{"id":"vidhyamitra:city-day:pushkar:2045-12-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2045-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-05","date_display":"December 5, 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":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468319.770833,"kali_year":5147,"ahargana":1879854.2708,"sun":{"sidereal_longitude":228.2185,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":186.0357,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":317.8172,"elapsed_within_tithi_degrees":5.8172},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":186.0357,"elapsed_within_degrees":12.7024},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.2542},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468319.770833,"ahargana":1879854.2708,"kali_year":5147,"ayanamsa_lahiri":24.4946,"grahas":{"sun":{"sidereal_longitude":228.79979100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":185.88949100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.2217},"mars":{"sidereal_longitude":157.18189099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":207.864191,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":310.34769099999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":262.97629099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":228.77629100000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":296.2742,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.2742,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468319.770833,"kali_year":5147,"ahargana":1879854.2708,"sun":{"sidereal_longitude":228.2185,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":186.0357,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":317.8172,"elapsed_within_tithi_degrees":5.8172},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":186.0357,"elapsed_within_degrees":12.7024},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.2542},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.222,"elongation":42.183},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.222,"opposition_distance":137.817}},"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":"07:07","sunsetLocal":"17:40","solarNoonLocal":"12:23","dayLengthHours":10.557023004234694,"dayLengthDisplay":"10 Hours 33 Mins 25 Secs","nightLengthDisplay":"13 Hours 26 Mins 35 Secs","moonriseLocal":"03:52","moonsetLocal":"15:11","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:21","startHours":15.026666028724609,"endHours":16.346293904253944,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:45","end":"11:04","startHours":9.748154526607262,"endHours":11.067782402136597,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"13:42","startHours":12.387410277665936,"endHours":13.70703815319527,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:55","startHours":9.57220414320335,"endHours":9.924104910011174,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.548774734058367,"endHours":7.8302953475046255,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035509510858112,"endHours":12.739311044473759,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.7012957083172955,"endHours":6.405097241932942,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:07","startHours":6.22914685852903,"endHours":7.108898775548588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.146914111705051,"endHours":14.850715645320697,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.465921779783283,"endHours":17.86592177978328,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.665921779783282,"endHours":18.105797738293063,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.415921779783282,"endHours":19.165921779783282,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.035509510858112,"endHours":24.73931104447376,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:07","end":"08:26","startHours":7.108898775548588,"endHours":8.428526651077924,"quality":"inauspicious"},{"name":"Udveg","start":"08:26","end":"09:45","startHours":8.428526651077924,"endHours":9.748154526607262,"quality":"inauspicious"},{"name":"Chala","start":"09:45","end":"11:04","startHours":9.748154526607262,"endHours":11.067782402136597,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:23","startHours":11.067782402136597,"endHours":12.387410277665936,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"13:42","startHours":12.387410277665936,"endHours":13.70703815319527,"quality":"auspicious"},{"name":"Kāla","start":"13:42","end":"15:02","startHours":13.70703815319527,"endHours":15.026666028724609,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:21","startHours":15.026666028724609,"endHours":16.346293904253944,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:40","startHours":16.346293904253944,"endHours":17.665921779783282,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:21","startHours":17.665921779783282,"endHours":19.346293904253947,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"21:02","startHours":19.346293904253947,"endHours":21.02666602872461,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:42","startHours":21.02666602872461,"endHours":22.70703815319527,"quality":"inauspicious"},{"name":"Udveg","start":"22:42","end":"00:23","startHours":22.70703815319527,"endHours":24.387410277665936,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"02:04","startHours":24.387410277665936,"endHours":26.0677824021366,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:45","startHours":26.0677824021366,"endHours":27.748154526607262,"quality":"auspicious"},{"name":"Amṛta","start":"03:45","end":"05:26","startHours":27.748154526607262,"endHours":29.428526651077924,"quality":"auspicious"},{"name":"Kāla","start":"05:26","end":"07:07","startHours":29.428526651077924,"endHours":31.10889877554859,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.108898775548588,"endHours":8.108898775548589,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.108898775548589,"endHours":9.108898775548589,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.108898775548589,"endHours":10.108898775548589,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.108898775548589,"endHours":11.108898775548589,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.108898775548589,"endHours":12.108898775548589,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.108898775548589,"endHours":13.108898775548589,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.108898775548589,"endHours":14.108898775548589,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.108898775548589,"endHours":15.108898775548589,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.108898775548589,"endHours":16.10889877554859,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.10889877554859,"endHours":17.10889877554859,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.10889877554859,"endHours":18.10889877554859,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.10889877554859,"endHours":19.10889877554859,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.10889877554859,"endHours":20.10889877554859,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.10889877554859,"endHours":21.10889877554859,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.10889877554859,"endHours":22.10889877554859,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.10889877554859,"endHours":23.10889877554859,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.10889877554859,"endHours":24.10889877554859,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.10889877554859,"endHours":25.10889877554859,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.10889877554859,"endHours":26.10889877554859,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.10889877554859,"endHours":27.10889877554859,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.10889877554859,"endHours":28.10889877554859,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.10889877554859,"endHours":29.10889877554859,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.10889877554859,"endHours":30.10889877554859,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.10889877554859,"endHours":31.10889877554859,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.392286666517595,"eotMinutes":8.555383340043877,"ayanamsa":24.4946}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 5, 2045 CE · Puṣkar · Vidhyamitra","description":"December 5, 2045 CE for Puṣkar: Kṛṣṇa Dvādaśī, sūryodaya 07:07, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2045-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2045-12-05","sa":"https://sa.vidhyamitra.com/city/pushkar/2045-12-05","hi":"https://hi.vidhyamitra.com/city/pushkar/2045-12-05","x-default":"https://vidhyamitra.com/city/pushkar/2045-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:28:26.964Z","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":"2026-05-30T23:28:26.964Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:28:26.964Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}