{"id":"vidhyamitra:day:-3146-08-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3146-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-08-20","date_display":"August 20, 3147 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":-3146,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572212.770833,"kali_year":-44,"ahargana":-16252.7292,"sun":{"sidereal_longitude":178.9483,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":52.3653,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.4169,"elapsed_within_tithi_degrees":5.4169},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.3653,"elapsed_within_degrees":12.3653},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.3136},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":-3146,"month":8,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572212.770833,"ahargana":-16252.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0244,"grahas":{"sun":{"sidereal_longitude":178.9483,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":52.3653,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.499},"mars":{"sidereal_longitude":144.8111,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":163.8189,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":104.968,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":204.8169,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":184.4712,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":321.1478,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.1478,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva 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":-3146,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572212.770833,"kali_year":-44,"ahargana":-16252.7292,"sun":{"sidereal_longitude":178.9483,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":52.3653,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.4169,"elapsed_within_tithi_degrees":5.4169},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.3653,"elapsed_within_degrees":12.3653},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.3136},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":126.583},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":53.417}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Pañcamī · Vikram -3089 undefined · Śaka -3224 undefined"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 20, 3147 BCE · Vidhyamitra","description":"Vedic pañchāṅga for August 20, 3147 BCE: Kṛṣṇa Pañcamī · Rohiṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3146-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3146-08-20","sa":"https://sa.vidhyamitra.com/day/-3146-08-20","hi":"https://hi.vidhyamitra.com/day/-3146-08-20","x-default":"https://vidhyamitra.com/day/-3146-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T16:24:12.504Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-27T16:24:12.504Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}