{"id":"vidhyamitra:city-day:phoenix:2104-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2104-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-01-15","date_display":"January 15, 2104 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":2104,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489543.770833,"kali_year":5205,"ahargana":1901078.2708,"sun":{"sidereal_longitude":268.2528,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.8142,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.5614,"elapsed_within_tithi_degrees":9.5614},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.8142,"elapsed_within_degrees":1.8142},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.067},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2104,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489543.770833,"ahargana":1901078.2708,"kali_year":5205,"ayanamsa_lahiri":25.3063,"grahas":{"sun":{"sidereal_longitude":268.628878,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":119.38167800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-3.4503},"mars":{"sidereal_longitude":94.39497799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":251.64777800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":279.680878,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":237.854778,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.54977800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.7246,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.7246,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2104,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489543.770833,"kali_year":5205,"ahargana":1901078.2708,"sun":{"sidereal_longitude":268.2528,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.8142,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.5614,"elapsed_within_tithi_degrees":9.5614},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.8142,"elapsed_within_degrees":1.8142},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.067},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.45,"elongation":146.439},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.45,"opposition_distance":33.561}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-0.89,"opposition_distance":1.868}]},"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":"17:42","solarNoonLocal":"12:38","dayLengthHours":10.155718725306023,"dayLengthDisplay":"10 Hours 09 Mins 21 Secs","nightLengthDisplay":"13 Hours 50 Mins 39 Secs","moonriseLocal":"20:02","moonsetLocal":"09:19","rahuKala":{"name":"Rāhu Kāla","start":"15:10","end":"16:26","startHours":15.166362172095393,"endHours":16.435827012758644,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:05","end":"11:21","startHours":10.088502809442382,"endHours":11.357967650105634,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"13:54","startHours":12.627432490768886,"endHours":13.89689733143214,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.91924083068728,"endHours":10.25776478819748,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:15","startHours":7.972728075003626,"endHours":8.243547241011786,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"12:58","startHours":12.288908533258684,"endHours":12.965956448279087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:12","end":"06:52","startHours":6.195477298075072,"endHours":6.872525213095473,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:42","end":"07:33","startHours":6.703263234340373,"endHours":7.549573128115875,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:00","startHours":14.32005227831989,"endHours":14.997100193340291,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.505291853421898,"endHours":17.905291853421897,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.705291853421897,"endHours":18.12844680030965,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.455291853421897,"endHours":19.205291853421897,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"00:58","startHours":24.288908533258684,"endHours":24.965956448279087,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:33","end":"08:49","startHours":7.549573128115875,"endHours":8.819037968779128,"quality":"inauspicious"},{"name":"Udveg","start":"08:49","end":"10:05","startHours":8.819037968779128,"endHours":10.088502809442382,"quality":"inauspicious"},{"name":"Chala","start":"10:05","end":"11:21","startHours":10.088502809442382,"endHours":11.357967650105634,"quality":"neutral"},{"name":"Labha","start":"11:21","end":"12:38","startHours":11.357967650105634,"endHours":12.627432490768886,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"13:54","startHours":12.627432490768886,"endHours":13.89689733143214,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:10","startHours":13.89689733143214,"endHours":15.166362172095393,"quality":"inauspicious"},{"name":"Śubha","start":"15:10","end":"16:26","startHours":15.166362172095393,"endHours":16.435827012758644,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:42","startHours":16.435827012758644,"endHours":17.705291853421897,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:42","end":"19:26","startHours":17.705291853421897,"endHours":19.435827012758644,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:10","startHours":19.435827012758644,"endHours":21.16636217209539,"quality":"auspicious"},{"name":"Roga","start":"21:10","end":"22:54","startHours":21.16636217209539,"endHours":22.89689733143214,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:38","startHours":22.89689733143214,"endHours":24.627432490768886,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:21","startHours":24.627432490768886,"endHours":26.357967650105632,"quality":"neutral"},{"name":"Labha","start":"02:21","end":"04:05","startHours":26.357967650105632,"endHours":28.08850280944238,"quality":"auspicious"},{"name":"Amṛta","start":"04:05","end":"05:49","startHours":28.08850280944238,"endHours":29.819037968779128,"quality":"auspicious"},{"name":"Kāla","start":"05:49","end":"07:33","startHours":29.819037968779128,"endHours":31.549573128115874,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.549573128115875,"endHours":8.549573128115874,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.549573128115874,"endHours":9.549573128115874,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.549573128115874,"endHours":10.549573128115874,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.549573128115874,"endHours":11.549573128115874,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.549573128115874,"endHours":12.549573128115874,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.549573128115874,"endHours":13.549573128115874,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.549573128115874,"endHours":14.549573128115874,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.549573128115874,"endHours":15.549573128115874,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.549573128115874,"endHours":16.549573128115874,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.549573128115874,"endHours":17.549573128115874,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.549573128115874,"endHours":18.549573128115874,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.549573128115874,"endHours":19.549573128115874,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.549573128115874,"endHours":20.549573128115874,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.549573128115874,"endHours":21.549573128115874,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.549573128115874,"endHours":22.549573128115874,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.549573128115874,"endHours":23.549573128115874,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.549573128115874,"endHours":24.549573128115874,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.549573128115874,"endHours":25.549573128115874,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.549573128115874,"endHours":26.549573128115874,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.549573128115874,"endHours":27.549573128115874,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.549573128115874,"endHours":28.549573128115874,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.549573128115874,"endHours":29.549573128115874,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.549573128115874,"endHours":30.549573128115874,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.549573128115874,"endHours":31.549573128115874,"planetary_lord":"Saturn"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","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":-21.317111949019484,"eotMinutes":-9.349949446133257,"ayanamsa":25.3063}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2104 CE · Phoenix, USA · Vidhyamitra","description":"January 15, 2104 CE for Phoenix, USA: Kṛṣṇa Tṛtīyā, sūryodaya 07:33, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2104-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2104-01-15","sa":"https://sa.vidhyamitra.com/city/phoenix/2104-01-15","hi":"https://hi.vidhyamitra.com/city/phoenix/2104-01-15","x-default":"https://vidhyamitra.com/city/phoenix/2104-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:48:28.398Z","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":"2026-06-01T00:48:28.398Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:48:28.398Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}