{"id":"vidhyamitra:city-day:phoenix:1847-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1847-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1847-01-20","date_display":"January 20, 1847 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":1847,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395681.770833,"kali_year":4948,"ahargana":1807216.2708,"sun":{"sidereal_longitude":278.0034,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":316.9273,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9239,"elapsed_within_tithi_degrees":2.9239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":316.9273,"elapsed_within_degrees":10.2607},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9307},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1847,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395681.770833,"ahargana":1807216.2708,"kali_year":4948,"ayanamsa_lahiri":21.7164,"grahas":{"sun":{"sidereal_longitude":277.703396,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":319.588696,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":3.3456},"mars":{"sidereal_longitude":235.330696,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.63349600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":47.07829600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":288.192096,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":309.588296,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":184.985,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":1847,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395681.770833,"kali_year":4948,"ahargana":1807216.2708,"sun":{"sidereal_longitude":278.0034,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":316.9273,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9239,"elapsed_within_tithi_degrees":2.9239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":316.9273,"elapsed_within_degrees":10.2607},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9307},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.346,"elongation":38.924},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.346,"opposition_distance":141.076}},"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":"07:31","sunsetLocal":"17:47","solarNoonLocal":"12:39","dayLengthHours":10.263214427656834,"dayLengthDisplay":"10 Hours 15 Mins 48 Secs","nightLengthDisplay":"13 Hours 44 Mins 12 Secs","moonriseLocal":"09:43","moonsetLocal":"21:10","rahuKala":{"name":"Rāhu Kāla","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.937240192410925,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:05","startHours":8.805632978582508,"endHours":10.088534782039613,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:22","end":"12:39","startHours":11.371436585496717,"endHours":12.654338388953821,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:16","startHours":9.91748120824533,"endHours":10.259588355833893,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:13","startHours":7.950365109611105,"endHours":8.224050827681953,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.31223124136526,"endHours":12.996445536542382,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:50","startHours":6.154302584771159,"endHours":6.838516879948281,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:31","startHours":6.6674633061540005,"endHours":7.522731175125403,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:03","startHours":14.364874126896627,"endHours":15.04908842207375,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58594560278224,"endHours":17.985945602782238,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.78594560278224,"endHours":18.21357953726794,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53594560278224,"endHours":19.28594560278224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.31223124136526,"endHours":24.99644553654238,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:31","end":"08:48","startHours":7.522731175125403,"endHours":8.805632978582508,"quality":"auspicious"},{"name":"Amṛta","start":"08:48","end":"10:05","startHours":8.805632978582508,"endHours":10.088534782039613,"quality":"auspicious"},{"name":"Kāla","start":"10:05","end":"11:22","startHours":10.088534782039613,"endHours":11.371436585496717,"quality":"inauspicious"},{"name":"Śubha","start":"11:22","end":"12:39","startHours":11.371436585496717,"endHours":12.654338388953821,"quality":"auspicious"},{"name":"Roga","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.937240192410925,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:13","startHours":13.937240192410925,"endHours":15.22014199586803,"quality":"inauspicious"},{"name":"Chala","start":"15:13","end":"16:30","startHours":15.22014199586803,"endHours":16.503043799325134,"quality":"neutral"},{"name":"Labha","start":"16:30","end":"17:47","startHours":16.503043799325134,"endHours":17.78594560278224,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:47","end":"19:30","startHours":17.78594560278224,"endHours":19.503043799325134,"quality":"inauspicious"},{"name":"Chala","start":"19:30","end":"21:13","startHours":19.503043799325134,"endHours":21.22014199586803,"quality":"neutral"},{"name":"Labha","start":"21:13","end":"22:56","startHours":21.22014199586803,"endHours":22.937240192410925,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:39","startHours":22.937240192410925,"endHours":24.65433838895382,"quality":"auspicious"},{"name":"Kāla","start":"00:39","end":"02:22","startHours":24.65433838895382,"endHours":26.371436585496717,"quality":"inauspicious"},{"name":"Śubha","start":"02:22","end":"04:05","startHours":26.371436585496717,"endHours":28.088534782039613,"quality":"auspicious"},{"name":"Roga","start":"04:05","end":"05:48","startHours":28.088534782039613,"endHours":29.80563297858251,"quality":"inauspicious"},{"name":"Udveg","start":"05:48","end":"07:31","startHours":29.80563297858251,"endHours":31.522731175125404,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:31","end":"08:31","startHours":7.522731175125403,"endHours":8.522731175125404,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:31","end":"09:31","startHours":8.522731175125404,"endHours":9.522731175125404,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:31","end":"10:31","startHours":9.522731175125404,"endHours":10.522731175125404,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:31","end":"11:31","startHours":10.522731175125404,"endHours":11.522731175125404,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:31","end":"12:31","startHours":11.522731175125404,"endHours":12.522731175125404,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:31","end":"13:31","startHours":12.522731175125404,"endHours":13.522731175125404,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:31","end":"14:31","startHours":13.522731175125404,"endHours":14.522731175125404,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:31","end":"15:31","startHours":14.522731175125404,"endHours":15.522731175125404,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:31","end":"16:31","startHours":15.522731175125404,"endHours":16.522731175125404,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:31","end":"17:31","startHours":16.522731175125404,"endHours":17.522731175125404,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:31","end":"18:31","startHours":17.522731175125404,"endHours":18.522731175125404,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:31","end":"19:31","startHours":18.522731175125404,"endHours":19.522731175125404,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:31","end":"20:31","startHours":19.522731175125404,"endHours":20.522731175125404,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:31","end":"21:31","startHours":20.522731175125404,"endHours":21.522731175125404,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:31","end":"22:31","startHours":21.522731175125404,"endHours":22.522731175125404,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:31","end":"23:31","startHours":22.522731175125404,"endHours":23.522731175125404,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:31","end":"00:31","startHours":23.522731175125404,"endHours":24.522731175125404,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:31","end":"01:31","startHours":24.522731175125404,"endHours":25.522731175125404,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:31","end":"02:31","startHours":25.522731175125404,"endHours":26.522731175125404,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:31","end":"03:31","startHours":26.522731175125404,"endHours":27.522731175125404,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:31","end":"04:31","startHours":27.522731175125404,"endHours":28.522731175125404,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:31","end":"05:31","startHours":28.522731175125404,"endHours":29.522731175125404,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:31","end":"06:31","startHours":29.522731175125404,"endHours":30.522731175125404,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:31","end":"07:31","startHours":30.522731175125404,"endHours":31.522731175125404,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.26987825381433,"eotMinutes":-10.9643033372293,"ayanamsa":21.7164}},"calendars":{"vikram_samvat":1904,"vikram_samvatsara":"Raudra","saka_samvat":1769,"saka_samvatsara":"Plavaṅga","bengali_samvat":1254,"malayalam_era":1023,"nanakshahi_year":378,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 1904 Raudra · Śaka 1769 Plavaṅga"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 20, 1847 CE · Phoenix, USA · Vidhyamitra","description":"January 20, 1847 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 07:31, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1847-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1847-01-20","sa":"https://sa.vidhyamitra.com/city/phoenix/1847-01-20","hi":"https://hi.vidhyamitra.com/city/phoenix/1847-01-20","x-default":"https://vidhyamitra.com/city/phoenix/1847-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T10:18:47.072Z","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":"2026-06-03T10:18:47.072Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T10:18:47.072Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}