{"id":"vidhyamitra:day:-0504-07-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-0504-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-07-31","date_display":"July 31, 505 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-504,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537183.770833,"kali_year":2598,"ahargana":948718.2708,"sun":{"sidereal_longitude":137.1898,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":1.5376,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.3478,"elapsed_within_tithi_degrees":8.3478},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.5376,"elapsed_within_degrees":1.5376},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.7274},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":-504,"month":7,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537183.770833,"ahargana":948718.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1179,"grahas":{"sun":{"sidereal_longitude":137.1898,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":1.5376,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":3.4048},"mars":{"sidereal_longitude":25.0371,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":159.5783,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":1.3818,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":110.2651,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":47.3394,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":312.3405,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.3405,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-504,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537183.770833,"kali_year":2598,"ahargana":948718.2708,"sun":{"sidereal_longitude":137.1898,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":1.5376,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.3478,"elapsed_within_tithi_degrees":8.3478},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.5376,"elapsed_within_degrees":1.5376},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.7274},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.405,"elongation":135.652},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.405,"opposition_distance":44.348}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":1.215,"elongation":1.272}]},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Caturthī · Vikram -447 undefined · Śaka -582 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"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":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; 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 July 31, 505 BCE · Vidhyamitra","description":"Vedic pañchāṅga for July 31, 505 BCE: Kṛṣṇa Caturthī · Aśvinī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-0504-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-0504-07-31","sa":"https://sa.vidhyamitra.com/day/-0504-07-31","hi":"https://hi.vidhyamitra.com/day/-0504-07-31","x-default":"https://vidhyamitra.com/day/-0504-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T17:45:59.464Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-09-07T17:45:59.464Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}