{"id":"vidhyamitra:city-day:phoenix:1876-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1876-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1876-01-20","date_display":"January 20, 1876 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":1876,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406273.770833,"kali_year":4977,"ahargana":1817808.2708,"sun":{"sidereal_longitude":277.4867,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":203.64,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1533,"elapsed_within_tithi_degrees":10.1533},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.64,"elapsed_within_degrees":3.64},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.1268},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1876,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406273.770833,"ahargana":1817808.2708,"kali_year":4977,"ayanamsa_lahiri":22.1215,"grahas":{"sun":{"sidereal_longitude":277.257304,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":205.732804,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-2.883},"mars":{"sidereal_longitude":341.998504,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":294.36850400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":216.62940400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":307.70760399999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":304.112204,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":343.7699,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.7699,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1876,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406273.770833,"kali_year":4977,"ahargana":1817808.2708,"sun":{"sidereal_longitude":277.4867,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":203.64,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1533,"elapsed_within_tithi_degrees":10.1533},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.64,"elapsed_within_degrees":3.64},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.1268},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.883,"elongation":73.847},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.883,"opposition_distance":106.153}},"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":10.262345834060149,"dayLengthDisplay":"10 Hours 15 Mins 44 Secs","nightLengthDisplay":"13 Hours 44 Mins 16 Secs","moonriseLocal":"02:37","moonsetLocal":"13:09","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:13","startHours":13.93713161821134,"endHours":15.21992484746886,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:31","end":"08:48","startHours":7.523165471923748,"endHours":8.805958701181266,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"11:22","startHours":10.088751930438786,"endHours":11.371545159696304,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:16","startHours":9.91771283320445,"endHours":10.25979102767312,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:13","startHours":7.950763215009587,"endHours":8.224425770584524,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.31226019448515,"endHours":12.996416583422493,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:50","startHours":6.154852694049062,"endHours":6.839009082986404,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:31","startHours":6.667969985752069,"endHours":7.523165471923748,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:03","startHours":14.36472936129718,"endHours":15.048885750234522,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.585511305983896,"endHours":17.985511305983895,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.785511305983896,"endHours":18.213109049069736,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.535511305983896,"endHours":19.285511305983896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.312260194485148,"endHours":24.996416583422494,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:31","end":"08:48","startHours":7.523165471923748,"endHours":8.805958701181266,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:05","startHours":8.805958701181266,"endHours":10.088751930438786,"quality":"inauspicious"},{"name":"Udveg","start":"10:05","end":"11:22","startHours":10.088751930438786,"endHours":11.371545159696304,"quality":"inauspicious"},{"name":"Chala","start":"11:22","end":"12:39","startHours":11.371545159696304,"endHours":12.654338388953821,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.93713161821134,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:13","startHours":13.93713161821134,"endHours":15.21992484746886,"quality":"auspicious"},{"name":"Kāla","start":"15:13","end":"16:30","startHours":15.21992484746886,"endHours":16.502718076726378,"quality":"inauspicious"},{"name":"Śubha","start":"16:30","end":"17:47","startHours":16.502718076726378,"endHours":17.785511305983896,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:30","startHours":17.785511305983896,"endHours":19.502718076726378,"quality":"auspicious"},{"name":"Kāla","start":"19:30","end":"21:13","startHours":19.502718076726378,"endHours":21.21992484746886,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:56","startHours":21.21992484746886,"endHours":22.93713161821134,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:39","startHours":22.93713161821134,"endHours":24.65433838895382,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:22","startHours":24.65433838895382,"endHours":26.371545159696304,"quality":"inauspicious"},{"name":"Chala","start":"02:22","end":"04:05","startHours":26.371545159696304,"endHours":28.088751930438782,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:48","startHours":28.088751930438782,"endHours":29.805958701181265,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:31","startHours":29.805958701181265,"endHours":31.523165471923747,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:31","end":"08:31","startHours":7.523165471923748,"endHours":8.523165471923747,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:31","end":"09:31","startHours":8.523165471923747,"endHours":9.523165471923747,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:31","end":"10:31","startHours":9.523165471923747,"endHours":10.523165471923747,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:31","end":"11:31","startHours":10.523165471923747,"endHours":11.523165471923747,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:31","end":"12:31","startHours":11.523165471923747,"endHours":12.523165471923747,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:31","end":"13:31","startHours":12.523165471923747,"endHours":13.523165471923747,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:31","end":"14:31","startHours":13.523165471923747,"endHours":14.523165471923747,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:31","end":"15:31","startHours":14.523165471923747,"endHours":15.523165471923747,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:31","end":"16:31","startHours":15.523165471923747,"endHours":16.523165471923747,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:31","end":"17:31","startHours":16.523165471923747,"endHours":17.523165471923747,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:31","end":"18:31","startHours":17.523165471923747,"endHours":18.523165471923747,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:31","end":"19:31","startHours":18.523165471923747,"endHours":19.523165471923747,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:31","end":"20:31","startHours":19.523165471923747,"endHours":20.523165471923747,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:31","end":"21:31","startHours":20.523165471923747,"endHours":21.523165471923747,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:31","end":"22:31","startHours":21.523165471923747,"endHours":22.523165471923747,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:31","end":"23:31","startHours":22.523165471923747,"endHours":23.523165471923747,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:31","end":"00:31","startHours":23.523165471923747,"endHours":24.523165471923747,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:31","end":"01:31","startHours":24.523165471923747,"endHours":25.523165471923747,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:31","end":"02:31","startHours":25.523165471923747,"endHours":26.523165471923747,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:31","end":"03:31","startHours":26.523165471923747,"endHours":27.523165471923747,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:31","end":"04:31","startHours":27.523165471923747,"endHours":28.523165471923747,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:31","end":"05:31","startHours":28.523165471923747,"endHours":29.523165471923747,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:31","end":"06:31","startHours":29.523165471923747,"endHours":30.523165471923747,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:31","end":"07:31","startHours":30.523165471923747,"endHours":31.523165471923747,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","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":-20.278410300340905,"eotMinutes":-10.9643033372293,"ayanamsa":22.1215}},"calendars":{"vikram_samvat":1933,"vikram_samvatsara":"Virodhi","saka_samvat":1798,"saka_samvatsara":"Dhātṛ","bengali_samvat":1283,"malayalam_era":1052,"nanakshahi_year":407,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","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 Kṛṣṇa Navamī · Vikram 1933 Virodhi · Śaka 1798 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 20, 1876 CE · Phoenix, USA · Vidhyamitra","description":"January 20, 1876 CE for Phoenix, USA: Kṛṣṇa Navamī, sūryodaya 07:31, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1876-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1876-01-20","sa":"https://sa.vidhyamitra.com/city/phoenix/1876-01-20","hi":"https://hi.vidhyamitra.com/city/phoenix/1876-01-20","x-default":"https://vidhyamitra.com/city/phoenix/1876-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:42:18.323Z","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":"2026-06-02T04:42:18.323Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:42:18.323Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}