{"id":"vidhyamitra:city-day:phoenix:2004-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2004-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-04-20","date_display":"April 20, 2004 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":2004,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453115.770833,"kali_year":5106,"ahargana":1864650.2708,"sun":{"sidereal_longitude":6.491,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":13.8644,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.3734,"elapsed_within_tithi_degrees":7.3734},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":13.8644,"elapsed_within_degrees":0.531},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.3554},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2004,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453115.770833,"ahargana":1864650.2708,"kali_year":5106,"ayanamsa_lahiri":23.9131,"grahas":{"sun":{"sidereal_longitude":6.391695000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":11.837094999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-0.6249},"mars":{"sidereal_longitude":54.98909500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":1.4257949999999937,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":135.472395,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":50.19079499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":73.92749500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":21.8553,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.8553,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2004,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453115.770833,"kali_year":5106,"ahargana":1864650.2708,"sun":{"sidereal_longitude":6.491,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":13.8644,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.3734,"elapsed_within_tithi_degrees":7.3734},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":13.8644,"elapsed_within_degrees":0.531},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.3554},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.625,"elongation":7.373},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.625,"opposition_distance":172.627}},"eclipse_window_40days":[{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":-0.097,"opposition_distance":1.287}]},"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":"05:52","sunsetLocal":"19:03","solarNoonLocal":"12:27","dayLengthHours":13.17434716359041,"dayLengthDisplay":"13 Hours 10 Mins 28 Secs","nightLengthDisplay":"10 Hours 49 Mins 32 Secs","moonriseLocal":"06:10","moonsetLocal":"19:28","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:24","startHours":15.749057399803586,"endHours":17.395850795252386,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:49","startHours":9.161883818008382,"endHours":10.808677213457184,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:27","end":"14:06","startHours":12.455470608905983,"endHours":14.102264004354785,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:23","startHours":8.942311365281874,"endHours":9.381456270734889,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.417228158927046,"endHours":6.7685440832894574,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:54","startHours":12.01632570345297,"endHours":12.894615514358996,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.111717405298725,"endHours":4.990007216204752,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:52","startHours":4.770434763478246,"endHours":5.8682970271107795,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.651195136171053,"endHours":15.52948494707708,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.84264419070119,"endHours":19.24264419070119,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:35","startHours":19.04264419070119,"endHours":19.591575322517457,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.79264419070119,"endHours":20.54264419070119,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:54","startHours":24.01632570345297,"endHours":24.894615514358996,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:52","end":"07:31","startHours":5.8682970271107795,"endHours":7.515090422559581,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:10","startHours":7.515090422559581,"endHours":9.161883818008382,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:49","startHours":9.161883818008382,"endHours":10.808677213457184,"quality":"neutral"},{"name":"Labha","start":"10:49","end":"12:27","startHours":10.808677213457184,"endHours":12.455470608905983,"quality":"auspicious"},{"name":"Amṛta","start":"12:27","end":"14:06","startHours":12.455470608905983,"endHours":14.102264004354785,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:45","startHours":14.102264004354785,"endHours":15.749057399803586,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:24","startHours":15.749057399803586,"endHours":17.395850795252386,"quality":"auspicious"},{"name":"Roga","start":"17:24","end":"19:03","startHours":17.395850795252386,"endHours":19.04264419070119,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:24","startHours":19.04264419070119,"endHours":20.39585079525239,"quality":"inauspicious"},{"name":"Śubha","start":"20:24","end":"21:45","startHours":20.39585079525239,"endHours":21.749057399803586,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"23:06","startHours":21.749057399803586,"endHours":23.102264004354787,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:27","startHours":23.102264004354787,"endHours":24.455470608905983,"quality":"inauspicious"},{"name":"Chala","start":"00:27","end":"01:49","startHours":24.455470608905983,"endHours":25.808677213457184,"quality":"neutral"},{"name":"Labha","start":"01:49","end":"03:10","startHours":25.808677213457184,"endHours":27.161883818008384,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:31","startHours":27.161883818008384,"endHours":28.51509042255958,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:52","startHours":28.51509042255958,"endHours":29.868297027110778,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.8682970271107795,"endHours":6.8682970271107795,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.8682970271107795,"endHours":7.8682970271107795,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.8682970271107795,"endHours":8.86829702711078,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.86829702711078,"endHours":9.86829702711078,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.86829702711078,"endHours":10.86829702711078,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.86829702711078,"endHours":11.86829702711078,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.86829702711078,"endHours":12.86829702711078,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.86829702711078,"endHours":13.86829702711078,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.86829702711078,"endHours":14.86829702711078,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.86829702711078,"endHours":15.86829702711078,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.86829702711078,"endHours":16.868297027110778,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.868297027110778,"endHours":17.868297027110778,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.868297027110778,"endHours":18.868297027110778,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.868297027110778,"endHours":19.868297027110778,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.868297027110778,"endHours":20.868297027110778,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.868297027110778,"endHours":21.868297027110778,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.868297027110778,"endHours":22.868297027110778,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.868297027110778,"endHours":23.868297027110778,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.868297027110778,"endHours":24.868297027110778,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.868297027110778,"endHours":25.868297027110778,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.868297027110778,"endHours":26.868297027110778,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.868297027110778,"endHours":27.868297027110778,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.868297027110778,"endHours":28.868297027110778,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.868297027110778,"endHours":29.868297027110778,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.577647628157303,"eotMinutes":0.9677634656409275,"ayanamsa":23.9131}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"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 April 20, 2004 CE · Phoenix, USA · Vidhyamitra","description":"April 20, 2004 CE for Phoenix, USA: Śukla Pratipada, sūryodaya 05:52, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2004-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2004-04-20","sa":"https://sa.vidhyamitra.com/city/phoenix/2004-04-20","hi":"https://hi.vidhyamitra.com/city/phoenix/2004-04-20","x-default":"https://vidhyamitra.com/city/phoenix/2004-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:03:14.662Z","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":"2026-05-31T22:03:14.662Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:03:14.662Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}