{"id":"vidhyamitra:day:2140-12-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2140-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2140-12-20","date_display":"December 20, 2140 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":2140,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503032.770833,"kali_year":5242,"ahargana":1914567.2708,"sun":{"sidereal_longitude":241.9699,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":10.4534,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.4835,"elapsed_within_tithi_degrees":8.4835},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.4534,"elapsed_within_degrees":10.4534},"yoga":{"number":19,"name":"Parigha","sum_longitude":252.4233},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2140,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503032.770833,"ahargana":1914567.2708,"kali_year":5242,"ayanamsa_lahiri":25.8222,"grahas":{"sun":{"sidereal_longitude":242.66229899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":8.333598999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":4.1279},"mars":{"sidereal_longitude":282.44989899999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.20169899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":313.76249899999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":226.36339899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":298.07229899999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":257.0124,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":77.0124,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"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":2140,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503032.770833,"kali_year":5242,"ahargana":1914567.2708,"sun":{"sidereal_longitude":241.9699,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":10.4534,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.4835,"elapsed_within_tithi_degrees":8.4835},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.4534,"elapsed_within_degrees":10.4534},"yoga":{"number":19,"name":"Parigha","sum_longitude":252.4233},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.128,"elongation":128.483},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.128,"opposition_distance":51.517}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":0.673,"opposition_distance":2.113},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":0.235,"elongation":2.5}]},"calendars":{"vikram_samvat":2197,"vikram_samvatsara":"Pramādī","saka_samvat":2062,"saka_samvatsara":"Śārvarī","bengali_samvat":1547,"malayalam_era":1316,"nanakshahi_year":671,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ekādaśī · Vikram 2197 Pramādī · Śaka 2062 Śārvarī"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"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":"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":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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,"valid_from":"2140-12-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 20, 2140 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 20, 2140 CE: Śukla Ekādaśī · Aśvinī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2140-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2140-12-20","sa":"https://sa.vidhyamitra.com/day/2140-12-20","hi":"https://hi.vidhyamitra.com/day/2140-12-20","x-default":"https://vidhyamitra.com/day/2140-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T06:00:08.701Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-18T06:00:08.701Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}