{"id":"vidhyamitra:city-day:pushkar:2048-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2048-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-12-16","date_display":"December 16, 2048 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":2048,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469426.770833,"kali_year":5150,"ahargana":1880961.2708,"sun":{"sidereal_longitude":239.7176,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":11.3674,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.6498,"elapsed_within_tithi_degrees":11.6498},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.3674,"elapsed_within_degrees":11.3674},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.085},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2048,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469426.770833,"ahargana":1880961.2708,"kali_year":5150,"ayanamsa_lahiri":24.5369,"grahas":{"sun":{"sidereal_longitude":240.2118949999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":13.884995000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":3.2492},"mars":{"sidereal_longitude":306.969295,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":256.40689499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":61.245195000000024,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":285.82369500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":260.335595,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":237.6201,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.6201,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2048,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469426.770833,"kali_year":5150,"ahargana":1880961.2708,"sun":{"sidereal_longitude":239.7176,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":11.3674,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.6498,"elapsed_within_tithi_degrees":11.6498},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.3674,"elapsed_within_degrees":11.3674},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.085},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.249,"elongation":131.65},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.249,"opposition_distance":48.35}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":-0.379,"opposition_distance":1.575}]},"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":10.483000094690595,"dayLengthDisplay":"10 Hours 28 Mins 59 Secs","nightLengthDisplay":"13 Hours 31 Mins 01 Secs","moonriseLocal":"14:51","moonsetLocal":"03:55","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.46805138621379,"endHours":13.778426398050115,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:51","startHours":8.536926350704817,"endHours":9.847301362541142,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.157676374377466,"endHours":12.46805138621379,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.672584694296297,"endHours":10.022018030785985,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.663343009480601,"endHours":7.94288967867235,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.118618049724104,"endHours":12.817484722703478,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.828817992909747,"endHours":6.52768466588912,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:14","startHours":6.352967997644277,"endHours":7.226551338868493,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.215218068662223,"endHours":14.914084741641595,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.50955143355909,"endHours":17.909551433559088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.70955143355909,"endHours":18.146343104171198,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.45955143355909,"endHours":19.20955143355909,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.118618049724105,"endHours":24.817484722703476,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:14","end":"08:32","startHours":7.226551338868493,"endHours":8.536926350704817,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:51","startHours":8.536926350704817,"endHours":9.847301362541142,"quality":"auspicious"},{"name":"Kāla","start":"09:51","end":"11:09","startHours":9.847301362541142,"endHours":11.157676374377466,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.157676374377466,"endHours":12.46805138621379,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.46805138621379,"endHours":13.778426398050115,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:05","startHours":13.778426398050115,"endHours":15.08880140988644,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:24","startHours":15.08880140988644,"endHours":16.399176421722764,"quality":"neutral"},{"name":"Labha","start":"16:24","end":"17:43","startHours":16.399176421722764,"endHours":17.70955143355909,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:43","end":"19:24","startHours":17.70955143355909,"endHours":19.399176421722764,"quality":"inauspicious"},{"name":"Chala","start":"19:24","end":"21:05","startHours":19.399176421722764,"endHours":21.08880140988644,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:47","startHours":21.08880140988644,"endHours":22.778426398050115,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.778426398050115,"endHours":24.46805138621379,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.46805138621379,"endHours":26.157676374377466,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:51","startHours":26.157676374377466,"endHours":27.847301362541142,"quality":"auspicious"},{"name":"Roga","start":"03:51","end":"05:32","startHours":27.847301362541142,"endHours":29.536926350704817,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:14","startHours":29.536926350704817,"endHours":31.226551338868493,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.226551338868493,"endHours":8.226551338868493,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.226551338868493,"endHours":9.226551338868493,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.226551338868493,"endHours":10.226551338868493,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.226551338868493,"endHours":11.226551338868493,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.226551338868493,"endHours":12.226551338868493,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.226551338868493,"endHours":13.226551338868493,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.226551338868493,"endHours":14.226551338868493,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.226551338868493,"endHours":15.226551338868493,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.226551338868493,"endHours":16.226551338868493,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.226551338868493,"endHours":17.226551338868493,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.226551338868493,"endHours":18.226551338868493,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.226551338868493,"endHours":19.226551338868493,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.226551338868493,"endHours":20.226551338868493,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.226551338868493,"endHours":21.226551338868493,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.226551338868493,"endHours":22.226551338868493,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.226551338868493,"endHours":23.226551338868493,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.226551338868493,"endHours":24.226551338868493,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.226551338868493,"endHours":25.226551338868493,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.226551338868493,"endHours":26.226551338868493,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.226551338868493,"endHours":27.226551338868493,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.226551338868493,"endHours":28.226551338868493,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.226551338868493,"endHours":29.226551338868493,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.226551338868493,"endHours":30.226551338868493,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.226551338868493,"endHours":31.226551338868493,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","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":-23.332298335332254,"eotMinutes":3.716916827172506,"ayanamsa":24.5369}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"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 Ekādaśī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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_ingress":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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, 2048 CE · Puṣkar · Vidhyamitra","description":"December 16, 2048 CE for Puṣkar: Śukla Ekādaśī, sūryodaya 07:14, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2048-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2048-12-16","sa":"https://sa.vidhyamitra.com/city/pushkar/2048-12-16","hi":"https://hi.vidhyamitra.com/city/pushkar/2048-12-16","x-default":"https://vidhyamitra.com/city/pushkar/2048-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:59:25.661Z","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":"2026-05-31T09:59:25.661Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:59:25.661Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}