{"id":"vidhyamitra:day:2069-08-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2069-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-08-21","date_display":"August 21, 2069 CE","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":2069,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476979.770833,"kali_year":5171,"ahargana":1888514.2708,"sun":{"sidereal_longitude":122.9745,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":173.078,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.1035,"elapsed_within_tithi_degrees":2.1035},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":173.078,"elapsed_within_degrees":13.078},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.0525},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2069,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476979.770833,"ahargana":1888514.2708,"kali_year":5171,"ayanamsa_lahiri":24.8258,"grahas":{"sun":{"sidereal_longitude":123.78321499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":171.00931500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-1.8536},"mars":{"sidereal_longitude":30.883815000000027,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":146.863515,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":324.9112150000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":163.03441499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":159.47521499999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":197.4258,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.4258,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2069,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476979.770833,"kali_year":5171,"ahargana":1888514.2708,"sun":{"sidereal_longitude":122.9745,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":173.078,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.1035,"elapsed_within_tithi_degrees":2.1035},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":173.078,"elapsed_within_degrees":13.078},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.0525},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.854,"elongation":50.104},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.854,"opposition_distance":129.896}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pañcamī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2069-08-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 21, 2069 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 21, 2069 CE: Śukla Pañcamī · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2069-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2069-08-21","sa":"https://sa.vidhyamitra.com/day/2069-08-21","hi":"https://hi.vidhyamitra.com/day/2069-08-21","x-default":"https://vidhyamitra.com/day/2069-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:31:37.761Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:31:37.761Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}