{"id":"vidhyamitra:city-day:vrindavan:1850-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1850-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-07-20","date_display":"July 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396958.770833,"kali_year":4952,"ahargana":1808493.2708,"sun":{"sidereal_longitude":95.0348,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":227.0227,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.9879,"elapsed_within_tithi_degrees":11.9879},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.0227,"elapsed_within_degrees":0.356},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.0575},"karana":{"half_tithi_index":21,"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396958.770833,"ahargana":1808493.2708,"kali_year":4952,"ayanamsa_lahiri":21.7653,"grahas":{"sun":{"sidereal_longitude":95.15050600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":229.201906,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":4.2361},"mars":{"sidereal_longitude":138.77900599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":84.43280600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":149.890306,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":132.31680599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":0.8263059999999882,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":117.3234,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.3234,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396958.770833,"kali_year":4952,"ahargana":1808493.2708,"sun":{"sidereal_longitude":95.0348,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":227.0227,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.9879,"elapsed_within_tithi_degrees":11.9879},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.0227,"elapsed_within_degrees":0.356},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.0575},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.236,"elongation":131.988},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.236,"opposition_distance":48.012}},"eclipse_window_40days":[{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.079,"elongation":2.21}]},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.659619763416849,"dayLengthDisplay":"13 Hours 39 Mins 35 Secs","nightLengthDisplay":"10 Hours 20 Mins 25 Secs","moonriseLocal":"16:08","moonsetLocal":"02:36","rahuKala":{"name":"Rāhu Kāla","start":"09:00","end":"10:43","startHours":9.007712079398411,"endHours":10.715164549825516,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:50","startHours":14.13006949067973,"endHours":15.837521961106836,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:36","end":"07:18","startHours":5.592807138544199,"endHours":7.300259608971305,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.78005175000813,"endHours":9.235372408788692,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.161957962019901,"endHours":6.52621448904435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.967296361472062,"endHours":12.877937679033185,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.7715245034219524,"endHours":4.682165820983076,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:36","startHours":4.454505491592794,"endHours":5.592807138544199,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699220314155433,"endHours":15.609861631716557,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.05242690196105,"endHours":19.452426901961047,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.252426901961048,"endHours":19.82157772543675,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.002426901961048,"endHours":20.752426901961048,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.967296361472062,"endHours":24.877937679033185,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:36","end":"07:18","startHours":5.592807138544199,"endHours":7.300259608971305,"quality":"inauspicious"},{"name":"Śubha","start":"07:18","end":"09:00","startHours":7.300259608971305,"endHours":9.007712079398411,"quality":"auspicious"},{"name":"Roga","start":"09:00","end":"10:43","startHours":9.007712079398411,"endHours":10.715164549825516,"quality":"inauspicious"},{"name":"Udveg","start":"10:43","end":"12:25","startHours":10.715164549825516,"endHours":12.422617020252623,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.422617020252623,"endHours":14.13006949067973,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:50","startHours":14.13006949067973,"endHours":15.837521961106836,"quality":"auspicious"},{"name":"Amṛta","start":"15:50","end":"17:33","startHours":15.837521961106836,"endHours":17.54497443153394,"quality":"auspicious"},{"name":"Kāla","start":"17:33","end":"19:15","startHours":17.54497443153394,"endHours":19.252426901961048,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:15","end":"20:33","startHours":19.252426901961048,"endHours":20.54497443153394,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"21:50","startHours":20.54497443153394,"endHours":21.837521961106837,"quality":"auspicious"},{"name":"Kāla","start":"21:50","end":"23:08","startHours":21.837521961106837,"endHours":23.13006949067973,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.13006949067973,"endHours":24.422617020252623,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:43","startHours":24.422617020252623,"endHours":25.715164549825516,"quality":"inauspicious"},{"name":"Udveg","start":"01:43","end":"03:00","startHours":25.715164549825516,"endHours":27.00771207939841,"quality":"inauspicious"},{"name":"Chala","start":"03:00","end":"04:18","startHours":27.00771207939841,"endHours":28.300259608971306,"quality":"neutral"},{"name":"Labha","start":"04:18","end":"05:36","startHours":28.300259608971306,"endHours":29.5928071385442,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.592807138544199,"endHours":6.592807138544199,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.592807138544199,"endHours":7.592807138544199,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.592807138544199,"endHours":8.592807138544199,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.592807138544199,"endHours":9.592807138544199,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.592807138544199,"endHours":10.592807138544199,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.592807138544199,"endHours":11.592807138544199,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.592807138544199,"endHours":12.592807138544199,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.592807138544199,"endHours":13.592807138544199,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.592807138544199,"endHours":14.592807138544199,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.592807138544199,"endHours":15.592807138544199,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.592807138544199,"endHours":16.5928071385442,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.5928071385442,"endHours":17.5928071385442,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.5928071385442,"endHours":18.5928071385442,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.5928071385442,"endHours":19.5928071385442,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.5928071385442,"endHours":20.5928071385442,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.5928071385442,"endHours":21.5928071385442,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.5928071385442,"endHours":22.5928071385442,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.5928071385442,"endHours":23.5928071385442,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.5928071385442,"endHours":24.5928071385442,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.5928071385442,"endHours":25.5928071385442,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.5928071385442,"endHours":26.5928071385442,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.5928071385442,"endHours":27.5928071385442,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.5928071385442,"endHours":28.5928071385442,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.5928071385442,"endHours":29.5928071385442,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.771821870756117,"eotMinutes":-5.99422121515736,"ayanamsa":21.7653}},"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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Ekādaśī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"id":"devshayani-ekadashi","name":"Devśayanī Ekādaśī","name_sanskrit":"देवशयनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Bhagavān Viṣṇu enters yoga-nidrā; Cāturmāsya begins.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 20, 1850 CE · Vṛndāvana · Vidhyamitra","description":"July 20, 1850 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1850-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1850-07-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/1850-07-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/1850-07-20","x-default":"https://vidhyamitra.com/city/vrindavan/1850-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T02:02:41.957Z","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":"2026-06-04T02:02:41.957Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T02:02:41.957Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}