{"id":"vidhyamitra:city-day:jaipur:2045-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/jaipur/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":"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":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":"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":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":"jaipur","name":"Jaipur, Rajasthan","lat":26.9124,"lon":75.7873,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"mega","elevation_m":431},"tier2":{"city":{"slug":"jaipur","name":"Jaipur, Rajasthan","lat":26.9124,"lon":75.7873,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"mega","elevation_m":431},"sunriseLocal":"05:51","sunsetLocal":"19:15","solarNoonLocal":"12:33","dayLengthHours":13.394468459656643,"dayLengthDisplay":"13 Hours 23 Mins 40 Secs","nightLengthDisplay":"10 Hours 36 Mins 20 Secs","moonriseLocal":"20:59","moonsetLocal":"08:37","rahuKala":{"name":"Rāhu Kāla","start":"15:54","end":"17:34","startHours":15.896424946025999,"endHours":17.57073350348308,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:52","startHours":9.199190716197677,"endHours":10.873499273654758,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:33","end":"14:13","startHours":12.54780783111184,"endHours":14.22211638856892,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:25","startHours":8.975949575203401,"endHours":9.422431857191956,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.4086764537692105,"endHours":6.7658622793600545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"13:00","startHours":12.101325549123285,"endHours":12.994290113100394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.064644473329298,"endHours":4.9576090373064075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:51","startHours":4.73436789631213,"endHours":5.850573601283517,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:40","startHours":14.780219241054613,"endHours":15.673183805031723,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.045042060940162,"endHours":19.44504206094016,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:48","startHours":19.24504206094016,"endHours":19.803144913425854,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.99504206094016,"endHours":20.74504206094016,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"01:00","startHours":24.101325549123285,"endHours":24.994290113100394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:51","end":"07:31","startHours":5.850573601283517,"endHours":7.524882158740597,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:12","startHours":7.524882158740597,"endHours":9.199190716197677,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:52","startHours":9.199190716197677,"endHours":10.873499273654758,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:33","startHours":10.873499273654758,"endHours":12.54780783111184,"quality":"auspicious"},{"name":"Amṛta","start":"12:33","end":"14:13","startHours":12.54780783111184,"endHours":14.22211638856892,"quality":"auspicious"},{"name":"Kāla","start":"14:13","end":"15:54","startHours":14.22211638856892,"endHours":15.896424946025999,"quality":"inauspicious"},{"name":"Śubha","start":"15:54","end":"17:34","startHours":15.896424946025999,"endHours":17.57073350348308,"quality":"auspicious"},{"name":"Roga","start":"17:34","end":"19:15","startHours":17.57073350348308,"endHours":19.24504206094016,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:15","end":"20:34","startHours":19.24504206094016,"endHours":20.57073350348308,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"21:54","startHours":20.57073350348308,"endHours":21.896424946026002,"quality":"auspicious"},{"name":"Roga","start":"21:54","end":"23:13","startHours":21.896424946026002,"endHours":23.22211638856892,"quality":"inauspicious"},{"name":"Udveg","start":"23:13","end":"00:33","startHours":23.22211638856892,"endHours":24.54780783111184,"quality":"inauspicious"},{"name":"Chala","start":"00:33","end":"01:52","startHours":24.54780783111184,"endHours":25.873499273654758,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:12","startHours":25.873499273654758,"endHours":27.199190716197677,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:31","startHours":27.199190716197677,"endHours":28.5248821587406,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:51","startHours":28.5248821587406,"endHours":29.850573601283518,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.850573601283517,"endHours":6.850573601283517,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.850573601283517,"endHours":7.850573601283517,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.850573601283517,"endHours":8.850573601283518,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.850573601283518,"endHours":9.850573601283518,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.850573601283518,"endHours":10.850573601283518,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.850573601283518,"endHours":11.850573601283518,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.850573601283518,"endHours":12.850573601283518,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.850573601283518,"endHours":13.850573601283518,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.850573601283518,"endHours":14.850573601283518,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.850573601283518,"endHours":15.850573601283518,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.850573601283518,"endHours":16.850573601283518,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.850573601283518,"endHours":17.850573601283518,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.850573601283518,"endHours":18.850573601283518,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.850573601283518,"endHours":19.850573601283518,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.850573601283518,"endHours":20.850573601283518,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.850573601283518,"endHours":21.850573601283518,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.850573601283518,"endHours":22.850573601283518,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.850573601283518,"endHours":23.850573601283518,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.850573601283518,"endHours":24.850573601283518,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.850573601283518,"endHours":25.850573601283518,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.850573601283518,"endHours":26.850573601283518,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.850573601283518,"endHours":27.850573601283518,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.850573601283518,"endHours":28.850573601283518,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.850573601283518,"endHours":29.850573601283518,"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":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"jaipur"},"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 · Jaipur, Rajasthan · Vidhyamitra","description":"August 1, 2045 CE for Jaipur, Rajasthan: Kṛṣṇa Caturthī, sūryodaya 05:51, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/jaipur/2045-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/jaipur/2045-08-01","sa":"https://sa.vidhyamitra.com/city/jaipur/2045-08-01","hi":"https://hi.vidhyamitra.com/city/jaipur/2045-08-01","x-default":"https://vidhyamitra.com/city/jaipur/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":"2026-09-23T15:37:45.880Z","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":"2026-09-23T15:37:45.881Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T15:37:45.881Z","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"}}}