{"id":"vidhyamitra:city-day:phoenix:2157-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2157-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-16","date_display":"August 16, 2157 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":2157,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509115.770833,"kali_year":5259,"ahargana":1920650.2708,"sun":{"sidereal_longitude":116.498,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":238.7991,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.301,"elapsed_within_tithi_degrees":2.301},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.7991,"elapsed_within_degrees":12.1324},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.2971},"karana":{"half_tithi_index":20,"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":2157,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509115.770833,"ahargana":1920650.2708,"kali_year":5259,"ayanamsa_lahiri":26.0549,"grahas":{"sun":{"sidereal_longitude":117.48758400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":238.23998400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":-3.7254},"mars":{"sidereal_longitude":204.67298400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":96.844584,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":115.65138400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":158.668184,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":153.957584,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.7058,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.7058,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509115.770833,"kali_year":5259,"ahargana":1920650.2708,"sun":{"sidereal_longitude":116.498,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":238.7991,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.301,"elapsed_within_tithi_degrees":2.301},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.7991,"elapsed_within_degrees":12.1324},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.2971},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.725,"elongation":122.301},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.725,"opposition_distance":57.699}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:51","sunsetLocal":"19:13","solarNoonLocal":"12:32","dayLengthHours":13.371841543444873,"dayLengthDisplay":"13 Hours 22 Mins 19 Secs","nightLengthDisplay":"10 Hours 37 Mins 41 Secs","moonriseLocal":"15:38","moonsetLocal":"01:32","rahuKala":{"name":"Rāhu Kāla","start":"15:53","end":"17:33","startHours":15.880724645813423,"endHours":17.552204838744032,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:52","startHours":9.194803874090987,"endHours":10.866284067021596,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:32","end":"14:13","startHours":12.537764259952205,"endHours":14.209244452882814,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:25","startHours":8.971939848366906,"endHours":9.417667899815068,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.409003552539972,"endHours":6.765585993698502,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:59","startHours":12.092036208504043,"endHours":12.983492311400367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:58","startHours":4.06893128243712,"endHours":4.960387385333444,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:51","startHours":4.737523359609363,"endHours":5.851843488229769,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:39","startHours":14.766404517193017,"endHours":15.657860620089341,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.023685031674642,"endHours":19.42368503167464,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.22368503167464,"endHours":19.780845095984844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.97368503167464,"endHours":20.72368503167464,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:59","startHours":24.09203620850404,"endHours":24.98349231140037,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:51","end":"07:31","startHours":5.851843488229769,"endHours":7.523323681160378,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:12","startHours":7.523323681160378,"endHours":9.194803874090987,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:52","startHours":9.194803874090987,"endHours":10.866284067021596,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:32","startHours":10.866284067021596,"endHours":12.537764259952205,"quality":"auspicious"},{"name":"Amṛta","start":"12:32","end":"14:13","startHours":12.537764259952205,"endHours":14.209244452882814,"quality":"auspicious"},{"name":"Kāla","start":"14:13","end":"15:53","startHours":14.209244452882814,"endHours":15.880724645813423,"quality":"inauspicious"},{"name":"Śubha","start":"15:53","end":"17:33","startHours":15.880724645813423,"endHours":17.552204838744032,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:13","startHours":17.552204838744032,"endHours":19.22368503167464,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:13","end":"20:33","startHours":19.22368503167464,"endHours":20.552204838744032,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:53","startHours":20.552204838744032,"endHours":21.880724645813423,"quality":"auspicious"},{"name":"Roga","start":"21:53","end":"23:13","startHours":21.880724645813423,"endHours":23.209244452882814,"quality":"inauspicious"},{"name":"Udveg","start":"23:13","end":"00:32","startHours":23.209244452882814,"endHours":24.537764259952205,"quality":"inauspicious"},{"name":"Chala","start":"00:32","end":"01:52","startHours":24.537764259952205,"endHours":25.866284067021596,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:12","startHours":25.866284067021596,"endHours":27.194803874090987,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:31","startHours":27.194803874090987,"endHours":28.523323681160377,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:51","startHours":28.523323681160377,"endHours":29.85184348822977,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.851843488229769,"endHours":6.851843488229769,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.851843488229769,"endHours":7.851843488229769,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.851843488229769,"endHours":8.851843488229768,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.851843488229768,"endHours":9.851843488229768,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.851843488229768,"endHours":10.851843488229768,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.851843488229768,"endHours":11.851843488229768,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.851843488229768,"endHours":12.851843488229768,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.851843488229768,"endHours":13.851843488229768,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.851843488229768,"endHours":14.851843488229768,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.851843488229768,"endHours":15.851843488229768,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.851843488229768,"endHours":16.85184348822977,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.85184348822977,"endHours":17.85184348822977,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.85184348822977,"endHours":18.85184348822977,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.85184348822977,"endHours":19.85184348822977,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.85184348822977,"endHours":20.85184348822977,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.85184348822977,"endHours":21.85184348822977,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.85184348822977,"endHours":22.85184348822977,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.85184348822977,"endHours":23.85184348822977,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.85184348822977,"endHours":24.85184348822977,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.85184348822977,"endHours":25.85184348822977,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.85184348822977,"endHours":26.85184348822977,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.85184348822977,"endHours":27.85184348822977,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.85184348822977,"endHours":28.85184348822977,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.85184348822977,"endHours":29.85184348822977,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","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":13.670812934588332,"eotMinutes":-3.969855597132357,"ayanamsa":26.0549}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Ekādaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 August 16, 2157 CE · Phoenix, USA · Vidhyamitra","description":"August 16, 2157 CE for Phoenix, USA: Śukla Ekādaśī, sūryodaya 05:51, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2157-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2157-08-16","sa":"https://sa.vidhyamitra.com/city/phoenix/2157-08-16","hi":"https://hi.vidhyamitra.com/city/phoenix/2157-08-16","x-default":"https://vidhyamitra.com/city/phoenix/2157-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:05:22.003Z","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":"2026-06-01T01:05:22.003Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:05:22.003Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}