{"id":"vidhyamitra:city-day:chicago:2016-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2016-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-10-04","date_display":"October 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":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457665.770833,"kali_year":5118,"ahargana":1869200.2708,"sun":{"sidereal_longitude":166.379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":203.1096,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.7306,"elapsed_within_tithi_degrees":0.7306},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.1096,"elapsed_within_degrees":3.1096},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.4886},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457665.770833,"ahargana":1869200.2708,"kali_year":5118,"ayanamsa_lahiri":24.0871,"grahas":{"sun":{"sidereal_longitude":167.16495199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":200.38715200000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":3.9847},"mars":{"sidereal_longitude":250.18535199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":150.571052,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":160.64285199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":198.38895200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.56315199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":140.7744,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.7744,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva 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":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457665.770833,"kali_year":5118,"ahargana":1869200.2708,"sun":{"sidereal_longitude":166.379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":203.1096,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.7306,"elapsed_within_tithi_degrees":0.7306},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.1096,"elapsed_within_degrees":3.1096},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.4886},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.985,"elongation":36.731},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.985,"opposition_distance":143.269}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":-0.783,"opposition_distance":1.976}]},"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":"05:50","sunsetLocal":"17:27","solarNoonLocal":"11:38","dayLengthHours":11.616294877254235,"dayLengthDisplay":"11 Hours 36 Mins 59 Secs","nightLengthDisplay":"12 Hours 23 Mins 01 Secs","moonriseLocal":"08:48","moonsetLocal":"18:54","rahuKala":{"name":"Rāhu Kāla","start":"14:33","end":"16:00","startHours":14.54444266618539,"endHours":15.996479525842169,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:44","end":"10:11","startHours":8.736295227558271,"endHours":10.188332087215052,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:38","end":"13:06","startHours":11.640368946871831,"endHours":13.09240580652861,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"08:56","startHours":8.542690312937367,"endHours":8.929900142179175,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:38","startHours":6.316233794796973,"endHours":6.626001658190419,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:15","end":"12:02","startHours":11.253159117630023,"endHours":12.02757877611364,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:03","startHours":4.283382191277481,"endHours":5.057801849761097,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:50","startHours":4.864196935140193,"endHours":5.832221508244713,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:21","startHours":13.57641809308087,"endHours":14.350837751564486,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24851638549895,"endHours":17.648516385498947,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:56","startHours":17.448516385498948,"endHours":17.93252867205121,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.198516385498948,"endHours":18.948516385498948,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:15","end":"00:02","startHours":23.253159117630023,"endHours":24.02757877611364,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:50","end":"07:17","startHours":5.832221508244713,"endHours":7.284258367901492,"quality":"inauspicious"},{"name":"Udveg","start":"07:17","end":"08:44","startHours":7.284258367901492,"endHours":8.736295227558271,"quality":"inauspicious"},{"name":"Chala","start":"08:44","end":"10:11","startHours":8.736295227558271,"endHours":10.188332087215052,"quality":"neutral"},{"name":"Labha","start":"10:11","end":"11:38","startHours":10.188332087215052,"endHours":11.640368946871831,"quality":"auspicious"},{"name":"Amṛta","start":"11:38","end":"13:06","startHours":11.640368946871831,"endHours":13.09240580652861,"quality":"auspicious"},{"name":"Kāla","start":"13:06","end":"14:33","startHours":13.09240580652861,"endHours":14.54444266618539,"quality":"inauspicious"},{"name":"Śubha","start":"14:33","end":"16:00","startHours":14.54444266618539,"endHours":15.996479525842169,"quality":"auspicious"},{"name":"Roga","start":"16:00","end":"17:27","startHours":15.996479525842169,"endHours":17.448516385498948,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:00","startHours":17.448516385498948,"endHours":18.99647952584217,"quality":"inauspicious"},{"name":"Śubha","start":"19:00","end":"20:33","startHours":18.99647952584217,"endHours":20.54444266618539,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"22:06","startHours":20.54444266618539,"endHours":22.09240580652861,"quality":"inauspicious"},{"name":"Udveg","start":"22:06","end":"23:38","startHours":22.09240580652861,"endHours":23.64036894687183,"quality":"inauspicious"},{"name":"Chala","start":"23:38","end":"01:11","startHours":23.64036894687183,"endHours":25.188332087215052,"quality":"neutral"},{"name":"Labha","start":"01:11","end":"02:44","startHours":25.188332087215052,"endHours":26.736295227558273,"quality":"auspicious"},{"name":"Amṛta","start":"02:44","end":"04:17","startHours":26.736295227558273,"endHours":28.284258367901494,"quality":"auspicious"},{"name":"Kāla","start":"04:17","end":"05:50","startHours":28.284258367901494,"endHours":29.832221508244714,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.832221508244713,"endHours":6.832221508244713,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.832221508244713,"endHours":7.832221508244713,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.832221508244713,"endHours":8.832221508244713,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.832221508244713,"endHours":9.832221508244713,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.832221508244713,"endHours":10.832221508244713,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.832221508244713,"endHours":11.832221508244713,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.832221508244713,"endHours":12.832221508244713,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.832221508244713,"endHours":13.832221508244713,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.832221508244713,"endHours":14.832221508244713,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.832221508244713,"endHours":15.832221508244713,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.832221508244713,"endHours":16.832221508244714,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.832221508244714,"endHours":17.832221508244714,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.832221508244714,"endHours":18.832221508244714,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.832221508244714,"endHours":19.832221508244714,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.832221508244714,"endHours":20.832221508244714,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.832221508244714,"endHours":21.832221508244714,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.832221508244714,"endHours":22.832221508244714,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.832221508244714,"endHours":23.832221508244714,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.832221508244714,"endHours":24.832221508244714,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.832221508244714,"endHours":25.832221508244714,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.832221508244714,"endHours":26.832221508244714,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.832221508244714,"endHours":27.832221508244714,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.832221508244714,"endHours":28.832221508244714,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.832221508244714,"endHours":29.832221508244714,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.451070829946622,"eotMinutes":12.09706318769023,"ayanamsa":24.0871}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 October 4, 2016 CE · Chicago, USA · Vidhyamitra","description":"October 4, 2016 CE for Chicago, USA: Śukla Caturthī, sūryodaya 05:50, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2016-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2016-10-04","sa":"https://sa.vidhyamitra.com/city/chicago/2016-10-04","hi":"https://hi.vidhyamitra.com/city/chicago/2016-10-04","x-default":"https://vidhyamitra.com/city/chicago/2016-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:41:38.114Z","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":"2026-06-01T20:41:38.114Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:41:38.114Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}