{"id":"vidhyamitra:city-day:pushkar:2045-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2045-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-21","date_display":"July 21, 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":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468182.770833,"kali_year":5147,"ahargana":1879717.2708,"sun":{"sidereal_longitude":93.6528,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":180.2697,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6169,"elapsed_within_tithi_degrees":2.6169},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.2697,"elapsed_within_degrees":6.9364},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.9226},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2045,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468182.770833,"ahargana":1879717.2708,"kali_year":5147,"ayanamsa_lahiri":24.4893,"grahas":{"sun":{"sidereal_longitude":94.22942499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":183.71502499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.7615},"mars":{"sidereal_longitude":73.14182499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":103.14842499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":317.30482499999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":125.504525,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":220.03022499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.5332,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.5332,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468182.770833,"kali_year":5147,"ahargana":1879717.2708,"sun":{"sidereal_longitude":93.6528,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":180.2697,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6169,"elapsed_within_tithi_degrees":2.6169},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.2697,"elapsed_within_degrees":6.9364},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.9226},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.762,"elongation":86.617},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.762,"opposition_distance":93.383}},"eclipse_window_40days":[{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"05:51","sunsetLocal":"19:25","solarNoonLocal":"12:38","dayLengthHours":13.56020873849451,"dayLengthDisplay":"13 Hours 33 Mins 37 Secs","nightLengthDisplay":"10 Hours 26 Mins 23 Secs","moonriseLocal":"12:55","moonsetLocal":"00:17","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:38","startHours":10.93580396494292,"endHours":12.630830057254734,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:01","end":"17:43","startHours":16.02088224187836,"endHours":17.715908334190175,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:14","startHours":7.545751780319294,"endHours":9.240777872631107,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:28","startHours":9.014774393656198,"endHours":9.466781351606016,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:47","startHours":6.415734385444751,"endHours":6.7773399518046045,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"13:05","startHours":12.178823099304918,"endHours":13.08283701520455,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:57","startHours":4.042697856208212,"endHours":4.946711772107846,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:51","startHours":4.720708293132938,"endHours":5.85072568800748,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:48","startHours":14.890864847003819,"endHours":15.794878762903453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:13","end":"19:37","startHours":19.21093442650199,"endHours":19.610934426501988,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:25","end":"19:59","startHours":19.41093442650199,"endHours":19.97594312393926,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:10","end":"20:55","startHours":19.16093442650199,"endHours":20.91093442650199,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"01:05","startHours":24.178823099304918,"endHours":25.08283701520455,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:51","end":"07:33","startHours":5.85072568800748,"endHours":7.545751780319294,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:14","startHours":7.545751780319294,"endHours":9.240777872631107,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:56","startHours":9.240777872631107,"endHours":10.93580396494292,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:38","startHours":10.93580396494292,"endHours":12.630830057254734,"quality":"inauspicious"},{"name":"Śubha","start":"12:38","end":"14:20","startHours":12.630830057254734,"endHours":14.325856149566548,"quality":"auspicious"},{"name":"Roga","start":"14:20","end":"16:01","startHours":14.325856149566548,"endHours":16.02088224187836,"quality":"inauspicious"},{"name":"Udveg","start":"16:01","end":"17:43","startHours":16.02088224187836,"endHours":17.715908334190175,"quality":"inauspicious"},{"name":"Chala","start":"17:43","end":"19:25","startHours":17.715908334190175,"endHours":19.41093442650199,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:25","end":"20:43","startHours":19.41093442650199,"endHours":20.715908334190175,"quality":"inauspicious"},{"name":"Udveg","start":"20:43","end":"22:01","startHours":20.715908334190175,"endHours":22.02088224187836,"quality":"inauspicious"},{"name":"Chala","start":"22:01","end":"23:20","startHours":22.02088224187836,"endHours":23.325856149566548,"quality":"neutral"},{"name":"Labha","start":"23:20","end":"00:38","startHours":23.325856149566548,"endHours":24.630830057254734,"quality":"auspicious"},{"name":"Amṛta","start":"00:38","end":"01:56","startHours":24.630830057254734,"endHours":25.93580396494292,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:14","startHours":25.93580396494292,"endHours":27.240777872631107,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:33","startHours":27.240777872631107,"endHours":28.545751780319293,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:51","startHours":28.545751780319293,"endHours":29.85072568800748,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.85072568800748,"endHours":6.85072568800748,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.85072568800748,"endHours":7.85072568800748,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.85072568800748,"endHours":8.85072568800748,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.85072568800748,"endHours":9.85072568800748,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.85072568800748,"endHours":10.85072568800748,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.85072568800748,"endHours":11.85072568800748,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.85072568800748,"endHours":12.85072568800748,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.85072568800748,"endHours":13.85072568800748,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.85072568800748,"endHours":14.85072568800748,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.85072568800748,"endHours":15.85072568800748,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.85072568800748,"endHours":16.85072568800748,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.85072568800748,"endHours":17.85072568800748,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.85072568800748,"endHours":18.85072568800748,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.85072568800748,"endHours":19.85072568800748,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.85072568800748,"endHours":20.85072568800748,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.85072568800748,"endHours":21.85072568800748,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.85072568800748,"endHours":22.85072568800748,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.85072568800748,"endHours":23.85072568800748,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.85072568800748,"endHours":24.85072568800748,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.85072568800748,"endHours":25.85072568800748,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.85072568800748,"endHours":26.85072568800748,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.85072568800748,"endHours":27.85072568800748,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.85072568800748,"endHours":28.85072568800748,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.85072568800748,"endHours":29.85072568800748,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.414367077179186,"eotMinutes":-6.049803435283957,"ayanamsa":24.4893}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","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":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Aṣṭamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 21, 2045 CE · Puṣkar · Vidhyamitra","description":"July 21, 2045 CE for Puṣkar: Śukla Aṣṭamī, sūryodaya 05:51, sūryāsta 19:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2045-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2045-07-21","sa":"https://sa.vidhyamitra.com/city/pushkar/2045-07-21","hi":"https://hi.vidhyamitra.com/city/pushkar/2045-07-21","x-default":"https://vidhyamitra.com/city/pushkar/2045-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:18:22.187Z","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":"2026-05-30T23:18:22.187Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:18:22.187Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}