{"id":"vidhyamitra:city-day:phoenix:2045-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2045-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-29","date_display":"August 29, 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":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468221.770833,"kali_year":5147,"ahargana":1879756.2708,"sun":{"sidereal_longitude":130.8566,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":328.7084,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.8517,"elapsed_within_tithi_degrees":5.8517},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":328.7084,"elapsed_within_degrees":8.7084},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.565},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":2045,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468221.770833,"ahargana":1879756.2708,"kali_year":5147,"ayanamsa_lahiri":24.4908,"grahas":{"sun":{"sidereal_longitude":131.64183500000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":327.39943500000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.0582},"mars":{"sidereal_longitude":98.65963499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":120.52223500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":313.1336349999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":171.50043499999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.09863500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.4668,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.4668,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468221.770833,"kali_year":5147,"ahargana":1879756.2708,"sun":{"sidereal_longitude":130.8566,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":328.7084,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.8517,"elapsed_within_tithi_degrees":5.8517},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":328.7084,"elapsed_within_degrees":8.7084},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.565},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.058,"elongation":162.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.058,"opposition_distance":17.852}},"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":"06:00","sunsetLocal":"18:58","solarNoonLocal":"12:29","dayLengthHours":12.960262443450794,"dayLengthDisplay":"12 Hours 57 Mins 37 Secs","nightLengthDisplay":"11 Hours 02 Mins 23 Secs","moonriseLocal":"19:38","moonsetLocal":"07:26","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:20","startHours":15.719965645254964,"endHours":17.339998450686313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:14","end":"10:52","startHours":9.239834423529567,"endHours":10.859867228960915,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"14:06","startHours":12.479900034392266,"endHours":14.099932839823616,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:27","startHours":9.023830049472053,"endHours":9.45583879758708,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:53","startHours":6.539779747810652,"endHours":6.8853867463026734,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:55","startHours":12.04789128627724,"endHours":12.911908782507291,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:08","startHours":4.271733820206762,"endHours":5.135751316436815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"06:00","startHours":4.9197469423793025,"endHours":5.9997688126668685,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:30","startHours":14.639943774967398,"endHours":15.50396127119745,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.760031256117664,"endHours":19.160031256117662,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.960031256117663,"endHours":19.500042191261446,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.710031256117663,"endHours":20.460031256117663,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:55","startHours":24.04789128627724,"endHours":24.911908782507293,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:00","end":"07:37","startHours":5.9997688126668685,"endHours":7.619801618098218,"quality":"inauspicious"},{"name":"Udveg","start":"07:37","end":"09:14","startHours":7.619801618098218,"endHours":9.239834423529567,"quality":"inauspicious"},{"name":"Chala","start":"09:14","end":"10:52","startHours":9.239834423529567,"endHours":10.859867228960915,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:29","startHours":10.859867228960915,"endHours":12.479900034392266,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"14:06","startHours":12.479900034392266,"endHours":14.099932839823616,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:43","startHours":14.099932839823616,"endHours":15.719965645254964,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:20","startHours":15.719965645254964,"endHours":17.339998450686313,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:58","startHours":17.339998450686313,"endHours":18.960031256117663,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:58","end":"20:20","startHours":18.960031256117663,"endHours":20.339998450686313,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:43","startHours":20.339998450686313,"endHours":21.719965645254966,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:06","startHours":21.719965645254966,"endHours":23.099932839823616,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:29","startHours":23.099932839823616,"endHours":24.479900034392266,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"01:52","startHours":24.479900034392266,"endHours":25.859867228960915,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:14","startHours":25.859867228960915,"endHours":27.239834423529565,"quality":"auspicious"},{"name":"Amṛta","start":"03:14","end":"04:37","startHours":27.239834423529565,"endHours":28.61980161809822,"quality":"auspicious"},{"name":"Kāla","start":"04:37","end":"06:00","startHours":28.61980161809822,"endHours":29.99976881266687,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.9997688126668685,"endHours":6.9997688126668685,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.9997688126668685,"endHours":7.9997688126668685,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.9997688126668685,"endHours":8.999768812666868,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.999768812666868,"endHours":9.999768812666868,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.999768812666868,"endHours":10.999768812666868,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.999768812666868,"endHours":11.999768812666868,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.999768812666868,"endHours":12.999768812666868,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.999768812666868,"endHours":13.999768812666868,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.999768812666868,"endHours":14.999768812666868,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.999768812666868,"endHours":15.999768812666868,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.999768812666868,"endHours":16.99976881266687,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.99976881266687,"endHours":17.99976881266687,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.99976881266687,"endHours":18.99976881266687,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.99976881266687,"endHours":19.99976881266687,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.99976881266687,"endHours":20.99976881266687,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.99976881266687,"endHours":21.99976881266687,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.99976881266687,"endHours":22.99976881266687,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.99976881266687,"endHours":23.99976881266687,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.99976881266687,"endHours":24.99976881266687,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.99976881266687,"endHours":25.99976881266687,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.99976881266687,"endHours":26.99976881266687,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.99976881266687,"endHours":27.99976881266687,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.99976881266687,"endHours":28.99976881266687,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.99976881266687,"endHours":29.99976881266687,"planetary_lord":"Saturn"}],"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":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.260928216623212,"eotMinutes":-0.49800206353601495,"ayanamsa":24.4908}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Dvitīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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 August 29, 2045 CE · Phoenix, USA · Vidhyamitra","description":"August 29, 2045 CE for Phoenix, USA: Kṛṣṇa Dvitīyā, sūryodaya 06:00, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2045-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2045-08-29","sa":"https://sa.vidhyamitra.com/city/phoenix/2045-08-29","hi":"https://hi.vidhyamitra.com/city/phoenix/2045-08-29","x-default":"https://vidhyamitra.com/city/phoenix/2045-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:22:45.810Z","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":"2026-06-01T04:22:45.810Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:22:45.810Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}