{"id":"vidhyamitra:day:-3111-10-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3111-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-10-13","date_display":"October 13, 3112 BCE","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":-3111,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585050.770833,"kali_year":-9,"ahargana":-3414.7292,"sun":{"sidereal_longitude":233.4884,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.4013,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9129,"elapsed_within_tithi_degrees":3.9129},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.4013,"elapsed_within_degrees":9.4013},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.8897},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3111,"month":10,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585050.770833,"ahargana":-3414.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5334,"grahas":{"sun":{"sidereal_longitude":233.4884,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":9.4013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":0.6623},"mars":{"sidereal_longitude":339.7011,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":226.5915,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":87.6376,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":256.8383,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":243.8923,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":0.9288,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.9288,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585050.770833,"kali_year":-9,"ahargana":-3414.7292,"sun":{"sidereal_longitude":233.4884,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.4013,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9129,"elapsed_within_tithi_degrees":3.9129},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.4013,"elapsed_within_degrees":9.4013},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.8897},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.662,"elongation":135.913},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.662,"opposition_distance":44.087}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram -3054 undefined · Śaka -3189 undefined"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 13, 3112 BCE · Vidhyamitra","description":"Vedic pañchāṅga for October 13, 3112 BCE: Śukla Dvādaśī · Aśvinī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3111-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3111-10-13","sa":"https://sa.vidhyamitra.com/day/-3111-10-13","hi":"https://hi.vidhyamitra.com/day/-3111-10-13","x-default":"https://vidhyamitra.com/day/-3111-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T23:57:11.690Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-18T23:57:11.690Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}