{"id":"vidhyamitra:city-day:phoenix:2052-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2052-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-01-13","date_display":"January 13, 2052 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":2052,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470549.770833,"kali_year":5153,"ahargana":1882084.2708,"sun":{"sidereal_longitude":267.6932,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.9637,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.2704,"elapsed_within_tithi_degrees":8.2704},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.9637,"elapsed_within_degrees":7.9637},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.6569},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2052,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470549.770833,"ahargana":1882084.2708,"kali_year":5153,"ayanamsa_lahiri":24.5799,"grahas":{"sun":{"sidereal_longitude":267.95268799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":46.22688800000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-3.4379},"mars":{"sidereal_longitude":224.80958800000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":257.95538799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":160.63318800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":306.020988,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":294.3310879999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":178.1181,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":358.1181,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2052,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470549.770833,"kali_year":5153,"ahargana":1882084.2708,"sun":{"sidereal_longitude":267.6932,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.9637,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.2704,"elapsed_within_tithi_degrees":8.2704},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.9637,"elapsed_within_degrees":7.9637},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.6569},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.438,"elongation":140.27},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.438,"opposition_distance":39.73}},"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":"07:33","sunsetLocal":"17:41","solarNoonLocal":"12:37","dayLengthHours":10.131197120326767,"dayLengthDisplay":"10 Hours 07 Mins 52 Secs","nightLengthDisplay":"13 Hours 52 Mins 08 Secs","moonriseLocal":"14:45","moonsetLocal":"04:55","rahuKala":{"name":"Rāhu Kāla","start":"10:05","end":"11:21","startHours":10.0827329114412,"endHours":11.349132551482047,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:53","end":"15:09","startHours":13.881931831563737,"endHours":15.148331471604584,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"08:49","startHours":7.549933631359508,"endHours":8.816333271400353,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.913879626102421,"endHours":10.251586196779979,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:15","startHours":7.972066844706457,"endHours":8.242232101248504,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"12:57","startHours":12.277825620845332,"endHours":12.953238762200451,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:12","end":"06:52","startHours":6.199107348649273,"endHours":6.87452049000439,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:42","end":"07:33","startHours":6.705667204665611,"endHours":7.549933631359508,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"14:59","startHours":14.304065044910686,"endHours":14.979478186265805,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.481130751686276,"endHours":17.881130751686275,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:06","startHours":17.681130751686275,"endHours":18.103263965033225,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.431130751686275,"endHours":19.181130751686275,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"00:57","startHours":24.277825620845334,"endHours":24.95323876220045,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:33","end":"08:49","startHours":7.549933631359508,"endHours":8.816333271400353,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:05","startHours":8.816333271400353,"endHours":10.0827329114412,"quality":"auspicious"},{"name":"Roga","start":"10:05","end":"11:21","startHours":10.0827329114412,"endHours":11.349132551482047,"quality":"inauspicious"},{"name":"Udveg","start":"11:21","end":"12:37","startHours":11.349132551482047,"endHours":12.615532191522892,"quality":"inauspicious"},{"name":"Chala","start":"12:37","end":"13:53","startHours":12.615532191522892,"endHours":13.881931831563737,"quality":"neutral"},{"name":"Labha","start":"13:53","end":"15:09","startHours":13.881931831563737,"endHours":15.148331471604584,"quality":"auspicious"},{"name":"Amṛta","start":"15:09","end":"16:25","startHours":15.148331471604584,"endHours":16.41473111164543,"quality":"auspicious"},{"name":"Kāla","start":"16:25","end":"17:41","startHours":16.41473111164543,"endHours":17.681130751686275,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:41","end":"19:25","startHours":17.681130751686275,"endHours":19.41473111164543,"quality":"auspicious"},{"name":"Amṛta","start":"19:25","end":"21:09","startHours":19.41473111164543,"endHours":21.148331471604585,"quality":"auspicious"},{"name":"Kāla","start":"21:09","end":"22:53","startHours":21.148331471604585,"endHours":22.881931831563737,"quality":"inauspicious"},{"name":"Śubha","start":"22:53","end":"00:37","startHours":22.881931831563737,"endHours":24.61553219152289,"quality":"auspicious"},{"name":"Roga","start":"00:37","end":"02:21","startHours":24.61553219152289,"endHours":26.349132551482047,"quality":"inauspicious"},{"name":"Udveg","start":"02:21","end":"04:05","startHours":26.349132551482047,"endHours":28.082732911441198,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:49","startHours":28.082732911441198,"endHours":29.816333271400353,"quality":"neutral"},{"name":"Labha","start":"05:49","end":"07:33","startHours":29.816333271400353,"endHours":31.549933631359508,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.549933631359508,"endHours":8.549933631359508,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.549933631359508,"endHours":9.549933631359508,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.549933631359508,"endHours":10.549933631359508,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.549933631359508,"endHours":11.549933631359508,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.549933631359508,"endHours":12.549933631359508,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.549933631359508,"endHours":13.549933631359508,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.549933631359508,"endHours":14.549933631359508,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.549933631359508,"endHours":15.549933631359508,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.549933631359508,"endHours":16.549933631359508,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.549933631359508,"endHours":17.549933631359508,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.549933631359508,"endHours":18.549933631359508,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.549933631359508,"endHours":19.549933631359508,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.549933631359508,"endHours":20.549933631359508,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.549933631359508,"endHours":21.549933631359508,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.549933631359508,"endHours":22.549933631359508,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.549933631359508,"endHours":23.549933631359508,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.549933631359508,"endHours":24.549933631359508,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.549933631359508,"endHours":25.549933631359508,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.549933631359508,"endHours":26.549933631359508,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.549933631359508,"endHours":27.549933631359508,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.549933631359508,"endHours":28.549933631359508,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.549933631359508,"endHours":29.549933631359508,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.549933631359508,"endHours":30.549933631359508,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.549933631359508,"endHours":31.549933631359508,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"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":-21.553525003996516,"eotMinutes":-8.635931491373626,"ayanamsa":24.5799}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvādaśī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 13, 2052 CE · Phoenix, USA · Vidhyamitra","description":"January 13, 2052 CE for Phoenix, USA: Śukla Dvādaśī, sūryodaya 07:33, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2052-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2052-01-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2052-01-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2052-01-13","x-default":"https://vidhyamitra.com/city/phoenix/2052-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:44:59.009Z","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":"2026-06-02T12:44:59.009Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:44:59.009Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}