{"id":"vidhyamitra:city-day:chicago:2015-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2015-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-01","date_display":"December 1, 2015 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":2015,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457357.770833,"kali_year":5117,"ahargana":1868892.2708,"sun":{"sidereal_longitude":223.8886,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.8383,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.9497,"elapsed_within_tithi_degrees":3.9497},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.8383,"elapsed_within_degrees":1.1717},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.727},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2015,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457357.770833,"ahargana":1868892.2708,"kali_year":5117,"ayanamsa_lahiri":24.0753,"grahas":{"sun":{"sidereal_longitude":224.43182000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":108.94051999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-3.4078},"mars":{"sidereal_longitude":166.50851999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":231.66311999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":146.21042,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":180.89832,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":223.27351999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":157.0938,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":337.0938,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457357.770833,"kali_year":5117,"ahargana":1868892.2708,"sun":{"sidereal_longitude":223.8886,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.8383,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.9497,"elapsed_within_tithi_degrees":3.9497},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.8383,"elapsed_within_degrees":1.1717},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.727},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.408,"elongation":116.05},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.408,"opposition_distance":63.95}},"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":"06:59","sunsetLocal":"16:22","solarNoonLocal":"11:40","dayLengthHours":9.381133818443736,"dayLengthDisplay":"9 Hours 22 Mins 52 Secs","nightLengthDisplay":"14 Hours 37 Mins 08 Secs","moonriseLocal":"20:52","moonsetLocal":"11:05","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:11","startHours":14.018419277937594,"endHours":15.19106100524306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:20","end":"10:30","startHours":9.327852368715726,"endHours":10.500494096021193,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:40","end":"12:51","startHours":11.67313582332666,"endHours":12.845777550632128,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:29","startHours":9.17150013840833,"endHours":9.484204599023123,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:37","startHours":7.373449489873281,"endHours":7.623613058365114,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"11:59","startHours":11.36043136271187,"endHours":11.985840283941451,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:21","startHours":5.731751071645627,"endHours":6.35715999287521,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"06:59","startHours":6.200807762567814,"endHours":6.982568914104792,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:14","end":"13:52","startHours":13.236658126400616,"endHours":13.862067047630198,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:10","end":"16:34","startHours":16.16370273254853,"endHours":16.563702732548528,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:22","end":"16:45","startHours":16.36370273254853,"endHours":16.754583308317017,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:07","end":"17:52","startHours":16.11370273254853,"endHours":17.86370273254853,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"23:59","startHours":23.360431362711868,"endHours":23.985840283941453,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:59","end":"08:09","startHours":6.982568914104792,"endHours":8.15521064141026,"quality":"inauspicious"},{"name":"Udveg","start":"08:09","end":"09:20","startHours":8.15521064141026,"endHours":9.327852368715726,"quality":"inauspicious"},{"name":"Chala","start":"09:20","end":"10:30","startHours":9.327852368715726,"endHours":10.500494096021193,"quality":"neutral"},{"name":"Labha","start":"10:30","end":"11:40","startHours":10.500494096021193,"endHours":11.67313582332666,"quality":"auspicious"},{"name":"Amṛta","start":"11:40","end":"12:51","startHours":11.67313582332666,"endHours":12.845777550632128,"quality":"auspicious"},{"name":"Kāla","start":"12:51","end":"14:01","startHours":12.845777550632128,"endHours":14.018419277937594,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"15:11","startHours":14.018419277937594,"endHours":15.19106100524306,"quality":"auspicious"},{"name":"Roga","start":"15:11","end":"16:22","startHours":15.19106100524306,"endHours":16.36370273254853,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:22","end":"18:11","startHours":16.36370273254853,"endHours":18.19106100524306,"quality":"inauspicious"},{"name":"Śubha","start":"18:11","end":"20:01","startHours":18.19106100524306,"endHours":20.018419277937596,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"21:51","startHours":20.018419277937596,"endHours":21.84577755063213,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:40","startHours":21.84577755063213,"endHours":23.67313582332666,"quality":"inauspicious"},{"name":"Chala","start":"23:40","end":"01:30","startHours":23.67313582332666,"endHours":25.500494096021193,"quality":"neutral"},{"name":"Labha","start":"01:30","end":"03:20","startHours":25.500494096021193,"endHours":27.327852368715725,"quality":"auspicious"},{"name":"Amṛta","start":"03:20","end":"05:09","startHours":27.327852368715725,"endHours":29.15521064141026,"quality":"auspicious"},{"name":"Kāla","start":"05:09","end":"06:59","startHours":29.15521064141026,"endHours":30.982568914104792,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.982568914104792,"endHours":7.982568914104792,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.982568914104792,"endHours":8.982568914104792,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.982568914104792,"endHours":9.982568914104792,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.982568914104792,"endHours":10.982568914104792,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.982568914104792,"endHours":11.982568914104792,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.982568914104792,"endHours":12.982568914104792,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.982568914104792,"endHours":13.982568914104792,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.982568914104792,"endHours":14.982568914104792,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.982568914104792,"endHours":15.982568914104792,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.982568914104792,"endHours":16.982568914104792,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.982568914104792,"endHours":17.982568914104792,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.982568914104792,"endHours":18.982568914104792,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.982568914104792,"endHours":19.982568914104792,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.982568914104792,"endHours":20.982568914104792,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.982568914104792,"endHours":21.982568914104792,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.982568914104792,"endHours":22.982568914104792,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.982568914104792,"endHours":23.982568914104792,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.982568914104792,"endHours":24.982568914104792,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.982568914104792,"endHours":25.982568914104792,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.982568914104792,"endHours":26.982568914104792,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.982568914104792,"endHours":27.982568914104792,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.982568914104792,"endHours":28.982568914104792,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.982568914104792,"endHours":29.982568914104792,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.982568914104792,"endHours":30.982568914104792,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.72026628410749,"eotMinutes":10.131050600400467,"ayanamsa":24.0753}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[],"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":[]},"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 December 1, 2015 CE · Chicago, USA · Vidhyamitra","description":"December 1, 2015 CE for Chicago, USA: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:59, sūryāsta 16:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2015-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2015-12-01","sa":"https://sa.vidhyamitra.com/city/chicago/2015-12-01","hi":"https://hi.vidhyamitra.com/city/chicago/2015-12-01","x-default":"https://vidhyamitra.com/city/chicago/2015-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:55:19.266Z","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":"2026-06-01T18:55:19.266Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:55:19.266Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}