{"id":"vidhyamitra:city-day:phoenix:1850-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/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":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"06:36","sunsetLocal":"17:50","solarNoonLocal":"12:13","dayLengthHours":11.23021278790008,"dayLengthDisplay":"11 Hours 13 Mins 49 Secs","nightLengthDisplay":"12 Hours 46 Mins 11 Secs","moonriseLocal":"17:04","moonsetLocal":"05:37","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:50","startHours":16.42131527472534,"endHours":17.825091873212852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:37","startHours":12.209985479262812,"endHours":13.613762077750323,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:25","startHours":15.017538676237832,"endHours":16.42131527472534,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:35","startHours":9.215262069156125,"endHours":9.58960249541946,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:04","end":"07:22","startHours":7.062804618141943,"endHours":7.362276959152611,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:35","startHours":11.835645052999476,"endHours":12.584325905526148,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:51","startHours":5.097517380259429,"endHours":5.846198232786101,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:40","end":"06:36","startHours":5.659028019654433,"endHours":6.594879085312773,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:50","startHours":14.081687610579491,"endHours":14.830368463106163,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.625091873212853,"endHours":18.02509187321285,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:18","startHours":17.825091873212852,"endHours":18.293017406042022,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.575091873212852,"endHours":19.325091873212852,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:35","startHours":23.835645052999475,"endHours":24.58432590552615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:36","end":"08:00","startHours":6.594879085312773,"endHours":7.9986556838002825,"quality":"inauspicious"},{"name":"Chala","start":"08:00","end":"09:24","startHours":7.9986556838002825,"endHours":9.402432282287792,"quality":"neutral"},{"name":"Labha","start":"09:24","end":"10:48","startHours":9.402432282287792,"endHours":10.806208880775301,"quality":"auspicious"},{"name":"Amṛta","start":"10:48","end":"12:13","startHours":10.806208880775301,"endHours":12.209985479262812,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:37","startHours":12.209985479262812,"endHours":13.613762077750323,"quality":"inauspicious"},{"name":"Śubha","start":"13:37","end":"15:01","startHours":13.613762077750323,"endHours":15.017538676237832,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:25","startHours":15.017538676237832,"endHours":16.42131527472534,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:50","startHours":16.42131527472534,"endHours":17.825091873212852,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:50","end":"19:25","startHours":17.825091873212852,"endHours":19.42131527472534,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"21:01","startHours":19.42131527472534,"endHours":21.017538676237834,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:37","startHours":21.017538676237834,"endHours":22.613762077750323,"quality":"inauspicious"},{"name":"Chala","start":"22:37","end":"00:13","startHours":22.613762077750323,"endHours":24.209985479262812,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:48","startHours":24.209985479262812,"endHours":25.8062088807753,"quality":"auspicious"},{"name":"Amṛta","start":"01:48","end":"03:24","startHours":25.8062088807753,"endHours":27.40243228228779,"quality":"auspicious"},{"name":"Kāla","start":"03:24","end":"05:00","startHours":27.40243228228779,"endHours":28.998655683800283,"quality":"inauspicious"},{"name":"Śubha","start":"05:00","end":"06:36","startHours":28.998655683800283,"endHours":30.594879085312773,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.594879085312773,"endHours":7.594879085312773,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.594879085312773,"endHours":8.594879085312773,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.594879085312773,"endHours":9.594879085312773,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.594879085312773,"endHours":10.594879085312773,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.594879085312773,"endHours":11.594879085312773,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.594879085312773,"endHours":12.594879085312773,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.594879085312773,"endHours":13.594879085312773,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.594879085312773,"endHours":14.594879085312773,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.594879085312773,"endHours":15.594879085312773,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.594879085312773,"endHours":16.594879085312773,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.594879085312773,"endHours":17.594879085312773,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.594879085312773,"endHours":18.594879085312773,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.594879085312773,"endHours":19.594879085312773,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.594879085312773,"endHours":20.594879085312773,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.594879085312773,"endHours":21.594879085312773,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.594879085312773,"endHours":22.594879085312773,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.594879085312773,"endHours":23.594879085312773,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.594879085312773,"endHours":24.594879085312773,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.594879085312773,"endHours":25.594879085312773,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.594879085312773,"endHours":26.594879085312773,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.594879085312773,"endHours":27.594879085312773,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.594879085312773,"endHours":28.594879085312773,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.594879085312773,"endHours":29.594879085312773,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.594879085312773,"endHours":30.594879085312773,"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":"phoenix"},"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 · Phoenix, USA · Vidhyamitra","description":"October 20, 1850 CE for Phoenix, USA: Śukla Caturdaśī, sūryodaya 06:36, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1850-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1850-10-20","sa":"https://sa.vidhyamitra.com/city/phoenix/1850-10-20","hi":"https://hi.vidhyamitra.com/city/phoenix/1850-10-20","x-default":"https://vidhyamitra.com/city/phoenix/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":"2026-06-03T09:40:03.476Z","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":"2026-06-03T09:40:03.476Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:40:03.476Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}