{"id":"vidhyamitra:day:1662-08-04:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1662-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1662-08-04","date_display":"August 4, 1662 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":1662,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328308.770833,"kali_year":4764,"ahargana":1739843.2708,"sun":{"sidereal_longitude":112.7613,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":344.3369,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.5757,"elapsed_within_tithi_degrees":3.5757},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.3369,"elapsed_within_degrees":11.0036},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.0982},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1662,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328308.770833,"ahargana":1739843.2708,"kali_year":4764,"ayanamsa_lahiri":19.1397,"grahas":{"sun":{"sidereal_longitude":112.53244000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":345.07614,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-0.7502},"mars":{"sidereal_longitude":161.35493999999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":141.03274,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":201.16204000000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":74.13044000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.32614,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":154.7308,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":334.7308,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"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":1662,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328308.770833,"kali_year":4764,"ahargana":1739843.2708,"sun":{"sidereal_longitude":112.7613,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":344.3369,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.5757,"elapsed_within_tithi_degrees":3.5757},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.3369,"elapsed_within_degrees":11.0036},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.0982},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.75,"elongation":128.424},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.75,"opposition_distance":51.576}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1719,"vikram_samvatsara":"Rākṣasa","saka_samvat":1584,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1069,"malayalam_era":838,"nanakshahi_year":193,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 1719 Rākṣasa · Śaka 1584 Śubhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1662-08-04T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 4, 1662 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 4, 1662 CE: Kṛṣṇa Pañcamī · Uttara Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1662-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1662-08-04","sa":"https://sa.vidhyamitra.com/day/1662-08-04","hi":"https://hi.vidhyamitra.com/day/1662-08-04","x-default":"https://vidhyamitra.com/day/1662-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T01:19:54.664Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-05T01:19:54.664Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}