{"id":"vidhyamitra:city-day:phoenix:1865-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1865-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-01-15","date_display":"January 15, 1865 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":1865,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402251.770833,"kali_year":4966,"ahargana":1813786.2708,"sun":{"sidereal_longitude":273.2256,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":130.8414,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.6157,"elapsed_within_tithi_degrees":1.6157},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.8414,"elapsed_within_degrees":10.8414},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.067},"karana":{"half_tithi_index":36,"name":"Bava"},"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":1865,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402251.770833,"ahargana":1813786.2708,"kali_year":4966,"ayanamsa_lahiri":21.9677,"grahas":{"sun":{"sidereal_longitude":273.003774,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":127.95377400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-4.1113},"mars":{"sidereal_longitude":42.12107400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":260.363974,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":238.76397399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":317.5041739999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":188.83777399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":196.8748,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":16.8748,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1865,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402251.770833,"kali_year":4966,"ahargana":1813786.2708,"sun":{"sidereal_longitude":273.2256,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":130.8414,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.6157,"elapsed_within_tithi_degrees":1.6157},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.8414,"elapsed_within_degrees":10.8414},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.067},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.111,"elongation":142.384},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.111,"opposition_distance":37.616}},"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":"17:43","solarNoonLocal":"12:38","dayLengthHours":10.174637722782101,"dayLengthDisplay":"10 Hours 10 Mins 29 Secs","nightLengthDisplay":"13 Hours 49 Mins 31 Secs","moonriseLocal":"20:24","moonsetLocal":"09:31","rahuKala":{"name":"Rāhu Kāla","start":"16:27","end":"17:43","startHours":16.442921636812173,"endHours":17.714751352159936,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:38","end":"13:54","startHours":12.627432490768886,"endHours":13.89926220611665,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:10","end":"16:27","startHours":15.171091921464411,"endHours":16.442921636812173,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.914195764693659,"endHours":10.253350355453062,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.9640568678270895,"endHours":8.235380540434612,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"12:58","startHours":12.288277900009483,"endHours":12.966587081528289,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:11","end":"06:52","startHours":6.183495266340222,"endHours":6.861804447859028,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:42","end":"07:32","startHours":6.692227152479327,"endHours":7.540113629377835,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:00","startHours":14.323205444565904,"endHours":15.001514626084711,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.514751352159937,"endHours":17.914751352159936,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:08","startHours":17.714751352159936,"endHours":18.13869459060919,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.464751352159936,"endHours":19.214751352159936,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"00:58","startHours":24.288277900009483,"endHours":24.96658708152829,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:32","end":"08:49","startHours":7.540113629377835,"endHours":8.811943344725599,"quality":"inauspicious"},{"name":"Chala","start":"08:49","end":"10:05","startHours":8.811943344725599,"endHours":10.08377306007336,"quality":"neutral"},{"name":"Labha","start":"10:05","end":"11:21","startHours":10.08377306007336,"endHours":11.355602775421122,"quality":"auspicious"},{"name":"Amṛta","start":"11:21","end":"12:38","startHours":11.355602775421122,"endHours":12.627432490768886,"quality":"auspicious"},{"name":"Kāla","start":"12:38","end":"13:54","startHours":12.627432490768886,"endHours":13.89926220611665,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:10","startHours":13.89926220611665,"endHours":15.171091921464411,"quality":"auspicious"},{"name":"Roga","start":"15:10","end":"16:27","startHours":15.171091921464411,"endHours":16.442921636812173,"quality":"inauspicious"},{"name":"Udveg","start":"16:27","end":"17:43","startHours":16.442921636812173,"endHours":17.714751352159936,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:43","end":"19:27","startHours":17.714751352159936,"endHours":19.442921636812173,"quality":"auspicious"},{"name":"Roga","start":"19:27","end":"21:10","startHours":19.442921636812173,"endHours":21.17109192146441,"quality":"inauspicious"},{"name":"Udveg","start":"21:10","end":"22:54","startHours":21.17109192146441,"endHours":22.89926220611665,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:38","startHours":22.89926220611665,"endHours":24.627432490768886,"quality":"neutral"},{"name":"Labha","start":"00:38","end":"02:21","startHours":24.627432490768886,"endHours":26.355602775421122,"quality":"auspicious"},{"name":"Amṛta","start":"02:21","end":"04:05","startHours":26.355602775421122,"endHours":28.083773060073362,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:49","startHours":28.083773060073362,"endHours":29.8119433447256,"quality":"inauspicious"},{"name":"Śubha","start":"05:49","end":"07:32","startHours":29.8119433447256,"endHours":31.540113629377835,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:32","end":"08:32","startHours":7.540113629377835,"endHours":8.540113629377835,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:32","end":"09:32","startHours":8.540113629377835,"endHours":9.540113629377835,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:32","end":"10:32","startHours":9.540113629377835,"endHours":10.540113629377835,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:32","end":"11:32","startHours":10.540113629377835,"endHours":11.540113629377835,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:32","end":"12:32","startHours":11.540113629377835,"endHours":12.540113629377835,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:32","end":"13:32","startHours":12.540113629377835,"endHours":13.540113629377835,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:32","end":"14:32","startHours":13.540113629377835,"endHours":14.540113629377835,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:32","end":"15:32","startHours":14.540113629377835,"endHours":15.540113629377835,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:32","end":"16:32","startHours":15.540113629377835,"endHours":16.540113629377835,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:32","end":"17:32","startHours":16.540113629377835,"endHours":17.540113629377835,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:32","end":"18:32","startHours":17.540113629377835,"endHours":18.540113629377835,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:32","end":"19:32","startHours":18.540113629377835,"endHours":19.540113629377835,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:32","end":"20:32","startHours":19.540113629377835,"endHours":20.540113629377835,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:32","end":"21:32","startHours":20.540113629377835,"endHours":21.540113629377835,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:32","end":"22:32","startHours":21.540113629377835,"endHours":22.540113629377835,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:32","end":"23:32","startHours":22.540113629377835,"endHours":23.540113629377835,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:32","end":"00:32","startHours":23.540113629377835,"endHours":24.540113629377835,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:32","end":"01:32","startHours":24.540113629377835,"endHours":25.540113629377835,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:32","end":"02:32","startHours":25.540113629377835,"endHours":26.540113629377835,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:32","end":"03:32","startHours":26.540113629377835,"endHours":27.540113629377835,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:32","end":"04:32","startHours":27.540113629377835,"endHours":28.540113629377835,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:32","end":"05:32","startHours":28.540113629377835,"endHours":29.540113629377835,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:32","end":"06:32","startHours":29.540113629377835,"endHours":30.540113629377835,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:32","end":"07:32","startHours":30.540113629377835,"endHours":31.540113629377835,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.134079761626673,"eotMinutes":-9.349949446133257,"ayanamsa":21.9677}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"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 Caturthī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 15, 1865 CE · Phoenix, USA · Vidhyamitra","description":"January 15, 1865 CE for Phoenix, USA: Kṛṣṇa Caturthī, sūryodaya 07:32, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1865-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1865-01-15","sa":"https://sa.vidhyamitra.com/city/phoenix/1865-01-15","hi":"https://hi.vidhyamitra.com/city/phoenix/1865-01-15","x-default":"https://vidhyamitra.com/city/phoenix/1865-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:37:37.713Z","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":"2026-06-02T20:37:37.713Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:37:37.713Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}