{"id":"vidhyamitra:city-day:vrindavan:2039-08-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2039-08-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-08-17","date_display":"August 17, 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":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466017.770833,"kali_year":5141,"ahargana":1877552.2708,"sun":{"sidereal_longitude":118.9189,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":85.2908,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.3718,"elapsed_within_tithi_degrees":2.3718},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.2908,"elapsed_within_degrees":5.2908},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.2097},"karana":{"half_tithi_index":54,"name":"Gara"},"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":8,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466017.770833,"ahargana":1877552.2708,"kali_year":5141,"ayanamsa_lahiri":24.4065,"grahas":{"sun":{"sidereal_longitude":119.633644,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":86.82384400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":2.0445},"mars":{"sidereal_longitude":45.868244000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":105.54954399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":132.76944400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":106.23934400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":152.61754399999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":58.2453,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.2453,"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":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466017.770833,"kali_year":5141,"ahargana":1877552.2708,"sun":{"sidereal_longitude":118.9189,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":85.2908,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.3718,"elapsed_within_tithi_degrees":2.3718},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.2908,"elapsed_within_degrees":5.2908},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.2097},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.044,"elongation":33.628},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.044,"opposition_distance":146.372}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:50","sunsetLocal":"18:56","solarNoonLocal":"12:23","dayLengthHours":13.090426252326331,"dayLengthDisplay":"13 Hours 05 Mins 26 Secs","nightLengthDisplay":"10 Hours 54 Mins 34 Secs","moonriseLocal":"03:21","moonsetLocal":"17:03","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:01","startHours":12.385273025901967,"endHours":14.021576307442757,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"09:07","startHours":7.476363181279592,"endHours":9.112666462820384,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:23","startHours":10.748969744361176,"endHours":12.385273025901967,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.894492691948278,"endHours":9.33084023369249,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.385494326919065,"endHours":6.734572360314433,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.948925484157755,"endHours":12.821620567646178,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.094669732761957,"endHours":4.967364816250379,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.749191045378273,"endHours":5.840059899738801,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:26","startHours":14.567010734623022,"endHours":15.439705818111443,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.730486152065133,"endHours":19.13048615206513,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:29","startHours":18.930486152065132,"endHours":19.475920579245397,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.680486152065132,"endHours":20.430486152065132,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.948925484157755,"endHours":24.82162056764618,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:50","end":"07:29","startHours":5.840059899738801,"endHours":7.476363181279592,"quality":"auspicious"},{"name":"Amṛta","start":"07:29","end":"09:07","startHours":7.476363181279592,"endHours":9.112666462820384,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:45","startHours":9.112666462820384,"endHours":10.748969744361176,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:23","startHours":10.748969744361176,"endHours":12.385273025901967,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:01","startHours":12.385273025901967,"endHours":14.021576307442757,"quality":"inauspicious"},{"name":"Udveg","start":"14:01","end":"15:39","startHours":14.021576307442757,"endHours":15.65787958898355,"quality":"inauspicious"},{"name":"Chala","start":"15:39","end":"17:18","startHours":15.65787958898355,"endHours":17.29418287052434,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:56","startHours":17.29418287052434,"endHours":18.930486152065132,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:56","end":"20:18","startHours":18.930486152065132,"endHours":20.29418287052434,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:39","startHours":20.29418287052434,"endHours":21.657879588983548,"quality":"neutral"},{"name":"Labha","start":"21:39","end":"23:01","startHours":21.657879588983548,"endHours":23.021576307442757,"quality":"auspicious"},{"name":"Amṛta","start":"23:01","end":"00:23","startHours":23.021576307442757,"endHours":24.385273025901967,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:45","startHours":24.385273025901967,"endHours":25.748969744361176,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:07","startHours":25.748969744361176,"endHours":27.112666462820386,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:29","startHours":27.112666462820386,"endHours":28.47636318127959,"quality":"inauspicious"},{"name":"Udveg","start":"04:29","end":"05:50","startHours":28.47636318127959,"endHours":29.8400598997388,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.840059899738801,"endHours":6.840059899738801,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.840059899738801,"endHours":7.840059899738801,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.840059899738801,"endHours":8.840059899738801,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.840059899738801,"endHours":9.840059899738801,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.840059899738801,"endHours":10.840059899738801,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.840059899738801,"endHours":11.840059899738801,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.840059899738801,"endHours":12.840059899738801,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.840059899738801,"endHours":13.840059899738801,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.840059899738801,"endHours":14.840059899738801,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.840059899738801,"endHours":15.840059899738801,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.840059899738801,"endHours":16.8400598997388,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.8400598997388,"endHours":17.8400598997388,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.8400598997388,"endHours":18.8400598997388,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.8400598997388,"endHours":19.8400598997388,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.8400598997388,"endHours":20.8400598997388,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.8400598997388,"endHours":21.8400598997388,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.8400598997388,"endHours":22.8400598997388,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.8400598997388,"endHours":23.8400598997388,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.8400598997388,"endHours":24.8400598997388,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.8400598997388,"endHours":25.8400598997388,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.8400598997388,"endHours":26.8400598997388,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.8400598997388,"endHours":27.8400598997388,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.8400598997388,"endHours":28.8400598997388,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.8400598997388,"endHours":29.8400598997388,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.506505614838913,"eotMinutes":-3.7535815541179196,"ayanamsa":24.4065}},"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 Trayodaśī · 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":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 17, 2039 CE · Vṛndāvana · Vidhyamitra","description":"August 17, 2039 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:50, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2039-08-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2039-08-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2039-08-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2039-08-17","x-default":"https://vidhyamitra.com/city/vrindavan/2039-08-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:02:51.868Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-15T17:02:51.868Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:02:51.868Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}