{"id":"vidhyamitra:city-day:chicago:2000-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2000-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-10-13","date_display":"October 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451830.770833,"kali_year":5102,"ahargana":1863365.2708,"sun":{"sidereal_longitude":175.4129,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":350.4577,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.0448,"elapsed_within_tithi_degrees":7.0448},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4577,"elapsed_within_degrees":3.791},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.8706},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451830.770833,"ahargana":1863365.2708,"kali_year":5102,"ayanamsa_lahiri":23.8639,"grahas":{"sun":{"sidereal_longitude":176.15199200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":352.061492,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-4.4384},"mars":{"sidereal_longitude":142.41909199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":200.458892,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":47.02959199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":208.58529199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":36.21629200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":89.9408,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.9408,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2000,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451830.770833,"kali_year":5102,"ahargana":1863365.2708,"sun":{"sidereal_longitude":175.4129,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":350.4577,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.0448,"elapsed_within_tithi_degrees":7.0448},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4577,"elapsed_within_degrees":3.791},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.8706},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.438,"elongation":175.045},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.438,"opposition_distance":4.955}},"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":"06:00","sunsetLocal":"17:12","solarNoonLocal":"11:36","dayLengthHours":11.2079608008736,"dayLengthDisplay":"11 Hours 12 Mins 29 Secs","nightLengthDisplay":"12 Hours 47 Mins 31 Secs","moonriseLocal":"16:54","moonsetLocal":"05:45","rahuKala":{"name":"Rāhu Kāla","start":"10:12","end":"11:36","startHours":10.200284413089545,"endHours":11.601279513198744,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:24","end":"15:48","startHours":14.403269713417144,"endHours":15.804264813526345,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"08:48","startHours":7.398294212871144,"endHours":8.799289312980344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"08:59","startHours":8.612489966299117,"endHours":8.98608865966157,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:46","startHours":6.46429747946501,"endHours":6.763176434154973,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:14","end":"11:58","startHours":11.22768081983629,"endHours":11.974878206561197,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:15","startHours":4.50290433931213,"endHours":5.2501017260370375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:00","startHours":5.06330237935581,"endHours":5.997299112761944,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:28","end":"14:13","startHours":13.46927298001101,"endHours":14.216470366735916,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:00","end":"17:24","startHours":17.005259913635545,"endHours":17.405259913635543,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:12","end":"17:40","startHours":17.205259913635544,"endHours":17.67225828033861,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:57","end":"18:42","startHours":16.955259913635544,"endHours":18.705259913635544,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:14","end":"23:58","startHours":23.22768081983629,"endHours":23.974878206561197,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:00","end":"07:24","startHours":5.997299112761944,"endHours":7.398294212871144,"quality":"neutral"},{"name":"Labha","start":"07:24","end":"08:48","startHours":7.398294212871144,"endHours":8.799289312980344,"quality":"auspicious"},{"name":"Amṛta","start":"08:48","end":"10:12","startHours":8.799289312980344,"endHours":10.200284413089545,"quality":"auspicious"},{"name":"Kāla","start":"10:12","end":"11:36","startHours":10.200284413089545,"endHours":11.601279513198744,"quality":"inauspicious"},{"name":"Śubha","start":"11:36","end":"13:00","startHours":11.601279513198744,"endHours":13.002274613307943,"quality":"auspicious"},{"name":"Roga","start":"13:00","end":"14:24","startHours":13.002274613307943,"endHours":14.403269713417144,"quality":"inauspicious"},{"name":"Udveg","start":"14:24","end":"15:48","startHours":14.403269713417144,"endHours":15.804264813526345,"quality":"inauspicious"},{"name":"Chala","start":"15:48","end":"17:12","startHours":15.804264813526345,"endHours":17.205259913635544,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:12","end":"18:48","startHours":17.205259913635544,"endHours":18.804264813526345,"quality":"inauspicious"},{"name":"Udveg","start":"18:48","end":"20:24","startHours":18.804264813526345,"endHours":20.403269713417146,"quality":"inauspicious"},{"name":"Chala","start":"20:24","end":"22:00","startHours":20.403269713417146,"endHours":22.002274613307943,"quality":"neutral"},{"name":"Labha","start":"22:00","end":"23:36","startHours":22.002274613307943,"endHours":23.601279513198744,"quality":"auspicious"},{"name":"Amṛta","start":"23:36","end":"01:12","startHours":23.601279513198744,"endHours":25.200284413089545,"quality":"auspicious"},{"name":"Kāla","start":"01:12","end":"02:48","startHours":25.200284413089545,"endHours":26.799289312980342,"quality":"inauspicious"},{"name":"Śubha","start":"02:48","end":"04:24","startHours":26.799289312980342,"endHours":28.398294212871143,"quality":"auspicious"},{"name":"Roga","start":"04:24","end":"06:00","startHours":28.398294212871143,"endHours":29.997299112761944,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.997299112761944,"endHours":6.997299112761944,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.997299112761944,"endHours":7.997299112761944,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.997299112761944,"endHours":8.997299112761944,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.997299112761944,"endHours":9.997299112761944,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.997299112761944,"endHours":10.997299112761944,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.997299112761944,"endHours":11.997299112761944,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.997299112761944,"endHours":12.997299112761944,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.997299112761944,"endHours":13.997299112761944,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.997299112761944,"endHours":14.997299112761944,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.997299112761944,"endHours":15.997299112761944,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.997299112761944,"endHours":16.997299112761944,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.997299112761944,"endHours":17.997299112761944,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.997299112761944,"endHours":18.997299112761944,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.997299112761944,"endHours":19.997299112761944,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.997299112761944,"endHours":20.997299112761944,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.997299112761944,"endHours":21.997299112761944,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.997299112761944,"endHours":22.997299112761944,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.997299112761944,"endHours":23.997299112761944,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.997299112761944,"endHours":24.997299112761944,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.997299112761944,"endHours":25.997299112761944,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.997299112761944,"endHours":26.997299112761944,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.997299112761944,"endHours":27.997299112761944,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.997299112761944,"endHours":28.997299112761944,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.997299112761944,"endHours":29.997299112761944,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","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":-7.824324408607638,"eotMinutes":14.442429208075392,"ayanamsa":23.8639}},"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 Pūrṇimā · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 13, 2000 CE · Chicago, USA · Vidhyamitra","description":"October 13, 2000 CE for Chicago, USA: Śukla Pūrṇimā, sūryodaya 06:00, sūryāsta 17:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2000-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2000-10-13","sa":"https://sa.vidhyamitra.com/city/chicago/2000-10-13","hi":"https://hi.vidhyamitra.com/city/chicago/2000-10-13","x-default":"https://vidhyamitra.com/city/chicago/2000-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:25:55.491Z","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":"2026-05-31T16:25:55.491Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:25:55.491Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}