{"id":"vidhyamitra:day:-3115-10-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3115-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3115-10-20","date_display":"October 20, 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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583596.770833,"kali_year":-13,"ahargana":-4868.7292,"sun":{"sidereal_longitude":240.7025,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":288.0656,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.3631,"elapsed_within_tithi_degrees":11.3631},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.0656,"elapsed_within_degrees":8.0656},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.7682},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":583596.770833,"ahargana":-4868.7292,"kali_year":-13,"ayanamsa_lahiri":-47.589,"grahas":{"sun":{"sidereal_longitude":240.7025,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":288.0656,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-2.2549},"mars":{"sidereal_longitude":297.0574,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":238.618,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":303.0764,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":195.3566,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":206.8692,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":77.9687,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.9687,"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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583596.770833,"kali_year":-13,"ahargana":-4868.7292,"sun":{"sidereal_longitude":240.7025,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":288.0656,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.3631,"elapsed_within_tithi_degrees":11.3631},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.0656,"elapsed_within_degrees":8.0656},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.7682},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.255,"elongation":47.363},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.255,"opposition_distance":132.637}},"eclipse_window_40days":[{"offset_days":11,"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 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 Caturthī · Vikram -3058 undefined · Śaka -3193 undefined"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 October 20, 3116 BCE · Vidhyamitra","description":"Vedic pañchāṅga for October 20, 3116 BCE: Śukla Caturthī · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3115-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3115-10-20","sa":"https://sa.vidhyamitra.com/day/-3115-10-20","hi":"https://hi.vidhyamitra.com/day/-3115-10-20","x-default":"https://vidhyamitra.com/day/-3115-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T12:46:48.266Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-01T12:46:48.266Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}