{"id":"vidhyamitra:city-day:bareilly:2045-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2045-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-16","date_display":"January 16, 2045 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":2045,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467996.770833,"kali_year":5146,"ahargana":1879531.2708,"sun":{"sidereal_longitude":271.6076,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.5925,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9849,"elapsed_within_tithi_degrees":11.9849},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5925,"elapsed_within_degrees":7.5925},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.2001},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2045,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467996.770833,"ahargana":1879531.2708,"kali_year":5146,"ayanamsa_lahiri":24.4822,"grahas":{"sun":{"sidereal_longitude":271.818132,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":248.59823200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-4.1037},"mars":{"sidereal_longitude":295.302232,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":259.1207320000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":289.51263199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":256.175432,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.209432,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.3883,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.3883,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2045,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467996.770833,"kali_year":5146,"ahargana":1879531.2708,"sun":{"sidereal_longitude":271.6076,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.5925,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9849,"elapsed_within_tithi_degrees":11.9849},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5925,"elapsed_within_degrees":7.5925},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.2001},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.104,"elongation":24.015},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.104,"opposition_distance":155.985}},"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":"17:39","solarNoonLocal":"12:22","dayLengthHours":10.552181005373894,"dayLengthDisplay":"10 Hours 33 Mins 08 Secs","nightLengthDisplay":"13 Hours 26 Mins 52 Secs","moonriseLocal":"05:40","moonsetLocal":"15:58","rahuKala":{"name":"Rāhu Kāla","start":"08:25","end":"09:44","startHours":8.40912048201442,"endHours":9.728143107686156,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:03","end":"12:22","startHours":11.047165733357893,"endHours":12.366188359029628,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:41","end":"15:00","startHours":13.685210984701367,"endHours":15.004233610373102,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.552273424263257,"endHours":9.904012791109054,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.529772064899928,"endHours":7.811163558376565,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.014448992183832,"endHours":12.717927725875425,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:23","startHours":5.6831403889594965,"endHours":6.386619122651089,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.2107494392281914,"endHours":7.090097856342682,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:50","startHours":14.124885193258612,"endHours":14.828363926950205,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.442278861716577,"endHours":17.842278861716576,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.642278861716576,"endHours":18.081953070273823,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.392278861716576,"endHours":19.142278861716576,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.014448992183834,"endHours":24.717927725875423,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:05","end":"08:25","startHours":7.090097856342682,"endHours":8.40912048201442,"quality":"auspicious"},{"name":"Kāla","start":"08:25","end":"09:44","startHours":8.40912048201442,"endHours":9.728143107686156,"quality":"inauspicious"},{"name":"Śubha","start":"09:44","end":"11:03","startHours":9.728143107686156,"endHours":11.047165733357893,"quality":"auspicious"},{"name":"Roga","start":"11:03","end":"12:22","startHours":11.047165733357893,"endHours":12.366188359029628,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:41","startHours":12.366188359029628,"endHours":13.685210984701367,"quality":"inauspicious"},{"name":"Chala","start":"13:41","end":"15:00","startHours":13.685210984701367,"endHours":15.004233610373102,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:19","startHours":15.004233610373102,"endHours":16.32325623604484,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:39","startHours":16.32325623604484,"endHours":17.642278861716576,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:39","end":"19:19","startHours":17.642278861716576,"endHours":19.32325623604484,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:00","startHours":19.32325623604484,"endHours":21.004233610373102,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:41","startHours":21.004233610373102,"endHours":22.685210984701367,"quality":"auspicious"},{"name":"Kāla","start":"22:41","end":"00:22","startHours":22.685210984701367,"endHours":24.36618835902963,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"02:03","startHours":24.36618835902963,"endHours":26.047165733357893,"quality":"auspicious"},{"name":"Roga","start":"02:03","end":"03:44","startHours":26.047165733357893,"endHours":27.728143107686158,"quality":"inauspicious"},{"name":"Udveg","start":"03:44","end":"05:25","startHours":27.728143107686158,"endHours":29.40912048201442,"quality":"inauspicious"},{"name":"Chala","start":"05:25","end":"07:05","startHours":29.40912048201442,"endHours":31.09009785634268,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.090097856342682,"endHours":8.090097856342682,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.090097856342682,"endHours":9.090097856342682,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.090097856342682,"endHours":10.090097856342682,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.090097856342682,"endHours":11.090097856342682,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.090097856342682,"endHours":12.090097856342682,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.090097856342682,"endHours":13.090097856342682,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.090097856342682,"endHours":14.090097856342682,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.090097856342682,"endHours":15.090097856342682,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.090097856342682,"endHours":16.09009785634268,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.09009785634268,"endHours":17.09009785634268,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.09009785634268,"endHours":18.09009785634268,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.09009785634268,"endHours":19.09009785634268,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.09009785634268,"endHours":20.09009785634268,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.09009785634268,"endHours":21.09009785634268,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.09009785634268,"endHours":22.09009785634268,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.09009785634268,"endHours":23.09009785634268,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.09009785634268,"endHours":24.09009785634268,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.09009785634268,"endHours":25.09009785634268,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.09009785634268,"endHours":26.09009785634268,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.09009785634268,"endHours":27.09009785634268,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.09009785634268,"endHours":28.09009785634268,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.09009785634268,"endHours":29.09009785634268,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.09009785634268,"endHours":30.09009785634268,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.09009785634268,"endHours":31.09009785634268,"planetary_lord":"Venus"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-20.889128470849542,"eotMinutes":-9.692901541777706,"ayanamsa":24.4822}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 16, 2045 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"January 16, 2045 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Trayodaśī, sūryodaya 07:05, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2045-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2045-01-16","sa":"https://sa.vidhyamitra.com/city/bareilly/2045-01-16","hi":"https://hi.vidhyamitra.com/city/bareilly/2045-01-16","x-default":"https://vidhyamitra.com/city/bareilly/2045-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T21:30:52.636Z","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":"2026-05-15T21:30:52.636Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T21:30:52.636Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}