{"id":"vidhyamitra:city-day:bareilly:2040-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2040-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-06-13","date_display":"June 13, 2040 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":2040,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466318.770833,"kali_year":5142,"ahargana":1877853.2708,"sun":{"sidereal_longitude":57.9425,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.459,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5165,"elapsed_within_tithi_degrees":3.5165},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.459,"elapsed_within_degrees":4.1257},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4015},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2040,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466318.770833,"ahargana":1877853.2708,"kali_year":5142,"ayanamsa_lahiri":24.418,"grahas":{"sun":{"sidereal_longitude":58.24724400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":94.13284399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.6922},"mars":{"sidereal_longitude":117.45064400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":74.682344,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":147.818444,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":61.201144,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.09994400000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.2968,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.2968,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":2040,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466318.770833,"kali_year":5142,"ahargana":1877853.2708,"sun":{"sidereal_longitude":57.9425,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.459,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5165,"elapsed_within_tithi_degrees":3.5165},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.459,"elapsed_within_degrees":4.1257},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4015},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.692,"elongation":39.517},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.692,"opposition_distance":140.483}},"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":13.928579191385296,"dayLengthDisplay":"13 Hours 55 Mins 43 Secs","nightLengthDisplay":"10 Hours 04 Mins 17 Secs","moonriseLocal":"07:46","moonsetLocal":"21:25","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:57","startHours":12.20105367335665,"endHours":13.942126072279812,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:59","end":"08:43","startHours":6.977836476587164,"endHours":8.718908875510326,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:28","end":"12:12","startHours":10.459981274433488,"endHours":12.20105367335665,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:57","startHours":8.486765888987238,"endHours":8.951051862033415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.817121543971723,"endHours":6.188550322408664,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:40","startHours":11.736767700310473,"endHours":12.665339646402828,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:18","startHours":3.379620185479296,"endHours":4.30819213157165,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:14","startHours":4.076049145048561,"endHours":5.236764077664002,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:27","startHours":14.522483538587533,"endHours":15.451055484679886,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.9653432690493,"endHours":19.365343269049298,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:45","startHours":19.1653432690493,"endHours":19.74570073535702,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.9153432690493,"endHours":20.6653432690493,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:40","startHours":23.736767700310473,"endHours":24.665339646402828,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:14","end":"06:59","startHours":5.236764077664002,"endHours":6.977836476587164,"quality":"auspicious"},{"name":"Amṛta","start":"06:59","end":"08:43","startHours":6.977836476587164,"endHours":8.718908875510326,"quality":"auspicious"},{"name":"Kāla","start":"08:43","end":"10:28","startHours":8.718908875510326,"endHours":10.459981274433488,"quality":"inauspicious"},{"name":"Śubha","start":"10:28","end":"12:12","startHours":10.459981274433488,"endHours":12.20105367335665,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:57","startHours":12.20105367335665,"endHours":13.942126072279812,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:41","startHours":13.942126072279812,"endHours":15.683198471202974,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:25","startHours":15.683198471202974,"endHours":17.424270870126136,"quality":"neutral"},{"name":"Labha","start":"17:25","end":"19:10","startHours":17.424270870126136,"endHours":19.1653432690493,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:10","end":"20:25","startHours":19.1653432690493,"endHours":20.424270870126136,"quality":"inauspicious"},{"name":"Chala","start":"20:25","end":"21:41","startHours":20.424270870126136,"endHours":21.683198471202974,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"22:57","startHours":21.683198471202974,"endHours":22.942126072279812,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:12","startHours":22.942126072279812,"endHours":24.20105367335665,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:28","startHours":24.20105367335665,"endHours":25.45998127443349,"quality":"inauspicious"},{"name":"Śubha","start":"01:28","end":"02:43","startHours":25.45998127443349,"endHours":26.718908875510326,"quality":"auspicious"},{"name":"Roga","start":"02:43","end":"03:59","startHours":26.718908875510326,"endHours":27.977836476587164,"quality":"inauspicious"},{"name":"Udveg","start":"03:59","end":"05:14","startHours":27.977836476587164,"endHours":29.236764077664002,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.236764077664002,"endHours":6.236764077664002,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.236764077664002,"endHours":7.236764077664002,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.236764077664002,"endHours":8.236764077664002,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.236764077664002,"endHours":9.236764077664002,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.236764077664002,"endHours":10.236764077664002,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.236764077664002,"endHours":11.236764077664002,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.236764077664002,"endHours":12.236764077664002,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.236764077664002,"endHours":13.236764077664002,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.236764077664002,"endHours":14.236764077664002,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.236764077664002,"endHours":15.236764077664002,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.236764077664002,"endHours":16.236764077664002,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.236764077664002,"endHours":17.236764077664002,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.236764077664002,"endHours":18.236764077664002,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.236764077664002,"endHours":19.236764077664002,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.236764077664002,"endHours":20.236764077664002,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.236764077664002,"endHours":21.236764077664002,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.236764077664002,"endHours":22.236764077664002,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.236764077664002,"endHours":23.236764077664002,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.236764077664002,"endHours":24.236764077664002,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.236764077664002,"endHours":25.236764077664002,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.236764077664002,"endHours":26.236764077664002,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.236764077664002,"endHours":27.236764077664002,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.236764077664002,"endHours":28.236764077664002,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.236764077664002,"endHours":29.236764077664002,"planetary_lord":"Sun"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"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":23.23341530231277,"eotMinutes":0.2151795986009022,"ayanamsa":24.418}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2040 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"June 13, 2040 CE for Bareilly, Uttar Pradesh: Śukla Caturthī, sūryodaya 05:14, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2040-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2040-06-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2040-06-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2040-06-13","x-default":"https://vidhyamitra.com/city/bareilly/2040-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T21:34:00.049Z","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":"2026-05-15T21:34:00.049Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T21:34:00.049Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}