{"id":"vidhyamitra:city-day:pushkar:2021-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2021-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-12-16","date_display":"December 16, 2021 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":2021,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459564.770833,"kali_year":5123,"ahargana":1871099.2708,"sun":{"sidereal_longitude":239.7037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":24.2355,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.5318,"elapsed_within_tithi_degrees":0.5318},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2355,"elapsed_within_degrees":10.9022},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.9392},"karana":{"half_tithi_index":24,"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":2021,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459564.770833,"ahargana":1871099.2708,"kali_year":5123,"ayanamsa_lahiri":24.1597,"grahas":{"sun":{"sidereal_longitude":240.13389600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.14579600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-1.2332},"mars":{"sidereal_longitude":217.38299600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":249.19679599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":303.474296,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":271.801196,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":286.16059599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":40.1563,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.1563,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459564.770833,"kali_year":5123,"ahargana":1871099.2708,"sun":{"sidereal_longitude":239.7037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":24.2355,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.5318,"elapsed_within_tithi_degrees":0.5318},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2355,"elapsed_within_degrees":10.9022},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.9392},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.233,"elongation":144.532},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.233,"opposition_distance":35.468}},"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":"07:14","sunsetLocal":"17:43","solarNoonLocal":"12:28","dayLengthHours":10.484493612761192,"dayLengthDisplay":"10 Hours 29 Mins 04 Secs","nightLengthDisplay":"13 Hours 30 Mins 56 Secs","moonriseLocal":"15:32","moonsetLocal":"04:52","rahuKala":{"name":"Rāhu Kāla","start":"13:47","end":"15:05","startHours":13.778613087808939,"endHours":15.089174789404087,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:32","startHours":7.225804579833194,"endHours":8.536366281428343,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:51","end":"11:09","startHours":9.846927983023491,"endHours":11.15748968461864,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.672186422810805,"endHours":10.021669543236179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.66265848036491,"endHours":7.942244976705209,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.118568265788417,"endHours":12.817534506639165,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.827872098131702,"endHours":6.526838338982448,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:14","startHours":6.352096778769761,"endHours":7.225804579833194,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.215466988340655,"endHours":14.9144332291914,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.510298192594387,"endHours":17.910298192594386,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.710298192594387,"endHours":18.147152093126103,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.460298192594387,"endHours":19.210298192594387,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11856826578842,"endHours":24.817534506639163,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:32","startHours":7.225804579833194,"endHours":8.536366281428343,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:51","startHours":8.536366281428343,"endHours":9.846927983023491,"quality":"inauspicious"},{"name":"Udveg","start":"09:51","end":"11:09","startHours":9.846927983023491,"endHours":11.15748968461864,"quality":"inauspicious"},{"name":"Chala","start":"11:09","end":"12:28","startHours":11.15748968461864,"endHours":12.46805138621379,"quality":"neutral"},{"name":"Labha","start":"12:28","end":"13:47","startHours":12.46805138621379,"endHours":13.778613087808939,"quality":"auspicious"},{"name":"Amṛta","start":"13:47","end":"15:05","startHours":13.778613087808939,"endHours":15.089174789404087,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:24","startHours":15.089174789404087,"endHours":16.39973649099924,"quality":"inauspicious"},{"name":"Śubha","start":"16:24","end":"17:43","startHours":16.39973649099924,"endHours":17.710298192594387,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:43","end":"19:24","startHours":17.710298192594387,"endHours":19.39973649099924,"quality":"auspicious"},{"name":"Kāla","start":"19:24","end":"21:05","startHours":19.39973649099924,"endHours":21.08917478940409,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:47","startHours":21.08917478940409,"endHours":22.77861308780894,"quality":"auspicious"},{"name":"Roga","start":"22:47","end":"00:28","startHours":22.77861308780894,"endHours":24.46805138621379,"quality":"inauspicious"},{"name":"Udveg","start":"00:28","end":"02:09","startHours":24.46805138621379,"endHours":26.157489684618643,"quality":"inauspicious"},{"name":"Chala","start":"02:09","end":"03:51","startHours":26.157489684618643,"endHours":27.84692798302349,"quality":"neutral"},{"name":"Labha","start":"03:51","end":"05:32","startHours":27.84692798302349,"endHours":29.536366281428343,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:14","startHours":29.536366281428343,"endHours":31.225804579833195,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.225804579833194,"endHours":8.225804579833195,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.225804579833195,"endHours":9.225804579833195,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.225804579833195,"endHours":10.225804579833195,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.225804579833195,"endHours":11.225804579833195,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.225804579833195,"endHours":12.225804579833195,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.225804579833195,"endHours":13.225804579833195,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.225804579833195,"endHours":14.225804579833195,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.225804579833195,"endHours":15.225804579833195,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.225804579833195,"endHours":16.225804579833195,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.225804579833195,"endHours":17.225804579833195,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.225804579833195,"endHours":18.225804579833195,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.225804579833195,"endHours":19.225804579833195,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.225804579833195,"endHours":20.225804579833195,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.225804579833195,"endHours":21.225804579833195,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.225804579833195,"endHours":22.225804579833195,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.225804579833195,"endHours":23.225804579833195,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.225804579833195,"endHours":24.225804579833195,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.225804579833195,"endHours":25.225804579833195,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.225804579833195,"endHours":26.225804579833195,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.225804579833195,"endHours":27.225804579833195,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.225804579833195,"endHours":28.225804579833195,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.225804579833195,"endHours":29.225804579833195,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.225804579833195,"endHours":30.225804579833195,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.225804579833195,"endHours":31.225804579833195,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.313474276979544,"eotMinutes":3.716916827172506,"ayanamsa":24.1597}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 16, 2021 CE · Puṣkar · Vidhyamitra","description":"December 16, 2021 CE for Puṣkar: Śukla Trayodaśī, sūryodaya 07:14, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2021-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2021-12-16","sa":"https://sa.vidhyamitra.com/city/pushkar/2021-12-16","hi":"https://hi.vidhyamitra.com/city/pushkar/2021-12-16","x-default":"https://vidhyamitra.com/city/pushkar/2021-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T18:21:36.563Z","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":"2026-05-15T18:21:36.563Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T18:21:36.563Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}