{"id":"vidhyamitra:city-day:pushkar:2039-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2039-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-16","date_display":"December 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466138.770833,"kali_year":5141,"ahargana":1877673.2708,"sun":{"sidereal_longitude":239.029,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":243.289,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.2601,"elapsed_within_tithi_degrees":4.2601},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.289,"elapsed_within_degrees":3.289},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.318},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466138.770833,"ahargana":1877673.2708,"kali_year":5141,"ayanamsa_lahiri":24.4112,"grahas":{"sun":{"sidereal_longitude":239.50722100000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":244.54792099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-0.8928},"mars":{"sidereal_longitude":83.26962100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":227.80382099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.10242100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":199.439521,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":165.73972100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.8341,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.8341,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466138.770833,"kali_year":5141,"ahargana":1877673.2708,"sun":{"sidereal_longitude":239.029,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":243.289,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.2601,"elapsed_within_tithi_degrees":4.2601},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.289,"elapsed_within_degrees":3.289},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.318},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.893,"elongation":4.26},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.893,"opposition_distance":175.74}},"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":10.48581696957072,"dayLengthDisplay":"10 Hours 29 Mins 09 Secs","nightLengthDisplay":"13 Hours 30 Mins 51 Secs","moonriseLocal":"07:35","moonsetLocal":"18:01","rahuKala":{"name":"Rāhu Kāla","start":"11:09","end":"12:28","startHours":11.15732426501745,"endHours":12.46805138621379,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:05","end":"16:24","startHours":15.08950562860647,"endHours":16.40023274980281,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:32","end":"09:51","startHours":8.53587002262477,"endHours":9.84659714382111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.6718335276616,"endHours":10.021360759980624,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.662051941827212,"endHours":7.9416737276824305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.118524153894766,"endHours":12.817578618532815,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.827033972152336,"endHours":6.526088436790383,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:14","startHours":6.351324820630872,"endHours":7.225142901428431,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.215687547808912,"endHours":14.91474201244696,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.51095987099915,"endHours":17.91095987099915,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.71095987099915,"endHours":18.147868911397932,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.46095987099915,"endHours":19.21095987099915,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.118524153894768,"endHours":24.817578618532814,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:14","end":"08:32","startHours":7.225142901428431,"endHours":8.53587002262477,"quality":"neutral"},{"name":"Labha","start":"08:32","end":"09:51","startHours":8.53587002262477,"endHours":9.84659714382111,"quality":"auspicious"},{"name":"Amṛta","start":"09:51","end":"11:09","startHours":9.84659714382111,"endHours":11.15732426501745,"quality":"auspicious"},{"name":"Kāla","start":"11:09","end":"12:28","startHours":11.15732426501745,"endHours":12.46805138621379,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:47","startHours":12.46805138621379,"endHours":13.77877850741013,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:05","startHours":13.77877850741013,"endHours":15.08950562860647,"quality":"inauspicious"},{"name":"Udveg","start":"15:05","end":"16:24","startHours":15.08950562860647,"endHours":16.40023274980281,"quality":"inauspicious"},{"name":"Chala","start":"16:24","end":"17:43","startHours":16.40023274980281,"endHours":17.71095987099915,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:43","end":"19:24","startHours":17.71095987099915,"endHours":19.40023274980281,"quality":"inauspicious"},{"name":"Udveg","start":"19:24","end":"21:05","startHours":19.40023274980281,"endHours":21.08950562860647,"quality":"inauspicious"},{"name":"Chala","start":"21:05","end":"22:47","startHours":21.08950562860647,"endHours":22.77877850741013,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:28","startHours":22.77877850741013,"endHours":24.46805138621379,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:09","startHours":24.46805138621379,"endHours":26.15732426501745,"quality":"auspicious"},{"name":"Kāla","start":"02:09","end":"03:51","startHours":26.15732426501745,"endHours":27.84659714382111,"quality":"inauspicious"},{"name":"Śubha","start":"03:51","end":"05:32","startHours":27.84659714382111,"endHours":29.53587002262477,"quality":"auspicious"},{"name":"Roga","start":"05:32","end":"07:14","startHours":29.53587002262477,"endHours":31.22514290142843,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.225142901428431,"endHours":8.22514290142843,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.22514290142843,"endHours":9.22514290142843,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.22514290142843,"endHours":10.22514290142843,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.22514290142843,"endHours":11.22514290142843,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.22514290142843,"endHours":12.22514290142843,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.22514290142843,"endHours":13.22514290142843,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.22514290142843,"endHours":14.22514290142843,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.22514290142843,"endHours":15.22514290142843,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.22514290142843,"endHours":16.22514290142843,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.22514290142843,"endHours":17.22514290142843,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.22514290142843,"endHours":18.22514290142843,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.22514290142843,"endHours":19.22514290142843,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.22514290142843,"endHours":20.22514290142843,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.22514290142843,"endHours":21.22514290142843,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.22514290142843,"endHours":22.22514290142843,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.22514290142843,"endHours":23.22514290142843,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.22514290142843,"endHours":24.22514290142843,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.22514290142843,"endHours":25.22514290142843,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.22514290142843,"endHours":26.22514290142843,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.22514290142843,"endHours":27.22514290142843,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.22514290142843,"endHours":28.22514290142843,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.22514290142843,"endHours":29.22514290142843,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.22514290142843,"endHours":30.22514290142843,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.22514290142843,"endHours":31.22514290142843,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.296789986452456,"eotMinutes":3.716916827172506,"ayanamsa":24.4112}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pratipada · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 2039 CE · Puṣkar · Vidhyamitra","description":"December 16, 2039 CE for Puṣkar: Śukla Pratipada, sūryodaya 07:14, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2039-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2039-12-16","sa":"https://sa.vidhyamitra.com/city/pushkar/2039-12-16","hi":"https://hi.vidhyamitra.com/city/pushkar/2039-12-16","x-default":"https://vidhyamitra.com/city/pushkar/2039-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:50:26.606Z","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":"2026-06-01T04:50:26.606Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:50:26.606Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}