{"id":"vidhyamitra:city-day:phoenix:2015-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2015-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-10-15","date_display":"October 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457310.770833,"kali_year":5117,"ahargana":1868845.2708,"sun":{"sidereal_longitude":176.5226,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":201.1325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.6098,"elapsed_within_tithi_degrees":0.6098},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.1325,"elapsed_within_degrees":1.1325},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.6551},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2015,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457310.770833,"ahargana":1868845.2708,"kali_year":5117,"ayanamsa_lahiri":24.0735,"grahas":{"sun":{"sidereal_longitude":177.29591600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":199.569116,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":2.9829},"mars":{"sidereal_longitude":138.135516,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":159.12961599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":138.821916,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":131.10101600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":218.00611600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":159.584,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.584,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457310.770833,"kali_year":5117,"ahargana":1868845.2708,"sun":{"sidereal_longitude":176.5226,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":201.1325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.6098,"elapsed_within_tithi_degrees":0.6098},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.1325,"elapsed_within_degrees":1.1325},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.6551},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.983,"elongation":24.61},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.983,"opposition_distance":155.39}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":0.154,"opposition_distance":1.236},{"offset_days":-2,"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":"17:55","solarNoonLocal":"12:13","dayLengthHours":11.394717235550537,"dayLengthDisplay":"11 Hours 23 Mins 41 Secs","nightLengthDisplay":"12 Hours 36 Mins 19 Secs","moonriseLocal":"08:23","moonsetLocal":"19:02","rahuKala":{"name":"Rāhu Kāla","start":"13:39","end":"15:04","startHours":13.648325814922014,"endHours":15.07266546936583,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:32","end":"07:57","startHours":6.526627542702928,"endHours":7.9509671971467455,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:23","end":"10:48","startHours":9.375306851590562,"endHours":10.79964650603438,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.18539489766472,"endHours":9.565218805516405,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:18","startHours":7.001407427517534,"endHours":7.305266553798882,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:36","startHours":11.844162252626512,"endHours":12.603810068329883,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:46","startHours":5.00733191129619,"endHours":5.766979726999559,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:32","startHours":5.577067773073717,"endHours":6.526627542702928,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:53","startHours":14.12310569973662,"endHours":14.882753515439989,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.721344778253467,"endHours":18.121344778253466,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:24","startHours":17.921344778253467,"endHours":18.396124663068072,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.671344778253467,"endHours":19.421344778253467,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:36","startHours":23.844162252626514,"endHours":24.60381006832988,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:32","end":"07:57","startHours":6.526627542702928,"endHours":7.9509671971467455,"quality":"auspicious"},{"name":"Roga","start":"07:57","end":"09:23","startHours":7.9509671971467455,"endHours":9.375306851590562,"quality":"inauspicious"},{"name":"Udveg","start":"09:23","end":"10:48","startHours":9.375306851590562,"endHours":10.79964650603438,"quality":"inauspicious"},{"name":"Chala","start":"10:48","end":"12:13","startHours":10.79964650603438,"endHours":12.223986160478198,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"13:39","startHours":12.223986160478198,"endHours":13.648325814922014,"quality":"auspicious"},{"name":"Amṛta","start":"13:39","end":"15:04","startHours":13.648325814922014,"endHours":15.07266546936583,"quality":"auspicious"},{"name":"Kāla","start":"15:04","end":"16:30","startHours":15.07266546936583,"endHours":16.49700512380965,"quality":"inauspicious"},{"name":"Śubha","start":"16:30","end":"17:55","startHours":16.49700512380965,"endHours":17.921344778253467,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:55","end":"19:30","startHours":17.921344778253467,"endHours":19.49700512380965,"quality":"auspicious"},{"name":"Kāla","start":"19:30","end":"21:04","startHours":19.49700512380965,"endHours":21.07266546936583,"quality":"inauspicious"},{"name":"Śubha","start":"21:04","end":"22:39","startHours":21.07266546936583,"endHours":22.648325814922014,"quality":"auspicious"},{"name":"Roga","start":"22:39","end":"00:13","startHours":22.648325814922014,"endHours":24.223986160478198,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:48","startHours":24.223986160478198,"endHours":25.79964650603438,"quality":"inauspicious"},{"name":"Chala","start":"01:48","end":"03:23","startHours":25.79964650603438,"endHours":27.375306851590565,"quality":"neutral"},{"name":"Labha","start":"03:23","end":"04:57","startHours":27.375306851590565,"endHours":28.950967197146745,"quality":"auspicious"},{"name":"Amṛta","start":"04:57","end":"06:32","startHours":28.950967197146745,"endHours":30.52662754270293,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.526627542702928,"endHours":7.526627542702928,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.526627542702928,"endHours":8.52662754270293,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.52662754270293,"endHours":9.52662754270293,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.52662754270293,"endHours":10.52662754270293,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.52662754270293,"endHours":11.52662754270293,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.52662754270293,"endHours":12.52662754270293,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.52662754270293,"endHours":13.52662754270293,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.52662754270293,"endHours":14.52662754270293,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.52662754270293,"endHours":15.52662754270293,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.52662754270293,"endHours":16.52662754270293,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.52662754270293,"endHours":17.52662754270293,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.52662754270293,"endHours":18.52662754270293,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.52662754270293,"endHours":19.52662754270293,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.52662754270293,"endHours":20.52662754270293,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.52662754270293,"endHours":21.52662754270293,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.52662754270293,"endHours":22.52662754270293,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.52662754270293,"endHours":23.52662754270293,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.52662754270293,"endHours":24.52662754270293,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.52662754270293,"endHours":25.52662754270293,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.52662754270293,"endHours":26.52662754270293,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.52662754270293,"endHours":27.52662754270293,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.52662754270293,"endHours":28.52662754270293,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.52662754270293,"endHours":29.52662754270293,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.52662754270293,"endHours":30.52662754270293,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"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":-8.332973877883381,"eotMinutes":14.85683037130801,"ayanamsa":24.0735}},"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 Tṛtīyā · 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}],"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":[{"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 October 15, 2015 CE · Phoenix, USA · Vidhyamitra","description":"October 15, 2015 CE for Phoenix, USA: Śukla Tṛtīyā, sūryodaya 06:32, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2015-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2015-10-15","sa":"https://sa.vidhyamitra.com/city/phoenix/2015-10-15","hi":"https://hi.vidhyamitra.com/city/phoenix/2015-10-15","x-default":"https://vidhyamitra.com/city/phoenix/2015-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:02:11.389Z","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":"2026-05-15T13:02:11.389Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:02:11.389Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}