{"id":"vidhyamitra:day:1681-12-05:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1681-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1681-12-05","date_display":"December 5, 1681 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":1681,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2335371.770833,"kali_year":4783,"ahargana":1746906.2708,"sun":{"sidereal_longitude":234.5529,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":176.1435,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5906,"elapsed_within_tithi_degrees":1.5906},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.1435,"elapsed_within_degrees":2.8102},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6964},"karana":{"half_tithi_index":50,"name":"Bava"},"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":1681,"month":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2335371.770833,"ahargana":1746906.2708,"kali_year":4783,"ayanamsa_lahiri":19.4098,"grahas":{"sun":{"sidereal_longitude":234.22468200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":177.84538199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":2.6206},"mars":{"sidereal_longitude":271.2144820000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":259.07788200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":93.03648199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"venus":{"sidereal_longitude":205.91538200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":110.85398199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":140.4991,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.4991,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":1681,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2335371.770833,"kali_year":4783,"ahargana":1746906.2708,"sun":{"sidereal_longitude":234.5529,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":176.1435,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5906,"elapsed_within_tithi_degrees":1.5906},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.1435,"elapsed_within_degrees":2.8102},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6964},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.621,"elongation":58.409},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.621,"opposition_distance":121.591}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1738,"vikram_samvatsara":"Bhāva","saka_samvat":1603,"saka_samvatsara":"Durmati","bengali_samvat":1088,"malayalam_era":857,"nanakshahi_year":212,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Ekādaśī · Vikram 1738 Bhāva · Śaka 1603 Durmati"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"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}],"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":"1681-12-05T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 5, 1681 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 5, 1681 CE: Kṛṣṇa Ekādaśī · Citrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1681-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1681-12-05","sa":"https://sa.vidhyamitra.com/day/1681-12-05","hi":"https://hi.vidhyamitra.com/day/1681-12-05","x-default":"https://vidhyamitra.com/day/1681-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T22:51:54.533Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T22:51:54.533Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}