{"id":"vidhyamitra:city-day:pushkar:2039-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2039-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-31","date_display":"December 31, 2039 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":2039,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466153.770833,"kali_year":5141,"ahargana":1877688.2708,"sun":{"sidereal_longitude":254.4383,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.3573,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.919,"elapsed_within_tithi_degrees":6.919},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.3573,"elapsed_within_degrees":1.3573},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7956},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2039,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466153.770833,"ahargana":1877688.2708,"kali_year":5141,"ayanamsa_lahiri":24.4117,"grahas":{"sun":{"sidereal_longitude":254.78294800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":80.33794799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":2.2699},"mars":{"sidereal_longitude":77.82684799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":251.27294800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":156.21304799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":217.605548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":166.486848,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.0393,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.0393,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2039,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466153.770833,"kali_year":5141,"ahargana":1877688.2708,"sun":{"sidereal_longitude":254.4383,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.3573,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.919,"elapsed_within_tithi_degrees":6.919},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.3573,"elapsed_within_degrees":1.3573},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7956},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.27,"elongation":173.081},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.27,"opposition_distance":6.919}},"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":"07:20","sunsetLocal":"17:50","solarNoonLocal":"12:35","dayLengthHours":10.49999492134855,"dayLengthDisplay":"10 Hours 30 Mins 00 Secs","nightLengthDisplay":"13 Hours 30 Mins 00 Secs","moonriseLocal":"18:06","moonsetLocal":"07:48","rahuKala":{"name":"Rāhu Kāla","start":"09:58","end":"11:16","startHours":9.959271851726285,"endHours":11.271771216894853,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:13","startHours":13.896769947231991,"endHours":15.20926931240056,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:20","end":"08:39","startHours":7.334273121389147,"endHours":8.646772486557715,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:47","end":"10:08","startHours":9.784271936370477,"endHours":10.134271767082094,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:46","end":"08:03","startHours":7.7717729097786705,"endHours":8.051772774347965,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"12:56","startHours":12.234270751351803,"endHours":12.93427041277504,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:56","end":"06:38","startHours":5.934273798542674,"endHours":6.634273459965911,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:20","startHours":6.4592735446101015,"endHours":7.334273121389147,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:02","startHours":14.334269735621515,"endHours":15.034269397044751,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.6342680427377,"endHours":18.034268042737697,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.834268042737698,"endHours":18.27176783112722,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.584268042737698,"endHours":19.334268042737698,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"00:56","startHours":24.234270751351804,"endHours":24.93427041277504,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:20","end":"08:39","startHours":7.334273121389147,"endHours":8.646772486557715,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"09:58","startHours":8.646772486557715,"endHours":9.959271851726285,"quality":"auspicious"},{"name":"Roga","start":"09:58","end":"11:16","startHours":9.959271851726285,"endHours":11.271771216894853,"quality":"inauspicious"},{"name":"Udveg","start":"11:16","end":"12:35","startHours":11.271771216894853,"endHours":12.584270582063422,"quality":"inauspicious"},{"name":"Chala","start":"12:35","end":"13:54","startHours":12.584270582063422,"endHours":13.896769947231991,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:13","startHours":13.896769947231991,"endHours":15.20926931240056,"quality":"auspicious"},{"name":"Amṛta","start":"15:13","end":"16:31","startHours":15.20926931240056,"endHours":16.521768677569128,"quality":"auspicious"},{"name":"Kāla","start":"16:31","end":"17:50","startHours":16.521768677569128,"endHours":17.834268042737698,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:31","startHours":17.834268042737698,"endHours":19.521768677569128,"quality":"auspicious"},{"name":"Amṛta","start":"19:31","end":"21:13","startHours":19.521768677569128,"endHours":21.20926931240056,"quality":"auspicious"},{"name":"Kāla","start":"21:13","end":"22:54","startHours":21.20926931240056,"endHours":22.89676994723199,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:35","startHours":22.89676994723199,"endHours":24.58427058206342,"quality":"auspicious"},{"name":"Roga","start":"00:35","end":"02:16","startHours":24.58427058206342,"endHours":26.271771216894855,"quality":"inauspicious"},{"name":"Udveg","start":"02:16","end":"03:58","startHours":26.271771216894855,"endHours":27.959271851726285,"quality":"inauspicious"},{"name":"Chala","start":"03:58","end":"05:39","startHours":27.959271851726285,"endHours":29.646772486557715,"quality":"neutral"},{"name":"Labha","start":"05:39","end":"07:20","startHours":29.646772486557715,"endHours":31.334273121389145,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:20","end":"08:20","startHours":7.334273121389147,"endHours":8.334273121389147,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:20","end":"09:20","startHours":8.334273121389147,"endHours":9.334273121389147,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:20","end":"10:20","startHours":9.334273121389147,"endHours":10.334273121389147,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:20","end":"11:20","startHours":10.334273121389147,"endHours":11.334273121389147,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:20","end":"12:20","startHours":11.334273121389147,"endHours":12.334273121389147,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:20","end":"13:20","startHours":12.334273121389147,"endHours":13.334273121389147,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:20","end":"14:20","startHours":13.334273121389147,"endHours":14.334273121389147,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:20","end":"15:20","startHours":14.334273121389147,"endHours":15.334273121389147,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:20","end":"16:20","startHours":15.334273121389147,"endHours":16.334273121389145,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:20","end":"17:20","startHours":16.334273121389145,"endHours":17.334273121389145,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:20","end":"18:20","startHours":17.334273121389145,"endHours":18.334273121389145,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:20","end":"19:20","startHours":18.334273121389145,"endHours":19.334273121389145,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:20","end":"20:20","startHours":19.334273121389145,"endHours":20.334273121389145,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:20","end":"21:20","startHours":20.334273121389145,"endHours":21.334273121389145,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:20","end":"22:20","startHours":21.334273121389145,"endHours":22.334273121389145,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:20","end":"23:20","startHours":22.334273121389145,"endHours":23.334273121389145,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:20","end":"00:20","startHours":23.334273121389145,"endHours":24.334273121389145,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:20","end":"01:20","startHours":24.334273121389145,"endHours":25.334273121389145,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:20","end":"02:20","startHours":25.334273121389145,"endHours":26.334273121389145,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:20","end":"03:20","startHours":26.334273121389145,"endHours":27.334273121389145,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:20","end":"04:20","startHours":27.334273121389145,"endHours":28.334273121389145,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:20","end":"05:20","startHours":28.334273121389145,"endHours":29.334273121389145,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:20","end":"06:20","startHours":29.334273121389145,"endHours":30.334273121389145,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:20","end":"07:20","startHours":30.334273121389145,"endHours":31.334273121389145,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.117751227242938,"eotMinutes":-3.2562349238053434,"ayanamsa":24.4117}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 31, 2039 CE · Puṣkar · Vidhyamitra","description":"December 31, 2039 CE for Puṣkar: Kṛṣṇa Pratipada, sūryodaya 07:20, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2039-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2039-12-31","sa":"https://sa.vidhyamitra.com/city/pushkar/2039-12-31","hi":"https://hi.vidhyamitra.com/city/pushkar/2039-12-31","x-default":"https://vidhyamitra.com/city/pushkar/2039-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:57:03.642Z","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":"2026-05-15T16:57:03.642Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:57:03.642Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}