{"id":"vidhyamitra:day:2065-12-25:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2065-12-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-12-25","date_display":"December 25, 2065 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":2065,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475644.770833,"kali_year":5167,"ahargana":1887179.2708,"sun":{"sidereal_longitude":248.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":217.9188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.368,"elapsed_within_tithi_degrees":5.368},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.9188,"elapsed_within_degrees":4.5855},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4696},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2065,"month":12,"day":25,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475644.770833,"ahargana":1887179.2708,"kali_year":5167,"ayanamsa_lahiri":24.7747,"grahas":{"sun":{"sidereal_longitude":249.00772200000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":216.37552200000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-3.4579},"mars":{"sidereal_longitude":326.18472199999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":238.50762199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":215.08382200000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":248.17092200000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":121.81272200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":268.1605,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":88.1605,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"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":2065,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475644.770833,"kali_year":5167,"ahargana":1887179.2708,"sun":{"sidereal_longitude":248.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":217.9188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.368,"elapsed_within_tithi_degrees":5.368},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.9188,"elapsed_within_degrees":4.5855},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4696},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.458,"elongation":30.632},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.458,"opposition_distance":149.368}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2122,"vikram_samvatsara":"Vilambī","saka_samvat":1987,"saka_samvatsara":"Pārthiva","bengali_samvat":1472,"malayalam_era":1241,"nanakshahi_year":596,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2122 Vilambī · Śaka 1987 Pārthiva"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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,"valid_from":"2065-12-25T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 25, 2065 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 25, 2065 CE: Kṛṣṇa Trayodaśī · Anurādhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2065-12-25","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2065-12-25","sa":"https://sa.vidhyamitra.com/day/2065-12-25","hi":"https://hi.vidhyamitra.com/day/2065-12-25","x-default":"https://vidhyamitra.com/day/2065-12-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:14:01.068Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:14:01.068Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}