{"id":"vidhyamitra:day:-3164-10-16:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3164-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-10-16","date_display":"October 16, 3165 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":-3164,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565695.770833,"kali_year":-62,"ahargana":-22769.7292,"sun":{"sidereal_longitude":237.2954,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":214.329,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.0336,"elapsed_within_tithi_degrees":1.0336},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.329,"elapsed_within_degrees":0.9957},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.6244},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":-3164,"month":10,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565695.770833,"ahargana":-22769.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2737,"grahas":{"sun":{"sidereal_longitude":237.2954,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":214.329,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-4.4969},"mars":{"sidereal_longitude":279.9419,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":235.1494,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":258.955,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":238.373,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":303.9185,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":306.4498,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.4498,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3164,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565695.770833,"kali_year":-62,"ahargana":-22769.7292,"sun":{"sidereal_longitude":237.2954,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":214.329,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.0336,"elapsed_within_tithi_degrees":1.0336},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.329,"elapsed_within_degrees":0.9957},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.6244},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":22.966},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":157.034}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturdaśī · Vikram -3107 undefined · Śaka -3242 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},{"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":"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":[]},"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 16, 3165 BCE · Vidhyamitra","description":"Vedic pañchāṅga for October 16, 3165 BCE: Kṛṣṇa Caturdaśī · Anurādhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3164-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3164-10-16","sa":"https://sa.vidhyamitra.com/day/-3164-10-16","hi":"https://hi.vidhyamitra.com/day/-3164-10-16","x-default":"https://vidhyamitra.com/day/-3164-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T09:04:39.576Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-19T09:04:39.576Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}