{"id":"vidhyamitra:city-day:phoenix:1841-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1841-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1841-01-03","date_display":"January 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2393473.770833,"kali_year":4942,"ahargana":1805008.2708,"sun":{"sidereal_longitude":261.1133,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":20.7188,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.6055,"elapsed_within_tithi_degrees":11.6055},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7188,"elapsed_within_degrees":7.3855},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.8321},"karana":{"half_tithi_index":19,"name":"Gara"},"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":1841,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2393473.770833,"ahargana":1805008.2708,"kali_year":4942,"ayanamsa_lahiri":21.632,"grahas":{"sun":{"sidereal_longitude":260.9348580000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":17.19145800000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":4.4133},"mars":{"sidereal_longitude":177.11985800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":244.25335799999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":229.218258,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":302.38645799999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":246.54595800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":301.9755,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.9755,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2393473.770833,"kali_year":4942,"ahargana":1805008.2708,"sun":{"sidereal_longitude":261.1133,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":20.7188,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.6055,"elapsed_within_tithi_degrees":11.6055},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7188,"elapsed_within_degrees":7.3855},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.8321},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.413,"elongation":119.606},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.413,"opposition_distance":60.394}},"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":"17:33","solarNoonLocal":"12:33","dayLengthHours":9.995712600057523,"dayLengthDisplay":"9 Hours 59 Mins 45 Secs","nightLengthDisplay":"14 Hours 00 Mins 15 Secs","moonriseLocal":"13:36","moonsetLocal":"03:00","rahuKala":{"name":"Rāhu Kāla","start":"16:18","end":"17:33","startHours":16.296482572199206,"endHours":17.545946647206396,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.797554422184824,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:18","startHours":15.047018497192015,"endHours":16.296482572199206,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.882566987162296,"endHours":10.215757407164212,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.96672207215127,"endHours":8.233274408152804,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.214899927175717,"endHours":12.881280767179552,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.2174723671412035,"endHours":6.883853207145038,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.717257997144079,"endHours":7.550234047148873,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.214042447187222,"endHours":14.880423287191057,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.345946647206397,"endHours":17.745946647206395,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.545946647206396,"endHours":17.962434672208794,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.295946647206396,"endHours":19.045946647206396,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.21489992717572,"endHours":24.88128076717955,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:33","end":"08:48","startHours":7.550234047148873,"endHours":8.799698122156062,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:03","startHours":8.799698122156062,"endHours":10.049162197163254,"quality":"neutral"},{"name":"Labha","start":"10:03","end":"11:18","startHours":10.049162197163254,"endHours":11.298626272170445,"quality":"auspicious"},{"name":"Amṛta","start":"11:18","end":"12:33","startHours":11.298626272170445,"endHours":12.548090347177634,"quality":"auspicious"},{"name":"Kāla","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.797554422184824,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:03","startHours":13.797554422184824,"endHours":15.047018497192015,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:18","startHours":15.047018497192015,"endHours":16.296482572199206,"quality":"inauspicious"},{"name":"Udveg","start":"16:18","end":"17:33","startHours":16.296482572199206,"endHours":17.545946647206396,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:33","end":"19:18","startHours":17.545946647206396,"endHours":19.296482572199206,"quality":"auspicious"},{"name":"Roga","start":"19:18","end":"21:03","startHours":19.296482572199206,"endHours":21.047018497192013,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:48","startHours":21.047018497192013,"endHours":22.797554422184824,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:33","startHours":22.797554422184824,"endHours":24.548090347177634,"quality":"neutral"},{"name":"Labha","start":"00:33","end":"02:18","startHours":24.548090347177634,"endHours":26.298626272170445,"quality":"auspicious"},{"name":"Amṛta","start":"02:18","end":"04:03","startHours":26.298626272170445,"endHours":28.049162197163255,"quality":"auspicious"},{"name":"Kāla","start":"04:03","end":"05:48","startHours":28.049162197163255,"endHours":29.799698122156062,"quality":"inauspicious"},{"name":"Śubha","start":"05:48","end":"07:33","startHours":29.799698122156062,"endHours":31.550234047148873,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.550234047148873,"endHours":8.550234047148873,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.550234047148873,"endHours":9.550234047148873,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.550234047148873,"endHours":10.550234047148873,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.550234047148873,"endHours":11.550234047148873,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.550234047148873,"endHours":12.550234047148873,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.550234047148873,"endHours":13.550234047148873,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.550234047148873,"endHours":14.550234047148873,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.550234047148873,"endHours":15.550234047148873,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.550234047148873,"endHours":16.550234047148873,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.550234047148873,"endHours":17.550234047148873,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.550234047148873,"endHours":18.550234047148873,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.550234047148873,"endHours":19.550234047148873,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.550234047148873,"endHours":20.550234047148873,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.550234047148873,"endHours":21.550234047148873,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.550234047148873,"endHours":22.550234047148873,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.550234047148873,"endHours":23.550234047148873,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.550234047148873,"endHours":24.550234047148873,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.550234047148873,"endHours":25.550234047148873,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.550234047148873,"endHours":26.550234047148873,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.550234047148873,"endHours":27.550234047148873,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.550234047148873,"endHours":28.550234047148873,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.550234047148873,"endHours":29.550234047148873,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.550234047148873,"endHours":30.550234047148873,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.550234047148873,"endHours":31.550234047148873,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"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":-22.84278672740953,"eotMinutes":-4.589420830658165,"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 Daśamī · Vikram 1898 Ānanda · Śaka 1763 Plava"},"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 January 3, 1841 CE · Phoenix, USA · Vidhyamitra","description":"January 3, 1841 CE for Phoenix, USA: Śukla Daśamī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1841-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1841-01-03","sa":"https://sa.vidhyamitra.com/city/phoenix/1841-01-03","hi":"https://hi.vidhyamitra.com/city/phoenix/1841-01-03","x-default":"https://vidhyamitra.com/city/phoenix/1841-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:07:50.676Z","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":"2026-06-03T03:07:50.676Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:07:50.676Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}