{"id":"vidhyamitra:city-day:phoenix:2111-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2111-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2111-09-01","date_display":"September 1, 2111 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":2111,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492329.770833,"kali_year":5213,"ahargana":1903864.2708,"sun":{"sidereal_longitude":131.744,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":104.5109,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7669,"elapsed_within_tithi_degrees":8.7669},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":104.5109,"elapsed_within_degrees":11.1776},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.2549},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2111,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492329.770833,"ahargana":1903864.2708,"kali_year":5213,"ayanamsa_lahiri":25.4129,"grahas":{"sun":{"sidereal_longitude":132.692832,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":106.33183200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":0.0315},"mars":{"sidereal_longitude":116.18413199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":125.75623200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":154.516432,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":88.859332,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":303.97913199999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":104.1089,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":284.1089,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2111,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492329.770833,"kali_year":5213,"ahargana":1903864.2708,"sun":{"sidereal_longitude":131.744,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":104.5109,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7669,"elapsed_within_tithi_degrees":8.7669},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":104.5109,"elapsed_within_degrees":11.1776},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.2549},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.032,"elongation":27.233},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.032,"opposition_distance":152.767}},"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":"06:01","sunsetLocal":"18:55","solarNoonLocal":"12:28","dayLengthHours":12.893467279557491,"dayLengthDisplay":"12 Hours 53 Mins 36 Secs","nightLengthDisplay":"11 Hours 06 Mins 24 Secs","moonriseLocal":"03:52","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:18","startHours":15.687033189704813,"endHours":17.298716599649502,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:14","end":"10:51","startHours":9.240299549926068,"endHours":10.851982959870755,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"14:05","startHours":12.463666369815442,"endHours":14.075349779760128,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:27","startHours":9.02540842860011,"endHours":9.455190671252026,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:54","startHours":6.554160533351591,"endHours":6.897986327473124,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:54","startHours":12.033884127163526,"endHours":12.893448612467358,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:09","startHours":4.29780375942903,"endHours":5.157368244732863,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:01","startHours":4.9424771234069045,"endHours":6.016932730036696,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:28","startHours":14.612577583075023,"endHours":15.472142068378856,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.71040000959419,"endHours":19.110400009594187,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:27","startHours":18.910400009594188,"endHours":19.447627812909083,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.660400009594188,"endHours":20.410400009594188,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:54","startHours":24.033884127163525,"endHours":24.89344861246736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:01","end":"07:38","startHours":6.016932730036696,"endHours":7.628616139981382,"quality":"inauspicious"},{"name":"Udveg","start":"07:38","end":"09:14","startHours":7.628616139981382,"endHours":9.240299549926068,"quality":"inauspicious"},{"name":"Chala","start":"09:14","end":"10:51","startHours":9.240299549926068,"endHours":10.851982959870755,"quality":"neutral"},{"name":"Labha","start":"10:51","end":"12:28","startHours":10.851982959870755,"endHours":12.463666369815442,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"14:05","startHours":12.463666369815442,"endHours":14.075349779760128,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:41","startHours":14.075349779760128,"endHours":15.687033189704813,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:18","startHours":15.687033189704813,"endHours":17.298716599649502,"quality":"auspicious"},{"name":"Roga","start":"17:18","end":"18:55","startHours":17.298716599649502,"endHours":18.910400009594188,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:55","end":"20:18","startHours":18.910400009594188,"endHours":20.298716599649502,"quality":"inauspicious"},{"name":"Śubha","start":"20:18","end":"21:41","startHours":20.298716599649502,"endHours":21.687033189704813,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:05","startHours":21.687033189704813,"endHours":23.075349779760128,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:28","startHours":23.075349779760128,"endHours":24.463666369815442,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"01:51","startHours":24.463666369815442,"endHours":25.851982959870757,"quality":"neutral"},{"name":"Labha","start":"01:51","end":"03:14","startHours":25.851982959870757,"endHours":27.24029954992607,"quality":"auspicious"},{"name":"Amṛta","start":"03:14","end":"04:38","startHours":27.24029954992607,"endHours":28.628616139981382,"quality":"auspicious"},{"name":"Kāla","start":"04:38","end":"06:01","startHours":28.628616139981382,"endHours":30.016932730036697,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.016932730036696,"endHours":7.016932730036696,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.016932730036696,"endHours":8.016932730036697,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.016932730036697,"endHours":9.016932730036697,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.016932730036697,"endHours":10.016932730036697,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.016932730036697,"endHours":11.016932730036697,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.016932730036697,"endHours":12.016932730036697,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.016932730036697,"endHours":13.016932730036697,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.016932730036697,"endHours":14.016932730036697,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.016932730036697,"endHours":15.016932730036697,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.016932730036697,"endHours":16.016932730036697,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.016932730036697,"endHours":17.016932730036697,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.016932730036697,"endHours":18.016932730036697,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.016932730036697,"endHours":19.016932730036697,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.016932730036697,"endHours":20.016932730036697,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.016932730036697,"endHours":21.016932730036697,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.016932730036697,"endHours":22.016932730036697,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.016932730036697,"endHours":23.016932730036697,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.016932730036697,"endHours":24.016932730036697,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.016932730036697,"endHours":25.016932730036697,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.016932730036697,"endHours":26.016932730036697,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.016932730036697,"endHours":27.016932730036697,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.016932730036697,"endHours":28.016932730036697,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.016932730036697,"endHours":29.016932730036697,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.016932730036697,"endHours":30.016932730036697,"planetary_lord":"Saturn"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.529142017460662,"eotMinutes":0.47601781107335894,"ayanamsa":25.4129}},"calendars":{"vikram_samvat":2168,"vikram_samvatsara":"Tāraṇa","saka_samvat":2033,"saka_samvatsara":"Prajāpati","bengali_samvat":1518,"malayalam_era":1287,"nanakshahi_year":642,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 2168 Tāraṇa · Śaka 2033 Prajāpati"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 September 1, 2111 CE · Phoenix, USA · Vidhyamitra","description":"September 1, 2111 CE for Phoenix, USA: Kṛṣṇa Trayodaśī, sūryodaya 06:01, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2111-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2111-09-01","sa":"https://sa.vidhyamitra.com/city/phoenix/2111-09-01","hi":"https://hi.vidhyamitra.com/city/phoenix/2111-09-01","x-default":"https://vidhyamitra.com/city/phoenix/2111-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:24:29.600Z","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":"2026-06-03T01:24:29.600Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:24:29.600Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}