{"id":"vidhyamitra:city-day:phoenix:1902-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1902-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-08-21","date_display":"August 21, 1902 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":1902,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415982.770833,"kali_year":5004,"ahargana":1827517.2708,"sun":{"sidereal_longitude":124.1363,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":325.5297,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.3934,"elapsed_within_tithi_degrees":9.3934},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.5297,"elapsed_within_degrees":5.5297},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.666},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1902,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415982.770833,"ahargana":1827517.2708,"kali_year":5004,"ayanamsa_lahiri":22.4929,"grahas":{"sun":{"sidereal_longitude":124.545049,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":325.8528490000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":3.1136},"mars":{"sidereal_longitude":89.552549,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":135.134749,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":289.231049,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"venus":{"sidereal_longitude":100.43064900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":271.059249,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":189.3404,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":9.3404,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1902,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415982.770833,"kali_year":5004,"ahargana":1827517.2708,"sun":{"sidereal_longitude":124.1363,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":325.5297,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.3934,"elapsed_within_tithi_degrees":9.3934},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.5297,"elapsed_within_degrees":5.5297},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.666},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.114,"elongation":158.607},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.114,"opposition_distance":21.393}},"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":"05:53","sunsetLocal":"19:09","solarNoonLocal":"12:31","dayLengthHours":13.260627004105693,"dayLengthDisplay":"13 Hours 15 Mins 38 Secs","nightLengthDisplay":"10 Hours 44 Mins 22 Secs","moonriseLocal":"20:06","moonsetLocal":"07:47","rahuKala":{"name":"Rāhu Kāla","start":"14:11","end":"15:50","startHours":14.175809930779788,"endHours":15.833388306293001,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:53","end":"07:33","startHours":5.887918053213731,"endHours":7.545496428726943,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:12","end":"10:52","startHours":9.203074804240154,"endHours":10.860653179753367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:25","startHours":8.982064354171726,"endHours":9.424085254308583,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:48","startHours":6.440444178384801,"endHours":6.794060898494287,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:58","startHours":12.07621065512972,"endHours":12.960252455403435,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"05:00","startHours":4.119834452666305,"endHours":5.003876252940018,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:53","startHours":4.782865802871591,"endHours":5.887918053213731,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:37","startHours":14.728336055950859,"endHours":15.61237785622457,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.948545057319425,"endHours":19.348545057319424,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:42","startHours":19.148545057319424,"endHours":19.701071182490494,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.898545057319424,"endHours":20.648545057319424,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:58","startHours":24.07621065512972,"endHours":24.960252455403435,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:53","end":"07:33","startHours":5.887918053213731,"endHours":7.545496428726943,"quality":"auspicious"},{"name":"Roga","start":"07:33","end":"09:12","startHours":7.545496428726943,"endHours":9.203074804240154,"quality":"inauspicious"},{"name":"Udveg","start":"09:12","end":"10:52","startHours":9.203074804240154,"endHours":10.860653179753367,"quality":"inauspicious"},{"name":"Chala","start":"10:52","end":"12:31","startHours":10.860653179753367,"endHours":12.518231555266578,"quality":"neutral"},{"name":"Labha","start":"12:31","end":"14:11","startHours":12.518231555266578,"endHours":14.175809930779788,"quality":"auspicious"},{"name":"Amṛta","start":"14:11","end":"15:50","startHours":14.175809930779788,"endHours":15.833388306293001,"quality":"auspicious"},{"name":"Kāla","start":"15:50","end":"17:29","startHours":15.833388306293001,"endHours":17.490966681806214,"quality":"inauspicious"},{"name":"Śubha","start":"17:29","end":"19:09","startHours":17.490966681806214,"endHours":19.148545057319424,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:29","startHours":19.148545057319424,"endHours":20.490966681806214,"quality":"auspicious"},{"name":"Kāla","start":"20:29","end":"21:50","startHours":20.490966681806214,"endHours":21.833388306293003,"quality":"inauspicious"},{"name":"Śubha","start":"21:50","end":"23:11","startHours":21.833388306293003,"endHours":23.17580993077979,"quality":"auspicious"},{"name":"Roga","start":"23:11","end":"00:31","startHours":23.17580993077979,"endHours":24.518231555266578,"quality":"inauspicious"},{"name":"Udveg","start":"00:31","end":"01:52","startHours":24.518231555266578,"endHours":25.860653179753367,"quality":"inauspicious"},{"name":"Chala","start":"01:52","end":"03:12","startHours":25.860653179753367,"endHours":27.203074804240153,"quality":"neutral"},{"name":"Labha","start":"03:12","end":"04:33","startHours":27.203074804240153,"endHours":28.545496428726942,"quality":"auspicious"},{"name":"Amṛta","start":"04:33","end":"05:53","startHours":28.545496428726942,"endHours":29.88791805321373,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.887918053213731,"endHours":6.887918053213731,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.887918053213731,"endHours":7.887918053213731,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.887918053213731,"endHours":8.887918053213731,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.887918053213731,"endHours":9.887918053213731,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.887918053213731,"endHours":10.887918053213731,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.887918053213731,"endHours":11.887918053213731,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.887918053213731,"endHours":12.887918053213731,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.887918053213731,"endHours":13.887918053213731,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.887918053213731,"endHours":14.887918053213731,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.887918053213731,"endHours":15.887918053213731,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.887918053213731,"endHours":16.88791805321373,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.88791805321373,"endHours":17.88791805321373,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.88791805321373,"endHours":18.88791805321373,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.88791805321373,"endHours":19.88791805321373,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.88791805321373,"endHours":20.88791805321373,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.88791805321373,"endHours":21.88791805321373,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.88791805321373,"endHours":22.88791805321373,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.88791805321373,"endHours":23.88791805321373,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.88791805321373,"endHours":24.88791805321373,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.88791805321373,"endHours":25.88791805321373,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.88791805321373,"endHours":26.88791805321373,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.88791805321373,"endHours":27.88791805321373,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.88791805321373,"endHours":28.88791805321373,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.88791805321373,"endHours":29.88791805321373,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.497654274073037,"eotMinutes":-2.7978933159948465,"ayanamsa":22.4929}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"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 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 21, 1902 CE · Phoenix, USA · Vidhyamitra","description":"August 21, 1902 CE for Phoenix, USA: Kṛṣṇa Dvitīyā, sūryodaya 05:53, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1902-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1902-08-21","sa":"https://sa.vidhyamitra.com/city/phoenix/1902-08-21","hi":"https://hi.vidhyamitra.com/city/phoenix/1902-08-21","x-default":"https://vidhyamitra.com/city/phoenix/1902-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:43:19.233Z","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":"2026-06-02T00:43:19.233Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:43:19.233Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}