{"id":"vidhyamitra:city-day:pushkar:2050-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2050-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-12-20","date_display":"December 20, 2050 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":2050,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470160.770833,"kali_year":5152,"ahargana":1881695.2708,"sun":{"sidereal_longitude":243.2925,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":317.6975,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.4051,"elapsed_within_tithi_degrees":2.4051},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6975,"elapsed_within_degrees":11.0309},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.99},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2050,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470160.770833,"ahargana":1881695.2708,"kali_year":5152,"ayanamsa_lahiri":24.565,"grahas":{"sun":{"sidereal_longitude":243.760351,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":318.853351,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":3.936},"mars":{"sidereal_longitude":332.543851,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":226.282651,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":130.45685100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":196.36295100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":281.288951,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":198.7292,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.7292,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470160.770833,"kali_year":5152,"ahargana":1881695.2708,"sun":{"sidereal_longitude":243.2925,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":317.6975,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.4051,"elapsed_within_tithi_degrees":2.4051},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6975,"elapsed_within_degrees":11.0309},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.99},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.936,"elongation":74.405},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.936,"opposition_distance":105.595}},"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":10.475567333201406,"dayLengthDisplay":"10 Hours 28 Mins 32 Secs","nightLengthDisplay":"13 Hours 31 Mins 28 Secs","moonriseLocal":"11:41","moonsetLocal":"23:20","rahuKala":{"name":"Rāhu Kāla","start":"15:07","end":"16:26","startHours":15.118026541259207,"endHours":16.42747245790938,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:53","end":"11:11","startHours":9.880242874658503,"endHours":11.18968879130868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:49","startHours":12.499134707958856,"endHours":13.80858062460903,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:42","end":"10:03","startHours":9.705650085771813,"endHours":10.054835663545195,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:59","startHours":7.697833013574877,"endHours":7.977181475793581,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.149949130185476,"endHours":12.848320285732235,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.8646087302646315,"endHours":6.562979885811392,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:16","startHours":6.388387096924701,"endHours":7.261351041358152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.245062596825756,"endHours":14.943433752372517,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.53691837455956,"endHours":17.936918374559557,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.736918374559558,"endHours":18.173400346776283,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.486918374559558,"endHours":19.236918374559558,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.149949130185476,"endHours":24.848320285732235,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:16","end":"08:34","startHours":7.261351041358152,"endHours":8.570796958008328,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"09:53","startHours":8.570796958008328,"endHours":9.880242874658503,"quality":"inauspicious"},{"name":"Chala","start":"09:53","end":"11:11","startHours":9.880242874658503,"endHours":11.18968879130868,"quality":"neutral"},{"name":"Labha","start":"11:11","end":"12:30","startHours":11.18968879130868,"endHours":12.499134707958856,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:49","startHours":12.499134707958856,"endHours":13.80858062460903,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:07","startHours":13.80858062460903,"endHours":15.118026541259207,"quality":"inauspicious"},{"name":"Śubha","start":"15:07","end":"16:26","startHours":15.118026541259207,"endHours":16.42747245790938,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:44","startHours":16.42747245790938,"endHours":17.736918374559558,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:44","end":"19:26","startHours":17.736918374559558,"endHours":19.42747245790938,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:07","startHours":19.42747245790938,"endHours":21.118026541259205,"quality":"auspicious"},{"name":"Roga","start":"21:07","end":"22:49","startHours":21.118026541259205,"endHours":22.80858062460903,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:30","startHours":22.80858062460903,"endHours":24.499134707958856,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:11","startHours":24.499134707958856,"endHours":26.18968879130868,"quality":"neutral"},{"name":"Labha","start":"02:11","end":"03:53","startHours":26.18968879130868,"endHours":27.880242874658503,"quality":"auspicious"},{"name":"Amṛta","start":"03:53","end":"05:34","startHours":27.880242874658503,"endHours":29.57079695800833,"quality":"auspicious"},{"name":"Kāla","start":"05:34","end":"07:16","startHours":29.57079695800833,"endHours":31.261351041358154,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.261351041358152,"endHours":8.261351041358152,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.261351041358152,"endHours":9.261351041358152,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.261351041358152,"endHours":10.261351041358152,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.261351041358152,"endHours":11.261351041358152,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.261351041358152,"endHours":12.261351041358152,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.261351041358152,"endHours":13.261351041358152,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.261351041358152,"endHours":14.261351041358152,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.261351041358152,"endHours":15.261351041358152,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.261351041358152,"endHours":16.261351041358154,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.261351041358154,"endHours":17.261351041358154,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.261351041358154,"endHours":18.261351041358154,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.261351041358154,"endHours":19.261351041358154,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.261351041358154,"endHours":20.261351041358154,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.261351041358154,"endHours":21.261351041358154,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.261351041358154,"endHours":22.261351041358154,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.261351041358154,"endHours":23.261351041358154,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.261351041358154,"endHours":24.261351041358154,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.261351041358154,"endHours":25.261351041358154,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.261351041358154,"endHours":26.261351041358154,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.261351041358154,"endHours":27.261351041358154,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.261351041358154,"endHours":28.261351041358154,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.261351041358154,"endHours":29.261351041358154,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.261351041358154,"endHours":30.261351041358154,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.261351041358154,"endHours":31.261351041358154,"planetary_lord":"Saturn"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.42589206373357,"eotMinutes":1.851917522468745,"ayanamsa":24.565}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"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 20, 2050 CE · Puṣkar · Vidhyamitra","description":"December 20, 2050 CE for Puṣkar: Śukla Saptamī, sūryodaya 07:16, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2050-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2050-12-20","sa":"https://sa.vidhyamitra.com/city/pushkar/2050-12-20","hi":"https://hi.vidhyamitra.com/city/pushkar/2050-12-20","x-default":"https://vidhyamitra.com/city/pushkar/2050-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:23:18.231Z","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":"2026-05-31T21:23:18.231Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:23:18.231Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}