{"id":"vidhyamitra:city-day:pushkar:2021-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2021-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-12-20","date_display":"December 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459568.770833,"kali_year":5123,"ahargana":1871103.2708,"sun":{"sidereal_longitude":243.81,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.5552,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.7452,"elapsed_within_tithi_degrees":10.7452},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.5552,"elapsed_within_degrees":7.8885},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3651},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459568.770833,"ahargana":1871103.2708,"kali_year":5123,"ayanamsa_lahiri":24.1599,"grahas":{"sun":{"sidereal_longitude":244.20464300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":73.414443,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":2.5542},"mars":{"sidereal_longitude":220.19144300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.508643,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":304.15784299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":272.017343,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":286.54834299999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":39.9443,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.9443,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459568.770833,"kali_year":5123,"ahargana":1871103.2708,"sun":{"sidereal_longitude":243.81,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.5552,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.7452,"elapsed_within_tithi_degrees":10.7452},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.5552,"elapsed_within_degrees":7.8885},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3651},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.554,"elongation":169.255},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.554,"opposition_distance":10.745}},"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":"07:16","sunsetLocal":"17:44","solarNoonLocal":"12:30","dayLengthHours":10.475528337157023,"dayLengthDisplay":"10 Hours 28 Mins 32 Secs","nightLengthDisplay":"13 Hours 31 Mins 28 Secs","moonriseLocal":"18:14","moonsetLocal":"07:59","rahuKala":{"name":"Rāhu Kāla","start":"08:34","end":"09:53","startHours":8.570811581524971,"endHours":9.8802526236696,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:11","end":"12:30","startHours":11.189693665814229,"endHours":12.499134707958856,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:07","startHours":13.808575750103483,"endHours":15.118016792248111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:42","end":"10:03","startHours":9.705660484716983,"endHours":10.054844762622217,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:59","startHours":7.697850886761887,"endHours":7.9771983090860745,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.149950430053622,"endHours":12.84831898586409,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.864633427759408,"endHours":6.563001983569876,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:16","startHours":6.388409844617259,"endHours":7.261370539380344,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.245056097485026,"endHours":14.943424653295494,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.536898876537368,"endHours":17.936898876537366,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.736898876537367,"endHours":18.17337922391891,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.486898876537367,"endHours":19.236898876537367,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.14995043005362,"endHours":24.84831898586409,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:16","end":"08:34","startHours":7.261370539380344,"endHours":8.570811581524971,"quality":"auspicious"},{"name":"Kāla","start":"08:34","end":"09:53","startHours":8.570811581524971,"endHours":9.8802526236696,"quality":"inauspicious"},{"name":"Śubha","start":"09:53","end":"11:11","startHours":9.8802526236696,"endHours":11.189693665814229,"quality":"auspicious"},{"name":"Roga","start":"11:11","end":"12:30","startHours":11.189693665814229,"endHours":12.499134707958856,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:49","startHours":12.499134707958856,"endHours":13.808575750103483,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:07","startHours":13.808575750103483,"endHours":15.118016792248111,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:26","startHours":15.118016792248111,"endHours":16.42745783439274,"quality":"auspicious"},{"name":"Amṛta","start":"16:26","end":"17:44","startHours":16.42745783439274,"endHours":17.736898876537367,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:44","end":"19:26","startHours":17.736898876537367,"endHours":19.42745783439274,"quality":"neutral"},{"name":"Labha","start":"19:26","end":"21:07","startHours":19.42745783439274,"endHours":21.118016792248113,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:49","startHours":21.118016792248113,"endHours":22.808575750103483,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:30","startHours":22.808575750103483,"endHours":24.499134707958856,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:11","startHours":24.499134707958856,"endHours":26.18969366581423,"quality":"auspicious"},{"name":"Roga","start":"02:11","end":"03:53","startHours":26.18969366581423,"endHours":27.880252623669598,"quality":"inauspicious"},{"name":"Udveg","start":"03:53","end":"05:34","startHours":27.880252623669598,"endHours":29.57081158152497,"quality":"inauspicious"},{"name":"Chala","start":"05:34","end":"07:16","startHours":29.57081158152497,"endHours":31.261370539380344,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.261370539380344,"endHours":8.261370539380344,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.261370539380344,"endHours":9.261370539380344,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.261370539380344,"endHours":10.261370539380344,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.261370539380344,"endHours":11.261370539380344,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.261370539380344,"endHours":12.261370539380344,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.261370539380344,"endHours":13.261370539380344,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.261370539380344,"endHours":14.261370539380344,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.261370539380344,"endHours":15.261370539380344,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.261370539380344,"endHours":16.261370539380344,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.261370539380344,"endHours":17.261370539380344,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.261370539380344,"endHours":18.261370539380344,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.261370539380344,"endHours":19.261370539380344,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.261370539380344,"endHours":20.261370539380344,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.261370539380344,"endHours":21.261370539380344,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.261370539380344,"endHours":22.261370539380344,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.261370539380344,"endHours":23.261370539380344,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.261370539380344,"endHours":24.261370539380344,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.261370539380344,"endHours":25.261370539380344,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.261370539380344,"endHours":26.261370539380344,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.261370539380344,"endHours":27.261370539380344,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.261370539380344,"endHours":28.261370539380344,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.261370539380344,"endHours":29.261370539380344,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.261370539380344,"endHours":30.261370539380344,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.261370539380344,"endHours":31.261370539380344,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":-23.42638271908023,"eotMinutes":1.851917522468745,"ayanamsa":24.1599}},"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 Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · 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}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 20, 2021 CE · Puṣkar · Vidhyamitra","description":"December 20, 2021 CE for Puṣkar: Kṛṣṇa Pratipada, sūryodaya 07:16, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2021-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2021-12-20","sa":"https://sa.vidhyamitra.com/city/pushkar/2021-12-20","hi":"https://hi.vidhyamitra.com/city/pushkar/2021-12-20","x-default":"https://vidhyamitra.com/city/pushkar/2021-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T05:53:10.879Z","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":"2026-05-15T05:53:10.879Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T05:53:10.879Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}