{"id":"vidhyamitra:day:-0511-05-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-0511-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-05-31","date_display":"May 31, 512 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":-511,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534565.770833,"kali_year":2591,"ahargana":946100.2708,"sun":{"sidereal_longitude":78.8615,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":63.7818,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.9203,"elapsed_within_tithi_degrees":8.9203},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.7818,"elapsed_within_degrees":10.4484},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.6432},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":-511,"month":5,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534565.770833,"ahargana":946100.2708,"kali_year":2591,"ayanamsa_lahiri":-11.218,"grahas":{"sun":{"sidereal_longitude":78.8615,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":63.7818,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false,"latitude":-2.0604},"mars":{"sidereal_longitude":70.8989,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":55.3489,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":126.4909,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":123.2218,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":313.2272,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":91.0547,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":271.0547,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534565.770833,"kali_year":2591,"ahargana":946100.2708,"sun":{"sidereal_longitude":78.8615,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":63.7818,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.9203,"elapsed_within_tithi_degrees":8.9203},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.7818,"elapsed_within_degrees":10.4484},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.6432},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.06,"elongation":15.08},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.06,"opposition_distance":164.92}},"eclipse_window_40days":[{"offset_days":1,"type":"solar","occurs":true,"moon_latitude":-1.083,"elongation":2.745},{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":-0.304,"opposition_distance":1.072}]},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram -454 undefined · Śaka -589 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},{"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 May 31, 512 BCE · Vidhyamitra","description":"Vedic pañchāṅga for May 31, 512 BCE: Kṛṣṇa Caturdaśī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-0511-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-0511-05-31","sa":"https://sa.vidhyamitra.com/day/-0511-05-31","hi":"https://hi.vidhyamitra.com/day/-0511-05-31","x-default":"https://vidhyamitra.com/day/-0511-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T08:35:13.126Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-18T08:35:13.126Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}