{"id":"vidhyamitra:city-day:phoenix:2118-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2118-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2118-01-20","date_display":"January 20, 2118 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":2118,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494662.770833,"kali_year":5219,"ahargana":1906197.2708,"sun":{"sidereal_longitude":273.7743,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.9024,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.1281,"elapsed_within_tithi_degrees":2.1281},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.9024,"elapsed_within_degrees":11.9024},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.6767},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2118,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494662.770833,"ahargana":1906197.2708,"kali_year":5219,"ayanamsa_lahiri":25.5021,"grahas":{"sun":{"sidereal_longitude":274.13789399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":250.76069400000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-4.4986},"mars":{"sidereal_longitude":249.71639400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.848394,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":340.933694,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":230.716094,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":18.418294000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":340.4953,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.4953,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2118,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494662.770833,"kali_year":5219,"ahargana":1906197.2708,"sun":{"sidereal_longitude":273.7743,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.9024,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.1281,"elapsed_within_tithi_degrees":2.1281},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.9024,"elapsed_within_degrees":11.9024},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.6767},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":21.872},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":158.128}},"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":"07:31","sunsetLocal":"17:47","solarNoonLocal":"12:39","dayLengthHours":10.267896332839976,"dayLengthDisplay":"10 Hours 16 Mins 04 Secs","nightLengthDisplay":"13 Hours 43 Mins 56 Secs","moonriseLocal":"06:09","moonsetLocal":"16:03","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:13","startHours":13.937825430558817,"endHours":15.221312472163815,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:31","end":"08:48","startHours":7.520390222533832,"endHours":8.80387726413883,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"11:22","startHours":10.087364305743826,"endHours":11.370851347348824,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:16","startHours":9.916232700196494,"endHours":10.25849591129116,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:13","startHours":7.948219236402164,"endHours":8.222029805277897,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.312075177859155,"endHours":12.996601600048487,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:50","startHours":6.151337378155168,"endHours":6.835863800344501,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:31","startHours":6.664732194797168,"endHours":7.520390222533832,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:03","startHours":14.36565444442715,"endHours":15.050180866616483,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58828655537381,"endHours":17.988286555373808,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.78828655537381,"endHours":18.21611556924214,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53828655537381,"endHours":19.28828655537381,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.312075177859157,"endHours":24.996601600048486,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:31","end":"08:48","startHours":7.520390222533832,"endHours":8.80387726413883,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:05","startHours":8.80387726413883,"endHours":10.087364305743826,"quality":"inauspicious"},{"name":"Udveg","start":"10:05","end":"11:22","startHours":10.087364305743826,"endHours":11.370851347348824,"quality":"inauspicious"},{"name":"Chala","start":"11:22","end":"12:39","startHours":11.370851347348824,"endHours":12.654338388953821,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.937825430558817,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:13","startHours":13.937825430558817,"endHours":15.221312472163815,"quality":"auspicious"},{"name":"Kāla","start":"15:13","end":"16:30","startHours":15.221312472163815,"endHours":16.50479951376881,"quality":"inauspicious"},{"name":"Śubha","start":"16:30","end":"17:47","startHours":16.50479951376881,"endHours":17.78828655537381,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:30","startHours":17.78828655537381,"endHours":19.504799513768813,"quality":"auspicious"},{"name":"Kāla","start":"19:30","end":"21:13","startHours":19.504799513768813,"endHours":21.221312472163813,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:56","startHours":21.221312472163813,"endHours":22.937825430558817,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:39","startHours":22.937825430558817,"endHours":24.65433838895382,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:22","startHours":24.65433838895382,"endHours":26.370851347348825,"quality":"inauspicious"},{"name":"Chala","start":"02:22","end":"04:05","startHours":26.370851347348825,"endHours":28.087364305743826,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:48","startHours":28.087364305743826,"endHours":29.80387726413883,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:31","startHours":29.80387726413883,"endHours":31.520390222533834,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:31","end":"08:31","startHours":7.520390222533832,"endHours":8.520390222533832,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:31","end":"09:31","startHours":8.520390222533832,"endHours":9.520390222533832,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:31","end":"10:31","startHours":9.520390222533832,"endHours":10.520390222533832,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:31","end":"11:31","startHours":10.520390222533832,"endHours":11.520390222533832,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:31","end":"12:31","startHours":11.520390222533832,"endHours":12.520390222533832,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:31","end":"13:31","startHours":12.520390222533832,"endHours":13.520390222533832,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:31","end":"14:31","startHours":13.520390222533832,"endHours":14.520390222533832,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:31","end":"15:31","startHours":14.520390222533832,"endHours":15.520390222533832,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:31","end":"16:31","startHours":15.520390222533832,"endHours":16.520390222533834,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:31","end":"17:31","startHours":16.520390222533834,"endHours":17.520390222533834,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:31","end":"18:31","startHours":17.520390222533834,"endHours":18.520390222533834,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:31","end":"19:31","startHours":18.520390222533834,"endHours":19.520390222533834,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:31","end":"20:31","startHours":19.520390222533834,"endHours":20.520390222533834,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:31","end":"21:31","startHours":20.520390222533834,"endHours":21.520390222533834,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:31","end":"22:31","startHours":21.520390222533834,"endHours":22.520390222533834,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:31","end":"23:31","startHours":22.520390222533834,"endHours":23.520390222533834,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:31","end":"00:31","startHours":23.520390222533834,"endHours":24.520390222533834,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:31","end":"01:31","startHours":24.520390222533834,"endHours":25.520390222533834,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:31","end":"02:31","startHours":25.520390222533834,"endHours":26.520390222533834,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:31","end":"03:31","startHours":26.520390222533834,"endHours":27.520390222533834,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:31","end":"04:31","startHours":27.520390222533834,"endHours":28.520390222533834,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:31","end":"05:31","startHours":28.520390222533834,"endHours":29.520390222533834,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:31","end":"06:31","startHours":29.520390222533834,"endHours":30.520390222533834,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:31","end":"07:31","startHours":30.520390222533834,"endHours":31.520390222533834,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","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":-20.223869222759753,"eotMinutes":-10.9643033372293,"ayanamsa":25.5021}},"calendars":{"vikram_samvat":2175,"vikram_samvatsara":"Khara","saka_samvat":2040,"saka_samvatsara":"Bahudhānya","bengali_samvat":1525,"malayalam_era":1294,"nanakshahi_year":649,"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 Caturdaśī · Vikram 2175 Khara · Śaka 2040 Bahudhānya"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 20, 2118 CE · Phoenix, USA · Vidhyamitra","description":"January 20, 2118 CE for Phoenix, USA: Kṛṣṇa Caturdaśī, sūryodaya 07:31, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2118-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2118-01-20","sa":"https://sa.vidhyamitra.com/city/phoenix/2118-01-20","hi":"https://hi.vidhyamitra.com/city/phoenix/2118-01-20","x-default":"https://vidhyamitra.com/city/phoenix/2118-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:56:41.742Z","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":"2026-06-01T22:56:41.742Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:56:41.742Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}