{"id":"vidhyamitra:city-day:phoenix:2104-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2104-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-12-13","date_display":"December 13, 2104 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":2104,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489876.770833,"kali_year":5206,"ahargana":1901411.2708,"sun":{"sidereal_longitude":235.1125,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":183.3558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.2433,"elapsed_within_tithi_degrees":8.2433},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.3558,"elapsed_within_degrees":10.0224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.4683},"karana":{"half_tithi_index":51,"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":2104,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489876.770833,"ahargana":1901411.2708,"kali_year":5206,"ayanamsa_lahiri":25.319,"grahas":{"sun":{"sidereal_longitude":235.77775500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":185.820655,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.4821},"mars":{"sidereal_longitude":242.34765500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":214.57035499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":300.87745500000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":281.47485499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":230.171655,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":234.0806,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.0806,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489876.770833,"kali_year":5206,"ahargana":1901411.2708,"sun":{"sidereal_longitude":235.1125,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":183.3558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.2433,"elapsed_within_tithi_degrees":8.2433},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.3558,"elapsed_within_degrees":10.0224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.4683},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.482,"elongation":51.757},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.482,"opposition_distance":128.243}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.94,"opposition_distance":1.264}]},"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":"07:24","sunsetLocal":"17:22","solarNoonLocal":"12:23","dayLengthHours":9.964298100376832,"dayLengthDisplay":"9 Hours 57 Mins 51 Secs","nightLengthDisplay":"14 Hours 02 Mins 09 Secs","moonriseLocal":"03:32","moonsetLocal":"14:34","rahuKala":{"name":"Rāhu Kāla","start":"09:54","end":"11:08","startHours":9.895681304082153,"endHours":11.141218566629258,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:38","end":"14:53","startHours":13.632293091723465,"endHours":14.87783035427057,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"08:39","startHours":7.4046067789879455,"endHours":8.65014404153505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:44","end":"10:04","startHours":9.729609669075874,"endHours":10.061752939088434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:49","end":"08:05","startHours":7.819785866503647,"endHours":8.085500482513696,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:43","startHours":12.0546125591638,"endHours":12.718899099188924,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:05","end":"06:44","startHours":6.076033698937701,"endHours":6.740320238962823,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:34","end":"07:24","startHours":6.574248603956542,"endHours":7.4046067789879455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:43","startHours":14.047472179239167,"endHours":14.711758719264289,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.168904879364778,"endHours":17.568904879364776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:47","startHours":17.368904879364777,"endHours":17.784083966880477,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.118904879364777,"endHours":18.868904879364777,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:43","startHours":24.0546125591638,"endHours":24.718899099188924,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:24","end":"08:39","startHours":7.4046067789879455,"endHours":8.65014404153505,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"09:54","startHours":8.65014404153505,"endHours":9.895681304082153,"quality":"auspicious"},{"name":"Roga","start":"09:54","end":"11:08","startHours":9.895681304082153,"endHours":11.141218566629258,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:23","startHours":11.141218566629258,"endHours":12.386755829176362,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:38","startHours":12.386755829176362,"endHours":13.632293091723465,"quality":"neutral"},{"name":"Labha","start":"13:38","end":"14:53","startHours":13.632293091723465,"endHours":14.87783035427057,"quality":"auspicious"},{"name":"Amṛta","start":"14:53","end":"16:07","startHours":14.87783035427057,"endHours":16.123367616817674,"quality":"auspicious"},{"name":"Kāla","start":"16:07","end":"17:22","startHours":16.123367616817674,"endHours":17.368904879364777,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:22","end":"19:07","startHours":17.368904879364777,"endHours":19.123367616817674,"quality":"auspicious"},{"name":"Amṛta","start":"19:07","end":"20:53","startHours":19.123367616817674,"endHours":20.877830354270568,"quality":"auspicious"},{"name":"Kāla","start":"20:53","end":"22:38","startHours":20.877830354270568,"endHours":22.632293091723465,"quality":"inauspicious"},{"name":"Śubha","start":"22:38","end":"00:23","startHours":22.632293091723465,"endHours":24.386755829176362,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:08","startHours":24.386755829176362,"endHours":26.141218566629256,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:54","startHours":26.141218566629256,"endHours":27.895681304082153,"quality":"inauspicious"},{"name":"Chala","start":"03:54","end":"05:39","startHours":27.895681304082153,"endHours":29.65014404153505,"quality":"neutral"},{"name":"Labha","start":"05:39","end":"07:24","startHours":29.65014404153505,"endHours":31.404606778987947,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:24","end":"08:24","startHours":7.4046067789879455,"endHours":8.404606778987946,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:24","end":"09:24","startHours":8.404606778987946,"endHours":9.404606778987946,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:24","end":"10:24","startHours":9.404606778987946,"endHours":10.404606778987946,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:24","end":"11:24","startHours":10.404606778987946,"endHours":11.404606778987946,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:24","end":"12:24","startHours":11.404606778987946,"endHours":12.404606778987946,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:24","end":"13:24","startHours":12.404606778987946,"endHours":13.404606778987946,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:24","end":"14:24","startHours":13.404606778987946,"endHours":14.404606778987946,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:24","end":"15:24","startHours":14.404606778987946,"endHours":15.404606778987946,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:24","end":"16:24","startHours":15.404606778987946,"endHours":16.404606778987947,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:24","end":"17:24","startHours":16.404606778987947,"endHours":17.404606778987947,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:24","end":"18:24","startHours":17.404606778987947,"endHours":18.404606778987947,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:24","end":"19:24","startHours":18.404606778987947,"endHours":19.404606778987947,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:24","end":"20:24","startHours":19.404606778987947,"endHours":20.404606778987947,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:24","end":"21:24","startHours":20.404606778987947,"endHours":21.404606778987947,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:24","end":"22:24","startHours":21.404606778987947,"endHours":22.404606778987947,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:24","end":"23:24","startHours":22.404606778987947,"endHours":23.404606778987947,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:24","end":"00:24","startHours":23.404606778987947,"endHours":24.404606778987947,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:24","end":"01:24","startHours":24.404606778987947,"endHours":25.404606778987947,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:24","end":"02:24","startHours":25.404606778987947,"endHours":26.404606778987947,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:24","end":"03:24","startHours":26.404606778987947,"endHours":27.404606778987947,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:24","end":"04:24","startHours":27.404606778987947,"endHours":28.404606778987947,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:24","end":"05:24","startHours":28.404606778987947,"endHours":29.404606778987947,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:24","end":"06:24","startHours":29.404606778987947,"endHours":30.404606778987947,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:24","end":"07:24","startHours":30.404606778987947,"endHours":31.404606778987947,"planetary_lord":"Mercury"}],"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.13757283920624,"eotMinutes":5.090650249418121,"ayanamsa":25.319}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 13, 2104 CE · Phoenix, USA · Vidhyamitra","description":"December 13, 2104 CE for Phoenix, USA: Kṛṣṇa Ekādaśī, sūryodaya 07:24, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2104-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2104-12-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2104-12-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2104-12-13","x-default":"https://vidhyamitra.com/city/phoenix/2104-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:22:06.775Z","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":"2026-06-02T19:22:06.775Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:22:06.775Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}