{"id":"vidhyamitra:day:-3187-10-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3187-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-10-30","date_display":"October 30, 3188 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":-3187,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557308.770833,"kali_year":-85,"ahargana":-31156.7292,"sun":{"sidereal_longitude":251.6229,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.7099,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.087,"elapsed_within_tithi_degrees":10.087},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.7099,"elapsed_within_degrees":12.3766},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.3328},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3187,"month":10,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557308.770833,"ahargana":-31156.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5944,"grahas":{"sun":{"sidereal_longitude":251.6229,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":225.7099,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-1.1542},"mars":{"sidereal_longitude":233.6538,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":261.1996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":281.638,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":204.9139,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":30.1995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":30.8334,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":210.8334,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":-3187,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557308.770833,"kali_year":-85,"ahargana":-31156.7292,"sun":{"sidereal_longitude":251.6229,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.7099,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.087,"elapsed_within_tithi_degrees":10.087},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.7099,"elapsed_within_degrees":12.3766},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.3328},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.154,"elongation":25.913},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.154,"opposition_distance":154.087}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram -3130 undefined · Śaka -3265 undefined"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 30, 3188 BCE · Vidhyamitra","description":"Vedic pañchāṅga for October 30, 3188 BCE: Kṛṣṇa Trayodaśī · Anurādhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3187-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3187-10-30","sa":"https://sa.vidhyamitra.com/day/-3187-10-30","hi":"https://hi.vidhyamitra.com/day/-3187-10-30","x-default":"https://vidhyamitra.com/day/-3187-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T02:43:23.911Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T02:43:23.911Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}