{"id":"vidhyamitra:city-day:bareilly:1950-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/1950-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-07-13","date_display":"July 13, 1950 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":1950,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433475.770833,"kali_year":5052,"ahargana":1845010.2708,"sun":{"sidereal_longitude":86.6244,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":60.7046,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.0801,"elapsed_within_tithi_degrees":10.0801},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.7046,"elapsed_within_degrees":7.3712},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.329},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":1950,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433475.770833,"ahargana":1845010.2708,"kali_year":5052,"ayanamsa_lahiri":23.1619,"grahas":{"sun":{"sidereal_longitude":86.923088,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":61.926288,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":4.4052},"mars":{"sidereal_longitude":171.43688799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":89.83938799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.796388,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":55.94368800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":142.44808799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":342.477,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.477,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1950,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433475.770833,"kali_year":5052,"ahargana":1845010.2708,"sun":{"sidereal_longitude":86.6244,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":60.7046,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.0801,"elapsed_within_tithi_degrees":10.0801},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.7046,"elapsed_within_degrees":7.3712},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.329},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.405,"elongation":25.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.405,"opposition_distance":154.08}},"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":"05:23","sunsetLocal":"19:12","solarNoonLocal":"12:18","dayLengthHours":13.814162201071495,"dayLengthDisplay":"13 Hours 48 Mins 51 Secs","nightLengthDisplay":"10 Hours 11 Mins 09 Secs","moonriseLocal":"03:41","moonsetLocal":"17:35","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:45","startHours":14.020767422569946,"endHours":15.747537697703883,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:23","end":"07:07","startHours":5.386916046900263,"endHours":7.1136863220342,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:50","end":"10:34","startHours":8.840456597168137,"endHours":10.567226872302072,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.610220560483612,"endHours":9.070692633852662,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.962506138611575,"endHours":6.330883797306814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:45","startHours":11.83352507406696,"endHours":12.754469220805062,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5450277534240633,"endHours":4.465971900162163,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.235735863477638,"endHours":5.386916046900263,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:31","startHours":14.596357514281259,"endHours":15.517301661019358,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":19.00107824797176,"endHours":19.401078247971757,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:47","startHours":19.201078247971758,"endHours":19.77666833968307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.951078247971758,"endHours":20.701078247971758,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:45","startHours":23.83352507406696,"endHours":24.75446922080506,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:23","end":"07:07","startHours":5.386916046900263,"endHours":7.1136863220342,"quality":"auspicious"},{"name":"Roga","start":"07:07","end":"08:50","startHours":7.1136863220342,"endHours":8.840456597168137,"quality":"inauspicious"},{"name":"Udveg","start":"08:50","end":"10:34","startHours":8.840456597168137,"endHours":10.567226872302072,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"12:18","startHours":10.567226872302072,"endHours":12.29399714743601,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"14:01","startHours":12.29399714743601,"endHours":14.020767422569946,"quality":"auspicious"},{"name":"Amṛta","start":"14:01","end":"15:45","startHours":14.020767422569946,"endHours":15.747537697703883,"quality":"auspicious"},{"name":"Kāla","start":"15:45","end":"17:28","startHours":15.747537697703883,"endHours":17.47430797283782,"quality":"inauspicious"},{"name":"Śubha","start":"17:28","end":"19:12","startHours":17.47430797283782,"endHours":19.201078247971758,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:12","end":"20:28","startHours":19.201078247971758,"endHours":20.47430797283782,"quality":"auspicious"},{"name":"Kāla","start":"20:28","end":"21:45","startHours":20.47430797283782,"endHours":21.747537697703883,"quality":"inauspicious"},{"name":"Śubha","start":"21:45","end":"23:01","startHours":21.747537697703883,"endHours":23.020767422569946,"quality":"auspicious"},{"name":"Roga","start":"23:01","end":"00:18","startHours":23.020767422569946,"endHours":24.29399714743601,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"01:34","startHours":24.29399714743601,"endHours":25.567226872302072,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"02:50","startHours":25.567226872302072,"endHours":26.840456597168135,"quality":"neutral"},{"name":"Labha","start":"02:50","end":"04:07","startHours":26.840456597168135,"endHours":28.113686322034198,"quality":"auspicious"},{"name":"Amṛta","start":"04:07","end":"05:23","startHours":28.113686322034198,"endHours":29.38691604690026,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.386916046900263,"endHours":6.386916046900263,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.386916046900263,"endHours":7.386916046900263,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.386916046900263,"endHours":8.386916046900263,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.386916046900263,"endHours":9.386916046900263,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.386916046900263,"endHours":10.386916046900263,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.386916046900263,"endHours":11.386916046900263,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.386916046900263,"endHours":12.386916046900263,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.386916046900263,"endHours":13.386916046900263,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.386916046900263,"endHours":14.386916046900263,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.386916046900263,"endHours":15.386916046900263,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.386916046900263,"endHours":16.38691604690026,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.38691604690026,"endHours":17.38691604690026,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.38691604690026,"endHours":18.38691604690026,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.38691604690026,"endHours":19.38691604690026,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.38691604690026,"endHours":20.38691604690026,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.38691604690026,"endHours":21.38691604690026,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.38691604690026,"endHours":22.38691604690026,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.38691604690026,"endHours":23.38691604690026,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.38691604690026,"endHours":24.38691604690026,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.38691604690026,"endHours":25.38691604690026,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.38691604690026,"endHours":26.38691604690026,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.38691604690026,"endHours":27.38691604690026,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.38691604690026,"endHours":28.38691604690026,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.38691604690026,"endHours":29.38691604690026,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.934355895680273,"eotMinutes":-5.361428846160681,"ayanamsa":23.1619}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":[]},"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 July 13, 1950 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"July 13, 1950 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Trayodaśī, sūryodaya 05:23, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/1950-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/1950-07-13","sa":"https://sa.vidhyamitra.com/city/bareilly/1950-07-13","hi":"https://hi.vidhyamitra.com/city/bareilly/1950-07-13","x-default":"https://vidhyamitra.com/city/bareilly/1950-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T12:57:09.736Z","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":"2026-05-21T12:57:09.736Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T12:57:09.736Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}