{"id":"vidhyamitra:city-day:vrindavan:2039-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/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}]},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.654472115568325,"dayLengthDisplay":"13 Hours 39 Mins 16 Secs","nightLengthDisplay":"10 Hours 20 Mins 44 Secs","moonriseLocal":"04:34","moonsetLocal":"18:21","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.422617020252623,"endHours":14.129426034698664,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:18","end":"09:01","startHours":7.302189976914502,"endHours":9.008998991360542,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:25","startHours":10.715808005806583,"endHours":12.422617020252623,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.781424456101071,"endHours":9.236573526620013,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.1643173006171414,"endHours":6.528436557032297,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.96746794973368,"endHours":12.877766090771567,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.7747846803926843,"endHours":4.685082821430573,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:36","startHours":4.457508286171101,"endHours":5.595380962468461,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.698362372847344,"endHours":15.608660513885232,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.049853078036787,"endHours":19.449853078036785,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.249853078036786,"endHours":19.818789416185467,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.999853078036786,"endHours":20.749853078036786,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.967467949733678,"endHours":24.87776609077157,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:18","startHours":5.595380962468461,"endHours":7.302189976914502,"quality":"auspicious"},{"name":"Amṛta","start":"07:18","end":"09:01","startHours":7.302189976914502,"endHours":9.008998991360542,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:43","startHours":9.008998991360542,"endHours":10.715808005806583,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:25","startHours":10.715808005806583,"endHours":12.422617020252623,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.422617020252623,"endHours":14.129426034698664,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:50","startHours":14.129426034698664,"endHours":15.836235049144705,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:33","startHours":15.836235049144705,"endHours":17.543044063590745,"quality":"neutral"},{"name":"Labha","start":"17:33","end":"19:15","startHours":17.543044063590745,"endHours":19.249853078036786,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:33","startHours":19.249853078036786,"endHours":20.543044063590745,"quality":"inauspicious"},{"name":"Chala","start":"20:33","end":"21:50","startHours":20.543044063590745,"endHours":21.836235049144705,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:08","startHours":21.836235049144705,"endHours":23.129426034698664,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.129426034698664,"endHours":24.422617020252623,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:43","startHours":24.422617020252623,"endHours":25.715808005806583,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:01","startHours":25.715808005806583,"endHours":27.008998991360542,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:18","startHours":27.008998991360542,"endHours":28.3021899769145,"quality":"inauspicious"},{"name":"Udveg","start":"04:18","end":"05:36","startHours":28.3021899769145,"endHours":29.59538096246846,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.595380962468461,"endHours":6.595380962468461,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.595380962468461,"endHours":7.595380962468461,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.595380962468461,"endHours":8.595380962468461,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.595380962468461,"endHours":9.595380962468461,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.595380962468461,"endHours":10.595380962468461,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.595380962468461,"endHours":11.595380962468461,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.595380962468461,"endHours":12.595380962468461,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.595380962468461,"endHours":13.595380962468461,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.595380962468461,"endHours":14.595380962468461,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.595380962468461,"endHours":15.595380962468461,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.595380962468461,"endHours":16.59538096246846,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.59538096246846,"endHours":17.59538096246846,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.59538096246846,"endHours":18.59538096246846,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.59538096246846,"endHours":19.59538096246846,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.59538096246846,"endHours":20.59538096246846,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.59538096246846,"endHours":21.59538096246846,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.59538096246846,"endHours":22.59538096246846,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.59538096246846,"endHours":23.59538096246846,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.59538096246846,"endHours":24.59538096246846,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.59538096246846,"endHours":25.59538096246846,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.59538096246846,"endHours":26.59538096246846,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.59538096246846,"endHours":27.59538096246846,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.59538096246846,"endHours":28.59538096246846,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.59538096246846,"endHours":29.59538096246846,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.709348995702737,"eotMinutes":-5.99422121515736,"ayanamsa":24.4055}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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":"Śrāvaṇa Kṛṣṇa Caturdaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"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,"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 July 20, 2039 CE · Vṛndāvana · Vidhyamitra","description":"July 20, 2039 CE for Vṛndāvana: Kṛṣṇa Caturdaśī, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2039-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2039-07-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2039-07-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2039-07-20","x-default":"https://vidhyamitra.com/city/vrindavan/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":"2026-06-02T08:16:36.047Z","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":"2026-06-02T08:16:36.047Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:16:36.047Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}