{"id":"vidhyamitra:city-day:phoenix:2163-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2163-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-07-29","date_display":"July 29, 2163 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":2163,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511288.770833,"kali_year":5265,"ahargana":1922823.2708,"sun":{"sidereal_longitude":98.8384,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.445,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.6066,"elapsed_within_tithi_degrees":10.6066},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.445,"elapsed_within_degrees":6.7783},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.2834},"karana":{"half_tithi_index":55,"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":2163,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511288.770833,"ahargana":1922823.2708,"kali_year":5265,"ayanamsa_lahiri":26.138,"grahas":{"sun":{"sidereal_longitude":99.73505899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":75.045659,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-4.3226},"mars":{"sidereal_longitude":5.432159000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":108.522359,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":290.67235900000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"venus":{"sidereal_longitude":103.834359,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":221.27285899999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":179.5698,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.5698,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2163,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511288.770833,"kali_year":5265,"ahargana":1922823.2708,"sun":{"sidereal_longitude":98.8384,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.445,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.6066,"elapsed_within_tithi_degrees":10.6066},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.445,"elapsed_within_degrees":6.7783},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.2834},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.323,"elongation":25.393},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.323,"opposition_distance":154.607}},"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":"05:38","sunsetLocal":"19:31","solarNoonLocal":"12:34","dayLengthHours":13.877581731076958,"dayLengthDisplay":"13 Hours 52 Mins 39 Secs","nightLengthDisplay":"10 Hours 07 Mins 21 Secs","moonriseLocal":"03:47","moonsetLocal":"18:04","rahuKala":{"name":"Rāhu Kāla","start":"10:50","end":"12:34","startHours":10.839363223707817,"endHours":12.574060940092437,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:03","end":"17:47","startHours":16.043456372861677,"endHours":17.778154089246296,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:06","startHours":7.369967790938579,"endHours":9.104665507323197,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:20","startHours":8.873372478471916,"endHours":9.33595853617448,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:35","startHours":6.213502646682166,"endHours":6.583571492844218,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"13:02","startHours":12.111474882389873,"endHours":13.036646997795001,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:43","startHours":3.7849258437436974,"endHours":4.710097959148828,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:29","end":"05:38","startHours":4.478804930297546,"endHours":5.635270074553959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:49","startHours":14.886991228605265,"endHours":15.812163344010395,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:19","end":"19:43","startHours":19.312851805630917,"endHours":19.712851805630915,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:31","end":"20:05","startHours":19.512851805630916,"endHours":20.091084377759124,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:16","end":"21:01","startHours":19.262851805630916,"endHours":21.012851805630916,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"01:02","startHours":24.11147488238987,"endHours":25.036646997795003,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:38","end":"07:22","startHours":5.635270074553959,"endHours":7.369967790938579,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:06","startHours":7.369967790938579,"endHours":9.104665507323197,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:50","startHours":9.104665507323197,"endHours":10.839363223707817,"quality":"auspicious"},{"name":"Kāla","start":"10:50","end":"12:34","startHours":10.839363223707817,"endHours":12.574060940092437,"quality":"inauspicious"},{"name":"Śubha","start":"12:34","end":"14:19","startHours":12.574060940092437,"endHours":14.308758656477057,"quality":"auspicious"},{"name":"Roga","start":"14:19","end":"16:03","startHours":14.308758656477057,"endHours":16.043456372861677,"quality":"inauspicious"},{"name":"Udveg","start":"16:03","end":"17:47","startHours":16.043456372861677,"endHours":17.778154089246296,"quality":"inauspicious"},{"name":"Chala","start":"17:47","end":"19:31","startHours":17.778154089246296,"endHours":19.512851805630916,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:31","end":"20:47","startHours":19.512851805630916,"endHours":20.778154089246296,"quality":"inauspicious"},{"name":"Udveg","start":"20:47","end":"22:03","startHours":20.778154089246296,"endHours":22.043456372861677,"quality":"inauspicious"},{"name":"Chala","start":"22:03","end":"23:19","startHours":22.043456372861677,"endHours":23.308758656477057,"quality":"neutral"},{"name":"Labha","start":"23:19","end":"00:34","startHours":23.308758656477057,"endHours":24.574060940092437,"quality":"auspicious"},{"name":"Amṛta","start":"00:34","end":"01:50","startHours":24.574060940092437,"endHours":25.839363223707817,"quality":"auspicious"},{"name":"Kāla","start":"01:50","end":"03:06","startHours":25.839363223707817,"endHours":27.104665507323197,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:22","startHours":27.104665507323197,"endHours":28.369967790938578,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:38","startHours":28.369967790938578,"endHours":29.635270074553958,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.635270074553959,"endHours":6.635270074553959,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.635270074553959,"endHours":7.635270074553959,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.635270074553959,"endHours":8.635270074553958,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.635270074553958,"endHours":9.635270074553958,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.635270074553958,"endHours":10.635270074553958,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.635270074553958,"endHours":11.635270074553958,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.635270074553958,"endHours":12.635270074553958,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.635270074553958,"endHours":13.635270074553958,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.635270074553958,"endHours":14.635270074553958,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.635270074553958,"endHours":15.635270074553958,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.635270074553958,"endHours":16.635270074553958,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.635270074553958,"endHours":17.635270074553958,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.635270074553958,"endHours":18.635270074553958,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.635270074553958,"endHours":19.635270074553958,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.635270074553958,"endHours":20.635270074553958,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.635270074553958,"endHours":21.635270074553958,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.635270074553958,"endHours":22.635270074553958,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.635270074553958,"endHours":23.635270074553958,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.635270074553958,"endHours":24.635270074553958,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.635270074553958,"endHours":25.635270074553958,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.635270074553958,"endHours":26.635270074553958,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.635270074553958,"endHours":27.635270074553958,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.635270074553958,"endHours":28.635270074553958,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.635270074553958,"endHours":29.635270074553958,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.801439668395098,"eotMinutes":-6.147656405546237,"ayanamsa":26.138}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"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":"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 July 29, 2163 CE · Phoenix, USA · Vidhyamitra","description":"July 29, 2163 CE for Phoenix, USA: Kṛṣṇa Trayodaśī, sūryodaya 05:38, sūryāsta 19:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2163-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2163-07-29","sa":"https://sa.vidhyamitra.com/city/phoenix/2163-07-29","hi":"https://hi.vidhyamitra.com/city/phoenix/2163-07-29","x-default":"https://vidhyamitra.com/city/phoenix/2163-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:09:26.089Z","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":"2026-06-01T10:09:26.089Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:09:26.089Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}