{"id":"vidhyamitra:city-day:phoenix:2021-08-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2021-08-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-08-02","date_display":"August 2, 2021 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":2021,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459428.770833,"kali_year":5123,"ahargana":1870963.2708,"sun":{"sidereal_longitude":105.2448,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":30.6909,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.4461,"elapsed_within_tithi_degrees":9.4461},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6909,"elapsed_within_degrees":4.0242},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.9357},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2021,"month":8,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459428.770833,"ahargana":1870963.2708,"kali_year":5123,"ayanamsa_lahiri":24.1545,"grahas":{"sun":{"sidereal_longitude":105.83819199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":32.02619199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-1.2897},"mars":{"sidereal_longitude":127.522292,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":106.05889200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":305.30469199999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":138.72819200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":286.071192,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":47.3622,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.3622,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459428.770833,"kali_year":5123,"ahargana":1870963.2708,"sun":{"sidereal_longitude":105.2448,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":30.6909,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.4461,"elapsed_within_tithi_degrees":9.4461},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6909,"elapsed_within_degrees":4.0242},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.9357},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.29,"elongation":74.554},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.29,"opposition_distance":105.446}},"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":"05:41","sunsetLocal":"19:27","solarNoonLocal":"12:34","dayLengthHours":13.770079573859192,"dayLengthDisplay":"13 Hours 46 Mins 12 Secs","nightLengthDisplay":"10 Hours 13 Mins 48 Secs","moonriseLocal":"00:42","moonsetLocal":"14:36","rahuKala":{"name":"Rāhu Kāla","start":"07:24","end":"09:08","startHours":7.407045695138421,"endHours":9.12830564187082,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:34","startHours":10.84956558860322,"endHours":12.570825535335619,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:18","end":"16:01","startHours":14.292085482068018,"endHours":16.013345428800417,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:21","startHours":8.898804315639833,"endHours":9.357806968101807,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:38","startHours":6.259539063983488,"endHours":6.626741185953066,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"13:02","startHours":12.111822882873646,"endHours":13.029828187797591,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:51","end":"04:46","startHours":3.8497751385581296,"endHours":4.767780443482075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:41","startHours":4.538279117251089,"endHours":5.685785748406022,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:47","startHours":14.865838797645484,"endHours":15.78384410256943,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:15","end":"19:39","startHours":19.255865322265215,"endHours":19.655865322265214,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:27","end":"20:02","startHours":19.455865322265215,"endHours":20.02961863784268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:12","end":"20:57","startHours":19.205865322265215,"endHours":20.955865322265215,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"01:02","startHours":24.111822882873646,"endHours":25.02982818779759,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:24","startHours":5.685785748406022,"endHours":7.407045695138421,"quality":"auspicious"},{"name":"Kāla","start":"07:24","end":"09:08","startHours":7.407045695138421,"endHours":9.12830564187082,"quality":"inauspicious"},{"name":"Śubha","start":"09:08","end":"10:51","startHours":9.12830564187082,"endHours":10.84956558860322,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:34","startHours":10.84956558860322,"endHours":12.570825535335619,"quality":"inauspicious"},{"name":"Udveg","start":"12:34","end":"14:18","startHours":12.570825535335619,"endHours":14.292085482068018,"quality":"inauspicious"},{"name":"Chala","start":"14:18","end":"16:01","startHours":14.292085482068018,"endHours":16.013345428800417,"quality":"neutral"},{"name":"Labha","start":"16:01","end":"17:44","startHours":16.013345428800417,"endHours":17.734605375532816,"quality":"auspicious"},{"name":"Amṛta","start":"17:44","end":"19:27","startHours":17.734605375532816,"endHours":19.455865322265215,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:27","end":"20:44","startHours":19.455865322265215,"endHours":20.734605375532816,"quality":"neutral"},{"name":"Labha","start":"20:44","end":"22:01","startHours":20.734605375532816,"endHours":22.013345428800417,"quality":"auspicious"},{"name":"Amṛta","start":"22:01","end":"23:18","startHours":22.013345428800417,"endHours":23.292085482068018,"quality":"auspicious"},{"name":"Kāla","start":"23:18","end":"00:34","startHours":23.292085482068018,"endHours":24.57082553533562,"quality":"inauspicious"},{"name":"Śubha","start":"00:34","end":"01:51","startHours":24.57082553533562,"endHours":25.84956558860322,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:08","startHours":25.84956558860322,"endHours":27.12830564187082,"quality":"inauspicious"},{"name":"Udveg","start":"03:08","end":"04:24","startHours":27.12830564187082,"endHours":28.40704569513842,"quality":"inauspicious"},{"name":"Chala","start":"04:24","end":"05:41","startHours":28.40704569513842,"endHours":29.685785748406023,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.685785748406022,"endHours":6.685785748406022,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.685785748406022,"endHours":7.685785748406022,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.685785748406022,"endHours":8.685785748406023,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.685785748406023,"endHours":9.685785748406023,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.685785748406023,"endHours":10.685785748406023,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.685785748406023,"endHours":11.685785748406023,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.685785748406023,"endHours":12.685785748406023,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.685785748406023,"endHours":13.685785748406023,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.685785748406023,"endHours":14.685785748406023,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.685785748406023,"endHours":15.685785748406023,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.685785748406023,"endHours":16.685785748406023,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.685785748406023,"endHours":17.685785748406023,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.685785748406023,"endHours":18.685785748406023,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.685785748406023,"endHours":19.685785748406023,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.685785748406023,"endHours":20.685785748406023,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.685785748406023,"endHours":21.685785748406023,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.685785748406023,"endHours":22.685785748406023,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.685785748406023,"endHours":23.685785748406023,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.685785748406023,"endHours":24.685785748406023,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.685785748406023,"endHours":25.685785748406023,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.685785748406023,"endHours":26.685785748406023,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.685785748406023,"endHours":27.685785748406023,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.685785748406023,"endHours":28.685785748406023,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.685785748406023,"endHours":29.685785748406023,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.74091907331095,"eotMinutes":-5.953532120137101,"ayanamsa":24.1545}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 2, 2021 CE · Phoenix, USA · Vidhyamitra","description":"August 2, 2021 CE for Phoenix, USA: Kṛṣṇa Navamī, sūryodaya 05:41, sūryāsta 19:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2021-08-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2021-08-02","sa":"https://sa.vidhyamitra.com/city/phoenix/2021-08-02","hi":"https://hi.vidhyamitra.com/city/phoenix/2021-08-02","x-default":"https://vidhyamitra.com/city/phoenix/2021-08-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:27:42.357Z","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":"2026-05-14T18:27:42.357Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:27:42.357Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}