{"id":"vidhyamitra:city-day:pushkar:2045-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2045-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-04-20","date_display":"April 20, 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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468090.770833,"kali_year":5147,"ahargana":1879625.2708,"sun":{"sidereal_longitude":5.8988,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.6895,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.7907,"elapsed_within_tithi_degrees":9.7907},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.6895,"elapsed_within_degrees":13.0228},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5883},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2045,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468090.770833,"ahargana":1879625.2708,"kali_year":5147,"ayanamsa_lahiri":24.4858,"grahas":{"sun":{"sidereal_longitude":5.892539999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":40.19544000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.4989},"mars":{"sidereal_longitude":8.127139999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":337.97904,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":310.60493999999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":13.452339999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":225.64704000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":308.4078,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":128.4078,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468090.770833,"kali_year":5147,"ahargana":1879625.2708,"sun":{"sidereal_longitude":5.8988,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.6895,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.7907,"elapsed_within_tithi_degrees":9.7907},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.6895,"elapsed_within_degrees":13.0228},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5883},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":33.791},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":146.209}},"eclipse_window_40days":[]},"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":"06:04","sunsetLocal":"18:58","solarNoonLocal":"12:31","dayLengthHours":12.910580676346505,"dayLengthDisplay":"12 Hours 54 Mins 38 Secs","nightLengthDisplay":"11 Hours 05 Mins 22 Secs","moonriseLocal":"08:01","moonsetLocal":"21:35","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:44","startHours":14.1276931934493,"endHours":15.741515777992612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:04","end":"07:40","startHours":6.058580270732733,"endHours":7.672402855276046,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:17","end":"10:54","startHours":9.28622543981936,"endHours":10.900048024362672,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:30","startHours":9.071049095213585,"endHours":9.501401784425134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:56","startHours":6.596521132247171,"endHours":6.940803283616411,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:57","startHours":12.083517919694435,"endHours":12.944223298117537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:12","startHours":4.337169513886533,"endHours":5.197874892309633,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:59","end":"06:04","startHours":4.9826985477038575,"endHours":6.058580270732733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:32","startHours":14.665634054963737,"endHours":15.526339433386838,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.76916094707924,"endHours":19.169160947079238,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.96916094707924,"endHours":19.507101808593678,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.71916094707924,"endHours":20.46916094707924,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:57","startHours":24.083517919694437,"endHours":24.944223298117535,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:04","end":"07:40","startHours":6.058580270732733,"endHours":7.672402855276046,"quality":"auspicious"},{"name":"Roga","start":"07:40","end":"09:17","startHours":7.672402855276046,"endHours":9.28622543981936,"quality":"inauspicious"},{"name":"Udveg","start":"09:17","end":"10:54","startHours":9.28622543981936,"endHours":10.900048024362672,"quality":"inauspicious"},{"name":"Chala","start":"10:54","end":"12:31","startHours":10.900048024362672,"endHours":12.513870608905986,"quality":"neutral"},{"name":"Labha","start":"12:31","end":"14:08","startHours":12.513870608905986,"endHours":14.1276931934493,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:44","startHours":14.1276931934493,"endHours":15.741515777992612,"quality":"auspicious"},{"name":"Kāla","start":"15:44","end":"17:21","startHours":15.741515777992612,"endHours":17.355338362535925,"quality":"inauspicious"},{"name":"Śubha","start":"17:21","end":"18:58","startHours":17.355338362535925,"endHours":18.96916094707924,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:58","end":"20:21","startHours":18.96916094707924,"endHours":20.355338362535925,"quality":"auspicious"},{"name":"Kāla","start":"20:21","end":"21:44","startHours":20.355338362535925,"endHours":21.74151577799261,"quality":"inauspicious"},{"name":"Śubha","start":"21:44","end":"23:08","startHours":21.74151577799261,"endHours":23.1276931934493,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:31","startHours":23.1276931934493,"endHours":24.513870608905986,"quality":"inauspicious"},{"name":"Udveg","start":"00:31","end":"01:54","startHours":24.513870608905986,"endHours":25.900048024362672,"quality":"inauspicious"},{"name":"Chala","start":"01:54","end":"03:17","startHours":25.900048024362672,"endHours":27.28622543981936,"quality":"neutral"},{"name":"Labha","start":"03:17","end":"04:40","startHours":27.28622543981936,"endHours":28.672402855276047,"quality":"auspicious"},{"name":"Amṛta","start":"04:40","end":"06:04","startHours":28.672402855276047,"endHours":30.058580270732733,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.058580270732733,"endHours":7.058580270732733,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.058580270732733,"endHours":8.058580270732733,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.058580270732733,"endHours":9.058580270732733,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.058580270732733,"endHours":10.058580270732733,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.058580270732733,"endHours":11.058580270732733,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.058580270732733,"endHours":12.058580270732733,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.058580270732733,"endHours":13.058580270732733,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.058580270732733,"endHours":14.058580270732733,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.058580270732733,"endHours":15.058580270732733,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.058580270732733,"endHours":16.058580270732733,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.058580270732733,"endHours":17.058580270732733,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.058580270732733,"endHours":18.058580270732733,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.058580270732733,"endHours":19.058580270732733,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.058580270732733,"endHours":20.058580270732733,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.058580270732733,"endHours":21.058580270732733,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.058580270732733,"endHours":22.058580270732733,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.058580270732733,"endHours":23.058580270732733,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.058580270732733,"endHours":24.058580270732733,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.058580270732733,"endHours":25.058580270732733,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.058580270732733,"endHours":26.058580270732733,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.058580270732733,"endHours":27.058580270732733,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.058580270732733,"endHours":28.058580270732733,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.058580270732733,"endHours":29.058580270732733,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.058580270732733,"endHours":30.058580270732733,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.603417791617753,"eotMinutes":0.9677634656409275,"ayanamsa":24.4858}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"id":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","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 April 20, 2045 CE · Puṣkar · Vidhyamitra","description":"April 20, 2045 CE for Puṣkar: Śukla Tṛtīyā, sūryodaya 06:04, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2045-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2045-04-20","sa":"https://sa.vidhyamitra.com/city/pushkar/2045-04-20","hi":"https://hi.vidhyamitra.com/city/pushkar/2045-04-20","x-default":"https://vidhyamitra.com/city/pushkar/2045-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:27:46.801Z","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":"2026-05-31T11:27:46.801Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:27:46.801Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}