{"id":"vidhyamitra:city-day:bareilly:2120-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2120-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-01-13","date_display":"January 13, 2120 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":2120,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495385.770833,"kali_year":5221,"ahargana":1906920.2708,"sun":{"sidereal_longitude":266.054,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.6175,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.5635,"elapsed_within_tithi_degrees":4.5635},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6175,"elapsed_within_degrees":1.2842},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.6715},"karana":{"half_tithi_index":24,"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":2120,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495385.770833,"ahargana":1906920.2708,"kali_year":5221,"ayanamsa_lahiri":25.5297,"grahas":{"sun":{"sidereal_longitude":266.4865709999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":56.27597100000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":4.1589},"mars":{"sidereal_longitude":259.193671,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":281.661971,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":50.24387100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":236.19947100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":47.10387100000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":302.1873,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.1873,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2120,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495385.770833,"kali_year":5221,"ahargana":1906920.2708,"sun":{"sidereal_longitude":266.054,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.6175,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.5635,"elapsed_within_tithi_degrees":4.5635},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6175,"elapsed_within_degrees":1.2842},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.6715},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.159,"elongation":148.564},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.159,"opposition_distance":31.436}},"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":"07:06","sunsetLocal":"17:36","solarNoonLocal":"12:21","dayLengthHours":10.489684583222392,"dayLengthDisplay":"10 Hours 29 Mins 23 Secs","nightLengthDisplay":"13 Hours 30 Mins 37 Secs","moonriseLocal":"15:24","moonsetLocal":"05:17","rahuKala":{"name":"Rāhu Kāla","start":"09:44","end":"11:02","startHours":9.726151045717295,"endHours":11.037361618620094,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"14:58","startHours":13.659782764425692,"endHours":14.97099333732849,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:06","end":"08:25","startHours":7.103729899911698,"endHours":8.414940472814497,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.551322969330256,"endHours":9.900979122104335,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.540800090879297,"endHours":7.82052501309856,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:42","startHours":11.998916038748815,"endHours":12.698228344296973,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.705105288815378,"endHours":6.404417594363538,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.229589517976498,"endHours":7.103729899911698,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.096852955393292,"endHours":14.796165260941452,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.39341448313409,"endHours":17.79341448313409,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.59341448313409,"endHours":18.03048467410169,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.34341448313409,"endHours":19.09341448313409,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:42","startHours":23.998916038748813,"endHours":24.698228344296975,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:06","end":"08:25","startHours":7.103729899911698,"endHours":8.414940472814497,"quality":"inauspicious"},{"name":"Śubha","start":"08:25","end":"09:44","startHours":8.414940472814497,"endHours":9.726151045717295,"quality":"auspicious"},{"name":"Roga","start":"09:44","end":"11:02","startHours":9.726151045717295,"endHours":11.037361618620094,"quality":"inauspicious"},{"name":"Udveg","start":"11:02","end":"12:21","startHours":11.037361618620094,"endHours":12.348572191522894,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"13:40","startHours":12.348572191522894,"endHours":13.659782764425692,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"14:58","startHours":13.659782764425692,"endHours":14.97099333732849,"quality":"auspicious"},{"name":"Amṛta","start":"14:58","end":"16:17","startHours":14.97099333732849,"endHours":16.282203910231292,"quality":"auspicious"},{"name":"Kāla","start":"16:17","end":"17:36","startHours":16.282203910231292,"endHours":17.59341448313409,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:36","end":"19:17","startHours":17.59341448313409,"endHours":19.282203910231292,"quality":"auspicious"},{"name":"Amṛta","start":"19:17","end":"20:58","startHours":19.282203910231292,"endHours":20.970993337328494,"quality":"auspicious"},{"name":"Kāla","start":"20:58","end":"22:40","startHours":20.970993337328494,"endHours":22.659782764425692,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:21","startHours":22.659782764425692,"endHours":24.348572191522894,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"02:02","startHours":24.348572191522894,"endHours":26.037361618620096,"quality":"inauspicious"},{"name":"Udveg","start":"02:02","end":"03:44","startHours":26.037361618620096,"endHours":27.726151045717295,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:25","startHours":27.726151045717295,"endHours":29.414940472814497,"quality":"neutral"},{"name":"Labha","start":"05:25","end":"07:06","startHours":29.414940472814497,"endHours":31.1037298999117,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.103729899911698,"endHours":8.103729899911698,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.103729899911698,"endHours":9.103729899911698,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.103729899911698,"endHours":10.103729899911698,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.103729899911698,"endHours":11.103729899911698,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.103729899911698,"endHours":12.103729899911698,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.103729899911698,"endHours":13.103729899911698,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.103729899911698,"endHours":14.103729899911698,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.103729899911698,"endHours":15.103729899911698,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.103729899911698,"endHours":16.1037298999117,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.1037298999117,"endHours":17.1037298999117,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.1037298999117,"endHours":18.1037298999117,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.1037298999117,"endHours":19.1037298999117,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.1037298999117,"endHours":20.1037298999117,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.1037298999117,"endHours":21.1037298999117,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.1037298999117,"endHours":22.1037298999117,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.1037298999117,"endHours":23.1037298999117,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.1037298999117,"endHours":24.1037298999117,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.1037298999117,"endHours":25.1037298999117,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.1037298999117,"endHours":26.1037298999117,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.1037298999117,"endHours":27.1037298999117,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.1037298999117,"endHours":28.1037298999117,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.1037298999117,"endHours":29.1037298999117,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.1037298999117,"endHours":30.1037298999117,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.1037298999117,"endHours":31.1037298999117,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.637239822205004,"eotMinutes":-8.635931491373626,"ayanamsa":25.5297}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"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":"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 13, 2120 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 13, 2120 CE for Bareilly, Uttar Pradesh: Śukla Trayodaśī, sūryodaya 07:06, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2120-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2120-01-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2120-01-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2120-01-13","x-default":"https://vidhyamitra.com/city/bareilly/2120-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T21:38:48.140Z","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":"2026-05-22T21:38:48.140Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T21:38:48.140Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}