{"id":"vidhyamitra:city-day:phoenix:1900-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1900-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1900-12-04","date_display":"December 4, 1900 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":1900,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415357.770833,"kali_year":5002,"ahargana":1826892.2708,"sun":{"sidereal_longitude":228.75,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":18.5586,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.8086,"elapsed_within_tithi_degrees":5.8086},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.5586,"elapsed_within_degrees":5.2252},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.3086},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1900,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415357.770833,"ahargana":1826892.2708,"kali_year":5002,"ayanamsa_lahiri":22.469,"grahas":{"sun":{"sidereal_longitude":228.98362900000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":16.648528999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":1.8214},"mars":{"sidereal_longitude":133.107329,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":210.29662899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":238.62302899999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":195.17082900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":253.17012899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":222.4559,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":42.4559,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1900,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415357.770833,"kali_year":5002,"ahargana":1826892.2708,"sun":{"sidereal_longitude":228.75,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":18.5586,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.8086,"elapsed_within_tithi_degrees":5.8086},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.5586,"elapsed_within_degrees":5.2252},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.3086},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.821,"elongation":149.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.821,"opposition_distance":30.191}},"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":"07:17","sunsetLocal":"17:21","solarNoonLocal":"12:19","dayLengthHours":10.0686197241156,"dayLengthDisplay":"10 Hours 04 Mins 07 Secs","nightLengthDisplay":"13 Hours 55 Mins 53 Secs","moonriseLocal":"15:28","moonsetLocal":"04:52","rahuKala":{"name":"Rāhu Kāla","start":"14:50","end":"16:06","startHours":14.839407855460513,"endHours":16.097985320974963,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:04","startHours":9.805097993402713,"endHours":11.063675458917164,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:35","startHours":12.322252924431613,"endHours":13.580830389946062,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.637287664667454,"endHours":9.972908322137974,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:59","startHours":7.707468884211963,"endHours":7.975965410188379,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:39","startHours":11.986632266961093,"endHours":12.657873581902132,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:37","startHours":5.945460432491733,"endHours":6.616701747432773,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:27","end":"07:17","startHours":6.448891418697513,"endHours":7.287943062373813,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:40","startHours":14.000356211784213,"endHours":14.671597526725254,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.156562786489413,"endHours":17.556562786489412,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.356562786489413,"endHours":17.776088608327562,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.106562786489413,"endHours":18.856562786489413,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:39","startHours":23.98663226696109,"endHours":24.657873581902134,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:17","end":"08:33","startHours":7.287943062373813,"endHours":8.546520527888262,"quality":"inauspicious"},{"name":"Udveg","start":"08:33","end":"09:48","startHours":8.546520527888262,"endHours":9.805097993402713,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:04","startHours":9.805097993402713,"endHours":11.063675458917164,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:19","startHours":11.063675458917164,"endHours":12.322252924431613,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:35","startHours":12.322252924431613,"endHours":13.580830389946062,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"14:50","startHours":13.580830389946062,"endHours":14.839407855460513,"quality":"inauspicious"},{"name":"Śubha","start":"14:50","end":"16:06","startHours":14.839407855460513,"endHours":16.097985320974963,"quality":"auspicious"},{"name":"Roga","start":"16:06","end":"17:21","startHours":16.097985320974963,"endHours":17.356562786489413,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:21","end":"19:06","startHours":17.356562786489413,"endHours":19.097985320974963,"quality":"inauspicious"},{"name":"Śubha","start":"19:06","end":"20:50","startHours":19.097985320974963,"endHours":20.839407855460514,"quality":"auspicious"},{"name":"Roga","start":"20:50","end":"22:35","startHours":20.839407855460514,"endHours":22.580830389946062,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"00:19","startHours":22.580830389946062,"endHours":24.322252924431613,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"02:04","startHours":24.322252924431613,"endHours":26.063675458917164,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:48","startHours":26.063675458917164,"endHours":27.80509799340271,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:33","startHours":27.80509799340271,"endHours":29.546520527888262,"quality":"auspicious"},{"name":"Kāla","start":"05:33","end":"07:17","startHours":29.546520527888262,"endHours":31.287943062373813,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:17","end":"08:17","startHours":7.287943062373813,"endHours":8.287943062373813,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:17","end":"09:17","startHours":8.287943062373813,"endHours":9.287943062373813,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:17","end":"10:17","startHours":9.287943062373813,"endHours":10.287943062373813,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:17","end":"11:17","startHours":10.287943062373813,"endHours":11.287943062373813,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:17","end":"12:17","startHours":11.287943062373813,"endHours":12.287943062373813,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:17","end":"13:17","startHours":12.287943062373813,"endHours":13.287943062373813,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:17","end":"14:17","startHours":13.287943062373813,"endHours":14.287943062373813,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:17","end":"15:17","startHours":14.287943062373813,"endHours":15.287943062373813,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:17","end":"16:17","startHours":15.287943062373813,"endHours":16.287943062373813,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:17","end":"17:17","startHours":16.287943062373813,"endHours":17.287943062373813,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:17","end":"18:17","startHours":17.287943062373813,"endHours":18.287943062373813,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:17","end":"19:17","startHours":18.287943062373813,"endHours":19.287943062373813,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:17","end":"20:17","startHours":19.287943062373813,"endHours":20.287943062373813,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:17","end":"21:17","startHours":20.287943062373813,"endHours":21.287943062373813,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:17","end":"22:17","startHours":21.287943062373813,"endHours":22.287943062373813,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:17","end":"23:17","startHours":22.287943062373813,"endHours":23.287943062373813,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:17","end":"00:17","startHours":23.287943062373813,"endHours":24.287943062373813,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:17","end":"01:17","startHours":24.287943062373813,"endHours":25.287943062373813,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:17","end":"02:17","startHours":25.287943062373813,"endHours":26.287943062373813,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:17","end":"03:17","startHours":26.287943062373813,"endHours":27.287943062373813,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:17","end":"04:17","startHours":27.287943062373813,"endHours":28.287943062373813,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:17","end":"05:17","startHours":28.287943062373813,"endHours":29.287943062373813,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:17","end":"06:17","startHours":29.287943062373813,"endHours":30.287943062373813,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:17","end":"07:17","startHours":30.287943062373813,"endHours":31.287943062373813,"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":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.152595862190466,"eotMinutes":8.960824534103129,"ayanamsa":22.469}},"calendars":{"vikram_samvat":1957,"vikram_samvatsara":"Pramādī","saka_samvat":1822,"saka_samvatsara":"Śārvarī","bengali_samvat":1307,"malayalam_era":1076,"nanakshahi_year":431,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 1957 Pramādī · Śaka 1822 Śārvarī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 December 4, 1900 CE · Phoenix, USA · Vidhyamitra","description":"December 4, 1900 CE for Phoenix, USA: Śukla Trayodaśī, sūryodaya 07:17, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1900-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1900-12-04","sa":"https://sa.vidhyamitra.com/city/phoenix/1900-12-04","hi":"https://hi.vidhyamitra.com/city/phoenix/1900-12-04","x-default":"https://vidhyamitra.com/city/phoenix/1900-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:30:15.708Z","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":"2026-06-02T10:30:15.708Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:30:15.708Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}