{"id":"vidhyamitra:city-day:chicago:2045-09-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2045-09-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-03","date_display":"September 3, 2045 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468226.770833,"kali_year":5147,"ahargana":1879761.2708,"sun":{"sidereal_longitude":135.674,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":32.4471,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.7731,"elapsed_within_tithi_degrees":4.7731},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.4471,"elapsed_within_degrees":5.7805},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.1211},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2045,"month":9,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468226.770833,"ahargana":1879761.2708,"kali_year":5147,"ayanamsa_lahiri":24.491,"grahas":{"sun":{"sidereal_longitude":136.477444,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":29.59784400000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":4.4989},"mars":{"sidereal_longitude":101.85054400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":130.26304400000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":312.4730440000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":177.27844400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":220.28234399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.2018,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.2018,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468226.770833,"kali_year":5147,"ahargana":1879761.2708,"sun":{"sidereal_longitude":135.674,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":32.4471,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.7731,"elapsed_within_tithi_degrees":4.7731},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.4471,"elapsed_within_degrees":5.7805},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.1211},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":103.227},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":76.773}},"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":"05:18","sunsetLocal":"18:21","solarNoonLocal":"11:49","dayLengthHours":13.049616350458486,"dayLengthDisplay":"13 Hours 02 Mins 59 Secs","nightLengthDisplay":"10 Hours 57 Mins 01 Secs","moonriseLocal":"21:27","moonsetLocal":"11:56","rahuKala":{"name":"Rāhu Kāla","start":"16:43","end":"18:21","startHours":16.716384729745993,"endHours":18.347586773553303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:49","end":"13:27","startHours":11.82277859832406,"endHours":13.45398064213137,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:05","end":"16:43","startHours":15.085182685938682,"endHours":16.716384729745993,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:47","startHours":8.342880904868464,"endHours":8.777868116550414,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:11","startHours":5.8417044376972544,"endHours":6.189694207042814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:15","startHours":11.38779138664211,"endHours":12.25776581000601,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:26","startHours":3.558021576367019,"endHours":4.427995999730918,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:13","end":"05:18","startHours":4.210502393889943,"endHours":5.297970423094817,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:52","startHours":13.997714656733809,"endHours":14.867689080097708,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.147586773553304,"endHours":18.547586773553302,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:53","startHours":18.347586773553303,"endHours":18.89132078815574,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.097586773553303,"endHours":19.847586773553303,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:15","startHours":23.38779138664211,"endHours":24.25776581000601,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:18","end":"06:56","startHours":5.297970423094817,"endHours":6.929172466902128,"quality":"inauspicious"},{"name":"Chala","start":"06:56","end":"08:34","startHours":6.929172466902128,"endHours":8.560374510709439,"quality":"neutral"},{"name":"Labha","start":"08:34","end":"10:11","startHours":8.560374510709439,"endHours":10.19157655451675,"quality":"auspicious"},{"name":"Amṛta","start":"10:11","end":"11:49","startHours":10.19157655451675,"endHours":11.82277859832406,"quality":"auspicious"},{"name":"Kāla","start":"11:49","end":"13:27","startHours":11.82277859832406,"endHours":13.45398064213137,"quality":"inauspicious"},{"name":"Śubha","start":"13:27","end":"15:05","startHours":13.45398064213137,"endHours":15.085182685938682,"quality":"auspicious"},{"name":"Roga","start":"15:05","end":"16:43","startHours":15.085182685938682,"endHours":16.716384729745993,"quality":"inauspicious"},{"name":"Udveg","start":"16:43","end":"18:21","startHours":16.716384729745993,"endHours":18.347586773553303,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:21","end":"19:43","startHours":18.347586773553303,"endHours":19.716384729745993,"quality":"auspicious"},{"name":"Roga","start":"19:43","end":"21:05","startHours":19.716384729745993,"endHours":21.085182685938683,"quality":"inauspicious"},{"name":"Udveg","start":"21:05","end":"22:27","startHours":21.085182685938683,"endHours":22.45398064213137,"quality":"inauspicious"},{"name":"Chala","start":"22:27","end":"23:49","startHours":22.45398064213137,"endHours":23.82277859832406,"quality":"neutral"},{"name":"Labha","start":"23:49","end":"01:11","startHours":23.82277859832406,"endHours":25.19157655451675,"quality":"auspicious"},{"name":"Amṛta","start":"01:11","end":"02:34","startHours":25.19157655451675,"endHours":26.560374510709437,"quality":"auspicious"},{"name":"Kāla","start":"02:34","end":"03:56","startHours":26.560374510709437,"endHours":27.929172466902127,"quality":"inauspicious"},{"name":"Śubha","start":"03:56","end":"05:18","startHours":27.929172466902127,"endHours":29.297970423094817,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.297970423094817,"endHours":6.297970423094817,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.297970423094817,"endHours":7.297970423094817,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.297970423094817,"endHours":8.297970423094817,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.297970423094817,"endHours":9.297970423094817,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.297970423094817,"endHours":10.297970423094817,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.297970423094817,"endHours":11.297970423094817,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.297970423094817,"endHours":12.297970423094817,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.297970423094817,"endHours":13.297970423094817,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.297970423094817,"endHours":14.297970423094817,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.297970423094817,"endHours":15.297970423094817,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.297970423094817,"endHours":16.297970423094817,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.297970423094817,"endHours":17.297970423094817,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.297970423094817,"endHours":18.297970423094817,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.297970423094817,"endHours":19.297970423094817,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.297970423094817,"endHours":20.297970423094817,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.297970423094817,"endHours":21.297970423094817,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.297970423094817,"endHours":22.297970423094817,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.297970423094817,"endHours":23.297970423094817,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.297970423094817,"endHours":24.297970423094817,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.297970423094817,"endHours":25.297970423094817,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.297970423094817,"endHours":26.297970423094817,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.297970423094817,"endHours":27.297970423094817,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.297970423094817,"endHours":28.297970423094817,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.297970423094817,"endHours":29.297970423094817,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.452032781897158,"eotMinutes":1.1524841005564963,"ayanamsa":24.491}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 September 3, 2045 CE · Chicago, USA · Vidhyamitra","description":"September 3, 2045 CE for Chicago, USA: Kṛṣṇa Saptamī, sūryodaya 05:18, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2045-09-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2045-09-03","sa":"https://sa.vidhyamitra.com/city/chicago/2045-09-03","hi":"https://hi.vidhyamitra.com/city/chicago/2045-09-03","x-default":"https://vidhyamitra.com/city/chicago/2045-09-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:35:02.381Z","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":"2026-09-06T11:35:02.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:35:02.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}