{"id":"vidhyamitra:day:2039-07-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2039-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-07-20","date_display":"July 20, 2039 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":2039,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465989.770833,"kali_year":5141,"ahargana":1877524.2708,"sun":{"sidereal_longitude":92.2808,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":77.4626,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.1819,"elapsed_within_tithi_degrees":9.1819},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.4626,"elapsed_within_degrees":10.796},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.7434},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2039,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465989.770833,"ahargana":1877524.2708,"kali_year":5141,"ayanamsa_lahiri":24.4055,"grahas":{"sun":{"sidereal_longitude":92.83301399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":78.346814,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":1.3694},"mars":{"sidereal_longitude":27.209014000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":86.31311399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":126.99311399999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":119.21941399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":149.87091399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":59.7289,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.7289,"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":2039,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465989.770833,"kali_year":5141,"ahargana":1877524.2708,"sun":{"sidereal_longitude":92.2808,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":77.4626,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.1819,"elapsed_within_tithi_degrees":9.1819},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.4626,"elapsed_within_degrees":10.796},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.7434},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.369,"elongation":14.818},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.369,"opposition_distance":165.182}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-1.456,"opposition_distance":0.34}]},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturdaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"2039-07-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 20, 2039 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 20, 2039 CE: Kṛṣṇa Caturdaśī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2039-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2039-07-20","sa":"https://sa.vidhyamitra.com/day/2039-07-20","hi":"https://hi.vidhyamitra.com/day/2039-07-20","x-default":"https://vidhyamitra.com/day/2039-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:39:09.826Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T19:39:09.826Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}