{"id":"vidhyamitra:city-day:phoenix:2113-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2113-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-12-20","date_display":"December 20, 2113 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":2113,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493170.770833,"kali_year":5215,"ahargana":1904705.2708,"sun":{"sidereal_longitude":241.956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":28.5351,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.5791,"elapsed_within_tithi_degrees":2.5791},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.5351,"elapsed_within_degrees":1.8684},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.4911},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2113,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493170.770833,"ahargana":1904705.2708,"kali_year":5215,"ayanamsa_lahiri":25.445,"grahas":{"sun":{"sidereal_longitude":242.58410000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.98950000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-2.3168},"mars":{"sidereal_longitude":199.18150000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.1553,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":225.98209999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":243.3659,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":326.34989999999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":59.5487,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.5487,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2113,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493170.770833,"kali_year":5215,"ahargana":1904705.2708,"sun":{"sidereal_longitude":241.956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":28.5351,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.5791,"elapsed_within_tithi_degrees":2.5791},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.5351,"elapsed_within_degrees":1.8684},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.4911},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.317,"elongation":146.579},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.317,"opposition_distance":33.421}},"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":"07:28","sunsetLocal":"17:24","solarNoonLocal":"12:26","dayLengthHours":9.933847103843403,"dayLengthDisplay":"9 Hours 56 Mins 02 Secs","nightLengthDisplay":"14 Hours 03 Mins 58 Secs","moonriseLocal":"15:10","moonsetLocal":"04:58","rahuKala":{"name":"Rāhu Kāla","start":"12:26","end":"13:41","startHours":12.440734707958853,"endHours":13.68246559593928,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:43","end":"09:57","startHours":8.715542044017578,"endHours":9.957272931998004,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:12","end":"12:26","startHours":11.19900381997843,"endHours":12.440734707958853,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:07","startHours":9.791708813600614,"endHours":10.122837050395393,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:53","end":"08:09","startHours":7.887721452030628,"endHours":8.152624041466453,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:46","startHours":12.109606471164073,"endHours":12.771862944753634,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:49","startHours":6.149298208858032,"endHours":6.811554682447593,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:39","end":"07:28","startHours":6.645990564050202,"endHours":7.4738111560371525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:46","startHours":14.096375891932755,"endHours":14.758632365522315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.207658259880557,"endHours":17.607658259880555,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:49","startHours":17.407658259880556,"endHours":17.82156855587403,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.157658259880556,"endHours":18.907658259880556,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:46","startHours":24.109606471164074,"endHours":24.771862944753632,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:28","end":"08:43","startHours":7.4738111560371525,"endHours":8.715542044017578,"quality":"auspicious"},{"name":"Amṛta","start":"08:43","end":"09:57","startHours":8.715542044017578,"endHours":9.957272931998004,"quality":"auspicious"},{"name":"Kāla","start":"09:57","end":"11:12","startHours":9.957272931998004,"endHours":11.19900381997843,"quality":"inauspicious"},{"name":"Śubha","start":"11:12","end":"12:26","startHours":11.19900381997843,"endHours":12.440734707958853,"quality":"auspicious"},{"name":"Roga","start":"12:26","end":"13:41","startHours":12.440734707958853,"endHours":13.68246559593928,"quality":"inauspicious"},{"name":"Udveg","start":"13:41","end":"14:55","startHours":13.68246559593928,"endHours":14.924196483919705,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:10","startHours":14.924196483919705,"endHours":16.165927371900132,"quality":"neutral"},{"name":"Labha","start":"16:10","end":"17:24","startHours":16.165927371900132,"endHours":17.407658259880556,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:24","end":"19:10","startHours":17.407658259880556,"endHours":19.165927371900132,"quality":"inauspicious"},{"name":"Chala","start":"19:10","end":"20:55","startHours":19.165927371900132,"endHours":20.924196483919705,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:41","startHours":20.924196483919705,"endHours":22.68246559593928,"quality":"auspicious"},{"name":"Amṛta","start":"22:41","end":"00:26","startHours":22.68246559593928,"endHours":24.440734707958853,"quality":"auspicious"},{"name":"Kāla","start":"00:26","end":"02:12","startHours":24.440734707958853,"endHours":26.19900381997843,"quality":"inauspicious"},{"name":"Śubha","start":"02:12","end":"03:57","startHours":26.19900381997843,"endHours":27.957272931998006,"quality":"auspicious"},{"name":"Roga","start":"03:57","end":"05:43","startHours":27.957272931998006,"endHours":29.715542044017578,"quality":"inauspicious"},{"name":"Udveg","start":"05:43","end":"07:28","startHours":29.715542044017578,"endHours":31.47381115603715,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:28","end":"08:28","startHours":7.4738111560371525,"endHours":8.473811156037153,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:28","end":"09:28","startHours":8.473811156037153,"endHours":9.473811156037153,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:28","end":"10:28","startHours":9.473811156037153,"endHours":10.473811156037153,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:28","end":"11:28","startHours":10.473811156037153,"endHours":11.473811156037153,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:28","end":"12:28","startHours":11.473811156037153,"endHours":12.473811156037153,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:28","end":"13:28","startHours":12.473811156037153,"endHours":13.473811156037153,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:28","end":"14:28","startHours":13.473811156037153,"endHours":14.473811156037153,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:28","end":"15:28","startHours":14.473811156037153,"endHours":15.473811156037153,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:28","end":"16:28","startHours":15.473811156037153,"endHours":16.47381115603715,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:28","end":"17:28","startHours":16.47381115603715,"endHours":17.47381115603715,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:28","end":"18:28","startHours":17.47381115603715,"endHours":18.47381115603715,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:28","end":"19:28","startHours":18.47381115603715,"endHours":19.47381115603715,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:28","end":"20:28","startHours":19.47381115603715,"endHours":20.47381115603715,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:28","end":"21:28","startHours":20.47381115603715,"endHours":21.47381115603715,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:28","end":"22:28","startHours":21.47381115603715,"endHours":22.47381115603715,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:28","end":"23:28","startHours":22.47381115603715,"endHours":23.47381115603715,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:28","end":"00:28","startHours":23.47381115603715,"endHours":24.47381115603715,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:28","end":"01:28","startHours":24.47381115603715,"endHours":25.47381115603715,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:28","end":"02:28","startHours":25.47381115603715,"endHours":26.47381115603715,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:28","end":"03:28","startHours":26.47381115603715,"endHours":27.47381115603715,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:28","end":"04:28","startHours":27.47381115603715,"endHours":28.47381115603715,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:28","end":"05:28","startHours":28.47381115603715,"endHours":29.47381115603715,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:28","end":"06:28","startHours":29.47381115603715,"endHours":30.47381115603715,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:28","end":"07:28","startHours":30.47381115603715,"endHours":31.47381115603715,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.421807561640218,"eotMinutes":1.851917522468745,"ayanamsa":25.445}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","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 December 20, 2113 CE · Phoenix, USA · Vidhyamitra","description":"December 20, 2113 CE for Phoenix, USA: Śukla Trayodaśī, sūryodaya 07:28, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2113-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2113-12-20","sa":"https://sa.vidhyamitra.com/city/phoenix/2113-12-20","hi":"https://hi.vidhyamitra.com/city/phoenix/2113-12-20","x-default":"https://vidhyamitra.com/city/phoenix/2113-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:19:55.475Z","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":"2026-06-03T04:19:55.475Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:19:55.475Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}