{"id":"vidhyamitra:city-day:vrindavan:1850-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1850-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-07-13","date_display":"July 13, 1850 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":1850,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396951.770833,"kali_year":4952,"ahargana":1808486.2708,"sun":{"sidereal_longitude":88.4008,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":134.1217,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.7208,"elapsed_within_tithi_degrees":9.7208},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.1217,"elapsed_within_degrees":0.7883},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.5225},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":1850,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396951.770833,"ahargana":1808486.2708,"kali_year":4952,"ayanamsa_lahiri":21.765,"grahas":{"sun":{"sidereal_longitude":88.47167300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":136.69467299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":1.2714},"mars":{"sidereal_longitude":134.50857299999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":71.95457299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":148.756373,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":124.01707299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":0.6133730000000241,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":117.6943,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.6943,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"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":1850,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396951.770833,"kali_year":4952,"ahargana":1808486.2708,"sun":{"sidereal_longitude":88.4008,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":134.1217,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.7208,"elapsed_within_tithi_degrees":9.7208},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.1217,"elapsed_within_degrees":0.7883},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.5225},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.271,"elongation":45.721},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.271,"opposition_distance":134.279}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:32","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.7544980707209,"dayLengthDisplay":"13 Hours 45 Mins 16 Secs","nightLengthDisplay":"10 Hours 14 Mins 44 Secs","moonriseLocal":"09:17","moonsetLocal":"21:58","rahuKala":{"name":"Rāhu Kāla","start":"08:58","end":"10:42","startHours":8.97344596308912,"endHours":10.692758221929232,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:51","startHours":14.131382739609457,"endHours":15.850694998449569,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:32","end":"07:15","startHours":5.534821445408894,"endHours":7.254133704249006,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.744204328577103,"endHours":9.202687597601134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.107925531688931,"endHours":6.474712146908155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953587211745313,"endHours":12.870553749793375,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.700888369312774,"endHours":4.617854907360834,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.3886132728488185,"endHours":5.534821445408894,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.704486825889493,"endHours":15.621453363937553,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.089319516129795,"endHours":19.489319516129793,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.289319516129794,"endHours":19.86242360240983,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.039319516129794,"endHours":20.789319516129794,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953587211745315,"endHours":24.870553749793373,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:32","end":"07:15","startHours":5.534821445408894,"endHours":7.254133704249006,"quality":"inauspicious"},{"name":"Śubha","start":"07:15","end":"08:58","startHours":7.254133704249006,"endHours":8.97344596308912,"quality":"auspicious"},{"name":"Roga","start":"08:58","end":"10:42","startHours":8.97344596308912,"endHours":10.692758221929232,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:25","startHours":10.692758221929232,"endHours":12.412070480769344,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.131382739609457,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:51","startHours":14.131382739609457,"endHours":15.850694998449569,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:34","startHours":15.850694998449569,"endHours":17.57000725728968,"quality":"auspicious"},{"name":"Kāla","start":"17:34","end":"19:17","startHours":17.57000725728968,"endHours":19.289319516129794,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:17","end":"20:34","startHours":19.289319516129794,"endHours":20.57000725728968,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"21:51","startHours":20.57000725728968,"endHours":21.85069499844957,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:08","startHours":21.85069499844957,"endHours":23.131382739609457,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.131382739609457,"endHours":24.412070480769344,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.692758221929232,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"02:58","startHours":25.692758221929232,"endHours":26.97344596308912,"quality":"inauspicious"},{"name":"Chala","start":"02:58","end":"04:15","startHours":26.97344596308912,"endHours":28.254133704249007,"quality":"neutral"},{"name":"Labha","start":"04:15","end":"05:32","startHours":28.254133704249007,"endHours":29.534821445408895,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.534821445408894,"endHours":6.534821445408894,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.534821445408894,"endHours":7.534821445408894,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.534821445408894,"endHours":8.534821445408895,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.534821445408895,"endHours":9.534821445408895,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.534821445408895,"endHours":10.534821445408895,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.534821445408895,"endHours":11.534821445408895,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.534821445408895,"endHours":12.534821445408895,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.534821445408895,"endHours":13.534821445408895,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.534821445408895,"endHours":14.534821445408895,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.534821445408895,"endHours":15.534821445408895,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.534821445408895,"endHours":16.534821445408895,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.534821445408895,"endHours":17.534821445408895,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.534821445408895,"endHours":18.534821445408895,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.534821445408895,"endHours":19.534821445408895,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.534821445408895,"endHours":20.534821445408895,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.534821445408895,"endHours":21.534821445408895,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.534821445408895,"endHours":22.534821445408895,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.534821445408895,"endHours":23.534821445408895,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.534821445408895,"endHours":24.534821445408895,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.534821445408895,"endHours":25.534821445408895,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.534821445408895,"endHours":26.534821445408895,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.534821445408895,"endHours":27.534821445408895,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.534821445408895,"endHours":28.534821445408895,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.534821445408895,"endHours":29.534821445408895,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.911941899133232,"eotMinutes":-5.361428846160681,"ayanamsa":21.765}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturthī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"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":"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":"vrindavan"},"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, 1850 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 1850 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1850-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1850-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1850-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1850-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/1850-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:54:33.402Z","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":"2026-06-02T19:54:33.402Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:54:33.402Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}