{"id":"vidhyamitra:city-day:pushkar:2045-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2045-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-14","date_display":"December 14, 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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468328.770833,"kali_year":5147,"ahargana":1879863.2708,"sun":{"sidereal_longitude":237.4364,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":302.9512,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.5148,"elapsed_within_tithi_degrees":5.5148},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":302.9512,"elapsed_within_degrees":9.6179},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.3876},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468328.770833,"ahargana":1879863.2708,"kali_year":5147,"ayanamsa_lahiri":24.4949,"grahas":{"sun":{"sidereal_longitude":237.94264699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":300.864647,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":0.5598},"mars":{"sidereal_longitude":161.943847,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":219.61794699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":311.514147,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":263.81764699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":229.84024699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":295.7974,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.7974,"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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468328.770833,"kali_year":5147,"ahargana":1879863.2708,"sun":{"sidereal_longitude":237.4364,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":302.9512,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.5148,"elapsed_within_tithi_degrees":5.5148},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":302.9512,"elapsed_within_degrees":9.6179},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.3876},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.56,"elongation":65.515},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.56,"opposition_distance":114.485}},"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":"07:12","sunsetLocal":"17:42","solarNoonLocal":"12:27","dayLengthHours":10.491852387220732,"dayLengthDisplay":"10 Hours 29 Mins 31 Secs","nightLengthDisplay":"13 Hours 30 Mins 29 Secs","moonriseLocal":"11:03","moonsetLocal":"22:15","rahuKala":{"name":"Rāhu Kāla","start":"13:46","end":"15:05","startHours":13.764215052168737,"endHours":15.075696600571327,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:31","startHours":7.206807310155779,"endHours":8.518288858558371,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:08","startHours":9.82977040696096,"endHours":11.141251955363554,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.654906200507282,"endHours":10.004634613414641,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.643967826289976,"endHours":7.923750556615862,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.103005090858787,"endHours":12.8024619166735,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:30","startHours":5.807893658526348,"endHours":6.507350484341063,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:12","startHours":6.3324862778873845,"endHours":7.206807310155779,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.201375568302932,"endHours":14.900832394117648,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.49865969737651,"endHours":17.89865969737651,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.69865969737651,"endHours":18.135820213510705,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.44865969737651,"endHours":19.19865969737651,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.103005090858787,"endHours":24.8024619166735,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:12","end":"08:31","startHours":7.206807310155779,"endHours":8.518288858558371,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.518288858558371,"endHours":9.82977040696096,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:08","startHours":9.82977040696096,"endHours":11.141251955363554,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:27","startHours":11.141251955363554,"endHours":12.452733503766144,"quality":"neutral"},{"name":"Labha","start":"12:27","end":"13:46","startHours":12.452733503766144,"endHours":13.764215052168737,"quality":"auspicious"},{"name":"Amṛta","start":"13:46","end":"15:05","startHours":13.764215052168737,"endHours":15.075696600571327,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:23","startHours":15.075696600571327,"endHours":16.38717814897392,"quality":"inauspicious"},{"name":"Śubha","start":"16:23","end":"17:42","startHours":16.38717814897392,"endHours":17.69865969737651,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:42","end":"19:23","startHours":17.69865969737651,"endHours":19.387178148973916,"quality":"auspicious"},{"name":"Kāla","start":"19:23","end":"21:05","startHours":19.387178148973916,"endHours":21.075696600571327,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:46","startHours":21.075696600571327,"endHours":22.764215052168737,"quality":"auspicious"},{"name":"Roga","start":"22:46","end":"00:27","startHours":22.764215052168737,"endHours":24.452733503766144,"quality":"inauspicious"},{"name":"Udveg","start":"00:27","end":"02:08","startHours":24.452733503766144,"endHours":26.14125195536355,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:50","startHours":26.14125195536355,"endHours":27.82977040696096,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.82977040696096,"endHours":29.51828885855837,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:12","startHours":29.51828885855837,"endHours":31.206807310155778,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.206807310155779,"endHours":8.206807310155778,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.206807310155778,"endHours":9.206807310155778,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.206807310155778,"endHours":10.206807310155778,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.206807310155778,"endHours":11.206807310155778,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.206807310155778,"endHours":12.206807310155778,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.206807310155778,"endHours":13.206807310155778,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.206807310155778,"endHours":14.206807310155778,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.206807310155778,"endHours":15.206807310155778,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.206807310155778,"endHours":16.206807310155778,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.206807310155778,"endHours":17.206807310155778,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.206807310155778,"endHours":18.206807310155778,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.206807310155778,"endHours":19.206807310155778,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.206807310155778,"endHours":20.206807310155778,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.206807310155778,"endHours":21.206807310155778,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.206807310155778,"endHours":22.206807310155778,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.206807310155778,"endHours":23.206807310155778,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.206807310155778,"endHours":24.206807310155778,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.206807310155778,"endHours":25.206807310155778,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.206807310155778,"endHours":26.206807310155778,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.206807310155778,"endHours":27.206807310155778,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.206807310155778,"endHours":28.206807310155778,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.206807310155778,"endHours":29.206807310155778,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.206807310155778,"endHours":30.206807310155778,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.206807310155778,"endHours":31.206807310155778,"planetary_lord":"Moon"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.220639601317007,"eotMinutes":4.63598977403141,"ayanamsa":24.4949}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Śukla Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":[]},"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 14, 2045 CE · Puṣkar · Vidhyamitra","description":"December 14, 2045 CE for Puṣkar: Śukla Ṣaṣṭhī, sūryodaya 07:12, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2045-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2045-12-14","sa":"https://sa.vidhyamitra.com/city/pushkar/2045-12-14","hi":"https://hi.vidhyamitra.com/city/pushkar/2045-12-14","x-default":"https://vidhyamitra.com/city/pushkar/2045-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:02:58.787Z","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":"2026-05-31T12:02:58.787Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:02:58.787Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}