{"id":"vidhyamitra:city-day:phoenix:2000-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2000-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-05-21","date_display":"May 21, 2000 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":2000,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451685.770833,"kali_year":5102,"ahargana":1863220.2708,"sun":{"sidereal_longitude":36.3877,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":249.5769,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.1891,"elapsed_within_tithi_degrees":9.1891},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.5769,"elapsed_within_degrees":9.5769},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.9646},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2000,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451685.770833,"ahargana":1863220.2708,"kali_year":5102,"ayanamsa_lahiri":23.8584,"grahas":{"sun":{"sidereal_longitude":36.444432000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":246.70563199999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":2.1142},"mars":{"sidereal_longitude":48.11553200000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":50.12113199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":27.051932000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":30.683532000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":27.857932000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":97.6236,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.6236,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"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":2000,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451685.770833,"kali_year":5102,"ahargana":1863220.2708,"sun":{"sidereal_longitude":36.3877,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":249.5769,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.1891,"elapsed_within_tithi_degrees":9.1891},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.5769,"elapsed_within_degrees":9.5769},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.9646},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.114,"elongation":146.811},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.114,"opposition_distance":33.189}},"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":"19:25","solarNoonLocal":"12:25","dayLengthHours":14.02337049340184,"dayLengthDisplay":"14 Hours 01 Mins 24 Secs","nightLengthDisplay":"9 Hours 58 Mins 36 Secs","moonriseLocal":"21:29","moonsetLocal":"07:22","rahuKala":{"name":"Rāhu Kāla","start":"17:40","end":"19:25","startHours":17.671373638651055,"endHours":19.424294950326285,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:10","startHours":12.412609703625364,"endHours":14.165531015300594,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:55","end":"17:40","startHours":15.918452326975824,"endHours":17.671373638651055,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:08","startHours":8.673044238718207,"endHours":9.140489921831602,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:22","startHours":5.985231560816188,"endHours":6.359188107306903,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:53","startHours":11.94516402051197,"endHours":12.880055386738759,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:28","startHours":3.5311417244708663,"endHours":4.466033090697655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:24","startHours":4.2323102491409585,"endHours":5.400924456924445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:45","end":"15:41","startHours":14.749838119192338,"endHours":15.684729485419128,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:13","end":"19:37","startHours":19.224294950326286,"endHours":19.624294950326284,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:25","end":"20:01","startHours":19.424294950326285,"endHours":20.008602054218027,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:10","end":"20:55","startHours":19.174294950326285,"endHours":20.924294950326285,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:53","startHours":23.94516402051197,"endHours":24.880055386738757,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:24","end":"07:09","startHours":5.400924456924445,"endHours":7.153845768599675,"quality":"inauspicious"},{"name":"Chala","start":"07:09","end":"08:54","startHours":7.153845768599675,"endHours":8.906767080274905,"quality":"neutral"},{"name":"Labha","start":"08:54","end":"10:40","startHours":8.906767080274905,"endHours":10.659688391950134,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:25","startHours":10.659688391950134,"endHours":12.412609703625364,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:10","startHours":12.412609703625364,"endHours":14.165531015300594,"quality":"inauspicious"},{"name":"Śubha","start":"14:10","end":"15:55","startHours":14.165531015300594,"endHours":15.918452326975824,"quality":"auspicious"},{"name":"Roga","start":"15:55","end":"17:40","startHours":15.918452326975824,"endHours":17.671373638651055,"quality":"inauspicious"},{"name":"Udveg","start":"17:40","end":"19:25","startHours":17.671373638651055,"endHours":19.424294950326285,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:25","end":"20:40","startHours":19.424294950326285,"endHours":20.671373638651055,"quality":"auspicious"},{"name":"Roga","start":"20:40","end":"21:55","startHours":20.671373638651055,"endHours":21.918452326975824,"quality":"inauspicious"},{"name":"Udveg","start":"21:55","end":"23:10","startHours":21.918452326975824,"endHours":23.165531015300594,"quality":"inauspicious"},{"name":"Chala","start":"23:10","end":"00:25","startHours":23.165531015300594,"endHours":24.412609703625364,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:40","startHours":24.412609703625364,"endHours":25.659688391950134,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"02:54","startHours":25.659688391950134,"endHours":26.906767080274903,"quality":"auspicious"},{"name":"Kāla","start":"02:54","end":"04:09","startHours":26.906767080274903,"endHours":28.153845768599673,"quality":"inauspicious"},{"name":"Śubha","start":"04:09","end":"05:24","startHours":28.153845768599673,"endHours":29.400924456924443,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.400924456924445,"endHours":6.400924456924445,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.400924456924445,"endHours":7.400924456924445,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.400924456924445,"endHours":8.400924456924445,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.400924456924445,"endHours":9.400924456924445,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.400924456924445,"endHours":10.400924456924445,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.400924456924445,"endHours":11.400924456924445,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.400924456924445,"endHours":12.400924456924445,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.400924456924445,"endHours":13.400924456924445,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.400924456924445,"endHours":14.400924456924445,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.400924456924445,"endHours":15.400924456924445,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.400924456924445,"endHours":16.400924456924443,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.400924456924443,"endHours":17.400924456924443,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.400924456924443,"endHours":18.400924456924443,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.400924456924443,"endHours":19.400924456924443,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.400924456924443,"endHours":20.400924456924443,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.400924456924443,"endHours":21.400924456924443,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.400924456924443,"endHours":22.400924456924443,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.400924456924443,"endHours":23.400924456924443,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.400924456924443,"endHours":24.400924456924443,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.400924456924443,"endHours":25.400924456924443,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.400924456924443,"endHours":26.400924456924443,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.400924456924443,"endHours":27.400924456924443,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.400924456924443,"endHours":28.400924456924443,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.400924456924443,"endHours":29.400924456924443,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.211874283437375,"eotMinutes":3.539417782478063,"ayanamsa":23.8584}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 May 21, 2000 CE · Phoenix, USA · Vidhyamitra","description":"May 21, 2000 CE for Phoenix, USA: Kṛṣṇa Tṛtīyā, sūryodaya 05:24, sūryāsta 19:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2000-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2000-05-21","sa":"https://sa.vidhyamitra.com/city/phoenix/2000-05-21","hi":"https://hi.vidhyamitra.com/city/phoenix/2000-05-21","x-default":"https://vidhyamitra.com/city/phoenix/2000-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:47:52.367Z","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":"2026-05-31T01:47:52.367Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:47:52.367Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}