{"id":"vidhyamitra:city-day:vrindavan:2039-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2039-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-08-16","date_display":"August 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466016.770833,"kali_year":5141,"ahargana":1877551.2708,"sun":{"sidereal_longitude":117.963,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.0864,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.1235,"elapsed_within_tithi_degrees":3.1235},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":73.0864,"elapsed_within_degrees":6.4198},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.0494},"karana":{"half_tithi_index":52,"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":2039,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466016.770833,"ahargana":1877551.2708,"kali_year":5141,"ayanamsa_lahiri":24.4065,"grahas":{"sun":{"sidereal_longitude":118.67268200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":74.718482,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":1.1475},"mars":{"sidereal_longitude":45.229881999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":103.72428200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":132.55558199999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":106.75488200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":152.507882,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":58.2983,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.2983,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466016.770833,"kali_year":5141,"ahargana":1877551.2708,"sun":{"sidereal_longitude":117.963,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.0864,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.1235,"elapsed_within_tithi_degrees":3.1235},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":73.0864,"elapsed_within_degrees":6.4198},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.0494},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.148,"elongation":44.877},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.148,"opposition_distance":135.123}},"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":"18:57","solarNoonLocal":"12:23","dayLengthHours":13.114171848115319,"dayLengthDisplay":"13 Hours 06 Mins 51 Secs","nightLengthDisplay":"10 Hours 53 Mins 09 Secs","moonriseLocal":"02:33","moonsetLocal":"16:22","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:18","startHours":15.667420555314369,"endHours":17.306692036328784,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:45","startHours":9.110334631256709,"endHours":10.749606112271124,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:02","startHours":12.388877593285539,"endHours":14.028149074299954,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.891765100454787,"endHours":9.328904162058631,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.378215496232683,"endHours":6.7279267455157585,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.951738531681695,"endHours":12.826016654889383,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:57","startHours":4.0832354228125025,"endHours":4.9575135460201905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:50","startHours":4.7389440152182685,"endHours":5.831791669227878,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.574572901304759,"endHours":15.448851024512447,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.7459635173432,"endHours":19.145963517343198,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:30","startHours":18.9459635173432,"endHours":19.492387344348003,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.6959635173432,"endHours":20.4459635173432,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.951738531681695,"endHours":24.826016654889383,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:50","end":"07:28","startHours":5.831791669227878,"endHours":7.471063150242293,"quality":"inauspicious"},{"name":"Udveg","start":"07:28","end":"09:07","startHours":7.471063150242293,"endHours":9.110334631256709,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:45","startHours":9.110334631256709,"endHours":10.749606112271124,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:23","startHours":10.749606112271124,"endHours":12.388877593285539,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:02","startHours":12.388877593285539,"endHours":14.028149074299954,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:40","startHours":14.028149074299954,"endHours":15.667420555314369,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:18","startHours":15.667420555314369,"endHours":17.306692036328784,"quality":"auspicious"},{"name":"Roga","start":"17:18","end":"18:57","startHours":17.306692036328784,"endHours":18.9459635173432,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:57","end":"20:18","startHours":18.9459635173432,"endHours":20.306692036328784,"quality":"inauspicious"},{"name":"Śubha","start":"20:18","end":"21:40","startHours":20.306692036328784,"endHours":21.66742055531437,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"23:02","startHours":21.66742055531437,"endHours":23.028149074299954,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:23","startHours":23.028149074299954,"endHours":24.38887759328554,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:45","startHours":24.38887759328554,"endHours":25.749606112271124,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:07","startHours":25.749606112271124,"endHours":27.11033463125671,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:28","startHours":27.11033463125671,"endHours":28.471063150242294,"quality":"auspicious"},{"name":"Kāla","start":"04:28","end":"05:50","startHours":28.471063150242294,"endHours":29.83179166922788,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.831791669227878,"endHours":6.831791669227878,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.831791669227878,"endHours":7.831791669227878,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.831791669227878,"endHours":8.83179166922788,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.83179166922788,"endHours":9.83179166922788,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.83179166922788,"endHours":10.83179166922788,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.83179166922788,"endHours":11.83179166922788,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.83179166922788,"endHours":12.83179166922788,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.83179166922788,"endHours":13.83179166922788,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.83179166922788,"endHours":14.83179166922788,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.83179166922788,"endHours":15.83179166922788,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.83179166922788,"endHours":16.83179166922788,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83179166922788,"endHours":17.83179166922788,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83179166922788,"endHours":18.83179166922788,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83179166922788,"endHours":19.83179166922788,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83179166922788,"endHours":20.83179166922788,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83179166922788,"endHours":21.83179166922788,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83179166922788,"endHours":22.83179166922788,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83179166922788,"endHours":23.83179166922788,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83179166922788,"endHours":24.83179166922788,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83179166922788,"endHours":25.83179166922788,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83179166922788,"endHours":26.83179166922788,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83179166922788,"endHours":27.83179166922788,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83179166922788,"endHours":28.83179166922788,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83179166922788,"endHours":29.83179166922788,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North","anandadiYoga":{"name":"Padma","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":13.82293429909587,"eotMinutes":-3.969855597132357,"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 Dvādaśī · 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}],"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":[]},"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 16, 2039 CE · Vṛndāvana · Vidhyamitra","description":"August 16, 2039 CE for Vṛndāvana: Kṛṣṇa Dvādaśī, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2039-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2039-08-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2039-08-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2039-08-16","x-default":"https://vidhyamitra.com/city/vrindavan/2039-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T11:51:38.123Z","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":"2026-05-15T11:51:38.123Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T11:51:38.123Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}