{"id":"vidhyamitra:city-day:phoenix:2169-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2169-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-05-01","date_display":"May 1, 2169 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":2169,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513391.770833,"kali_year":5271,"ahargana":1924926.2708,"sun":{"sidereal_longitude":14.5438,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":62.5498,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.006,"elapsed_within_tithi_degrees":0.006},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.5498,"elapsed_within_degrees":9.2165},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.0936},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2169,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513391.770833,"ahargana":1924926.2708,"kali_year":5271,"ayanamsa_lahiri":26.2184,"grahas":{"sun":{"sidereal_longitude":14.868808999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":63.414108999999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-0.4381},"mars":{"sidereal_longitude":356.133809,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":346.339809,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":100.72440899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":326.614909,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":295.617709,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":68.1428,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.1428,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513391.770833,"kali_year":5271,"ahargana":1924926.2708,"sun":{"sidereal_longitude":14.5438,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":62.5498,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.006,"elapsed_within_tithi_degrees":0.006},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.5498,"elapsed_within_degrees":9.2165},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.0936},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.438,"elongation":48.006},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.438,"opposition_distance":131.994}},"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":"05:40","sunsetLocal":"19:11","solarNoonLocal":"12:25","dayLengthHours":13.514446197303755,"dayLengthDisplay":"13 Hours 30 Mins 52 Secs","nightLengthDisplay":"10 Hours 29 Mins 08 Secs","moonriseLocal":"08:30","moonsetLocal":"22:49","rahuKala":{"name":"Rāhu Kāla","start":"07:21","end":"09:03","startHours":7.3550492205283104,"endHours":9.04435499519128,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:44","end":"12:25","startHours":10.73366076985425,"endHours":12.42296654451722,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:48","startHours":14.112272319180189,"endHours":15.801578093843158,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:16","startHours":8.819114225236216,"endHours":9.269595765146342,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.228845370752998,"endHours":6.589230602681098,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972485004607094,"endHours":12.873448084427345,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:46","startHours":3.8638172862248403,"endHours":4.764780366045091,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:40","startHours":4.539539596090028,"endHours":5.665743445865341,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:35","startHours":14.675374244067847,"endHours":15.576337323888097,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.980189643169098,"endHours":19.380189643169096,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.180189643169097,"endHours":19.743291568056755,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.930189643169097,"endHours":20.680189643169097,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972485004607094,"endHours":24.873448084427345,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:40","end":"07:21","startHours":5.665743445865341,"endHours":7.3550492205283104,"quality":"auspicious"},{"name":"Kāla","start":"07:21","end":"09:03","startHours":7.3550492205283104,"endHours":9.04435499519128,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:44","startHours":9.04435499519128,"endHours":10.73366076985425,"quality":"auspicious"},{"name":"Roga","start":"10:44","end":"12:25","startHours":10.73366076985425,"endHours":12.42296654451722,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:07","startHours":12.42296654451722,"endHours":14.112272319180189,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:48","startHours":14.112272319180189,"endHours":15.801578093843158,"quality":"neutral"},{"name":"Labha","start":"15:48","end":"17:29","startHours":15.801578093843158,"endHours":17.490883868506128,"quality":"auspicious"},{"name":"Amṛta","start":"17:29","end":"19:11","startHours":17.490883868506128,"endHours":19.180189643169097,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:11","end":"20:29","startHours":19.180189643169097,"endHours":20.490883868506128,"quality":"neutral"},{"name":"Labha","start":"20:29","end":"21:48","startHours":20.490883868506128,"endHours":21.80157809384316,"quality":"auspicious"},{"name":"Amṛta","start":"21:48","end":"23:07","startHours":21.80157809384316,"endHours":23.11227231918019,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:25","startHours":23.11227231918019,"endHours":24.42296654451722,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:44","startHours":24.42296654451722,"endHours":25.73366076985425,"quality":"auspicious"},{"name":"Roga","start":"01:44","end":"03:03","startHours":25.73366076985425,"endHours":27.04435499519128,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:21","startHours":27.04435499519128,"endHours":28.35504922052831,"quality":"inauspicious"},{"name":"Chala","start":"04:21","end":"05:40","startHours":28.35504922052831,"endHours":29.665743445865342,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.665743445865341,"endHours":6.665743445865341,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.665743445865341,"endHours":7.665743445865341,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.665743445865341,"endHours":8.665743445865342,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.665743445865342,"endHours":9.665743445865342,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.665743445865342,"endHours":10.665743445865342,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.665743445865342,"endHours":11.665743445865342,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.665743445865342,"endHours":12.665743445865342,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.665743445865342,"endHours":13.665743445865342,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.665743445865342,"endHours":14.665743445865342,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.665743445865342,"endHours":15.665743445865342,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.665743445865342,"endHours":16.665743445865342,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.665743445865342,"endHours":17.665743445865342,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.665743445865342,"endHours":18.665743445865342,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.665743445865342,"endHours":19.665743445865342,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.665743445865342,"endHours":20.665743445865342,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.665743445865342,"endHours":21.665743445865342,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.665743445865342,"endHours":22.665743445865342,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.665743445865342,"endHours":23.665743445865342,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.665743445865342,"endHours":24.665743445865342,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.665743445865342,"endHours":25.665743445865342,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.665743445865342,"endHours":26.665743445865342,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.665743445865342,"endHours":27.665743445865342,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.665743445865342,"endHours":28.665743445865342,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.665743445865342,"endHours":29.665743445865342,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.152707638819509,"eotMinutes":2.918007328966811,"ayanamsa":26.2184}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pañcamī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[{"id":"shankara-jayanti","name":"Ādi Śaṅkarācārya Jayantī","name_sanskrit":"आदि शङ्कराचार्य जयन्ती","tradition":"Smarta","associated_deity":"Ādi Śaṅkarācārya","significance":"Birth of Ādi Śaṅkara at Kāladī, Kerala; Advaita-pratiṣṭhāpaka.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 May 1, 2169 CE · Phoenix, USA · Vidhyamitra","description":"May 1, 2169 CE for Phoenix, USA: Śukla Pañcamī, sūryodaya 05:40, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2169-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2169-05-01","sa":"https://sa.vidhyamitra.com/city/phoenix/2169-05-01","hi":"https://hi.vidhyamitra.com/city/phoenix/2169-05-01","x-default":"https://vidhyamitra.com/city/phoenix/2169-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:42:38.337Z","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":"2026-06-01T01:42:38.337Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:42:38.337Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}