{"id":"vidhyamitra:city-day:phoenix:2172-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2172-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-01-03","date_display":"January 3, 2172 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":2172,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514368.770833,"kali_year":5273,"ahargana":1925903.2708,"sun":{"sidereal_longitude":255.3062,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":343.2999,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":87.9937,"elapsed_within_tithi_degrees":3.9937},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":343.2999,"elapsed_within_degrees":9.9666},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.606},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2172,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514368.770833,"ahargana":1925903.2708,"kali_year":5273,"ayanamsa_lahiri":26.2558,"grahas":{"sun":{"sidereal_longitude":255.95417999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":346.02288,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-2.4542},"mars":{"sidereal_longitude":166.86098000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.38838,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":195.32268,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":297.08268,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":315.96777999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":16.3766,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":196.3766,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"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":2172,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514368.770833,"kali_year":5273,"ahargana":1925903.2708,"sun":{"sidereal_longitude":255.3062,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":343.2999,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":87.9937,"elapsed_within_tithi_degrees":3.9937},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":343.2999,"elapsed_within_degrees":9.9666},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.606},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.454,"elongation":87.994},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.454,"opposition_distance":92.006}},"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":"17:33","solarNoonLocal":"12:33","dayLengthHours":9.99219918319376,"dayLengthDisplay":"9 Hours 59 Mins 32 Secs","nightLengthDisplay":"14 Hours 00 Mins 28 Secs","moonriseLocal":"12:17","moonsetLocal":"00:49","rahuKala":{"name":"Rāhu Kāla","start":"11:18","end":"12:33","startHours":11.299065449278416,"endHours":12.548090347177634,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:03","end":"16:18","startHours":15.046140142976075,"endHours":16.295165040875297,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:48","end":"10:03","startHours":8.801015653479975,"endHours":10.050040551379196,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.883503898325966,"endHours":10.216577204432426,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.968332388213828,"endHours":8.234791033098995,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.215017041071176,"endHours":12.881163653284093,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.219697531154921,"endHours":6.885844143367838,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.719307490314609,"endHours":7.551990755580755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.213456877709929,"endHours":14.879603489922847,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.344189938774516,"endHours":17.744189938774515,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.544189938774515,"endHours":17.96053157140759,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.294189938774515,"endHours":19.044189938774515,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.215017041071174,"endHours":24.881163653284094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:33","end":"08:48","startHours":7.551990755580755,"endHours":8.801015653479975,"quality":"neutral"},{"name":"Labha","start":"08:48","end":"10:03","startHours":8.801015653479975,"endHours":10.050040551379196,"quality":"auspicious"},{"name":"Amṛta","start":"10:03","end":"11:18","startHours":10.050040551379196,"endHours":11.299065449278416,"quality":"auspicious"},{"name":"Kāla","start":"11:18","end":"12:33","startHours":11.299065449278416,"endHours":12.548090347177634,"quality":"inauspicious"},{"name":"Śubha","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.797115245076856,"quality":"auspicious"},{"name":"Roga","start":"13:48","end":"15:03","startHours":13.797115245076856,"endHours":15.046140142976075,"quality":"inauspicious"},{"name":"Udveg","start":"15:03","end":"16:18","startHours":15.046140142976075,"endHours":16.295165040875297,"quality":"inauspicious"},{"name":"Chala","start":"16:18","end":"17:33","startHours":16.295165040875297,"endHours":17.544189938774515,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:33","end":"19:18","startHours":17.544189938774515,"endHours":19.295165040875297,"quality":"inauspicious"},{"name":"Udveg","start":"19:18","end":"21:03","startHours":19.295165040875297,"endHours":21.046140142976075,"quality":"inauspicious"},{"name":"Chala","start":"21:03","end":"22:48","startHours":21.046140142976075,"endHours":22.797115245076856,"quality":"neutral"},{"name":"Labha","start":"22:48","end":"00:33","startHours":22.797115245076856,"endHours":24.548090347177634,"quality":"auspicious"},{"name":"Amṛta","start":"00:33","end":"02:18","startHours":24.548090347177634,"endHours":26.299065449278416,"quality":"auspicious"},{"name":"Kāla","start":"02:18","end":"04:03","startHours":26.299065449278416,"endHours":28.050040551379197,"quality":"inauspicious"},{"name":"Śubha","start":"04:03","end":"05:48","startHours":28.050040551379197,"endHours":29.801015653479975,"quality":"auspicious"},{"name":"Roga","start":"05:48","end":"07:33","startHours":29.801015653479975,"endHours":31.551990755580754,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.551990755580755,"endHours":8.551990755580755,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.551990755580755,"endHours":9.551990755580755,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.551990755580755,"endHours":10.551990755580755,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.551990755580755,"endHours":11.551990755580755,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.551990755580755,"endHours":12.551990755580755,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.551990755580755,"endHours":13.551990755580755,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.551990755580755,"endHours":14.551990755580755,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.551990755580755,"endHours":15.551990755580755,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.551990755580755,"endHours":16.551990755580754,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.551990755580754,"endHours":17.551990755580754,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.551990755580754,"endHours":18.551990755580754,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.551990755580754,"endHours":19.551990755580754,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.551990755580754,"endHours":20.551990755580754,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.551990755580754,"endHours":21.551990755580754,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.551990755580754,"endHours":22.551990755580754,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.551990755580754,"endHours":23.551990755580754,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.551990755580754,"endHours":24.551990755580754,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.551990755580754,"endHours":25.551990755580754,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.551990755580754,"endHours":26.551990755580754,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.551990755580754,"endHours":27.551990755580754,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.551990755580754,"endHours":28.551990755580754,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.551990755580754,"endHours":29.551990755580754,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.551990755580754,"endHours":30.551990755580754,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.551990755580754,"endHours":31.551990755580754,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","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":-22.875834102063806,"eotMinutes":-4.589420830658165,"ayanamsa":26.2558}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"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 Aṣṭamī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 3, 2172 CE · Phoenix, USA · Vidhyamitra","description":"January 3, 2172 CE for Phoenix, USA: Śukla Aṣṭamī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2172-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2172-01-03","sa":"https://sa.vidhyamitra.com/city/phoenix/2172-01-03","hi":"https://hi.vidhyamitra.com/city/phoenix/2172-01-03","x-default":"https://vidhyamitra.com/city/phoenix/2172-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:00:08.298Z","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":"2026-05-31T10:00:08.298Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:00:08.298Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}