{"id":"vidhyamitra:city-day:phoenix:2045-07-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2045-07-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-05","date_display":"July 5, 2045 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":2045,"month":7,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468166.770833,"kali_year":5147,"ahargana":1879701.2708,"sun":{"sidereal_longitude":78.5003,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.1912,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6909,"elapsed_within_tithi_degrees":6.6909},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.1912,"elapsed_within_degrees":5.1912},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6915},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2045,"month":7,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468166.770833,"ahargana":1879701.2708,"kali_year":5147,"ayanamsa_lahiri":24.4887,"grahas":{"sun":{"sidereal_longitude":78.96883600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":321.664436,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":1.5973},"mars":{"sidereal_longitude":62.340236000000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":103.02943600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":317.918636,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":106.29763600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.673636,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.3809,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.3809,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":7,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468166.770833,"kali_year":5147,"ahargana":1879701.2708,"sun":{"sidereal_longitude":78.5003,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.1912,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6909,"elapsed_within_tithi_degrees":6.6909},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.1912,"elapsed_within_degrees":5.1912},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6915},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.597,"elongation":113.309},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.597,"opposition_distance":66.691}},"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":"05:24","sunsetLocal":"19:41","solarNoonLocal":"12:32","dayLengthHours":14.29557497862097,"dayLengthDisplay":"14 Hours 17 Mins 44 Secs","nightLengthDisplay":"9 Hours 42 Mins 16 Secs","moonriseLocal":"22:55","moonsetLocal":"10:32","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"14:20","startHours":12.541470936606782,"endHours":14.328417808934404,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:58","startHours":7.180630319623918,"endHours":8.96757719195154,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:32","startHours":10.75452406427916,"endHours":12.541470936606782,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:12","startHours":8.729317608974522,"endHours":9.205836774928557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:22","startHours":5.989332404738837,"endHours":6.370547737502063,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"13:01","startHours":12.06495177065275,"endHours":13.017990102560814,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:26","startHours":3.487606783480168,"endHours":4.440645115388232,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:24","startHours":4.202385532411216,"endHours":5.393683447296297,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:53","startHours":14.924066766376944,"endHours":15.877105098285009,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:29","end":"19:53","startHours":19.489258425917267,"endHours":19.889258425917266,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:41","end":"20:17","startHours":19.689258425917266,"endHours":20.28490738335981,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:26","end":"21:11","startHours":19.439258425917266,"endHours":21.189258425917266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"01:01","startHours":24.06495177065275,"endHours":25.017990102560812,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:24","end":"07:11","startHours":5.393683447296297,"endHours":7.180630319623918,"quality":"auspicious"},{"name":"Amṛta","start":"07:11","end":"08:58","startHours":7.180630319623918,"endHours":8.96757719195154,"quality":"auspicious"},{"name":"Kāla","start":"08:58","end":"10:45","startHours":8.96757719195154,"endHours":10.75452406427916,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:32","startHours":10.75452406427916,"endHours":12.541470936606782,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"14:20","startHours":12.541470936606782,"endHours":14.328417808934404,"quality":"inauspicious"},{"name":"Udveg","start":"14:20","end":"16:07","startHours":14.328417808934404,"endHours":16.115364681262022,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:54","startHours":16.115364681262022,"endHours":17.902311553589644,"quality":"neutral"},{"name":"Labha","start":"17:54","end":"19:41","startHours":17.902311553589644,"endHours":19.689258425917266,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:41","end":"20:54","startHours":19.689258425917266,"endHours":20.902311553589644,"quality":"inauspicious"},{"name":"Chala","start":"20:54","end":"22:07","startHours":20.902311553589644,"endHours":22.115364681262022,"quality":"neutral"},{"name":"Labha","start":"22:07","end":"23:20","startHours":22.115364681262022,"endHours":23.328417808934404,"quality":"auspicious"},{"name":"Amṛta","start":"23:20","end":"00:32","startHours":23.328417808934404,"endHours":24.541470936606782,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"01:45","startHours":24.541470936606782,"endHours":25.75452406427916,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"02:58","startHours":25.75452406427916,"endHours":26.96757719195154,"quality":"auspicious"},{"name":"Roga","start":"02:58","end":"04:11","startHours":26.96757719195154,"endHours":28.18063031962392,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"05:24","startHours":28.18063031962392,"endHours":29.393683447296297,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.393683447296297,"endHours":6.393683447296297,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.393683447296297,"endHours":7.393683447296297,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.393683447296297,"endHours":8.393683447296297,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.393683447296297,"endHours":9.393683447296297,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.393683447296297,"endHours":10.393683447296297,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.393683447296297,"endHours":11.393683447296297,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.393683447296297,"endHours":12.393683447296297,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.393683447296297,"endHours":13.393683447296297,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.393683447296297,"endHours":14.393683447296297,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.393683447296297,"endHours":15.393683447296297,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.393683447296297,"endHours":16.393683447296297,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.393683447296297,"endHours":17.393683447296297,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.393683447296297,"endHours":18.393683447296297,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.393683447296297,"endHours":19.393683447296297,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.393683447296297,"endHours":20.393683447296297,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.393683447296297,"endHours":21.393683447296297,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.393683447296297,"endHours":22.393683447296297,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.393683447296297,"endHours":23.393683447296297,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.393683447296297,"endHours":24.393683447296297,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.393683447296297,"endHours":25.393683447296297,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.393683447296297,"endHours":26.393683447296297,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.393683447296297,"endHours":27.393683447296297,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.393683447296297,"endHours":28.393683447296297,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.393683447296297,"endHours":29.393683447296297,"planetary_lord":"Sun"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.756264487371308,"eotMinutes":-4.192256196406893,"ayanamsa":24.4887}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 5, 2045 CE · Phoenix, USA · Vidhyamitra","description":"July 5, 2045 CE for Phoenix, USA: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:24, sūryāsta 19:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2045-07-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2045-07-05","sa":"https://sa.vidhyamitra.com/city/phoenix/2045-07-05","hi":"https://hi.vidhyamitra.com/city/phoenix/2045-07-05","x-default":"https://vidhyamitra.com/city/phoenix/2045-07-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:36:20.331Z","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":"2026-06-01T08:36:20.331Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:36:20.331Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}