{"id":"vidhyamitra:city-day:vrindavan:1850-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1850-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-10-20","date_display":"October 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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397050.770833,"kali_year":4952,"ahargana":1808585.2708,"sun":{"sidereal_longitude":184.1797,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":350.3761,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.1963,"elapsed_within_tithi_degrees":10.1963},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3761,"elapsed_within_degrees":3.7094},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.5558},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2397050.770833,"ahargana":1808585.2708,"kali_year":4952,"ayanamsa_lahiri":21.7688,"grahas":{"sun":{"sidereal_longitude":184.53879099999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":351.514991,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-3.8121},"mars":{"sidereal_longitude":198.66709100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":169.40249100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":168.66059100000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":232.631391,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":356.881391,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":112.4488,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":292.4488,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397050.770833,"kali_year":4952,"ahargana":1808585.2708,"sun":{"sidereal_longitude":184.1797,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":350.3761,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.1963,"elapsed_within_tithi_degrees":10.1963},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3761,"elapsed_within_degrees":3.7094},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.5558},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.812,"elongation":166.196},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.812,"opposition_distance":13.804}},"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":"06:21","sunsetLocal":"17:46","solarNoonLocal":"12:04","dayLengthHours":11.412572026059358,"dayLengthDisplay":"11 Hours 24 Mins 45 Secs","nightLengthDisplay":"12 Hours 35 Mins 15 Secs","moonriseLocal":"16:58","moonsetLocal":"05:25","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"17:46","startHours":16.340813322368405,"endHours":17.767384825625825,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:29","startHours":12.061098812596146,"endHours":13.487670315853567,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:55","end":"16:20","startHours":14.914241819110986,"endHours":16.340813322368405,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.017746272313651,"endHours":9.398165339848962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.830336633985607,"endHours":7.134671888013857,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.680679745060834,"endHours":12.441517880131459,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.83313652942522,"endHours":5.5939746644958435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.403765130728187,"endHours":6.354812799566467,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:43","startHours":13.963194150272706,"endHours":14.72403228534333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.567384825625826,"endHours":17.967384825625825,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:15","startHours":17.767384825625825,"endHours":18.242908660044964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.517384825625825,"endHours":19.267384825625825,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.680679745060836,"endHours":24.441517880131457,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:21","end":"07:47","startHours":6.354812799566467,"endHours":7.781384302823887,"quality":"inauspicious"},{"name":"Chala","start":"07:47","end":"09:12","startHours":7.781384302823887,"endHours":9.207955806081307,"quality":"neutral"},{"name":"Labha","start":"09:12","end":"10:38","startHours":9.207955806081307,"endHours":10.634527309338726,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:04","startHours":10.634527309338726,"endHours":12.061098812596146,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:29","startHours":12.061098812596146,"endHours":13.487670315853567,"quality":"inauspicious"},{"name":"Śubha","start":"13:29","end":"14:55","startHours":13.487670315853567,"endHours":14.914241819110986,"quality":"auspicious"},{"name":"Roga","start":"14:55","end":"16:20","startHours":14.914241819110986,"endHours":16.340813322368405,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"17:46","startHours":16.340813322368405,"endHours":17.767384825625825,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:46","end":"19:20","startHours":17.767384825625825,"endHours":19.340813322368405,"quality":"auspicious"},{"name":"Roga","start":"19:20","end":"20:55","startHours":19.340813322368405,"endHours":20.914241819110984,"quality":"inauspicious"},{"name":"Udveg","start":"20:55","end":"22:29","startHours":20.914241819110984,"endHours":22.487670315853567,"quality":"inauspicious"},{"name":"Chala","start":"22:29","end":"00:04","startHours":22.487670315853567,"endHours":24.061098812596146,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:38","startHours":24.061098812596146,"endHours":25.634527309338726,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:12","startHours":25.634527309338726,"endHours":27.20795580608131,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:47","startHours":27.20795580608131,"endHours":28.781384302823888,"quality":"inauspicious"},{"name":"Śubha","start":"04:47","end":"06:21","startHours":28.781384302823888,"endHours":30.354812799566467,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.354812799566467,"endHours":7.354812799566467,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.354812799566467,"endHours":8.354812799566467,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.354812799566467,"endHours":9.354812799566467,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.354812799566467,"endHours":10.354812799566467,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.354812799566467,"endHours":11.354812799566467,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.354812799566467,"endHours":12.354812799566467,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.354812799566467,"endHours":13.354812799566467,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.354812799566467,"endHours":14.354812799566467,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.354812799566467,"endHours":15.354812799566467,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.354812799566467,"endHours":16.354812799566467,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.354812799566467,"endHours":17.354812799566467,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.354812799566467,"endHours":18.354812799566467,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.354812799566467,"endHours":19.354812799566467,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.354812799566467,"endHours":20.354812799566467,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.354812799566467,"endHours":21.354812799566467,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.354812799566467,"endHours":22.354812799566467,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.354812799566467,"endHours":23.354812799566467,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.354812799566467,"endHours":24.354812799566467,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.354812799566467,"endHours":25.354812799566467,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.354812799566467,"endHours":26.354812799566467,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.354812799566467,"endHours":27.354812799566467,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.354812799566467,"endHours":28.354812799566467,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.354812799566467,"endHours":29.354812799566467,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.354812799566467,"endHours":30.354812799566467,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.152632903577814,"eotMinutes":15.696871244231174,"ayanamsa":21.7688}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturdaśī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 October 20, 1850 CE · Vṛndāvana · Vidhyamitra","description":"October 20, 1850 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 06:21, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1850-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1850-10-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/1850-10-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/1850-10-20","x-default":"https://vidhyamitra.com/city/vrindavan/1850-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:14:24.808Z","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":"2026-06-02T21:14:24.808Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:14:24.808Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}