{"id":"vidhyamitra:day:2105-12-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2105-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2105-12-13","date_display":"December 13, 2105 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":2105,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490241.770833,"kali_year":5207,"ahargana":1901776.2708,"sun":{"sidereal_longitude":234.8473,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":310.259,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.4117,"elapsed_within_tithi_degrees":3.4117},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.259,"elapsed_within_degrees":3.5924},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.1063},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2105,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490241.770833,"ahargana":1901776.2708,"kali_year":5207,"ayanamsa_lahiri":25.333,"grahas":{"sun":{"sidereal_longitude":235.51750900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":306.888409,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":4.4791},"mars":{"sidereal_longitude":131.018209,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":223.61440900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":332.998109,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":234.08830899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":240.18320900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":214.7412,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.7412,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2105,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490241.770833,"kali_year":5207,"ahargana":1901776.2708,"sun":{"sidereal_longitude":234.8473,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":310.259,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.4117,"elapsed_within_tithi_degrees":3.4117},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.259,"elapsed_within_degrees":3.5924},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.1063},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.479,"elongation":75.412},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.479,"opposition_distance":104.588}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2162,"vikram_samvatsara":"Bahudhānya","saka_samvat":2027,"saka_samvatsara":"Krodhana","bengali_samvat":1512,"malayalam_era":1281,"nanakshahi_year":636,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2162 Bahudhānya · Śaka 2027 Krodhana"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2105-12-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 13, 2105 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 13, 2105 CE: Śukla Saptamī · Śatabhiṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2105-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2105-12-13","sa":"https://sa.vidhyamitra.com/day/2105-12-13","hi":"https://hi.vidhyamitra.com/day/2105-12-13","x-default":"https://vidhyamitra.com/day/2105-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:41:42.551Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T18:41:42.551Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}