{"id":"vidhyamitra:city-day:phoenix:2015-12-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2015-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-05","date_display":"December 5, 2015 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":2015,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457361.770833,"kali_year":5117,"ahargana":1868896.2708,"sun":{"sidereal_longitude":227.9758,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":155.4385,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.4627,"elapsed_within_tithi_degrees":11.4627},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.4385,"elapsed_within_degrees":8.7718},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.4143},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2015,"month":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457361.770833,"ahargana":1868896.2708,"kali_year":5117,"ayanamsa_lahiri":24.0755,"grahas":{"sun":{"sidereal_longitude":228.487567,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":157.14496699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-0.1132},"mars":{"sidereal_longitude":168.854067,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":237.896167,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":146.635267,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":185.55926699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.747567,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.8818,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":336.8818,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":2015,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457361.770833,"kali_year":5117,"ahargana":1868896.2708,"sun":{"sidereal_longitude":227.9758,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":155.4385,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.4627,"elapsed_within_tithi_degrees":11.4627},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.4385,"elapsed_within_degrees":8.7718},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.4143},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.113,"elongation":72.537},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.113,"opposition_distance":107.463}},"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":"07:18","sunsetLocal":"17:21","solarNoonLocal":"12:20","dayLengthHours":10.053126849984771,"dayLengthDisplay":"10 Hours 03 Mins 11 Secs","nightLengthDisplay":"13 Hours 56 Mins 49 Secs","moonriseLocal":"01:33","moonsetLocal":"13:36","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:04","startHours":9.81572856516974,"endHours":11.072369421417836,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"14:51","startHours":13.58565113391403,"endHours":14.842291990162126,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:18","end":"08:34","startHours":7.3024468526735475,"endHours":8.559087708921645,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.648176451003327,"endHours":9.983280679336154,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:43","end":"07:59","startHours":7.721327138089579,"endHours":7.98941052075584,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:40","startHours":11.993906049333107,"endHours":12.664114505998759,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:58","end":"06:38","startHours":5.962029939342244,"endHours":6.632238396007896,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:18","startHours":6.464686281841483,"endHours":7.3024468526735475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:40","startHours":14.004531419330062,"endHours":14.674739875995714,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.15557370265832,"endHours":17.555573702658318,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:46","startHours":17.35557370265832,"endHours":17.774453988074352,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.10557370265832,"endHours":18.85557370265832,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:40","startHours":23.99390604933311,"endHours":24.664114505998757,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:18","end":"08:34","startHours":7.3024468526735475,"endHours":8.559087708921645,"quality":"inauspicious"},{"name":"Śubha","start":"08:34","end":"09:49","startHours":8.559087708921645,"endHours":9.81572856516974,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:04","startHours":9.81572856516974,"endHours":11.072369421417836,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:20","startHours":11.072369421417836,"endHours":12.329010277665933,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:35","startHours":12.329010277665933,"endHours":13.58565113391403,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"14:51","startHours":13.58565113391403,"endHours":14.842291990162126,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:06","startHours":14.842291990162126,"endHours":16.09893284641022,"quality":"auspicious"},{"name":"Kāla","start":"16:06","end":"17:21","startHours":16.09893284641022,"endHours":17.35557370265832,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:21","end":"19:06","startHours":17.35557370265832,"endHours":19.09893284641022,"quality":"auspicious"},{"name":"Amṛta","start":"19:06","end":"20:51","startHours":19.09893284641022,"endHours":20.842291990162124,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:35","startHours":20.842291990162124,"endHours":22.58565113391403,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:20","startHours":22.58565113391403,"endHours":24.329010277665933,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"02:04","startHours":24.329010277665933,"endHours":26.072369421417836,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:49","startHours":26.072369421417836,"endHours":27.815728565169742,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:34","startHours":27.815728565169742,"endHours":29.559087708921645,"quality":"neutral"},{"name":"Labha","start":"05:34","end":"07:18","startHours":29.559087708921645,"endHours":31.302446852673548,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:18","end":"08:18","startHours":7.3024468526735475,"endHours":8.302446852673548,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:18","end":"09:18","startHours":8.302446852673548,"endHours":9.302446852673548,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:18","end":"10:18","startHours":9.302446852673548,"endHours":10.302446852673548,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:18","end":"11:18","startHours":10.302446852673548,"endHours":11.302446852673548,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:18","end":"12:18","startHours":11.302446852673548,"endHours":12.302446852673548,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:18","end":"13:18","startHours":12.302446852673548,"endHours":13.302446852673548,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:18","end":"14:18","startHours":13.302446852673548,"endHours":14.302446852673548,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:18","end":"15:18","startHours":14.302446852673548,"endHours":15.302446852673548,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:18","end":"16:18","startHours":15.302446852673548,"endHours":16.302446852673548,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:18","end":"17:18","startHours":16.302446852673548,"endHours":17.302446852673548,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:18","end":"18:18","startHours":17.302446852673548,"endHours":18.302446852673548,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:18","end":"19:18","startHours":18.302446852673548,"endHours":19.302446852673548,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:18","end":"20:18","startHours":19.302446852673548,"endHours":20.302446852673548,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:18","end":"21:18","startHours":20.302446852673548,"endHours":21.302446852673548,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:18","end":"22:18","startHours":21.302446852673548,"endHours":22.302446852673548,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:18","end":"23:18","startHours":22.302446852673548,"endHours":23.302446852673548,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:18","end":"00:18","startHours":23.302446852673548,"endHours":24.302446852673548,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:18","end":"01:18","startHours":24.302446852673548,"endHours":25.302446852673548,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:18","end":"02:18","startHours":25.302446852673548,"endHours":26.302446852673548,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:18","end":"03:18","startHours":26.302446852673548,"endHours":27.302446852673548,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:18","end":"04:18","startHours":27.302446852673548,"endHours":28.302446852673548,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:18","end":"05:18","startHours":28.302446852673548,"endHours":29.302446852673548,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:18","end":"06:18","startHours":29.302446852673548,"endHours":30.302446852673548,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:18","end":"07:18","startHours":30.302446852673548,"endHours":31.302446852673548,"planetary_lord":"Mercury"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","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":-22.299965825794192,"eotMinutes":8.555383340043877,"ayanamsa":24.0755}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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":"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 5, 2015 CE · Phoenix, USA · Vidhyamitra","description":"December 5, 2015 CE for Phoenix, USA: Kṛṣṇa Navamī, sūryodaya 07:18, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2015-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2015-12-05","sa":"https://sa.vidhyamitra.com/city/phoenix/2015-12-05","hi":"https://hi.vidhyamitra.com/city/phoenix/2015-12-05","x-default":"https://vidhyamitra.com/city/phoenix/2015-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T20:01:32.277Z","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":"2026-05-15T20:01:32.277Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T20:01:32.277Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}