{"id":"vidhyamitra:city-day:phoenix:2045-01-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2045-01-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-22","date_display":"January 22, 2045 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":2045,"month":1,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468002.770833,"kali_year":5146,"ahargana":1879537.2708,"sun":{"sidereal_longitude":277.7637,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":323.0555,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2918,"elapsed_within_tithi_degrees":9.2918},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0555,"elapsed_within_degrees":3.0555},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8192},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2045,"month":1,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468002.770833,"ahargana":1879537.2708,"kali_year":5146,"ayanamsa_lahiri":24.4824,"grahas":{"sun":{"sidereal_longitude":277.926203,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":319.7782030000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":0.7795},"mars":{"sidereal_longitude":300.03820300000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":268.5716030000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":290.9177030000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":263.707803,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.74430299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.0704,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.0704,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":1,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468002.770833,"kali_year":5146,"ahargana":1879537.2708,"sun":{"sidereal_longitude":277.7637,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":323.0555,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2918,"elapsed_within_tithi_degrees":9.2918},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0555,"elapsed_within_degrees":3.0555},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8192},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.779,"elongation":45.292},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.779,"opposition_distance":134.708}},"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":"07:30","sunsetLocal":"17:50","solarNoonLocal":"12:40","dayLengthHours":10.329015468726027,"dayLengthDisplay":"10 Hours 19 Mins 44 Secs","nightLengthDisplay":"13 Hours 40 Mins 16 Secs","moonriseLocal":"09:41","moonsetLocal":"21:14","rahuKala":{"name":"Rāhu Kāla","start":"16:32","end":"17:50","startHours":16.53724918924458,"endHours":17.828376122835333,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:40","end":"13:57","startHours":12.66386838847232,"endHours":13.954995322063073,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:15","end":"16:32","startHours":15.246122255653827,"endHours":16.53724918924458,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.909464263478714,"endHours":10.253764779102914,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:56","end":"08:12","startHours":7.9297362986395585,"endHours":8.20517671113892,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.319567872848118,"endHours":13.008168904096522,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:07","end":"06:49","startHours":6.122158591612504,"endHours":6.810759622860906,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:38","end":"07:30","startHours":6.638609365048805,"endHours":7.499360654109307,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:04","startHours":14.385370966593324,"endHours":15.073971997841726,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.628376122835334,"endHours":18.028376122835333,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.828376122835333,"endHours":18.258751767365585,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.578376122835333,"endHours":19.328376122835333,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.31956787284812,"endHours":25.00816890409652,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:30","end":"08:47","startHours":7.499360654109307,"endHours":8.79048758770006,"quality":"inauspicious"},{"name":"Chala","start":"08:47","end":"10:05","startHours":8.79048758770006,"endHours":10.081614521290813,"quality":"neutral"},{"name":"Labha","start":"10:05","end":"11:22","startHours":10.081614521290813,"endHours":11.372741454881567,"quality":"auspicious"},{"name":"Amṛta","start":"11:22","end":"12:40","startHours":11.372741454881567,"endHours":12.66386838847232,"quality":"auspicious"},{"name":"Kāla","start":"12:40","end":"13:57","startHours":12.66386838847232,"endHours":13.954995322063073,"quality":"inauspicious"},{"name":"Śubha","start":"13:57","end":"15:15","startHours":13.954995322063073,"endHours":15.246122255653827,"quality":"auspicious"},{"name":"Roga","start":"15:15","end":"16:32","startHours":15.246122255653827,"endHours":16.53724918924458,"quality":"inauspicious"},{"name":"Udveg","start":"16:32","end":"17:50","startHours":16.53724918924458,"endHours":17.828376122835333,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:50","end":"19:32","startHours":17.828376122835333,"endHours":19.53724918924458,"quality":"auspicious"},{"name":"Roga","start":"19:32","end":"21:15","startHours":19.53724918924458,"endHours":21.246122255653827,"quality":"inauspicious"},{"name":"Udveg","start":"21:15","end":"22:57","startHours":21.246122255653827,"endHours":22.954995322063073,"quality":"inauspicious"},{"name":"Chala","start":"22:57","end":"00:40","startHours":22.954995322063073,"endHours":24.66386838847232,"quality":"neutral"},{"name":"Labha","start":"00:40","end":"02:22","startHours":24.66386838847232,"endHours":26.372741454881567,"quality":"auspicious"},{"name":"Amṛta","start":"02:22","end":"04:05","startHours":26.372741454881567,"endHours":28.081614521290813,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:47","startHours":28.081614521290813,"endHours":29.79048758770006,"quality":"inauspicious"},{"name":"Śubha","start":"05:47","end":"07:30","startHours":29.79048758770006,"endHours":31.499360654109307,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:30","end":"08:30","startHours":7.499360654109307,"endHours":8.499360654109307,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:30","end":"09:30","startHours":8.499360654109307,"endHours":9.499360654109307,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:30","end":"10:30","startHours":9.499360654109307,"endHours":10.499360654109307,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:30","end":"11:30","startHours":10.499360654109307,"endHours":11.499360654109307,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:30","end":"12:30","startHours":11.499360654109307,"endHours":12.499360654109307,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:30","end":"13:30","startHours":12.499360654109307,"endHours":13.499360654109307,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:30","end":"14:30","startHours":13.499360654109307,"endHours":14.499360654109307,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:30","end":"15:30","startHours":14.499360654109307,"endHours":15.499360654109307,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:30","end":"16:30","startHours":15.499360654109307,"endHours":16.499360654109307,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:30","end":"17:30","startHours":16.499360654109307,"endHours":17.499360654109307,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:30","end":"18:30","startHours":17.499360654109307,"endHours":18.499360654109307,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:30","end":"19:30","startHours":18.499360654109307,"endHours":19.499360654109307,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:30","end":"20:30","startHours":19.499360654109307,"endHours":20.499360654109307,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:30","end":"21:30","startHours":20.499360654109307,"endHours":21.499360654109307,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:30","end":"22:30","startHours":21.499360654109307,"endHours":22.499360654109307,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:30","end":"23:30","startHours":22.499360654109307,"endHours":23.499360654109307,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:30","end":"00:30","startHours":23.499360654109307,"endHours":24.499360654109307,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:30","end":"01:30","startHours":24.499360654109307,"endHours":25.499360654109307,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:30","end":"02:30","startHours":25.499360654109307,"endHours":26.499360654109307,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:30","end":"03:30","startHours":26.499360654109307,"endHours":27.499360654109307,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:30","end":"04:30","startHours":27.499360654109307,"endHours":28.499360654109307,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:30","end":"05:30","startHours":28.499360654109307,"endHours":29.499360654109307,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:30","end":"06:30","startHours":29.499360654109307,"endHours":30.499360654109307,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:30","end":"07:30","startHours":30.499360654109307,"endHours":31.499360654109307,"planetary_lord":"Jupiter"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.620257372845714,"eotMinutes":-11.536103308339323,"ayanamsa":24.4824}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"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 22, 2045 CE · Phoenix, USA · Vidhyamitra","description":"January 22, 2045 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 07:30, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2045-01-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2045-01-22","sa":"https://sa.vidhyamitra.com/city/phoenix/2045-01-22","hi":"https://hi.vidhyamitra.com/city/phoenix/2045-01-22","x-default":"https://vidhyamitra.com/city/phoenix/2045-01-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:09:42.404Z","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":"2026-05-31T19:09:42.404Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:09:42.404Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}