{"id":"vidhyamitra:city-day:phoenix:2015-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2015-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-10-16","date_display":"October 16, 2015 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":2015,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457311.770833,"kali_year":5117,"ahargana":1868846.2708,"sun":{"sidereal_longitude":177.5154,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":213.8163,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.301,"elapsed_within_tithi_degrees":0.301},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.8163,"elapsed_within_degrees":0.483},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":31.3317},"karana":{"half_tithi_index":6,"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":2015,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457311.770833,"ahargana":1868846.2708,"kali_year":5117,"ayanamsa_lahiri":24.0736,"grahas":{"sun":{"sidereal_longitude":178.28697699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":211.68527700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":3.6524},"mars":{"sidereal_longitude":138.751977,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":160.05067699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":139.01387699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":132.004077,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":218.105277,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":159.5311,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.5311,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457311.770833,"kali_year":5117,"ahargana":1868846.2708,"sun":{"sidereal_longitude":177.5154,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":213.8163,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.301,"elapsed_within_tithi_degrees":0.301},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.8163,"elapsed_within_degrees":0.483},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":31.3317},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.652,"elongation":36.301},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.652,"opposition_distance":143.699}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":0.154,"opposition_distance":1.236},{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":1.25,"elongation":1.29}]},"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":"06:32","sunsetLocal":"17:54","solarNoonLocal":"12:13","dayLengthHours":11.361422622862243,"dayLengthDisplay":"11 Hours 21 Mins 41 Secs","nightLengthDisplay":"12 Hours 38 Mins 19 Secs","moonriseLocal":"09:17","moonsetLocal":"19:37","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"12:13","startHours":10.800626679289202,"endHours":12.220804507146983,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:04","end":"16:29","startHours":15.061160162862542,"endHours":16.481337990720323,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:58","end":"09:23","startHours":7.960271023573641,"endHours":9.38044885143142,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.19109180771705,"endHours":9.569805895145793,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:19","startHours":7.013485805001788,"endHours":7.316457074944781,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:36","startHours":11.842090419718241,"endHours":12.599518594575725,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:02","end":"05:47","startHours":5.025236846000896,"endHours":5.782665020858378,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:32","startHours":5.593307977144008,"endHours":6.540093195715861,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:52","startHours":14.114374944290688,"endHours":14.87180311914817,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.701515818578105,"endHours":18.101515818578104,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:22","startHours":17.901515818578105,"endHours":18.374908427864032,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.651515818578105,"endHours":19.401515818578105,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:36","startHours":23.842090419718243,"endHours":24.599518594575724,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:58","startHours":6.540093195715861,"endHours":7.960271023573641,"quality":"neutral"},{"name":"Labha","start":"07:58","end":"09:23","startHours":7.960271023573641,"endHours":9.38044885143142,"quality":"auspicious"},{"name":"Amṛta","start":"09:23","end":"10:48","startHours":9.38044885143142,"endHours":10.800626679289202,"quality":"auspicious"},{"name":"Kāla","start":"10:48","end":"12:13","startHours":10.800626679289202,"endHours":12.220804507146983,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"13:38","startHours":12.220804507146983,"endHours":13.640982335004763,"quality":"auspicious"},{"name":"Roga","start":"13:38","end":"15:04","startHours":13.640982335004763,"endHours":15.061160162862542,"quality":"inauspicious"},{"name":"Udveg","start":"15:04","end":"16:29","startHours":15.061160162862542,"endHours":16.481337990720323,"quality":"inauspicious"},{"name":"Chala","start":"16:29","end":"17:54","startHours":16.481337990720323,"endHours":17.901515818578105,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:54","end":"19:29","startHours":17.901515818578105,"endHours":19.481337990720323,"quality":"inauspicious"},{"name":"Udveg","start":"19:29","end":"21:04","startHours":19.481337990720323,"endHours":21.061160162862542,"quality":"inauspicious"},{"name":"Chala","start":"21:04","end":"22:38","startHours":21.061160162862542,"endHours":22.640982335004765,"quality":"neutral"},{"name":"Labha","start":"22:38","end":"00:13","startHours":22.640982335004765,"endHours":24.220804507146983,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:48","startHours":24.220804507146983,"endHours":25.800626679289202,"quality":"auspicious"},{"name":"Kāla","start":"01:48","end":"03:23","startHours":25.800626679289202,"endHours":27.380448851431424,"quality":"inauspicious"},{"name":"Śubha","start":"03:23","end":"04:58","startHours":27.380448851431424,"endHours":28.960271023573643,"quality":"auspicious"},{"name":"Roga","start":"04:58","end":"06:32","startHours":28.960271023573643,"endHours":30.540093195715862,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.540093195715861,"endHours":7.540093195715861,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.540093195715861,"endHours":8.540093195715862,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.540093195715862,"endHours":9.540093195715862,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.540093195715862,"endHours":10.540093195715862,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.540093195715862,"endHours":11.540093195715862,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.540093195715862,"endHours":12.540093195715862,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.540093195715862,"endHours":13.540093195715862,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.540093195715862,"endHours":14.540093195715862,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.540093195715862,"endHours":15.540093195715862,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.540093195715862,"endHours":16.540093195715862,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.540093195715862,"endHours":17.540093195715862,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.540093195715862,"endHours":18.540093195715862,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.540093195715862,"endHours":19.540093195715862,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.540093195715862,"endHours":20.540093195715862,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.540093195715862,"endHours":21.540093195715862,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.540093195715862,"endHours":22.540093195715862,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.540093195715862,"endHours":23.540093195715862,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.540093195715862,"endHours":24.540093195715862,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.540093195715862,"endHours":25.540093195715862,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.540093195715862,"endHours":26.540093195715862,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.540093195715862,"endHours":27.540093195715862,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.540093195715862,"endHours":28.540093195715862,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.540093195715862,"endHours":29.540093195715862,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.540093195715862,"endHours":30.540093195715862,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.702909006288275,"eotMinutes":15.04772957118102,"ayanamsa":24.0736}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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 16, 2015 CE · Phoenix, USA · Vidhyamitra","description":"October 16, 2015 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 06:32, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2015-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2015-10-16","sa":"https://sa.vidhyamitra.com/city/phoenix/2015-10-16","hi":"https://hi.vidhyamitra.com/city/phoenix/2015-10-16","x-default":"https://vidhyamitra.com/city/phoenix/2015-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T08:20:13.879Z","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":"2026-05-15T08:20:13.879Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T08:20:13.879Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}