{"id":"vidhyamitra:city-day:phoenix:2003-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2003-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-05-13","date_display":"May 13, 2003 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":2003,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452772.770833,"kali_year":5105,"ahargana":1864307.2708,"sun":{"sidereal_longitude":27.9842,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":166.3804,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.3962,"elapsed_within_tithi_degrees":6.3962},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":166.3804,"elapsed_within_degrees":6.3804},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.3646},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2003,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452772.770833,"ahargana":1864307.2708,"kali_year":5105,"ayanamsa_lahiri":23.9,"grahas":{"sun":{"sidereal_longitude":27.995000000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":164.18450000000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":3.623},"mars":{"sidereal_longitude":288.33349999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":19.127700000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":106.36500000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":1.942799999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":63.34100000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":40.0291,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.0291,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2003,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452772.770833,"kali_year":5105,"ahargana":1864307.2708,"sun":{"sidereal_longitude":27.9842,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":166.3804,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.3962,"elapsed_within_tithi_degrees":6.3962},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":166.3804,"elapsed_within_degrees":6.3804},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.3646},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.623,"elongation":138.396},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.623,"opposition_distance":41.604}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":0.804,"opposition_distance":1.295},{"offset_days":18,"type":"solar","occurs":true,"moon_latitude":0.403,"elongation":0.968}]},"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":"05:30","sunsetLocal":"19:19","solarNoonLocal":"12:25","dayLengthHours":13.820272039893418,"dayLengthDisplay":"13 Hours 49 Mins 13 Secs","nightLengthDisplay":"10 Hours 10 Mins 47 Secs","moonriseLocal":"15:35","moonsetLocal":"03:24","rahuKala":{"name":"Rāhu Kāla","start":"15:52","end":"17:35","startHours":15.864110697580745,"endHours":17.591644702567425,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:57","end":"10:41","startHours":8.953974677634037,"endHours":10.681508682620715,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:08","startHours":12.409042687607393,"endHours":14.136576692594069,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:11","startHours":8.72363681030248,"endHours":9.184312544965595,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:27","startHours":6.074751335989576,"endHours":6.443291923720067,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.948366952944278,"endHours":12.869718422270507,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:35","startHours":3.6562037290082277,"endHours":4.577555198334455,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:30","startHours":4.3472173310028985,"endHours":5.498906667660683,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:38","startHours":14.71242136092296,"endHours":15.633772830249187,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.119178707554102,"endHours":19.5191787075541,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:54","startHours":19.3191787075541,"endHours":19.895023375882992,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.0691787075541,"endHours":20.8191787075541,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.94836695294428,"endHours":24.869718422270505,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:30","end":"07:14","startHours":5.498906667660683,"endHours":7.22644067264736,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"08:57","startHours":7.22644067264736,"endHours":8.953974677634037,"quality":"inauspicious"},{"name":"Chala","start":"08:57","end":"10:41","startHours":8.953974677634037,"endHours":10.681508682620715,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:25","startHours":10.681508682620715,"endHours":12.409042687607393,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:08","startHours":12.409042687607393,"endHours":14.136576692594069,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:52","startHours":14.136576692594069,"endHours":15.864110697580745,"quality":"inauspicious"},{"name":"Śubha","start":"15:52","end":"17:35","startHours":15.864110697580745,"endHours":17.591644702567425,"quality":"auspicious"},{"name":"Roga","start":"17:35","end":"19:19","startHours":17.591644702567425,"endHours":19.3191787075541,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:19","end":"20:35","startHours":19.3191787075541,"endHours":20.591644702567425,"quality":"inauspicious"},{"name":"Śubha","start":"20:35","end":"21:52","startHours":20.591644702567425,"endHours":21.86411069758075,"quality":"auspicious"},{"name":"Roga","start":"21:52","end":"23:08","startHours":21.86411069758075,"endHours":23.13657669259407,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:25","startHours":23.13657669259407,"endHours":24.409042687607393,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:41","startHours":24.409042687607393,"endHours":25.681508682620716,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"02:57","startHours":25.681508682620716,"endHours":26.953974677634037,"quality":"auspicious"},{"name":"Amṛta","start":"02:57","end":"04:14","startHours":26.953974677634037,"endHours":28.22644067264736,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:30","startHours":28.22644067264736,"endHours":29.498906667660684,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.498906667660683,"endHours":6.498906667660683,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.498906667660683,"endHours":7.498906667660683,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.498906667660683,"endHours":8.498906667660684,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.498906667660684,"endHours":9.498906667660684,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.498906667660684,"endHours":10.498906667660684,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.498906667660684,"endHours":11.498906667660684,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.498906667660684,"endHours":12.498906667660684,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.498906667660684,"endHours":13.498906667660684,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.498906667660684,"endHours":14.498906667660684,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.498906667660684,"endHours":15.498906667660684,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.498906667660684,"endHours":16.498906667660684,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.498906667660684,"endHours":17.498906667660684,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.498906667660684,"endHours":18.498906667660684,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.498906667660684,"endHours":19.498906667660684,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.498906667660684,"endHours":20.498906667660684,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.498906667660684,"endHours":21.498906667660684,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.498906667660684,"endHours":22.498906667660684,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.498906667660684,"endHours":23.498906667660684,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.498906667660684,"endHours":24.498906667660684,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.498906667660684,"endHours":25.498906667660684,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.498906667660684,"endHours":26.498906667660684,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.498906667660684,"endHours":27.498906667660684,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.498906667660684,"endHours":28.498906667660684,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.498906667660684,"endHours":29.498906667660684,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.238198489175055,"eotMinutes":3.7534387435564067,"ayanamsa":23.9}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvādaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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 May 13, 2003 CE · Phoenix, USA · Vidhyamitra","description":"May 13, 2003 CE for Phoenix, USA: Śukla Dvādaśī, sūryodaya 05:30, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2003-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2003-05-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2003-05-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2003-05-13","x-default":"https://vidhyamitra.com/city/phoenix/2003-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T12:29:59.254Z","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":"2026-05-17T12:29:59.254Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T12:29:59.254Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}