{"id":"vidhyamitra:city-day:phoenix:1865-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1865-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-07-20","date_display":"July 20, 1865 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":1865,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402437.770833,"kali_year":4967,"ahargana":1813972.2708,"sun":{"sidereal_longitude":95.1473,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.3851,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.2378,"elapsed_within_tithi_degrees":3.2378},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.3851,"elapsed_within_degrees":9.0518},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.5325},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1865,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402437.770833,"ahargana":1813972.2708,"kali_year":4967,"ayanamsa_lahiri":21.9748,"grahas":{"sun":{"sidereal_longitude":95.29936800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":61.57426800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-3.7013},"mars":{"sidereal_longitude":133.801868,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":115.69336800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":240.61706800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"venus":{"sidereal_longitude":51.48566800000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":183.06696799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":187.0196,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.0196,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"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":1865,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402437.770833,"kali_year":4967,"ahargana":1813972.2708,"sun":{"sidereal_longitude":95.1473,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.3851,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.2378,"elapsed_within_tithi_degrees":3.2378},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.3851,"elapsed_within_degrees":9.0518},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.5325},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.701,"elongation":32.762},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.701,"opposition_distance":147.238}},"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":"05:32","sunsetLocal":"19:37","solarNoonLocal":"12:34","dayLengthHours":14.074884449456214,"dayLengthDisplay":"14 Hours 04 Mins 30 Secs","nightLengthDisplay":"9 Hours 55 Mins 30 Secs","moonriseLocal":"03:10","moonsetLocal":"17:29","rahuKala":{"name":"Rāhu Kāla","start":"14:20","end":"16:05","startHours":14.330864243101317,"endHours":16.09022479928334,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:32","end":"07:18","startHours":5.534061462191183,"endHours":7.293422018373209,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:49","startHours":9.052782574555236,"endHours":10.812143130737262,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:17","startHours":8.818201167064299,"endHours":9.287363982046173,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:30","startHours":6.120514980918525,"endHours":6.495845232904024,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"13:02","startHours":12.102340871937416,"endHours":13.040666501901162,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:36","startHours":3.657410202263687,"endHours":4.595735832227435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:32","startHours":4.361154424736498,"endHours":5.534061462191183,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:51","startHours":14.917317761828658,"endHours":15.855643391792405,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:25","end":"19:49","startHours":19.408945911647397,"endHours":19.808945911647395,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:37","end":"20:12","startHours":19.608945911647396,"endHours":20.19539943037474,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:22","end":"21:07","startHours":19.358945911647396,"endHours":21.108945911647396,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"01:02","startHours":24.102340871937415,"endHours":25.040666501901164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:32","end":"07:18","startHours":5.534061462191183,"endHours":7.293422018373209,"quality":"auspicious"},{"name":"Roga","start":"07:18","end":"09:03","startHours":7.293422018373209,"endHours":9.052782574555236,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:49","startHours":9.052782574555236,"endHours":10.812143130737262,"quality":"inauspicious"},{"name":"Chala","start":"10:49","end":"12:34","startHours":10.812143130737262,"endHours":12.57150368691929,"quality":"neutral"},{"name":"Labha","start":"12:34","end":"14:20","startHours":12.57150368691929,"endHours":14.330864243101317,"quality":"auspicious"},{"name":"Amṛta","start":"14:20","end":"16:05","startHours":14.330864243101317,"endHours":16.09022479928334,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:51","startHours":16.09022479928334,"endHours":17.84958535546537,"quality":"inauspicious"},{"name":"Śubha","start":"17:51","end":"19:37","startHours":17.84958535546537,"endHours":19.608945911647396,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:37","end":"20:51","startHours":19.608945911647396,"endHours":20.84958535546537,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:05","startHours":20.84958535546537,"endHours":22.09022479928334,"quality":"inauspicious"},{"name":"Śubha","start":"22:05","end":"23:20","startHours":22.09022479928334,"endHours":23.330864243101317,"quality":"auspicious"},{"name":"Roga","start":"23:20","end":"00:34","startHours":23.330864243101317,"endHours":24.57150368691929,"quality":"inauspicious"},{"name":"Udveg","start":"00:34","end":"01:49","startHours":24.57150368691929,"endHours":25.81214313073726,"quality":"inauspicious"},{"name":"Chala","start":"01:49","end":"03:03","startHours":25.81214313073726,"endHours":27.052782574555238,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:18","startHours":27.052782574555238,"endHours":28.29342201837321,"quality":"auspicious"},{"name":"Amṛta","start":"04:18","end":"05:32","startHours":28.29342201837321,"endHours":29.534061462191183,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.534061462191183,"endHours":6.534061462191183,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.534061462191183,"endHours":7.534061462191183,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.534061462191183,"endHours":8.534061462191183,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.534061462191183,"endHours":9.534061462191183,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.534061462191183,"endHours":10.534061462191183,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.534061462191183,"endHours":11.534061462191183,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.534061462191183,"endHours":12.534061462191183,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.534061462191183,"endHours":13.534061462191183,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.534061462191183,"endHours":14.534061462191183,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.534061462191183,"endHours":15.534061462191183,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.534061462191183,"endHours":16.534061462191183,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.534061462191183,"endHours":17.534061462191183,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.534061462191183,"endHours":18.534061462191183,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.534061462191183,"endHours":19.534061462191183,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.534061462191183,"endHours":20.534061462191183,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.534061462191183,"endHours":21.534061462191183,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.534061462191183,"endHours":22.534061462191183,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.534061462191183,"endHours":23.534061462191183,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.534061462191183,"endHours":24.534061462191183,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.534061462191183,"endHours":25.534061462191183,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.534061462191183,"endHours":26.534061462191183,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.534061462191183,"endHours":27.534061462191183,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.534061462191183,"endHours":28.534061462191183,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.534061462191183,"endHours":29.534061462191183,"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"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.702406149706498,"eotMinutes":-5.99422121515736,"ayanamsa":21.9748}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[{"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":"phoenix"},"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, 1865 CE · Phoenix, USA · Vidhyamitra","description":"July 20, 1865 CE for Phoenix, USA: Kṛṣṇa Trayodaśī, sūryodaya 05:32, sūryāsta 19:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1865-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1865-07-20","sa":"https://sa.vidhyamitra.com/city/phoenix/1865-07-20","hi":"https://hi.vidhyamitra.com/city/phoenix/1865-07-20","x-default":"https://vidhyamitra.com/city/phoenix/1865-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:47:13.500Z","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":"2026-06-02T10:47:13.500Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:47:13.500Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}