{"id":"vidhyamitra:city-day:phoenix:2172-12-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2172-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-12-05","date_display":"December 5, 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":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514705.770833,"kali_year":5274,"ahargana":1926240.2708,"sun":{"sidereal_longitude":226.3149,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":100.2975,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.9827,"elapsed_within_tithi_degrees":5.9827},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.2975,"elapsed_within_degrees":6.9642},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.6124},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2172,"month":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514705.770833,"ahargana":1926240.2708,"kali_year":5274,"ayanamsa_lahiri":26.2687,"grahas":{"sun":{"sidereal_longitude":227.21340499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":97.21900500000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":4.4051},"mars":{"sidereal_longitude":274.02050499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":224.42080499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":214.30920500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":209.34030499999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":326.419805,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":358.5207,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":178.5207,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514705.770833,"kali_year":5274,"ahargana":1926240.2708,"sun":{"sidereal_longitude":226.3149,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":100.2975,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.9827,"elapsed_within_tithi_degrees":5.9827},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.2975,"elapsed_within_degrees":6.9642},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.6124},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.405,"elongation":126.017},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.405,"opposition_distance":53.983}},"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":"07:19","sunsetLocal":"17:21","solarNoonLocal":"12:20","dayLengthHours":10.040966283383689,"dayLengthDisplay":"10 Hours 02 Mins 27 Secs","nightLengthDisplay":"13 Hours 57 Mins 33 Secs","moonriseLocal":"20:43","moonsetLocal":"10:37","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:04","startHours":9.818768706820011,"endHours":11.073889492242973,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"14:50","startHours":13.584131063088893,"endHours":14.839251848511855,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:19","end":"08:34","startHours":7.308527135974089,"endHours":8.563647921397049,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.651419268763616,"endHours":9.986118144876405,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:44","end":"08:00","startHours":7.726900731115076,"endHours":7.994659832005308,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:40","startHours":11.994311401553144,"endHours":12.663709153778722,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:58","end":"06:38","startHours":5.96973163152293,"endHours":6.639129383748509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:19","startHours":6.471779945692115,"endHours":7.308527135974089,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:40","startHours":14.002504658229881,"endHours":14.671902410455461,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.14949341935778,"endHours":17.549493419357777,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:46","startHours":17.349493419357778,"endHours":17.767867014498766,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.099493419357778,"endHours":18.849493419357778,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:40","startHours":23.994311401553144,"endHours":24.663709153778722,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:19","end":"08:34","startHours":7.308527135974089,"endHours":8.563647921397049,"quality":"inauspicious"},{"name":"Śubha","start":"08:34","end":"09:49","startHours":8.563647921397049,"endHours":9.818768706820011,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:04","startHours":9.818768706820011,"endHours":11.073889492242973,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:20","startHours":11.073889492242973,"endHours":12.329010277665933,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:35","startHours":12.329010277665933,"endHours":13.584131063088893,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"14:50","startHours":13.584131063088893,"endHours":14.839251848511855,"quality":"auspicious"},{"name":"Amṛta","start":"14:50","end":"16:06","startHours":14.839251848511855,"endHours":16.094372633934817,"quality":"auspicious"},{"name":"Kāla","start":"16:06","end":"17:21","startHours":16.094372633934817,"endHours":17.349493419357778,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:21","end":"19:06","startHours":17.349493419357778,"endHours":19.094372633934817,"quality":"auspicious"},{"name":"Amṛta","start":"19:06","end":"20:50","startHours":19.094372633934817,"endHours":20.839251848511857,"quality":"auspicious"},{"name":"Kāla","start":"20:50","end":"22:35","startHours":20.839251848511857,"endHours":22.584131063088893,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:20","startHours":22.584131063088893,"endHours":24.329010277665933,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"02:04","startHours":24.329010277665933,"endHours":26.073889492242973,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:49","startHours":26.073889492242973,"endHours":27.81876870682001,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:34","startHours":27.81876870682001,"endHours":29.56364792139705,"quality":"neutral"},{"name":"Labha","start":"05:34","end":"07:19","startHours":29.56364792139705,"endHours":31.30852713597409,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:19","end":"08:19","startHours":7.308527135974089,"endHours":8.308527135974089,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:19","end":"09:19","startHours":8.308527135974089,"endHours":9.308527135974089,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:19","end":"10:19","startHours":9.308527135974089,"endHours":10.308527135974089,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:19","end":"11:19","startHours":10.308527135974089,"endHours":11.308527135974089,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:19","end":"12:19","startHours":11.308527135974089,"endHours":12.308527135974089,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:19","end":"13:19","startHours":12.308527135974089,"endHours":13.308527135974089,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:19","end":"14:19","startHours":13.308527135974089,"endHours":14.308527135974089,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:19","end":"15:19","startHours":14.308527135974089,"endHours":15.308527135974089,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:19","end":"16:19","startHours":15.308527135974089,"endHours":16.30852713597409,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:19","end":"17:19","startHours":16.30852713597409,"endHours":17.30852713597409,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:19","end":"18:19","startHours":17.30852713597409,"endHours":18.30852713597409,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:19","end":"19:19","startHours":18.30852713597409,"endHours":19.30852713597409,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:19","end":"20:19","startHours":19.30852713597409,"endHours":20.30852713597409,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:19","end":"21:19","startHours":20.30852713597409,"endHours":21.30852713597409,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:19","end":"22:19","startHours":21.30852713597409,"endHours":22.30852713597409,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:19","end":"23:19","startHours":22.30852713597409,"endHours":23.30852713597409,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:19","end":"00:19","startHours":23.30852713597409,"endHours":24.30852713597409,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:19","end":"01:19","startHours":24.30852713597409,"endHours":25.30852713597409,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:19","end":"02:19","startHours":25.30852713597409,"endHours":26.30852713597409,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:19","end":"03:19","startHours":26.30852713597409,"endHours":27.30852713597409,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:19","end":"04:19","startHours":27.30852713597409,"endHours":28.30852713597409,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:19","end":"05:19","startHours":28.30852713597409,"endHours":29.30852713597409,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:19","end":"06:19","startHours":29.30852713597409,"endHours":30.30852713597409,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:19","end":"07:19","startHours":30.30852713597409,"endHours":31.30852713597409,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.41537338415166,"eotMinutes":8.555383340043877,"ayanamsa":26.2687}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"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 Pañcamī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"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, 2172 CE · Phoenix, USA · Vidhyamitra","description":"December 5, 2172 CE for Phoenix, USA: Kṛṣṇa Pañcamī, sūryodaya 07:19, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2172-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2172-12-05","sa":"https://sa.vidhyamitra.com/city/phoenix/2172-12-05","hi":"https://hi.vidhyamitra.com/city/phoenix/2172-12-05","x-default":"https://vidhyamitra.com/city/phoenix/2172-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:06:15.710Z","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":"2026-06-02T14:06:15.710Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:06:15.710Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}