{"id":"vidhyamitra:day:1665-08-04:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1665-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1665-08-04","date_display":"August 4, 1665 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":1665,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2329404.770833,"kali_year":4767,"ahargana":1740939.2708,"sun":{"sidereal_longitude":112.9746,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":25.082,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.1074,"elapsed_within_tithi_degrees":8.1074},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.082,"elapsed_within_degrees":11.7486},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.0566},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1665,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2329404.770833,"ahargana":1740939.2708,"kali_year":4767,"ayanamsa_lahiri":19.1816,"grahas":{"sun":{"sidereal_longitude":112.75406499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":21.28296499999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-4.2689},"mars":{"sidereal_longitude":82.945965,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":109.113565,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":303.53176499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":80.30226500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":259.066465,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":96.6594,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":276.6594,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1665,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2329404.770833,"kali_year":4767,"ahargana":1740939.2708,"sun":{"sidereal_longitude":112.9746,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":25.082,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.1074,"elapsed_within_tithi_degrees":8.1074},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.082,"elapsed_within_degrees":11.7486},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.0566},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.269,"elongation":87.893},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.269,"opposition_distance":92.107}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-0.765,"opposition_distance":1.523}]},"calendars":{"vikram_samvat":1722,"vikram_samvatsara":"Kālayukta","saka_samvat":1587,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1072,"malayalam_era":841,"nanakshahi_year":196,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Kṛṣṇa Aṣṭamī · Vikram 1722 Kālayukta · Śaka 1587 Viśvāvasu"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1665-08-04T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 4, 1665 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 4, 1665 CE: Kṛṣṇa Aṣṭamī · Bharaṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1665-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1665-08-04","sa":"https://sa.vidhyamitra.com/day/1665-08-04","hi":"https://hi.vidhyamitra.com/day/1665-08-04","x-default":"https://vidhyamitra.com/day/1665-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T00:29:10.043Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-05T00:29:10.043Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}