{"id":"vidhyamitra:city-day:phoenix:1841-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1841-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1841-01-04","date_display":"January 4, 1841 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":1841,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2393474.770833,"kali_year":4942,"ahargana":1805009.2708,"sun":{"sidereal_longitude":262.1413,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":34.5189,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.3777,"elapsed_within_tithi_degrees":0.3777},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.5189,"elapsed_within_degrees":7.8523},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.6602},"karana":{"half_tithi_index":22,"name":"Bava"},"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":1841,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2393474.770833,"ahargana":1805009.2708,"kali_year":4942,"ayanamsa_lahiri":21.632,"grahas":{"sun":{"sidereal_longitude":261.9542200000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":31.50612000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":4.4954},"mars":{"sidereal_longitude":177.58772,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":245.67201999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":229.42161999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":303.58942,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":246.66092000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":301.9225,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.9225,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1841,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2393474.770833,"kali_year":4942,"ahargana":1805009.2708,"sun":{"sidereal_longitude":262.1413,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":34.5189,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.3777,"elapsed_within_tithi_degrees":0.3777},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.5189,"elapsed_within_degrees":7.8523},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.6602},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":132.378},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":47.622}},"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":"07:33","sunsetLocal":"17:34","solarNoonLocal":"12:33","dayLengthHours":10.006278183707458,"dayLengthDisplay":"10 Hours 00 Mins 23 Secs","nightLengthDisplay":"13 Hours 59 Mins 37 Secs","moonriseLocal":"14:17","moonsetLocal":"04:06","rahuKala":{"name":"Rāhu Kāla","start":"08:48","end":"10:03","startHours":8.802977462198804,"endHours":10.053762235162237,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:18","end":"12:33","startHours":11.30454700812567,"endHours":12.555331781089102,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:03","startHours":13.806116554052533,"endHours":15.056901327015966,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.886990932100446,"endHours":10.220533538224029,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.96912094688985,"endHours":8.235955031788716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.22178917496552,"endHours":12.888874387212683,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.218022264741045,"endHours":6.885107476988209,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.718336173926418,"endHours":7.552192689235373,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.223044811707013,"endHours":14.890130023954177,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.35847087294283,"endHours":17.75847087294283,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"17:59","startHours":17.55847087294283,"endHours":17.975399130597307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.30847087294283,"endHours":19.05847087294283,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.22178917496552,"endHours":24.888874387212685,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:33","end":"08:48","startHours":7.552192689235373,"endHours":8.802977462198804,"quality":"auspicious"},{"name":"Kāla","start":"08:48","end":"10:03","startHours":8.802977462198804,"endHours":10.053762235162237,"quality":"inauspicious"},{"name":"Śubha","start":"10:03","end":"11:18","startHours":10.053762235162237,"endHours":11.30454700812567,"quality":"auspicious"},{"name":"Roga","start":"11:18","end":"12:33","startHours":11.30454700812567,"endHours":12.555331781089102,"quality":"inauspicious"},{"name":"Udveg","start":"12:33","end":"13:48","startHours":12.555331781089102,"endHours":13.806116554052533,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:03","startHours":13.806116554052533,"endHours":15.056901327015966,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:18","startHours":15.056901327015966,"endHours":16.3076860999794,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:34","startHours":16.3076860999794,"endHours":17.55847087294283,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:34","end":"19:18","startHours":17.55847087294283,"endHours":19.3076860999794,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"21:03","startHours":19.3076860999794,"endHours":21.056901327015964,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:48","startHours":21.056901327015964,"endHours":22.806116554052533,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:33","startHours":22.806116554052533,"endHours":24.5553317810891,"quality":"inauspicious"},{"name":"Śubha","start":"00:33","end":"02:18","startHours":24.5553317810891,"endHours":26.30454700812567,"quality":"auspicious"},{"name":"Roga","start":"02:18","end":"04:03","startHours":26.30454700812567,"endHours":28.05376223516224,"quality":"inauspicious"},{"name":"Udveg","start":"04:03","end":"05:48","startHours":28.05376223516224,"endHours":29.802977462198804,"quality":"inauspicious"},{"name":"Chala","start":"05:48","end":"07:33","startHours":29.802977462198804,"endHours":31.552192689235373,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.552192689235373,"endHours":8.552192689235373,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.552192689235373,"endHours":9.552192689235373,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.552192689235373,"endHours":10.552192689235373,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.552192689235373,"endHours":11.552192689235373,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.552192689235373,"endHours":12.552192689235373,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.552192689235373,"endHours":13.552192689235373,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.552192689235373,"endHours":14.552192689235373,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.552192689235373,"endHours":15.552192689235373,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.552192689235373,"endHours":16.552192689235373,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.552192689235373,"endHours":17.552192689235373,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.552192689235373,"endHours":18.552192689235373,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.552192689235373,"endHours":19.552192689235373,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.552192689235373,"endHours":20.552192689235373,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.552192689235373,"endHours":21.552192689235373,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.552192689235373,"endHours":22.552192689235373,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.552192689235373,"endHours":23.552192689235373,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.552192689235373,"endHours":24.552192689235373,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.552192689235373,"endHours":25.552192689235373,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.552192689235373,"endHours":26.552192689235373,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.552192689235373,"endHours":27.552192689235373,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.552192689235373,"endHours":28.552192689235373,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.552192689235373,"endHours":29.552192689235373,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.552192689235373,"endHours":30.552192689235373,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.552192689235373,"endHours":31.552192689235373,"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"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.743287776547405,"eotMinutes":-5.02390686534617,"ayanamsa":21.632}},"calendars":{"vikram_samvat":1898,"vikram_samvatsara":"Ānanda","saka_samvat":1763,"saka_samvatsara":"Plava","bengali_samvat":1248,"malayalam_era":1017,"nanakshahi_year":372,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvādaśī · Vikram 1898 Ānanda · Śaka 1763 Plava"},"festivals":[],"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 January 4, 1841 CE · Phoenix, USA · Vidhyamitra","description":"January 4, 1841 CE for Phoenix, USA: Śukla Dvādaśī, sūryodaya 07:33, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1841-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1841-01-04","sa":"https://sa.vidhyamitra.com/city/phoenix/1841-01-04","hi":"https://hi.vidhyamitra.com/city/phoenix/1841-01-04","x-default":"https://vidhyamitra.com/city/phoenix/1841-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:03:21.631Z","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":"2026-06-03T04:03:21.631Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:03:21.631Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}