{"id":"vidhyamitra:city-day:phoenix:2116-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2116-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-01-03","date_display":"January 3, 2116 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":2116,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493914.770833,"kali_year":5217,"ahargana":1905449.2708,"sun":{"sidereal_longitude":255.8103,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":110.6778,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.8675,"elapsed_within_tithi_degrees":10.8675},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.6778,"elapsed_within_degrees":4.0111},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.4881},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2116,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493914.770833,"ahargana":1905449.2708,"kali_year":5217,"ayanamsa_lahiri":25.4735,"grahas":{"sun":{"sidereal_longitude":256.3214740000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":114.223074,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":4.4998},"mars":{"sidereal_longitude":222.369374,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":237.23637399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":279.68697399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":295.26127399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":351.661574,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.128,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.128,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2116,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493914.770833,"kali_year":5217,"ahargana":1905449.2708,"sun":{"sidereal_longitude":255.8103,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":110.6778,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.8675,"elapsed_within_tithi_degrees":10.8675},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.6778,"elapsed_within_degrees":4.0111},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.4881},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":145.133},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":34.867}},"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":"07:33","sunsetLocal":"17:33","solarNoonLocal":"12:33","dayLengthHours":9.988235351909445,"dayLengthDisplay":"9 Hours 59 Mins 18 Secs","nightLengthDisplay":"14 Hours 00 Mins 42 Secs","moonriseLocal":"20:21","moonsetLocal":"09:48","rahuKala":{"name":"Rāhu Kāla","start":"11:18","end":"12:33","startHours":11.299560928188955,"endHours":12.548090347177634,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:03","end":"16:18","startHours":15.045149185154997,"endHours":16.293678604143675,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:48","end":"10:03","startHours":8.802502090211593,"endHours":10.051031509200275,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.884560920001784,"endHours":10.217502098398764,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.97014914421914,"endHours":8.236502086936724,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.215149168780654,"endHours":12.881031525574615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.2222079576349865,"endHours":6.88809031442895,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.721619725230459,"endHours":7.553972671222913,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.212796239162543,"endHours":14.878678595956506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.342208023132358,"endHours":17.742208023132356,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.542208023132357,"endHours":17.958384496128584,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.292208023132357,"endHours":19.042208023132357,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.215149168780652,"endHours":24.881031525574617,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:33","end":"08:48","startHours":7.553972671222913,"endHours":8.802502090211593,"quality":"neutral"},{"name":"Labha","start":"08:48","end":"10:03","startHours":8.802502090211593,"endHours":10.051031509200275,"quality":"auspicious"},{"name":"Amṛta","start":"10:03","end":"11:18","startHours":10.051031509200275,"endHours":11.299560928188955,"quality":"auspicious"},{"name":"Kāla","start":"11:18","end":"12:33","startHours":11.299560928188955,"endHours":12.548090347177634,"quality":"inauspicious"},{"name":"Śubha","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.796619766166316,"quality":"auspicious"},{"name":"Roga","start":"13:48","end":"15:03","startHours":13.796619766166316,"endHours":15.045149185154997,"quality":"inauspicious"},{"name":"Udveg","start":"15:03","end":"16:18","startHours":15.045149185154997,"endHours":16.293678604143675,"quality":"inauspicious"},{"name":"Chala","start":"16:18","end":"17:33","startHours":16.293678604143675,"endHours":17.542208023132357,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:33","end":"19:18","startHours":17.542208023132357,"endHours":19.293678604143675,"quality":"inauspicious"},{"name":"Udveg","start":"19:18","end":"21:03","startHours":19.293678604143675,"endHours":21.045149185154997,"quality":"inauspicious"},{"name":"Chala","start":"21:03","end":"22:48","startHours":21.045149185154997,"endHours":22.796619766166316,"quality":"neutral"},{"name":"Labha","start":"22:48","end":"00:33","startHours":22.796619766166316,"endHours":24.548090347177634,"quality":"auspicious"},{"name":"Amṛta","start":"00:33","end":"02:18","startHours":24.548090347177634,"endHours":26.299560928188953,"quality":"auspicious"},{"name":"Kāla","start":"02:18","end":"04:03","startHours":26.299560928188953,"endHours":28.05103150920027,"quality":"inauspicious"},{"name":"Śubha","start":"04:03","end":"05:48","startHours":28.05103150920027,"endHours":29.802502090211593,"quality":"auspicious"},{"name":"Roga","start":"05:48","end":"07:33","startHours":29.802502090211593,"endHours":31.553972671222912,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.553972671222913,"endHours":8.553972671222912,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.553972671222912,"endHours":9.553972671222912,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.553972671222912,"endHours":10.553972671222912,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.553972671222912,"endHours":11.553972671222912,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.553972671222912,"endHours":12.553972671222912,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.553972671222912,"endHours":13.553972671222912,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.553972671222912,"endHours":14.553972671222912,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.553972671222912,"endHours":15.553972671222912,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.553972671222912,"endHours":16.553972671222912,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.553972671222912,"endHours":17.553972671222912,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.553972671222912,"endHours":18.553972671222912,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.553972671222912,"endHours":19.553972671222912,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.553972671222912,"endHours":20.553972671222912,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.553972671222912,"endHours":21.553972671222912,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.553972671222912,"endHours":22.553972671222912,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.553972671222912,"endHours":23.553972671222912,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.553972671222912,"endHours":24.553972671222912,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.553972671222912,"endHours":25.553972671222912,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.553972671222912,"endHours":26.553972671222912,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.553972671222912,"endHours":27.553972671222912,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.553972671222912,"endHours":28.553972671222912,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.553972671222912,"endHours":29.553972671222912,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.553972671222912,"endHours":30.553972671222912,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.553972671222912,"endHours":31.553972671222912,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.91309445226603,"eotMinutes":-4.589420830658165,"ayanamsa":25.4735}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 3, 2116 CE · Phoenix, USA · Vidhyamitra","description":"January 3, 2116 CE for Phoenix, USA: Kṛṣṇa Tṛtīyā, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2116-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2116-01-03","sa":"https://sa.vidhyamitra.com/city/phoenix/2116-01-03","hi":"https://hi.vidhyamitra.com/city/phoenix/2116-01-03","x-default":"https://vidhyamitra.com/city/phoenix/2116-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:28:32.136Z","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":"2026-06-01T03:28:32.136Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:28:32.136Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}