{"id":"vidhyamitra:day:-0528-07-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-0528-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0528-07-21","date_display":"July 21, 529 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":-528,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528407.770833,"kali_year":2574,"ahargana":939942.2708,"sun":{"sidereal_longitude":127.7617,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":296.0866,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.3249,"elapsed_within_tithi_degrees":0.3249},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.0866,"elapsed_within_degrees":2.7532},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.8482},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-528,"month":7,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1528407.770833,"ahargana":939942.2708,"kali_year":2574,"ayanamsa_lahiri":-11.4535,"grahas":{"sun":{"sidereal_longitude":127.7617,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":296.0866,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-3.8461},"mars":{"sidereal_longitude":99.0943,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":135.1212,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":352.9664,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":96.7169,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":118.648,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":57.3352,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":237.3352,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-528,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528407.770833,"kali_year":2574,"ahargana":939942.2708,"sun":{"sidereal_longitude":127.7617,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":296.0866,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.3249,"elapsed_within_tithi_degrees":0.3249},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.0866,"elapsed_within_degrees":2.7532},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.8482},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.846,"elongation":168.325},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.846,"opposition_distance":11.675}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-471,"saka_samvat":-606,"bengali_samvat":-1121,"malayalam_era":-1352,"nanakshahi_year":-1997,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pūrṇimā · Vikram -471 undefined · Śaka -606 undefined"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 July 21, 529 BCE · Vidhyamitra","description":"Vedic pañchāṅga for July 21, 529 BCE: Śukla Pūrṇimā · Dhaniṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-0528-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-0528-07-21","sa":"https://sa.vidhyamitra.com/day/-0528-07-21","hi":"https://hi.vidhyamitra.com/day/-0528-07-21","x-default":"https://vidhyamitra.com/day/-0528-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:26:14.875Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T12:26:14.875Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}