{"id":"vidhyamitra:day:-3115-11-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3115-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3115-11-13","date_display":"November 13, 3116 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":-3115,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583620.770833,"kali_year":-13,"ahargana":-4844.7292,"sun":{"sidereal_longitude":265.3669,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":245.5325,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.1656,"elapsed_within_tithi_degrees":4.1656},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.5325,"elapsed_within_degrees":5.5325},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.8994},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3115,"month":11,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":583620.770833,"ahargana":-4844.7292,"kali_year":-13,"ayanamsa_lahiri":-47.5881,"grahas":{"sun":{"sidereal_longitude":265.3669,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":245.5325,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":0.8705},"mars":{"sidereal_longitude":315.0218,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":278.8159,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":307.5882,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.2241,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":209.0921,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":76.6971,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":256.6971,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":-3115,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583620.770833,"kali_year":-13,"ahargana":-4844.7292,"sun":{"sidereal_longitude":265.3669,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":245.5325,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.1656,"elapsed_within_tithi_degrees":4.1656},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.5325,"elapsed_within_degrees":5.5325},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.8994},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.87,"elongation":19.834},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.87,"opposition_distance":160.166}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-0.51,"opposition_distance":1.128}]},"calendars":{"vikram_samvat":-3058,"saka_samvat":-3193,"bengali_samvat":-3708,"malayalam_era":-3939,"nanakshahi_year":-4584,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa 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 Kṛṣṇa Caturdaśī · Vikram -3058 undefined · Śaka -3193 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga November 13, 3116 BCE · Vidhyamitra","description":"Vedic pañchāṅga for November 13, 3116 BCE: Kṛṣṇa Caturdaśī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3115-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3115-11-13","sa":"https://sa.vidhyamitra.com/day/-3115-11-13","hi":"https://hi.vidhyamitra.com/day/-3115-11-13","x-default":"https://vidhyamitra.com/day/-3115-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T18:15:29.249Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T18:15:29.249Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}