{"id":"vidhyamitra:city-day:chicago:2026-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/chicago/2026-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-05-21","date_display":"May 21, 2026 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":2026,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461181.770833,"kali_year":5128,"ahargana":1872716.2708,"sun":{"sidereal_longitude":35.6923,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":91.4347,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.7424,"elapsed_within_tithi_degrees":7.7424},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.4347,"elapsed_within_degrees":11.4347},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.1269},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2026,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461181.770833,"ahargana":1872716.2708,"kali_year":5128,"ayanamsa_lahiri":24.2216,"grahas":{"sun":{"sidereal_longitude":35.806314999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":94.71991500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.0699},"mars":{"sidereal_longitude":6.96661499999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":43.17121500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":87.67271500000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":67.81311500000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":347.104015,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":314.4798,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.4798,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2026,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461181.770833,"kali_year":5128,"ahargana":1872716.2708,"sun":{"sidereal_longitude":35.6923,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":91.4347,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.7424,"elapsed_within_tithi_degrees":7.7424},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.4347,"elapsed_within_degrees":11.4347},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.1269},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.07,"elongation":55.742},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.07,"opposition_distance":124.258}},"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":"04:25","sunsetLocal":"19:09","solarNoonLocal":"11:47","dayLengthHours":14.730419417140418,"dayLengthDisplay":"14 Hours 43 Mins 50 Secs","nightLengthDisplay":"9 Hours 16 Mins 10 Secs","moonriseLocal":"08:21","moonsetLocal":"23:04","rahuKala":{"name":"Rāhu Kāla","start":"13:37","end":"15:28","startHours":13.624298797434584,"endHours":15.465601224577137,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:25","end":"06:16","startHours":4.4177866617218235,"endHours":6.259089088864376,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:06","end":"09:57","startHours":8.100391516006928,"endHours":9.941693943149481,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:51","end":"08:21","startHours":7.854884525721254,"endHours":8.345898506292603,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:02","end":"05:25","startHours":5.031554137436007,"endHours":5.424365321893085,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:16","startHours":11.291982389720685,"endHours":12.27401035086338,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:27","end":"03:26","startHours":2.4537307394364345,"endHours":3.435758700579129,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:11","end":"04:25","startHours":3.190251710293455,"endHours":4.4177866617218235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:13","startHours":14.23806627314877,"endHours":15.220094234291464,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.948206078862242,"endHours":19.34820607886224,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:46","startHours":19.14820607886224,"endHours":19.761973554576425,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.89820607886224,"endHours":20.64820607886224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:16","startHours":23.291982389720687,"endHours":24.274010350863378,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:25","end":"06:16","startHours":4.4177866617218235,"endHours":6.259089088864376,"quality":"auspicious"},{"name":"Roga","start":"06:16","end":"08:06","startHours":6.259089088864376,"endHours":8.100391516006928,"quality":"inauspicious"},{"name":"Udveg","start":"08:06","end":"09:57","startHours":8.100391516006928,"endHours":9.941693943149481,"quality":"inauspicious"},{"name":"Chala","start":"09:57","end":"11:47","startHours":9.941693943149481,"endHours":11.782996370292032,"quality":"neutral"},{"name":"Labha","start":"11:47","end":"13:37","startHours":11.782996370292032,"endHours":13.624298797434584,"quality":"auspicious"},{"name":"Amṛta","start":"13:37","end":"15:28","startHours":13.624298797434584,"endHours":15.465601224577137,"quality":"auspicious"},{"name":"Kāla","start":"15:28","end":"17:18","startHours":15.465601224577137,"endHours":17.30690365171969,"quality":"inauspicious"},{"name":"Śubha","start":"17:18","end":"19:09","startHours":17.30690365171969,"endHours":19.14820607886224,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:18","startHours":19.14820607886224,"endHours":20.30690365171969,"quality":"auspicious"},{"name":"Kāla","start":"20:18","end":"21:28","startHours":20.30690365171969,"endHours":21.465601224577135,"quality":"inauspicious"},{"name":"Śubha","start":"21:28","end":"22:37","startHours":21.465601224577135,"endHours":22.624298797434584,"quality":"auspicious"},{"name":"Roga","start":"22:37","end":"23:47","startHours":22.624298797434584,"endHours":23.782996370292032,"quality":"inauspicious"},{"name":"Udveg","start":"23:47","end":"00:57","startHours":23.782996370292032,"endHours":24.94169394314948,"quality":"inauspicious"},{"name":"Chala","start":"00:57","end":"02:06","startHours":24.94169394314948,"endHours":26.10039151600693,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:16","startHours":26.10039151600693,"endHours":27.259089088864375,"quality":"auspicious"},{"name":"Amṛta","start":"03:16","end":"04:25","startHours":27.259089088864375,"endHours":28.417786661721824,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:25","end":"05:25","startHours":4.4177866617218235,"endHours":5.4177866617218235,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:25","end":"06:25","startHours":5.4177866617218235,"endHours":6.4177866617218235,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:25","end":"07:25","startHours":6.4177866617218235,"endHours":7.4177866617218235,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:25","end":"08:25","startHours":7.4177866617218235,"endHours":8.417786661721824,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:25","end":"09:25","startHours":8.417786661721824,"endHours":9.417786661721824,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:25","end":"10:25","startHours":9.417786661721824,"endHours":10.417786661721824,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:25","end":"11:25","startHours":10.417786661721824,"endHours":11.417786661721824,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:25","end":"12:25","startHours":11.417786661721824,"endHours":12.417786661721824,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:25","end":"13:25","startHours":12.417786661721824,"endHours":13.417786661721824,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:25","end":"14:25","startHours":13.417786661721824,"endHours":14.417786661721824,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:25","end":"15:25","startHours":14.417786661721824,"endHours":15.417786661721824,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:25","end":"16:25","startHours":15.417786661721824,"endHours":16.417786661721824,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:25","end":"17:25","startHours":16.417786661721824,"endHours":17.417786661721824,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:25","end":"18:25","startHours":17.417786661721824,"endHours":18.417786661721824,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:25","end":"19:25","startHours":18.417786661721824,"endHours":19.417786661721824,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:25","end":"20:25","startHours":19.417786661721824,"endHours":20.417786661721824,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:25","end":"21:25","startHours":20.417786661721824,"endHours":21.417786661721824,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:25","end":"22:25","startHours":21.417786661721824,"endHours":22.417786661721824,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:25","end":"23:25","startHours":22.417786661721824,"endHours":23.417786661721824,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:25","end":"00:25","startHours":23.417786661721824,"endHours":24.417786661721824,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:25","end":"01:25","startHours":24.417786661721824,"endHours":25.417786661721824,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:25","end":"02:25","startHours":25.417786661721824,"endHours":26.417786661721824,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:25","end":"03:25","startHours":26.417786661721824,"endHours":27.417786661721824,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:25","end":"04:25","startHours":27.417786661721824,"endHours":28.417786661721824,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.153917388416694,"eotMinutes":3.539417782478063,"ayanamsa":24.2216}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Śukla Pañcamī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 May 21, 2026 CE · Chicago, USA · Vidhyamitra","description":"May 21, 2026 CE for Chicago, USA: Śukla Pañcamī, sūryodaya 04:25, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/chicago/2026-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/chicago/2026-05-21","sa":"https://sa.vidhyamitra.com/city/chicago/2026-05-21","hi":"https://hi.vidhyamitra.com/city/chicago/2026-05-21","x-default":"https://vidhyamitra.com/city/chicago/2026-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-24T20:38:50.176Z","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":"2026-07-24T20:38:50.176Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-24T20:38:50.176Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}