{"id":"vidhyamitra:city-day:chicago:2000-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2000-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-10-04","date_display":"October 4, 2000 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":2000,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451821.770833,"kali_year":5102,"ahargana":1863356.2708,"sun":{"sidereal_longitude":166.5171,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.7042,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.1872,"elapsed_within_tithi_degrees":3.1872},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.7042,"elapsed_within_degrees":1.7042},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.2213},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2000,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451821.770833,"ahargana":1863356.2708,"kali_year":5102,"ayanamsa_lahiri":23.8636,"grahas":{"sun":{"sidereal_longitude":167.26453600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":241.81933600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":2.1602},"mars":{"sidereal_longitude":136.794036,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":192.612436,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":47.30103600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":197.625136,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":36.62553600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":90.4177,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":270.4177,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2000,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451821.770833,"kali_year":5102,"ahargana":1863356.2708,"sun":{"sidereal_longitude":166.5171,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.7042,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.1872,"elapsed_within_tithi_degrees":3.1872},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.7042,"elapsed_within_degrees":1.7042},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.2213},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.16,"elongation":75.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.16,"opposition_distance":104.813}},"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":"05:50","sunsetLocal":"17:27","solarNoonLocal":"11:38","dayLengthHours":11.622123980647636,"dayLengthDisplay":"11 Hours 37 Mins 20 Secs","nightLengthDisplay":"12 Hours 22 Mins 40 Secs","moonriseLocal":"12:04","moonsetLocal":"21:09","rahuKala":{"name":"Rāhu Kāla","start":"11:38","end":"13:06","startHours":11.640368946871831,"endHours":13.093134444452787,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:17","end":"08:44","startHours":7.282072454128968,"endHours":8.734837951709922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:11","end":"11:38","startHours":10.187603449290876,"endHours":11.640368946871831,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:56","startHours":8.541135885365794,"endHours":8.928540018054049,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:37","startHours":6.313562122408332,"endHours":6.6234854285589355,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:15","end":"12:02","startHours":11.252964814183576,"endHours":12.027773079560086,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:03","startHours":4.279690425794995,"endHours":5.054498691171504,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:50","startHours":4.860796624827377,"endHours":5.829306956548013,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:21","startHours":13.577389610313103,"endHours":14.352197875689612,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25143093719565,"endHours":17.65143093719565,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:56","startHours":17.45143093719565,"endHours":17.935686103055968,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.20143093719565,"endHours":18.95143093719565,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:15","end":"00:02","startHours":23.252964814183578,"endHours":24.027773079560085,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:50","end":"07:17","startHours":5.829306956548013,"endHours":7.282072454128968,"quality":"auspicious"},{"name":"Amṛta","start":"07:17","end":"08:44","startHours":7.282072454128968,"endHours":8.734837951709922,"quality":"auspicious"},{"name":"Kāla","start":"08:44","end":"10:11","startHours":8.734837951709922,"endHours":10.187603449290876,"quality":"inauspicious"},{"name":"Śubha","start":"10:11","end":"11:38","startHours":10.187603449290876,"endHours":11.640368946871831,"quality":"auspicious"},{"name":"Roga","start":"11:38","end":"13:06","startHours":11.640368946871831,"endHours":13.093134444452787,"quality":"inauspicious"},{"name":"Udveg","start":"13:06","end":"14:33","startHours":13.093134444452787,"endHours":14.54589994203374,"quality":"inauspicious"},{"name":"Chala","start":"14:33","end":"16:00","startHours":14.54589994203374,"endHours":15.998665439614694,"quality":"neutral"},{"name":"Labha","start":"16:00","end":"17:27","startHours":15.998665439614694,"endHours":17.45143093719565,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:27","end":"19:00","startHours":17.45143093719565,"endHours":18.998665439614694,"quality":"inauspicious"},{"name":"Chala","start":"19:00","end":"20:33","startHours":18.998665439614694,"endHours":20.545899942033742,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"22:06","startHours":20.545899942033742,"endHours":22.093134444452787,"quality":"auspicious"},{"name":"Amṛta","start":"22:06","end":"23:38","startHours":22.093134444452787,"endHours":23.64036894687183,"quality":"auspicious"},{"name":"Kāla","start":"23:38","end":"01:11","startHours":23.64036894687183,"endHours":25.187603449290876,"quality":"inauspicious"},{"name":"Śubha","start":"01:11","end":"02:44","startHours":25.187603449290876,"endHours":26.73483795170992,"quality":"auspicious"},{"name":"Roga","start":"02:44","end":"04:17","startHours":26.73483795170992,"endHours":28.28207245412897,"quality":"inauspicious"},{"name":"Udveg","start":"04:17","end":"05:50","startHours":28.28207245412897,"endHours":29.829306956548013,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.829306956548013,"endHours":6.829306956548013,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.829306956548013,"endHours":7.829306956548013,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.829306956548013,"endHours":8.829306956548013,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.829306956548013,"endHours":9.829306956548013,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.829306956548013,"endHours":10.829306956548013,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.829306956548013,"endHours":11.829306956548013,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.829306956548013,"endHours":12.829306956548013,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.829306956548013,"endHours":13.829306956548013,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.829306956548013,"endHours":14.829306956548013,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.829306956548013,"endHours":15.829306956548013,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.829306956548013,"endHours":16.829306956548013,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.829306956548013,"endHours":17.829306956548013,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.829306956548013,"endHours":18.829306956548013,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.829306956548013,"endHours":19.829306956548013,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.829306956548013,"endHours":20.829306956548013,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.829306956548013,"endHours":21.829306956548013,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.829306956548013,"endHours":22.829306956548013,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.829306956548013,"endHours":23.829306956548013,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.829306956548013,"endHours":24.829306956548013,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.829306956548013,"endHours":25.829306956548013,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.829306956548013,"endHours":26.829306956548013,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.829306956548013,"endHours":27.829306956548013,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.829306956548013,"endHours":28.829306956548013,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.829306956548013,"endHours":29.829306956548013,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.402577732759281,"eotMinutes":12.09706318769023,"ayanamsa":23.8636}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"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 Saptamī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 October 4, 2000 CE · Chicago, USA · Vidhyamitra","description":"October 4, 2000 CE for Chicago, USA: Śukla Saptamī, sūryodaya 05:50, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2000-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2000-10-04","sa":"https://sa.vidhyamitra.com/city/chicago/2000-10-04","hi":"https://hi.vidhyamitra.com/city/chicago/2000-10-04","x-default":"https://vidhyamitra.com/city/chicago/2000-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:27:17.075Z","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":"2026-05-31T14:27:17.075Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:27:17.075Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}