{"id":"vidhyamitra:day:1686-12-24:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1686-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1686-12-24","date_display":"December 24, 1686 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":1686,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2337216.770833,"kali_year":4788,"ahargana":1748751.2708,"sun":{"sidereal_longitude":253.7608,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":6.544,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.7831,"elapsed_within_tithi_degrees":4.7831},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.544,"elapsed_within_degrees":6.544},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3048},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":1686,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2337216.770833,"ahargana":1748751.2708,"kali_year":4788,"ayanamsa_lahiri":19.4804,"grahas":{"sun":{"sidereal_longitude":253.28548899999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":8.337489000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-2.6558},"mars":{"sidereal_longitude":205.23568899999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":276.54558900000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":235.24048900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":247.68028900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":176.58718899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.7421,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.7421,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1686,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2337216.770833,"kali_year":4788,"ahargana":1748751.2708,"sun":{"sidereal_longitude":253.7608,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":6.544,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.7831,"elapsed_within_tithi_degrees":4.7831},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.544,"elapsed_within_degrees":6.544},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3048},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.656,"elongation":112.783},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.656,"opposition_distance":67.217}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1743,"vikram_samvatsara":"Pramāthi","saka_samvat":1608,"saka_samvatsara":"Akṣaya","bengali_samvat":1093,"malayalam_era":862,"nanakshahi_year":217,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 1743 Pramāthi · Śaka 1608 Akṣaya"},"festivals":[],"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":"1686-12-24T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 24, 1686 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 24, 1686 CE: Śukla Daśamī · Aśvinī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1686-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1686-12-24","sa":"https://sa.vidhyamitra.com/day/1686-12-24","hi":"https://hi.vidhyamitra.com/day/1686-12-24","x-default":"https://vidhyamitra.com/day/1686-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:47:01.664Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T09:47:01.664Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}