{"id":"vidhyamitra:city-day:phoenix:1902-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1902-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-10-15","date_display":"October 15, 1902 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":1902,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416037.770833,"kali_year":5004,"ahargana":1827572.2708,"sun":{"sidereal_longitude":177.7532,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":329.0482,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.295,"elapsed_within_tithi_degrees":7.295},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.0482,"elapsed_within_degrees":9.0482},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.8014},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1902,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416037.770833,"ahargana":1827572.2708,"kali_year":5004,"ayanamsa_lahiri":22.495,"grahas":{"sun":{"sidereal_longitude":178.25204800000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":329.84524799999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.73},"mars":{"sidereal_longitude":123.633848,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":190.07774799999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":286.49754800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":168.29864799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":270.273548,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":186.4262,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.4262,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1902,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416037.770833,"kali_year":5004,"ahargana":1827572.2708,"sun":{"sidereal_longitude":177.7532,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":329.0482,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.295,"elapsed_within_tithi_degrees":7.295},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.0482,"elapsed_within_degrees":9.0482},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.8014},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.73,"elongation":151.295},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.73,"opposition_distance":28.705}},"eclipse_window_40days":[{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":0.486,"elongation":1.952}]},"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":"06:31","sunsetLocal":"17:56","solarNoonLocal":"12:13","dayLengthHours":11.4156878266865,"dayLengthDisplay":"11 Hours 24 Mins 56 Secs","nightLengthDisplay":"12 Hours 35 Mins 04 Secs","moonriseLocal":"16:25","moonsetLocal":"04:15","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:39","startHours":12.223986160478198,"endHours":13.650947138814011,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:57","end":"09:22","startHours":7.943103225470761,"endHours":9.370064203806574,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:48","end":"12:13","startHours":10.797025182142386,"endHours":12.223986160478198,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.179802740028466,"endHours":9.560325667584681,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:18","startHours":6.9917959065802195,"endHours":7.296214248625193,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:36","startHours":11.843463232921982,"endHours":12.604509088034414,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:45","startHours":4.994050536910081,"endHours":5.755096392022515,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:31","startHours":5.564834928244407,"endHours":6.516142247134948,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:53","startHours":14.126600798259282,"endHours":14.887646653371716,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.73183007382145,"endHours":18.131830073821448,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:24","startHours":17.93183007382145,"endHours":18.40748373326672,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.68183007382145,"endHours":19.43183007382145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:36","startHours":23.84346323292198,"endHours":24.604509088034415,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:31","end":"07:57","startHours":6.516142247134948,"endHours":7.943103225470761,"quality":"auspicious"},{"name":"Amṛta","start":"07:57","end":"09:22","startHours":7.943103225470761,"endHours":9.370064203806574,"quality":"auspicious"},{"name":"Kāla","start":"09:22","end":"10:48","startHours":9.370064203806574,"endHours":10.797025182142386,"quality":"inauspicious"},{"name":"Śubha","start":"10:48","end":"12:13","startHours":10.797025182142386,"endHours":12.223986160478198,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:39","startHours":12.223986160478198,"endHours":13.650947138814011,"quality":"inauspicious"},{"name":"Udveg","start":"13:39","end":"15:05","startHours":13.650947138814011,"endHours":15.077908117149825,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:30","startHours":15.077908117149825,"endHours":16.504869095485635,"quality":"neutral"},{"name":"Labha","start":"16:30","end":"17:56","startHours":16.504869095485635,"endHours":17.93183007382145,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:56","end":"19:30","startHours":17.93183007382145,"endHours":19.504869095485635,"quality":"inauspicious"},{"name":"Chala","start":"19:30","end":"21:05","startHours":19.504869095485635,"endHours":21.077908117149825,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:39","startHours":21.077908117149825,"endHours":22.65094713881401,"quality":"auspicious"},{"name":"Amṛta","start":"22:39","end":"00:13","startHours":22.65094713881401,"endHours":24.223986160478198,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:48","startHours":24.223986160478198,"endHours":25.797025182142384,"quality":"inauspicious"},{"name":"Śubha","start":"01:48","end":"03:22","startHours":25.797025182142384,"endHours":27.37006420380657,"quality":"auspicious"},{"name":"Roga","start":"03:22","end":"04:57","startHours":27.37006420380657,"endHours":28.94310322547076,"quality":"inauspicious"},{"name":"Udveg","start":"04:57","end":"06:31","startHours":28.94310322547076,"endHours":30.516142247134947,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.516142247134948,"endHours":7.516142247134948,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.516142247134948,"endHours":8.516142247134947,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.516142247134947,"endHours":9.516142247134947,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.516142247134947,"endHours":10.516142247134947,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.516142247134947,"endHours":11.516142247134947,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.516142247134947,"endHours":12.516142247134947,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.516142247134947,"endHours":13.516142247134947,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.516142247134947,"endHours":14.516142247134947,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.516142247134947,"endHours":15.516142247134947,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.516142247134947,"endHours":16.516142247134947,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.516142247134947,"endHours":17.516142247134947,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.516142247134947,"endHours":18.516142247134947,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.516142247134947,"endHours":19.516142247134947,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.516142247134947,"endHours":20.516142247134947,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.516142247134947,"endHours":21.516142247134947,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.516142247134947,"endHours":22.516142247134947,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.516142247134947,"endHours":23.516142247134947,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.516142247134947,"endHours":24.516142247134947,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.516142247134947,"endHours":25.516142247134947,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.516142247134947,"endHours":26.516142247134947,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.516142247134947,"endHours":27.516142247134947,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.516142247134947,"endHours":28.516142247134947,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.516142247134947,"endHours":29.516142247134947,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.516142247134947,"endHours":30.516142247134947,"planetary_lord":"Sun"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.099574723993289,"eotMinutes":14.85683037130801,"ayanamsa":22.495}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 15, 1902 CE · Phoenix, USA · Vidhyamitra","description":"October 15, 1902 CE for Phoenix, USA: Śukla Trayodaśī, sūryodaya 06:31, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1902-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1902-10-15","sa":"https://sa.vidhyamitra.com/city/phoenix/1902-10-15","hi":"https://hi.vidhyamitra.com/city/phoenix/1902-10-15","x-default":"https://vidhyamitra.com/city/phoenix/1902-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:19:46.094Z","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":"2026-06-01T07:19:46.094Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:19:46.094Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}