{"id":"vidhyamitra:city-day:chicago:2016-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2016-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-01-04","date_display":"January 4, 2016 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":2016,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457391.770833,"kali_year":5117,"ahargana":1868926.2708,"sun":{"sidereal_longitude":258.7668,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.4118,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6449,"elapsed_within_tithi_degrees":1.6449},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.4118,"elapsed_within_degrees":1.7451},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.1786},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2016,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457391.770833,"ahargana":1868926.2708,"kali_year":5117,"ayanamsa_lahiri":24.0766,"grahas":{"sun":{"sidereal_longitude":259.01732100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":188.54352100000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":2.457},"mars":{"sidereal_longitude":185.93122100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":276.62812099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":148.404721,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":221.445021,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":227.17072099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":155.2923,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":335.2923,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2016,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457391.770833,"kali_year":5117,"ahargana":1868926.2708,"sun":{"sidereal_longitude":258.7668,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.4118,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6449,"elapsed_within_tithi_degrees":1.6449},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.4118,"elapsed_within_degrees":1.7451},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.1786},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.457,"elongation":70.355},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.457,"opposition_distance":109.645}},"eclipse_window_40days":[]},"city":{"slug":"chicago","name":"Chicago, USA","lat":41.8781,"lon":-87.6298,"tz_offset_hours":-6,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"chicago","name":"Chicago, USA","lat":41.8781,"lon":-87.6298,"tz_offset_hours":-6,"country":"US","tier":"diaspora"},"sunriseLocal":"07:19","sunsetLocal":"16:32","solarNoonLocal":"11:56","dayLengthHours":9.222986395582085,"dayLengthDisplay":"9 Hours 13 Mins 23 Secs","nightLengthDisplay":"14 Hours 46 Mins 37 Secs","moonriseLocal":"01:56","moonsetLocal":"12:32","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:37","startHours":8.467098549412487,"endHours":9.619971848860247,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:46","end":"11:56","startHours":10.772845148308008,"endHours":11.92571844775577,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:05","end":"14:14","startHours":13.078591747203529,"endHours":14.23146504665129,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:46","startHours":9.466255408933879,"endHours":9.773688288786616,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:57","startHours":7.698516349780647,"endHours":7.9444626536628355,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:14","startHours":11.618285567903033,"endHours":12.233151327608507,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:05","end":"06:42","startHours":6.084493730553782,"endHours":6.699359490259255,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:33","end":"07:19","startHours":6.545643050332886,"endHours":7.314225249964727,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:28","end":"14:05","startHours":13.46288284701945,"endHours":14.077748606724922,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:20","end":"16:44","startHours":16.337211645546812,"endHours":16.73721164554681,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:32","end":"16:55","startHours":16.53721164554681,"endHours":16.921502745362734,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:17","end":"18:02","startHours":16.28721164554681,"endHours":18.03721164554681,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:14","startHours":23.618285567903033,"endHours":24.233151327608507,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:19","end":"08:28","startHours":7.314225249964727,"endHours":8.467098549412487,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:37","startHours":8.467098549412487,"endHours":9.619971848860247,"quality":"inauspicious"},{"name":"Śubha","start":"09:37","end":"10:46","startHours":9.619971848860247,"endHours":10.772845148308008,"quality":"auspicious"},{"name":"Roga","start":"10:46","end":"11:56","startHours":10.772845148308008,"endHours":11.92571844775577,"quality":"inauspicious"},{"name":"Udveg","start":"11:56","end":"13:05","startHours":11.92571844775577,"endHours":13.078591747203529,"quality":"inauspicious"},{"name":"Chala","start":"13:05","end":"14:14","startHours":13.078591747203529,"endHours":14.23146504665129,"quality":"neutral"},{"name":"Labha","start":"14:14","end":"15:23","startHours":14.23146504665129,"endHours":15.384338346099051,"quality":"auspicious"},{"name":"Amṛta","start":"15:23","end":"16:32","startHours":15.384338346099051,"endHours":16.53721164554681,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:32","end":"18:23","startHours":16.53721164554681,"endHours":18.38433834609905,"quality":"neutral"},{"name":"Labha","start":"18:23","end":"20:14","startHours":18.38433834609905,"endHours":20.23146504665129,"quality":"auspicious"},{"name":"Amṛta","start":"20:14","end":"22:05","startHours":20.23146504665129,"endHours":22.07859174720353,"quality":"auspicious"},{"name":"Kāla","start":"22:05","end":"23:56","startHours":22.07859174720353,"endHours":23.92571844775577,"quality":"inauspicious"},{"name":"Śubha","start":"23:56","end":"01:46","startHours":23.92571844775577,"endHours":25.772845148308008,"quality":"auspicious"},{"name":"Roga","start":"01:46","end":"03:37","startHours":25.772845148308008,"endHours":27.619971848860246,"quality":"inauspicious"},{"name":"Udveg","start":"03:37","end":"05:28","startHours":27.619971848860246,"endHours":29.467098549412487,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:19","startHours":29.467098549412487,"endHours":31.31422524996473,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:19","end":"08:19","startHours":7.314225249964727,"endHours":8.314225249964727,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:19","end":"09:19","startHours":8.314225249964727,"endHours":9.314225249964727,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:19","end":"10:19","startHours":9.314225249964727,"endHours":10.314225249964727,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:19","end":"11:19","startHours":10.314225249964727,"endHours":11.314225249964727,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:19","end":"12:19","startHours":11.314225249964727,"endHours":12.314225249964727,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:19","end":"13:19","startHours":12.314225249964727,"endHours":13.314225249964727,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:19","end":"14:19","startHours":13.314225249964727,"endHours":14.314225249964727,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:19","end":"15:19","startHours":14.314225249964727,"endHours":15.314225249964727,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:19","end":"16:19","startHours":15.314225249964727,"endHours":16.31422524996473,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:19","end":"17:19","startHours":16.31422524996473,"endHours":17.31422524996473,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:19","end":"18:19","startHours":17.31422524996473,"endHours":18.31422524996473,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:19","end":"19:19","startHours":18.31422524996473,"endHours":19.31422524996473,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:19","end":"20:19","startHours":19.31422524996473,"endHours":20.31422524996473,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:19","end":"21:19","startHours":20.31422524996473,"endHours":21.31422524996473,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:19","end":"22:19","startHours":21.31422524996473,"endHours":22.31422524996473,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:19","end":"23:19","startHours":22.31422524996473,"endHours":23.31422524996473,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:19","end":"00:19","startHours":23.31422524996473,"endHours":24.31422524996473,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:19","end":"01:19","startHours":24.31422524996473,"endHours":25.31422524996473,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:19","end":"02:19","startHours":25.31422524996473,"endHours":26.31422524996473,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:19","end":"03:19","startHours":26.31422524996473,"endHours":27.31422524996473,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:19","end":"04:19","startHours":27.31422524996473,"endHours":28.31422524996473,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:19","end":"05:19","startHours":28.31422524996473,"endHours":29.31422524996473,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:19","end":"06:19","startHours":29.31422524996473,"endHours":30.31422524996473,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:19","end":"07:19","startHours":30.31422524996473,"endHours":31.31422524996473,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.792283057437885,"eotMinutes":-5.02390686534617,"ayanamsa":24.0766}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"chicago"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 4, 2016 CE · Chicago, USA · Vidhyamitra","description":"January 4, 2016 CE for Chicago, USA: Kṛṣṇa Daśamī, sūryodaya 07:19, sūryāsta 16:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2016-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2016-01-04","sa":"https://sa.vidhyamitra.com/city/chicago/2016-01-04","hi":"https://hi.vidhyamitra.com/city/chicago/2016-01-04","x-default":"https://vidhyamitra.com/city/chicago/2016-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:43:38.166Z","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":"2026-05-15T16:43:38.166Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:43:38.166Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}