{"id":"vidhyamitra:city-day:phoenix:2139-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2139-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-12-16","date_display":"December 16, 2139 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":2139,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502662.770833,"kali_year":5241,"ahargana":1914197.2708,"sun":{"sidereal_longitude":237.105,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":175.717,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.612,"elapsed_within_tithi_degrees":10.612},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.717,"elapsed_within_degrees":2.3837},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.8221},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2139,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502662.770833,"ahargana":1914197.2708,"kali_year":5241,"ayanamsa_lahiri":25.8081,"grahas":{"sun":{"sidereal_longitude":237.83633600000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":177.51853600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-4.4187},"mars":{"sidereal_longitude":155.01753600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":239.8913359999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":283.3034359999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":274.563936,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":286.88793599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":276.6168,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.6168,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":2139,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502662.770833,"kali_year":5241,"ahargana":1914197.2708,"sun":{"sidereal_longitude":237.105,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":175.717,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.612,"elapsed_within_tithi_degrees":10.612},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.717,"elapsed_within_degrees":2.3837},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.8221},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.419,"elongation":61.388},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.419,"opposition_distance":118.612}},"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":"07:26","sunsetLocal":"17:23","solarNoonLocal":"12:25","dayLengthHours":9.94863739273093,"dayLengthDisplay":"9 Hours 56 Mins 55 Secs","nightLengthDisplay":"14 Hours 03 Mins 05 Secs","moonriseLocal":"02:45","moonsetLocal":"14:02","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"13:39","startHours":12.409651386213792,"endHours":13.653231060305156,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:41","end":"09:55","startHours":8.678912363939691,"endHours":9.92249203803106,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:25","startHours":11.166071712122424,"endHours":12.409651386213792,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:45","end":"10:05","startHours":9.756681414818877,"endHours":10.08830266124324,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:51","end":"08:07","startHours":7.849859247878781,"endHours":8.115156245018273,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:44","startHours":12.078030139789428,"endHours":12.741272632638156,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:07","end":"06:46","startHours":6.108847704150868,"endHours":6.7720901969995975,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:36","end":"07:26","startHours":6.606279573787415,"endHours":7.435332689848326,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:44","startHours":14.067757618335612,"endHours":14.731000111184342,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.183970082579258,"endHours":17.583970082579256,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:48","startHours":17.383970082579257,"endHours":17.798496640609713,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.133970082579257,"endHours":18.883970082579257,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:44","startHours":24.078030139789426,"endHours":24.741272632638157,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:26","end":"08:41","startHours":7.435332689848326,"endHours":8.678912363939691,"quality":"auspicious"},{"name":"Amṛta","start":"08:41","end":"09:55","startHours":8.678912363939691,"endHours":9.92249203803106,"quality":"auspicious"},{"name":"Kāla","start":"09:55","end":"11:10","startHours":9.92249203803106,"endHours":11.166071712122424,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:25","startHours":11.166071712122424,"endHours":12.409651386213792,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"13:39","startHours":12.409651386213792,"endHours":13.653231060305156,"quality":"inauspicious"},{"name":"Udveg","start":"13:39","end":"14:54","startHours":13.653231060305156,"endHours":14.896810734396524,"quality":"inauspicious"},{"name":"Chala","start":"14:54","end":"16:08","startHours":14.896810734396524,"endHours":16.14039040848789,"quality":"neutral"},{"name":"Labha","start":"16:08","end":"17:23","startHours":16.14039040848789,"endHours":17.383970082579257,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:23","end":"19:08","startHours":17.383970082579257,"endHours":19.14039040848789,"quality":"inauspicious"},{"name":"Chala","start":"19:08","end":"20:54","startHours":19.14039040848789,"endHours":20.896810734396524,"quality":"neutral"},{"name":"Labha","start":"20:54","end":"22:39","startHours":20.896810734396524,"endHours":22.65323106030516,"quality":"auspicious"},{"name":"Amṛta","start":"22:39","end":"00:25","startHours":22.65323106030516,"endHours":24.409651386213792,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"02:10","startHours":24.409651386213792,"endHours":26.166071712122424,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:55","startHours":26.166071712122424,"endHours":27.92249203803106,"quality":"auspicious"},{"name":"Roga","start":"03:55","end":"05:41","startHours":27.92249203803106,"endHours":29.678912363939695,"quality":"inauspicious"},{"name":"Udveg","start":"05:41","end":"07:26","startHours":29.678912363939695,"endHours":31.435332689848327,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:26","end":"08:26","startHours":7.435332689848326,"endHours":8.435332689848327,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:26","end":"09:26","startHours":8.435332689848327,"endHours":9.435332689848327,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:26","end":"10:26","startHours":9.435332689848327,"endHours":10.435332689848327,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:26","end":"11:26","startHours":10.435332689848327,"endHours":11.435332689848327,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:26","end":"12:26","startHours":11.435332689848327,"endHours":12.435332689848327,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:26","end":"13:26","startHours":12.435332689848327,"endHours":13.435332689848327,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:26","end":"14:26","startHours":13.435332689848327,"endHours":14.435332689848327,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:26","end":"15:26","startHours":14.435332689848327,"endHours":15.435332689848327,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:26","end":"16:26","startHours":15.435332689848327,"endHours":16.435332689848327,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:26","end":"17:26","startHours":16.435332689848327,"endHours":17.435332689848327,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:26","end":"18:26","startHours":17.435332689848327,"endHours":18.435332689848327,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:26","end":"19:26","startHours":18.435332689848327,"endHours":19.435332689848327,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:26","end":"20:26","startHours":19.435332689848327,"endHours":20.435332689848327,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:26","end":"21:26","startHours":20.435332689848327,"endHours":21.435332689848327,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:26","end":"22:26","startHours":21.435332689848327,"endHours":22.435332689848327,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:26","end":"23:26","startHours":22.435332689848327,"endHours":23.435332689848327,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:26","end":"00:26","startHours":23.435332689848327,"endHours":24.435332689848327,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:26","end":"01:26","startHours":24.435332689848327,"endHours":25.435332689848327,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:26","end":"02:26","startHours":25.435332689848327,"endHours":26.435332689848327,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:26","end":"03:26","startHours":26.435332689848327,"endHours":27.435332689848327,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:26","end":"04:26","startHours":27.435332689848327,"endHours":28.435332689848327,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:26","end":"05:26","startHours":28.435332689848327,"endHours":29.435332689848327,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:26","end":"06:26","startHours":29.435332689848327,"endHours":30.435332689848327,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:26","end":"07:26","startHours":30.435332689848327,"endHours":31.435332689848327,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.28393868310678,"eotMinutes":3.716916827172506,"ayanamsa":25.8081}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Daśamī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 December 16, 2139 CE · Phoenix, USA · Vidhyamitra","description":"December 16, 2139 CE for Phoenix, USA: Kṛṣṇa Daśamī, sūryodaya 07:26, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2139-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2139-12-16","sa":"https://sa.vidhyamitra.com/city/phoenix/2139-12-16","hi":"https://hi.vidhyamitra.com/city/phoenix/2139-12-16","x-default":"https://vidhyamitra.com/city/phoenix/2139-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-26T20:57:03.839Z","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":"2026-05-26T20:57:03.839Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-26T20:57:03.839Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}