{"id":"vidhyamitra:day:2039-12-17:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2039-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-17","date_display":"December 17, 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":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466139.770833,"kali_year":5141,"ahargana":1877674.2708,"sun":{"sidereal_longitude":240.055,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":257.8073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7523,"elapsed_within_tithi_degrees":5.7523},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":257.8073,"elapsed_within_degrees":4.474},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.8624},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466139.770833,"ahargana":1877674.2708,"kali_year":5141,"ayanamsa_lahiri":24.4112,"grahas":{"sun":{"sidereal_longitude":240.52468299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":259.788283,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.9729},"mars":{"sidereal_longitude":82.96238299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":229.34578299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.19588299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":200.64218300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.80068300000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.7811,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.7811,"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":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466139.770833,"kali_year":5141,"ahargana":1877674.2708,"sun":{"sidereal_longitude":240.055,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":257.8073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7523,"elapsed_within_tithi_degrees":5.7523},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":257.8073,"elapsed_within_degrees":4.474},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.8624},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.973,"elongation":17.752},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.973,"opposition_distance":162.248}},"eclipse_window_40days":[]},"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 Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · 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":[]},"validity":{"eternal":false,"valid_from":"2039-12-17T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 17, 2039 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 17, 2039 CE: Śukla Dvitīyā · Pūrva Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2039-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2039-12-17","sa":"https://sa.vidhyamitra.com/day/2039-12-17","hi":"https://hi.vidhyamitra.com/day/2039-12-17","x-default":"https://vidhyamitra.com/day/2039-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:47:39.621Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T13:47:39.621Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}