{"id":"vidhyamitra:day:-3173-08-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3173-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-08-31","date_display":"August 31, 3174 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":-3173,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562361.770833,"kali_year":-71,"ahargana":-26103.7292,"sun":{"sidereal_longitude":189.9122,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":203.8798,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.9676,"elapsed_within_tithi_degrees":1.9676},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.8798,"elapsed_within_degrees":3.8798},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.792},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3173,"month":8,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562361.770833,"ahargana":-26103.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4012,"grahas":{"sun":{"sidereal_longitude":189.9122,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":203.8798,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":4.4417},"mars":{"sidereal_longitude":5.3898,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":173.629,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":347.313,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":232.3272,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":210.3187,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":123.1012,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":303.1012,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":-3173,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562361.770833,"kali_year":-71,"ahargana":-26103.7292,"sun":{"sidereal_longitude":189.9122,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":203.8798,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.9676,"elapsed_within_tithi_degrees":1.9676},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.8798,"elapsed_within_degrees":3.8798},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.792},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.442,"elongation":13.968},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.442,"opposition_distance":166.032}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Dvitīyā · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[{"id":"bhai-dooj","name":"Bhāi Dūja / Bhrātṛ Dvitīyā","name_sanskrit":"भ्रातृ द्वितीया","tradition":"Pan-Hindu","associated_deity":"Yama + Yamunā (sister-brother)","significance":"Yamunā's reception of brother Yama; sisters welcome brothers. Day 5 of Diwali.","vrata":true,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":3},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 31, 3174 BCE · Vidhyamitra","description":"Vedic pañchāṅga for August 31, 3174 BCE: Śukla Dvitīyā · Viśākhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3173-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3173-08-31","sa":"https://sa.vidhyamitra.com/day/-3173-08-31","hi":"https://hi.vidhyamitra.com/day/-3173-08-31","x-default":"https://vidhyamitra.com/day/-3173-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T16:21:49.813Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-16T16:21:49.813Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}