150170751655,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:00","end":"08:18","startHours":7.005023782373254,"endHours":8.297211513769653,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:35","end":"10:53","startHours":9.589399245166053,"endHours":10.881586976562454,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:46","startHours":9.417107547646534,"endHours":9.761690942685574,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.435753026172054,"endHours":7.711419742203286,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.829191312919814,"endHours":12.518358102997894,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:19","startHours":5.626690202217094,"endHours":6.315856992295174,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:00","startHours":6.143565294775653,"endHours":7.005023782373254,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.896691683154053,"endHours":14.585858473232133,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.142525633544455,"endHours":17.542525633544454,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:46","startHours":17.342525633544454,"endHours":17.773254877343255,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.092525633544454,"endHours":18.842525633544454,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.829191312919814,"endHours":24.518358102997897,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:00","end":"08:18","startHours":7.005023782373254,"endHours":8.297211513769653,"quality":"auspicious"},{"name":"Roga","start":"08:18","end":"09:35","startHours":8.297211513769653,"endHours":9.589399245166053,"quality":"inauspicious"},{"name":"Udveg","start":"09:35","end":"10:53","startHours":9.589399245166053,"endHours":10.881586976562454,"quality":"inauspicious"},{"name":"Chala","start":"10:53","end":"12:10","startHours":10.881586976562454,"endHours":12.173774707958854,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:28","startHours":12.173774707958854,"endHours":13.465962439355254,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:45","startHours":13.465962439355254,"endHours":14.758150170751655,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:03","startHours":14.758150170751655,"endHours":16.050337902148055,"quality":"inauspicious"},{"name":"Śubha","start":"16:03","end":"17:21","startHours":16.050337902148055,"endHours":17.342525633544454,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"19:03","startHours":17.342525633544454,"endHours":19.050337902148055,"quality":"auspicious"},{"name":"Kāla","start":"19:03","end":"20:45","startHours":19.050337902148055,"endHours":20.758150170751655,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:28","startHours":20.758150170751655,"endHours":22.465962439355252,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:10","startHours":22.465962439355252,"endHours":24.173774707958856,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:53","startHours":24.173774707958856,"endHours":25.881586976562453,"quality":"inauspicious"},{"name":"Chala","start":"01:53","end":"03:35","startHours":25.881586976562453,"endHours":27.589399245166053,"quality":"neutral"},{"name":"Labha","start":"03:35","end":"05:18","startHours":27.589399245166053,"endHours":29.297211513769653,"quality":"auspicious"},{"name":"Amṛta","start":"05:18","end":"07:00","startHours":29.297211513769653,"endHours":31.005023782373254,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":7.005023782373254,"endHours":8.005023782373254,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":8.005023782373254,"endHours":9.005023782373254,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":9.005023782373254,"endHours":10.005023782373254,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":10.005023782373254,"endHours":11.005023782373254,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":11.005023782373254,"endHours":12.005023782373254,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":12.005023782373254,"endHours":13.005023782373254,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":13.005023782373254,"endHours":14.005023782373254,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":14.005023782373254,"endHours":15.005023782373254,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":15.005023782373254,"endHours":16.005023782373254,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":16.005023782373254,"endHours":17.005023782373254,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":17.005023782373254,"endHours":18.005023782373254,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":18.005023782373254,"endHours":19.005023782373254,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":19.005023782373254,"endHours":20.005023782373254,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":20.005023782373254,"endHours":21.005023782373254,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":21.005023782373254,"endHours":22.005023782373254,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":22.005023782373254,"endHours":23.005023782373254,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":23.005023782373254,"endHours":24.005023782373254,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":24.005023782373254,"endHours":25.005023782373254,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":25.005023782373254,"endHours":26.005023782373254,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":26.005023782373254,"endHours":27.005023782373254,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":27.005023782373254,"endHours":28.005023782373254,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":28.005023782373254,"endHours":29.005023782373254,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":29.005023782373254,"endHours":30.005023782373254,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":30.005023782373254,"endHours":31.005023782373254,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.422668412082498,"eotMinutes":1.851917522468745,"ayanamsa":24.118}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 20, 2018 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 20, 2018 CE for Bareilly, Uttar Pradesh: Śukla Trayodaśī, sūryodaya 07:00, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2018-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2018-12-20","sa":"https://sa.vidhyamitra.com/city/bareilly/2018-12-20","hi":"https://hi.vidhyamitra.com/city/bareilly/2018-12-20","x-default":"https://vidhyamitra.com/city/bareilly/2018-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T08:35:24.114Z","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":"2026-05-15T08:35:24.114Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T08:35:24.114Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}