{"id":"vidhyamitra:day:-3165-05-14:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3165-05-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-05-14","date_display":"May 14, 3166 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":-3165,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565174.770833,"kali_year":-63,"ahargana":-23290.7292,"sun":{"sidereal_longitude":84.2946,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":193.276,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.9814,"elapsed_within_tithi_degrees":0.9814},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":193.276,"elapsed_within_degrees":6.6093},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.5705},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3165,"month":5,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565174.770833,"ahargana":-23290.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2936,"grahas":{"sun":{"sidereal_longitude":84.2946,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":193.276,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-2.8437},"mars":{"sidereal_longitude":61.7521,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":87.7166,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":210.776,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":101.0985,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.168,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":334.0549,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.0549,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-3165,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565174.770833,"kali_year":-63,"ahargana":-23290.7292,"sun":{"sidereal_longitude":84.2946,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":193.276,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.9814,"elapsed_within_tithi_degrees":0.9814},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":193.276,"elapsed_within_degrees":6.6093},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.5705},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.844,"elongation":108.981},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.844,"opposition_distance":71.019}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Daśamī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 May 14, 3166 BCE · Vidhyamitra","description":"Vedic pañchāṅga for May 14, 3166 BCE: Śukla Daśamī · Svātī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3165-05-14","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3165-05-14","sa":"https://sa.vidhyamitra.com/day/-3165-05-14","hi":"https://hi.vidhyamitra.com/day/-3165-05-14","x-default":"https://vidhyamitra.com/day/-3165-05-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T18:54:22.180Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T18:54:22.180Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}