{"id":"vidhyamitra:city-day:phoenix:2104-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2104-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489548.770833,"kali_year":5205,"ahargana":1901083.2708,"sun":{"sidereal_longitude":273.387,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.2148,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8279,"elapsed_within_tithi_degrees":3.8279},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.2148,"elapsed_within_degrees":7.8815},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6018},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489548.770833,"ahargana":1901083.2708,"kali_year":5205,"ayanamsa_lahiri":25.3065,"grahas":{"sun":{"sidereal_longitude":273.72098700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":179.05828700000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-4.2347},"mars":{"sidereal_longitude":92.40198699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":259.248687,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":280.85548700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":244.06188700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.018287,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.4597,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.4597,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2104,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489548.770833,"kali_year":5205,"ahargana":1901083.2708,"sun":{"sidereal_longitude":273.387,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.2148,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8279,"elapsed_within_tithi_degrees":3.8279},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.2148,"elapsed_within_degrees":7.8815},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6018},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.235,"elongation":92.172},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.235,"opposition_distance":87.828}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-0.89,"opposition_distance":1.868}]},"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":"07:32","sunsetLocal":"17:47","solarNoonLocal":"12:39","dayLengthHours":10.254940321834532,"dayLengthDisplay":"10 Hours 15 Mins 18 Secs","nightLengthDisplay":"13 Hours 44 Mins 42 Secs","moonriseLocal":"00:43","moonsetLocal":"11:58","rahuKala":{"name":"Rāhu Kāla","start":"16:30","end":"17:47","startHours":16.49994100964177,"endHours":17.781808549871087,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.936205929183137,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:13","end":"16:30","startHours":15.218073469412452,"endHours":16.49994100964177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:16","startHours":9.919687636464612,"endHours":10.261518980525763,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:14","startHours":7.9541574081129935,"endHours":8.227622483361914,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.312507044892671,"endHours":12.996169733014971,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:10","end":"06:51","startHours":6.15954285179195,"endHours":6.843205539914252,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:32","startHours":6.672289867883677,"endHours":7.526868228036554,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:03","startHours":14.363495109259576,"endHours":15.047157797381878,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.581808549871088,"endHours":17.981808549871086,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.781808549871087,"endHours":18.209097729947526,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.531808549871087,"endHours":19.281808549871087,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.31250704489267,"endHours":24.996169733014973,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:32","end":"08:49","startHours":7.526868228036554,"endHours":8.808735768265871,"quality":"inauspicious"},{"name":"Chala","start":"08:49","end":"10:05","startHours":8.808735768265871,"endHours":10.090603308495186,"quality":"neutral"},{"name":"Labha","start":"10:05","end":"11:22","startHours":10.090603308495186,"endHours":11.372470848724504,"quality":"auspicious"},{"name":"Amṛta","start":"11:22","end":"12:39","startHours":11.372470848724504,"endHours":12.654338388953821,"quality":"auspicious"},{"name":"Kāla","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.936205929183137,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:13","startHours":13.936205929183137,"endHours":15.218073469412452,"quality":"auspicious"},{"name":"Roga","start":"15:13","end":"16:30","startHours":15.218073469412452,"endHours":16.49994100964177,"quality":"inauspicious"},{"name":"Udveg","start":"16:30","end":"17:47","startHours":16.49994100964177,"endHours":17.781808549871087,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:47","end":"19:30","startHours":17.781808549871087,"endHours":19.49994100964177,"quality":"auspicious"},{"name":"Roga","start":"19:30","end":"21:13","startHours":19.49994100964177,"endHours":21.218073469412452,"quality":"inauspicious"},{"name":"Udveg","start":"21:13","end":"22:56","startHours":21.218073469412452,"endHours":22.93620592918314,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:39","startHours":22.93620592918314,"endHours":24.65433838895382,"quality":"neutral"},{"name":"Labha","start":"00:39","end":"02:22","startHours":24.65433838895382,"endHours":26.372470848724504,"quality":"auspicious"},{"name":"Amṛta","start":"02:22","end":"04:05","startHours":26.372470848724504,"endHours":28.09060330849519,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:49","startHours":28.09060330849519,"endHours":29.808735768265873,"quality":"inauspicious"},{"name":"Śubha","start":"05:49","end":"07:32","startHours":29.808735768265873,"endHours":31.526868228036555,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:32","end":"08:32","startHours":7.526868228036554,"endHours":8.526868228036555,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:32","end":"09:32","startHours":8.526868228036555,"endHours":9.526868228036555,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:32","end":"10:32","startHours":9.526868228036555,"endHours":10.526868228036555,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:32","end":"11:32","startHours":10.526868228036555,"endHours":11.526868228036555,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:32","end":"12:32","startHours":11.526868228036555,"endHours":12.526868228036555,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:32","end":"13:32","startHours":12.526868228036555,"endHours":13.526868228036555,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:32","end":"14:32","startHours":13.526868228036555,"endHours":14.526868228036555,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:32","end":"15:32","startHours":14.526868228036555,"endHours":15.526868228036555,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:32","end":"16:32","startHours":15.526868228036555,"endHours":16.526868228036555,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:32","end":"17:32","startHours":16.526868228036555,"endHours":17.526868228036555,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:32","end":"18:32","startHours":17.526868228036555,"endHours":18.526868228036555,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:32","end":"19:32","startHours":18.526868228036555,"endHours":19.526868228036555,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:32","end":"20:32","startHours":19.526868228036555,"endHours":20.526868228036555,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:32","end":"21:32","startHours":20.526868228036555,"endHours":21.526868228036555,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:32","end":"22:32","startHours":21.526868228036555,"endHours":22.526868228036555,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:32","end":"23:32","startHours":22.526868228036555,"endHours":23.526868228036555,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:32","end":"00:32","startHours":23.526868228036555,"endHours":24.526868228036555,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:32","end":"01:32","startHours":24.526868228036555,"endHours":25.526868228036555,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:32","end":"02:32","startHours":25.526868228036555,"endHours":26.526868228036555,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:32","end":"03:32","startHours":26.526868228036555,"endHours":27.526868228036555,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:32","end":"04:32","startHours":27.526868228036555,"endHours":28.526868228036555,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:32","end":"05:32","startHours":28.526868228036555,"endHours":29.526868228036555,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:32","end":"06:32","startHours":29.526868228036555,"endHours":30.526868228036555,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:32","end":"07:32","startHours":30.526868228036555,"endHours":31.526868228036555,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.351107403384226,"eotMinutes":-10.9643033372293,"ayanamsa":25.3065}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 January 20, 2104 CE · Phoenix, USA · Vidhyamitra","description":"January 20, 2104 CE for Phoenix, USA: Kṛṣṇa Aṣṭamī, sūryodaya 07:32, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2104-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2104-01-20","sa":"https://sa.vidhyamitra.com/city/phoenix/2104-01-20","hi":"https://hi.vidhyamitra.com/city/phoenix/2104-01-20","x-default":"https://vidhyamitra.com/city/phoenix/2104-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:07:49.835Z","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":"2026-06-01T00:07:49.835Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:07:49.835Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}