{"id":"vidhyamitra:city-day:chicago:2012-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2012-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-12-04","date_display":"December 4, 2012 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":2012,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456265.770833,"kali_year":5114,"ahargana":1867800.2708,"sun":{"sidereal_longitude":227.747,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":111.2159,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4689,"elapsed_within_tithi_degrees":3.4689},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.2159,"elapsed_within_degrees":4.5492},"yoga":{"number":26,"name":"Indra","sum_longitude":338.9629},"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":2012,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456265.770833,"ahargana":1867800.2708,"kali_year":5114,"ayanamsa_lahiri":24.0336,"grahas":{"sun":{"sidereal_longitude":228.25384199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":107.76084200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-4.371},"mars":{"sidereal_longitude":258.753642,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":207.57424200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":46.74094200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":200.65924199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":192.63944200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":214.9532,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.9532,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2012,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456265.770833,"kali_year":5114,"ahargana":1867800.2708,"sun":{"sidereal_longitude":227.747,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":111.2159,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4689,"elapsed_within_tithi_degrees":3.4689},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.2159,"elapsed_within_degrees":4.5492},"yoga":{"number":26,"name":"Indra","sum_longitude":338.9629},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.371,"elongation":116.531},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.371,"opposition_distance":63.469}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-0.609,"elongation":0.833}]},"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":"07:03","sunsetLocal":"16:21","solarNoonLocal":"11:42","dayLengthHours":9.301337966132413,"dayLengthDisplay":"9 Hours 18 Mins 05 Secs","nightLengthDisplay":"14 Hours 41 Mins 55 Secs","moonriseLocal":"20:32","moonsetLocal":"10:48","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:11","startHours":14.017974082631385,"endHours":15.180641328397938,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:22","end":"10:32","startHours":9.36730509956518,"endHours":10.52997234533173,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:42","end":"12:51","startHours":11.692639591098281,"endHours":12.855306836864834,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:31","startHours":9.212282800129639,"endHours":9.52232739900072,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:41","startHours":7.429526356620926,"endHours":7.6775620357177905,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:00","startHours":11.382594992227201,"endHours":12.002684189969361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:25","startHours":5.8017922125477535,"endHours":6.421881410289915,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:03","startHours":6.266859110854375,"endHours":7.041970608032075,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:15","end":"13:52","startHours":13.242862585453684,"endHours":13.862951783195845,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:09","end":"16:33","startHours":16.14330857416449,"endHours":16.543308574164488,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:21","end":"16:44","startHours":16.34330857416449,"endHours":16.73086432275334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:06","end":"17:51","startHours":16.09330857416449,"endHours":17.84330857416449,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:00","startHours":23.3825949922272,"endHours":24.00268418996936,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:03","end":"08:12","startHours":7.041970608032075,"endHours":8.204637853798626,"quality":"inauspicious"},{"name":"Udveg","start":"08:12","end":"09:22","startHours":8.204637853798626,"endHours":9.36730509956518,"quality":"inauspicious"},{"name":"Chala","start":"09:22","end":"10:32","startHours":9.36730509956518,"endHours":10.52997234533173,"quality":"neutral"},{"name":"Labha","start":"10:32","end":"11:42","startHours":10.52997234533173,"endHours":11.692639591098281,"quality":"auspicious"},{"name":"Amṛta","start":"11:42","end":"12:51","startHours":11.692639591098281,"endHours":12.855306836864834,"quality":"auspicious"},{"name":"Kāla","start":"12:51","end":"14:01","startHours":12.855306836864834,"endHours":14.017974082631385,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"15:11","startHours":14.017974082631385,"endHours":15.180641328397938,"quality":"auspicious"},{"name":"Roga","start":"15:11","end":"16:21","startHours":15.180641328397938,"endHours":16.34330857416449,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:21","end":"18:11","startHours":16.34330857416449,"endHours":18.180641328397936,"quality":"inauspicious"},{"name":"Śubha","start":"18:11","end":"20:01","startHours":18.180641328397936,"endHours":20.017974082631387,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"21:51","startHours":20.017974082631387,"endHours":21.855306836864834,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:42","startHours":21.855306836864834,"endHours":23.69263959109828,"quality":"inauspicious"},{"name":"Chala","start":"23:42","end":"01:32","startHours":23.69263959109828,"endHours":25.52997234533173,"quality":"neutral"},{"name":"Labha","start":"01:32","end":"03:22","startHours":25.52997234533173,"endHours":27.36730509956518,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"05:12","startHours":27.36730509956518,"endHours":29.204637853798626,"quality":"auspicious"},{"name":"Kāla","start":"05:12","end":"07:03","startHours":29.204637853798626,"endHours":31.041970608032074,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.041970608032075,"endHours":8.041970608032075,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.041970608032075,"endHours":9.041970608032075,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.041970608032075,"endHours":10.041970608032075,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.041970608032075,"endHours":11.041970608032075,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.041970608032075,"endHours":12.041970608032075,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.041970608032075,"endHours":13.041970608032075,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.041970608032075,"endHours":14.041970608032075,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.041970608032075,"endHours":15.041970608032075,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.041970608032075,"endHours":16.041970608032074,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.041970608032074,"endHours":17.041970608032074,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.041970608032074,"endHours":18.041970608032074,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.041970608032074,"endHours":19.041970608032074,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.041970608032074,"endHours":20.041970608032074,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.041970608032074,"endHours":21.041970608032074,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.041970608032074,"endHours":22.041970608032074,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.041970608032074,"endHours":23.041970608032074,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.041970608032074,"endHours":24.041970608032074,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.041970608032074,"endHours":25.041970608032074,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.041970608032074,"endHours":26.041970608032074,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.041970608032074,"endHours":27.041970608032074,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.041970608032074,"endHours":28.041970608032074,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.041970608032074,"endHours":29.041970608032074,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.041970608032074,"endHours":30.041970608032074,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.041970608032074,"endHours":31.041970608032074,"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":-22.264193432854576,"eotMinutes":8.960824534103129,"ayanamsa":24.0336}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"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 2069 Viśvāvasu · Śaka 1934 Nandana"},"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 4, 2012 CE · Chicago, USA · Vidhyamitra","description":"December 4, 2012 CE for Chicago, USA: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:03, sūryāsta 16:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2012-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2012-12-04","sa":"https://sa.vidhyamitra.com/city/chicago/2012-12-04","hi":"https://hi.vidhyamitra.com/city/chicago/2012-12-04","x-default":"https://vidhyamitra.com/city/chicago/2012-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:04:58.434Z","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":"2026-05-31T15:04:58.434Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:04:58.434Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}