{"id":"vidhyamitra:city-day:seattle:2045-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/seattle/2045-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-01","date_display":"August 1, 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":"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":2045,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468193.770833,"kali_year":5147,"ahargana":1879728.2708,"sun":{"sidereal_longitude":104.0942,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":321.3518,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.2576,"elapsed_within_tithi_degrees":1.2576},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.3518,"elapsed_within_degrees":1.3518},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.446},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2045,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468193.770833,"ahargana":1879728.2708,"kali_year":5147,"ayanamsa_lahiri":24.4898,"grahas":{"sun":{"sidereal_longitude":104.73870499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":318.52860499999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":1.4192},"mars":{"sidereal_longitude":80.45320500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":95.88390500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":316.441005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":138.61190499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":219.803805,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":302.9503,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.9503,"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":"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":2045,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468193.770833,"kali_year":5147,"ahargana":1879728.2708,"sun":{"sidereal_longitude":104.0942,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":321.3518,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.2576,"elapsed_within_tithi_degrees":1.2576},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.3518,"elapsed_within_degrees":1.3518},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.446},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.419,"elongation":142.742},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.419,"opposition_distance":37.258}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"city":{"slug":"seattle","name":"Seattle, USA","lat":47.6062,"lon":-122.3321,"tz_offset_hours":-8,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"seattle","name":"Seattle, USA","lat":47.6062,"lon":-122.3321,"tz_offset_hours":-8,"country":"US","tier":"diaspora"},"sunriseLocal":"04:47","sunsetLocal":"19:44","solarNoonLocal":"12:15","dayLengthHours":14.956381812734442,"dayLengthDisplay":"14 Hours 57 Mins 23 Secs","nightLengthDisplay":"9 Hours 02 Mins 37 Secs","moonriseLocal":"20:56","moonsetLocal":"08:05","rahuKala":{"name":"Rāhu Kāla","start":"16:00","end":"17:52","startHours":15.99486328429545,"endHours":17.864411010887256,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:31","end":"10:23","startHours":8.516672377928229,"endHours":10.386220104520035,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"14:08","startHours":12.25576783111184,"endHours":14.125315557703644,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:46","startHours":8.267399347715989,"endHours":8.76594540814047,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:24","end":"05:48","startHours":5.40075950027522,"endHours":5.799596348614806,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:45","startHours":11.757221770687359,"endHours":12.75431389153632,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:47","end":"03:47","startHours":2.783392683046693,"endHours":3.7804848038956558,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:32","end":"04:47","startHours":3.531211773683415,"endHours":4.7775769247446185,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:45","end":"15:45","startHours":14.748498133234246,"endHours":15.74559025408321,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:32","end":"19:56","startHours":19.53395873747906,"endHours":19.93395873747906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:44","end":"20:21","startHours":19.73395873747906,"endHours":20.357141313009663,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:29","end":"21:14","startHours":19.48395873747906,"endHours":21.23395873747906,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:45","startHours":23.75722177068736,"endHours":24.75431389153632,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:47","end":"06:39","startHours":4.7775769247446185,"endHours":6.647124651336424,"quality":"inauspicious"},{"name":"Udveg","start":"06:39","end":"08:31","startHours":6.647124651336424,"endHours":8.516672377928229,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"10:23","startHours":8.516672377928229,"endHours":10.386220104520035,"quality":"neutral"},{"name":"Labha","start":"10:23","end":"12:15","startHours":10.386220104520035,"endHours":12.25576783111184,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"14:08","startHours":12.25576783111184,"endHours":14.125315557703644,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"16:00","startHours":14.125315557703644,"endHours":15.99486328429545,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:52","startHours":15.99486328429545,"endHours":17.864411010887256,"quality":"auspicious"},{"name":"Roga","start":"17:52","end":"19:44","startHours":17.864411010887256,"endHours":19.73395873747906,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:44","end":"20:52","startHours":19.73395873747906,"endHours":20.864411010887256,"quality":"inauspicious"},{"name":"Śubha","start":"20:52","end":"22:00","startHours":20.864411010887256,"endHours":21.994863284295448,"quality":"auspicious"},{"name":"Roga","start":"22:00","end":"23:08","startHours":21.994863284295448,"endHours":23.125315557703644,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:15","startHours":23.125315557703644,"endHours":24.25576783111184,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:23","startHours":24.25576783111184,"endHours":25.386220104520035,"quality":"neutral"},{"name":"Labha","start":"01:23","end":"02:31","startHours":25.386220104520035,"endHours":26.51667237792823,"quality":"auspicious"},{"name":"Amṛta","start":"02:31","end":"03:39","startHours":26.51667237792823,"endHours":27.647124651336423,"quality":"auspicious"},{"name":"Kāla","start":"03:39","end":"04:47","startHours":27.647124651336423,"endHours":28.77757692474462,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:47","end":"05:47","startHours":4.7775769247446185,"endHours":5.7775769247446185,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:47","end":"06:47","startHours":5.7775769247446185,"endHours":6.7775769247446185,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:47","end":"07:47","startHours":6.7775769247446185,"endHours":7.7775769247446185,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:47","end":"08:47","startHours":7.7775769247446185,"endHours":8.777576924744618,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:47","end":"09:47","startHours":8.777576924744618,"endHours":9.777576924744618,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:47","end":"10:47","startHours":9.777576924744618,"endHours":10.777576924744618,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:47","end":"11:47","startHours":10.777576924744618,"endHours":11.777576924744618,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:47","end":"12:47","startHours":11.777576924744618,"endHours":12.777576924744618,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:47","end":"13:47","startHours":12.777576924744618,"endHours":13.777576924744618,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:47","end":"14:47","startHours":13.777576924744618,"endHours":14.777576924744618,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:47","end":"15:47","startHours":14.777576924744618,"endHours":15.777576924744618,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:47","end":"16:47","startHours":15.777576924744618,"endHours":16.77757692474462,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:47","end":"17:47","startHours":16.77757692474462,"endHours":17.77757692474462,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:47","end":"18:47","startHours":17.77757692474462,"endHours":18.77757692474462,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:47","end":"19:47","startHours":18.77757692474462,"endHours":19.77757692474462,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:47","end":"20:47","startHours":19.77757692474462,"endHours":20.77757692474462,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:47","end":"21:47","startHours":20.77757692474462,"endHours":21.77757692474462,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:47","end":"22:47","startHours":21.77757692474462,"endHours":22.77757692474462,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:47","end":"23:47","startHours":22.77757692474462,"endHours":23.77757692474462,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:47","end":"00:47","startHours":23.77757692474462,"endHours":24.77757692474462,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:47","end":"01:47","startHours":24.77757692474462,"endHours":25.77757692474462,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:47","end":"02:47","startHours":25.77757692474462,"endHours":26.77757692474462,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:47","end":"03:47","startHours":26.77757692474462,"endHours":27.77757692474462,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:47","end":"04:47","startHours":27.77757692474462,"endHours":28.77757692474462,"planetary_lord":"Saturn"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.944492589543646,"eotMinutes":-6.017669866710306,"ayanamsa":24.4898}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"seattle"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 1, 2045 CE · Seattle, USA · Vidhyamitra","description":"August 1, 2045 CE for Seattle, USA: Kṛṣṇa Caturthī, sūryodaya 04:47, sūryāsta 19:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/seattle/2045-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/seattle/2045-08-01","sa":"https://sa.vidhyamitra.com/city/seattle/2045-08-01","hi":"https://hi.vidhyamitra.com/city/seattle/2045-08-01","x-default":"https://vidhyamitra.com/city/seattle/2045-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:19:15.025Z","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":"2026-06-01T02:19:15.025Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:19:15.025Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}