{"id":"vidhyamitra:city-day:phoenix:1950-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1950-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-01-13","date_display":"January 13, 1950 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":1950,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433294.770833,"kali_year":5051,"ahargana":1844829.2708,"sun":{"sidereal_longitude":269.1244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":201.2187,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.0943,"elapsed_within_tithi_degrees":4.0943},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.2187,"elapsed_within_degrees":1.2187},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.343},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1950,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433294.770833,"ahargana":1844829.2708,"kali_year":5051,"ayanamsa_lahiri":23.155,"grahas":{"sun":{"sidereal_longitude":269.13300300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":200.13700300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-2.1903},"mars":{"sidereal_longitude":163.70610299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":279.86440300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":287.2018029999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":296.13610300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":146.420903,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":352.0673,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.0673,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1950,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433294.770833,"kali_year":5051,"ahargana":1844829.2708,"sun":{"sidereal_longitude":269.1244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":201.2187,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.0943,"elapsed_within_tithi_degrees":4.0943},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.2187,"elapsed_within_degrees":1.2187},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.343},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.19,"elongation":67.906},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.19,"opposition_distance":112.094}},"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":"07:33","sunsetLocal":"17:41","solarNoonLocal":"12:37","dayLengthHours":10.12705106313823,"dayLengthDisplay":"10 Hours 07 Mins 37 Secs","nightLengthDisplay":"13 Hours 52 Mins 23 Secs","moonriseLocal":"02:41","moonsetLocal":"13:21","rahuKala":{"name":"Rāhu Kāla","start":"11:21","end":"12:37","startHours":11.349650808630614,"endHours":12.615532191522892,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:09","end":"16:25","startHours":15.14729495730745,"endHours":16.41317634019973,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:49","end":"10:05","startHours":8.817888042846056,"endHours":10.083769425738335,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.914985241352698,"endHours":10.252553610123972,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:15","startHours":7.97396712091787,"endHours":8.24402181593489,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"12:57","startHours":12.277963822751618,"endHours":12.953100560294166,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:12","end":"06:53","startHours":6.20173318486868,"endHours":6.876869922411228,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:42","end":"07:33","startHours":6.708085738025591,"endHours":7.552006659953777,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"14:59","startHours":14.303374035379264,"endHours":14.978510772921812,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.47905772309201,"endHours":17.879057723092007,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:06","startHours":17.679057723092008,"endHours":18.1010181840561,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.429057723092008,"endHours":19.179057723092008,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"00:57","startHours":24.277963822751616,"endHours":24.953100560294168,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:33","end":"08:49","startHours":7.552006659953777,"endHours":8.817888042846056,"quality":"neutral"},{"name":"Labha","start":"08:49","end":"10:05","startHours":8.817888042846056,"endHours":10.083769425738335,"quality":"auspicious"},{"name":"Amṛta","start":"10:05","end":"11:21","startHours":10.083769425738335,"endHours":11.349650808630614,"quality":"auspicious"},{"name":"Kāla","start":"11:21","end":"12:37","startHours":11.349650808630614,"endHours":12.615532191522892,"quality":"inauspicious"},{"name":"Śubha","start":"12:37","end":"13:53","startHours":12.615532191522892,"endHours":13.881413574415172,"quality":"auspicious"},{"name":"Roga","start":"13:53","end":"15:09","startHours":13.881413574415172,"endHours":15.14729495730745,"quality":"inauspicious"},{"name":"Udveg","start":"15:09","end":"16:25","startHours":15.14729495730745,"endHours":16.41317634019973,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:41","startHours":16.41317634019973,"endHours":17.679057723092008,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:41","end":"19:25","startHours":17.679057723092008,"endHours":19.41317634019973,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:09","startHours":19.41317634019973,"endHours":21.14729495730745,"quality":"inauspicious"},{"name":"Chala","start":"21:09","end":"22:53","startHours":21.14729495730745,"endHours":22.88141357441517,"quality":"neutral"},{"name":"Labha","start":"22:53","end":"00:37","startHours":22.88141357441517,"endHours":24.61553219152289,"quality":"auspicious"},{"name":"Amṛta","start":"00:37","end":"02:21","startHours":24.61553219152289,"endHours":26.349650808630614,"quality":"auspicious"},{"name":"Kāla","start":"02:21","end":"04:05","startHours":26.349650808630614,"endHours":28.083769425738335,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:49","startHours":28.083769425738335,"endHours":29.817888042846057,"quality":"auspicious"},{"name":"Roga","start":"05:49","end":"07:33","startHours":29.817888042846057,"endHours":31.552006659953776,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.552006659953777,"endHours":8.552006659953777,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.552006659953777,"endHours":9.552006659953777,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.552006659953777,"endHours":10.552006659953777,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.552006659953777,"endHours":11.552006659953777,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.552006659953777,"endHours":12.552006659953777,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.552006659953777,"endHours":13.552006659953777,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.552006659953777,"endHours":14.552006659953777,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.552006659953777,"endHours":15.552006659953777,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.552006659953777,"endHours":16.552006659953776,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.552006659953776,"endHours":17.552006659953776,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.552006659953776,"endHours":18.552006659953776,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.552006659953776,"endHours":19.552006659953776,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.552006659953776,"endHours":20.552006659953776,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.552006659953776,"endHours":21.552006659953776,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.552006659953776,"endHours":22.552006659953776,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.552006659953776,"endHours":23.552006659953776,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.552006659953776,"endHours":24.552006659953776,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.552006659953776,"endHours":25.552006659953776,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.552006659953776,"endHours":26.552006659953776,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.552006659953776,"endHours":27.552006659953776,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.552006659953776,"endHours":28.552006659953776,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.552006659953776,"endHours":29.552006659953776,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.552006659953776,"endHours":30.552006659953776,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.552006659953776,"endHours":31.552006659953776,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.59340516230792,"eotMinutes":-8.635931491373626,"ayanamsa":23.155}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Daśamī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 January 13, 1950 CE · Phoenix, USA · Vidhyamitra","description":"January 13, 1950 CE for Phoenix, USA: Kṛṣṇa Daśamī, sūryodaya 07:33, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1950-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1950-01-13","sa":"https://sa.vidhyamitra.com/city/phoenix/1950-01-13","hi":"https://hi.vidhyamitra.com/city/phoenix/1950-01-13","x-default":"https://vidhyamitra.com/city/phoenix/1950-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:40:39.698Z","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":"2026-06-01T18:40:39.698Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:40:39.698Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}