{"id":"vidhyamitra:city-day:phoenix:1877-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1877-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1877-01-18","date_display":"January 18, 1877 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":1877,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406637.770833,"kali_year":4978,"ahargana":1818172.2708,"sun":{"sidereal_longitude":276.1959,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.0202,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.8243,"elapsed_within_tithi_degrees":4.8243},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.0202,"elapsed_within_degrees":10.3535},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.2161},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":1877,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406637.770833,"ahargana":1818172.2708,"kali_year":4978,"ayanamsa_lahiri":22.1355,"grahas":{"sun":{"sidereal_longitude":275.979297,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":313.613597,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-0.5839},"mars":{"sidereal_longitude":221.75879699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":293.57719700000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":242.06109700000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":250.86799700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":314.67089699999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":324.4834,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":144.4834,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":1877,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406637.770833,"kali_year":4978,"ahargana":1818172.2708,"sun":{"sidereal_longitude":276.1959,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.0202,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.8243,"elapsed_within_tithi_degrees":4.8243},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.0202,"elapsed_within_degrees":10.3535},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.2161},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.584,"elongation":40.824},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.584,"opposition_distance":139.176}},"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":"07:32","sunsetLocal":"17:46","solarNoonLocal":"12:39","dayLengthHours":10.236028539082746,"dayLengthDisplay":"10 Hours 14 Mins 10 Secs","nightLengthDisplay":"13 Hours 45 Mins 50 Secs","moonriseLocal":"09:31","moonsetLocal":"20:47","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:12","startHours":13.92359072708017,"endHours":15.203094294465512,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:32","end":"08:48","startHours":7.526072890153453,"endHours":8.805576457538796,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"11:22","startHours":10.085080024924139,"endHours":11.364583592309483,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.91447954927276,"endHours":10.255680500575519,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:14","startHours":7.952574079281901,"endHours":8.225534840324109,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:18","end":"12:59","startHours":12.302886208392069,"endHours":12.985288110997585,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:10","end":"06:51","startHours":6.16126908494242,"endHours":6.843670987547937,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:32","startHours":6.673070511896558,"endHours":7.526072890153453,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:02","startHours":14.350091916208616,"endHours":15.032493818814132,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.5621014292362,"endHours":17.9621014292362,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:11","startHours":17.7621014292362,"endHours":18.188602618364648,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.5121014292362,"endHours":19.2621014292362,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:18","end":"00:59","startHours":24.302886208392067,"endHours":24.985288110997587,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:32","end":"08:48","startHours":7.526072890153453,"endHours":8.805576457538796,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:05","startHours":8.805576457538796,"endHours":10.085080024924139,"quality":"inauspicious"},{"name":"Udveg","start":"10:05","end":"11:22","startHours":10.085080024924139,"endHours":11.364583592309483,"quality":"inauspicious"},{"name":"Chala","start":"11:22","end":"12:39","startHours":11.364583592309483,"endHours":12.644087159694827,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"13:55","startHours":12.644087159694827,"endHours":13.92359072708017,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:12","startHours":13.92359072708017,"endHours":15.203094294465512,"quality":"auspicious"},{"name":"Kāla","start":"15:12","end":"16:29","startHours":15.203094294465512,"endHours":16.482597861850856,"quality":"inauspicious"},{"name":"Śubha","start":"16:29","end":"17:46","startHours":16.482597861850856,"endHours":17.7621014292362,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:46","end":"19:29","startHours":17.7621014292362,"endHours":19.482597861850856,"quality":"auspicious"},{"name":"Kāla","start":"19:29","end":"21:12","startHours":19.482597861850856,"endHours":21.203094294465515,"quality":"inauspicious"},{"name":"Śubha","start":"21:12","end":"22:55","startHours":21.203094294465515,"endHours":22.92359072708017,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:39","startHours":22.92359072708017,"endHours":24.644087159694827,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:22","startHours":24.644087159694827,"endHours":26.364583592309483,"quality":"inauspicious"},{"name":"Chala","start":"02:22","end":"04:05","startHours":26.364583592309483,"endHours":28.08508002492414,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:48","startHours":28.08508002492414,"endHours":29.8055764575388,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:32","startHours":29.8055764575388,"endHours":31.526072890153454,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:32","end":"08:32","startHours":7.526072890153453,"endHours":8.526072890153454,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:32","end":"09:32","startHours":8.526072890153454,"endHours":9.526072890153454,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:32","end":"10:32","startHours":9.526072890153454,"endHours":10.526072890153454,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:32","end":"11:32","startHours":10.526072890153454,"endHours":11.526072890153454,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:32","end":"12:32","startHours":11.526072890153454,"endHours":12.526072890153454,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:32","end":"13:32","startHours":12.526072890153454,"endHours":13.526072890153454,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:32","end":"14:32","startHours":13.526072890153454,"endHours":14.526072890153454,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:32","end":"15:32","startHours":14.526072890153454,"endHours":15.526072890153454,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:32","end":"16:32","startHours":15.526072890153454,"endHours":16.526072890153454,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:32","end":"17:32","startHours":16.526072890153454,"endHours":17.526072890153454,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:32","end":"18:32","startHours":17.526072890153454,"endHours":18.526072890153454,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:32","end":"19:32","startHours":18.526072890153454,"endHours":19.526072890153454,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:32","end":"20:32","startHours":19.526072890153454,"endHours":20.526072890153454,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:32","end":"21:32","startHours":20.526072890153454,"endHours":21.526072890153454,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:32","end":"22:32","startHours":21.526072890153454,"endHours":22.526072890153454,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:32","end":"23:32","startHours":22.526072890153454,"endHours":23.526072890153454,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:32","end":"00:32","startHours":23.526072890153454,"endHours":24.526072890153454,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:32","end":"01:32","startHours":24.526072890153454,"endHours":25.526072890153454,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:32","end":"02:32","startHours":25.526072890153454,"endHours":26.526072890153454,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:32","end":"03:32","startHours":26.526072890153454,"endHours":27.526072890153454,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:32","end":"04:32","startHours":27.526072890153454,"endHours":28.526072890153454,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:32","end":"05:32","startHours":28.526072890153454,"endHours":29.526072890153454,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:32","end":"06:32","startHours":29.526072890153454,"endHours":30.526072890153454,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:32","end":"07:32","startHours":30.526072890153454,"endHours":31.526072890153454,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","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":-20.536382785079425,"eotMinutes":-10.349229581689698,"ayanamsa":22.1355}},"calendars":{"vikram_samvat":1934,"vikram_samvatsara":"Vikṛti","saka_samvat":1799,"saka_samvatsara":"Īśvara","bengali_samvat":1284,"malayalam_era":1053,"nanakshahi_year":408,"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 1934 Vikṛti · Śaka 1799 Īśvara"},"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":"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":[]},"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 18, 1877 CE · Phoenix, USA · Vidhyamitra","description":"January 18, 1877 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 07:32, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1877-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1877-01-18","sa":"https://sa.vidhyamitra.com/city/phoenix/1877-01-18","hi":"https://hi.vidhyamitra.com/city/phoenix/1877-01-18","x-default":"https://vidhyamitra.com/city/phoenix/1877-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:49:14.875Z","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":"2026-06-02T15:49:14.875Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:49:14.875Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}