{"id":"vidhyamitra:city-day:bareilly:2050-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2050-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-06-13","date_display":"June 13, 2050 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":2050,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469970.770833,"kali_year":5152,"ahargana":1881505.2708,"sun":{"sidereal_longitude":57.3852,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":337.6961,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.311,"elapsed_within_tithi_degrees":4.311},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.6961,"elapsed_within_degrees":4.3628},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.0813},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2050,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469970.770833,"ahargana":1881505.2708,"kali_year":5152,"ayanamsa_lahiri":24.5577,"grahas":{"sun":{"sidereal_longitude":57.709209999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":338.79931,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.5007},"mars":{"sidereal_longitude":295.40971,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":48.33411000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":98.42471,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":95.83060999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":283.10951,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":208.7963,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.7963,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469970.770833,"kali_year":5152,"ahargana":1881505.2708,"sun":{"sidereal_longitude":57.3852,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":337.6961,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.311,"elapsed_within_tithi_degrees":4.311},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.6961,"elapsed_within_degrees":4.3628},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.0813},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.501,"elongation":79.689},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.501,"opposition_distance":100.311}},"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":"05:14","sunsetLocal":"19:10","solarNoonLocal":"12:12","dayLengthHours":13.926565287282264,"dayLengthDisplay":"13 Hours 55 Mins 36 Secs","nightLengthDisplay":"10 Hours 04 Mins 24 Secs","moonriseLocal":"00:51","moonsetLocal":"13:02","rahuKala":{"name":"Rāhu Kāla","start":"06:59","end":"08:43","startHours":6.9785916906258025,"endHours":8.719412351536086,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:28","end":"12:12","startHours":10.460233012446368,"endHours":12.20105367335665,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:41","startHours":13.941874334266934,"endHours":15.682694995177217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:57","startHours":8.48730293008138,"endHours":8.95152177299079,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.818044583352281,"endHours":6.1894196576798075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:40","startHours":11.736834830447242,"endHours":12.665272516266059,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:19","startHours":3.3808956580778844,"endHours":4.309333343896702,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:14","startHours":4.0772239224419975,"endHours":5.237771029715519,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:27","startHours":14.522147887903696,"endHours":15.450585573722513,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.964336316997784,"endHours":19.364336316997782,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:45","startHours":19.164336316997783,"endHours":19.744609870634545,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.914336316997783,"endHours":20.664336316997783,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:40","startHours":23.73683483044724,"endHours":24.66527251626606,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:14","end":"06:59","startHours":5.237771029715519,"endHours":6.9785916906258025,"quality":"auspicious"},{"name":"Kāla","start":"06:59","end":"08:43","startHours":6.9785916906258025,"endHours":8.719412351536086,"quality":"inauspicious"},{"name":"Śubha","start":"08:43","end":"10:28","startHours":8.719412351536086,"endHours":10.460233012446368,"quality":"auspicious"},{"name":"Roga","start":"10:28","end":"12:12","startHours":10.460233012446368,"endHours":12.20105367335665,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:57","startHours":12.20105367335665,"endHours":13.941874334266934,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:41","startHours":13.941874334266934,"endHours":15.682694995177217,"quality":"neutral"},{"name":"Labha","start":"15:41","end":"17:25","startHours":15.682694995177217,"endHours":17.423515656087503,"quality":"auspicious"},{"name":"Amṛta","start":"17:25","end":"19:10","startHours":17.423515656087503,"endHours":19.164336316997783,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:10","end":"20:25","startHours":19.164336316997783,"endHours":20.4235156560875,"quality":"neutral"},{"name":"Labha","start":"20:25","end":"21:41","startHours":20.4235156560875,"endHours":21.68269499517722,"quality":"auspicious"},{"name":"Amṛta","start":"21:41","end":"22:57","startHours":21.68269499517722,"endHours":22.941874334266934,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:12","startHours":22.941874334266934,"endHours":24.20105367335665,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:28","startHours":24.20105367335665,"endHours":25.460233012446366,"quality":"auspicious"},{"name":"Roga","start":"01:28","end":"02:43","startHours":25.460233012446366,"endHours":26.719412351536086,"quality":"inauspicious"},{"name":"Udveg","start":"02:43","end":"03:59","startHours":26.719412351536086,"endHours":27.9785916906258,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:14","startHours":27.9785916906258,"endHours":29.237771029715518,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.237771029715519,"endHours":6.237771029715519,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.237771029715519,"endHours":7.237771029715519,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.237771029715519,"endHours":8.23777102971552,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.23777102971552,"endHours":9.23777102971552,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.23777102971552,"endHours":10.23777102971552,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.23777102971552,"endHours":11.23777102971552,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.23777102971552,"endHours":12.23777102971552,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.23777102971552,"endHours":13.23777102971552,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.23777102971552,"endHours":14.23777102971552,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.23777102971552,"endHours":15.23777102971552,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.23777102971552,"endHours":16.237771029715518,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.237771029715518,"endHours":17.237771029715518,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.237771029715518,"endHours":18.237771029715518,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.237771029715518,"endHours":19.237771029715518,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.237771029715518,"endHours":20.237771029715518,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.237771029715518,"endHours":21.237771029715518,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.237771029715518,"endHours":22.237771029715518,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.237771029715518,"endHours":23.237771029715518,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.237771029715518,"endHours":24.237771029715518,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.237771029715518,"endHours":25.237771029715518,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.237771029715518,"endHours":26.237771029715518,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.237771029715518,"endHours":27.237771029715518,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.237771029715518,"endHours":28.237771029715518,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.237771029715518,"endHours":29.237771029715518,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.21081177155092,"eotMinutes":0.2151795986009022,"ayanamsa":24.5577}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"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 June 13, 2050 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"June 13, 2050 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Navamī, sūryodaya 05:14, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2050-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2050-06-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2050-06-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2050-06-13","x-default":"https://vidhyamitra.com/city/bareilly/2050-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T04:02:14.955Z","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":"2026-05-17T04:02:14.955Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T04:02:14.955Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}