{"id":"vidhyamitra:city-day:vrindavan:2039-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2039-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-05-20","date_display":"May 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2039,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465928.770833,"kali_year":5141,"ahargana":1877463.2708,"sun":{"sidereal_longitude":34.3882,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":0.0454,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.6572,"elapsed_within_tithi_degrees":1.6572},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.0454,"elapsed_within_degrees":0.0454},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":34.4336},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2039,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465928.770833,"ahargana":1877463.2708,"kali_year":5141,"ayanamsa_lahiri":24.4031,"grahas":{"sun":{"sidereal_longitude":34.524144999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":1.4377450000000067,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.0057},"mars":{"sidereal_longitude":342.635045,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":37.22224499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":117.68834500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":78.95944499999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":147.39824499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":62.9609,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.9609,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2039,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465928.770833,"kali_year":5141,"ahargana":1877463.2708,"sun":{"sidereal_longitude":34.3882,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":0.0454,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.6572,"elapsed_within_tithi_degrees":1.6572},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.0454,"elapsed_within_degrees":0.0454},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":34.4336},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.006,"elongation":34.343},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.006,"opposition_distance":145.657}},"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":"05:28","sunsetLocal":"19:03","solarNoonLocal":"12:16","dayLengthHours":13.589646481142893,"dayLengthDisplay":"13 Hours 35 Mins 23 Secs","nightLengthDisplay":"10 Hours 24 Mins 37 Secs","moonriseLocal":"03:40","moonsetLocal":"16:27","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:16","startHours":10.564035639587384,"endHours":12.262741449730246,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:40","end":"17:22","startHours":15.66015307001597,"endHours":17.35885888015883,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:52","startHours":7.16662401930166,"endHours":8.865329829444523,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:06","startHours":8.638835721425474,"endHours":9.09182393746357,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.034153479206419,"endHours":6.396544052036896,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809753233692149,"endHours":12.715729665768343,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.655965345006413,"endHours":4.561941777082606,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.335447669063558,"endHours":5.467918209158799,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.527682529920728,"endHours":15.43365896199692,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.857564690301693,"endHours":19.25756469030169,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.057564690301692,"endHours":19.623799960349313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.807564690301692,"endHours":20.557564690301692,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80975323369215,"endHours":24.715729665768343,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:28","end":"07:10","startHours":5.467918209158799,"endHours":7.16662401930166,"quality":"neutral"},{"name":"Labha","start":"07:10","end":"08:52","startHours":7.16662401930166,"endHours":8.865329829444523,"quality":"auspicious"},{"name":"Amṛta","start":"08:52","end":"10:34","startHours":8.865329829444523,"endHours":10.564035639587384,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:16","startHours":10.564035639587384,"endHours":12.262741449730246,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.961447259873108,"quality":"auspicious"},{"name":"Roga","start":"13:58","end":"15:40","startHours":13.961447259873108,"endHours":15.66015307001597,"quality":"inauspicious"},{"name":"Udveg","start":"15:40","end":"17:22","startHours":15.66015307001597,"endHours":17.35885888015883,"quality":"inauspicious"},{"name":"Chala","start":"17:22","end":"19:03","startHours":17.35885888015883,"endHours":19.057564690301692,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:03","end":"20:22","startHours":19.057564690301692,"endHours":20.35885888015883,"quality":"inauspicious"},{"name":"Udveg","start":"20:22","end":"21:40","startHours":20.35885888015883,"endHours":21.66015307001597,"quality":"inauspicious"},{"name":"Chala","start":"21:40","end":"22:58","startHours":21.66015307001597,"endHours":22.961447259873108,"quality":"neutral"},{"name":"Labha","start":"22:58","end":"00:16","startHours":22.961447259873108,"endHours":24.262741449730246,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.564035639587384,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:52","startHours":25.564035639587384,"endHours":26.865329829444523,"quality":"inauspicious"},{"name":"Śubha","start":"02:52","end":"04:10","startHours":26.865329829444523,"endHours":28.16662401930166,"quality":"auspicious"},{"name":"Roga","start":"04:10","end":"05:28","startHours":28.16662401930166,"endHours":29.4679182091588,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.467918209158799,"endHours":6.467918209158799,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.467918209158799,"endHours":7.467918209158799,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.467918209158799,"endHours":8.4679182091588,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.4679182091588,"endHours":9.4679182091588,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.4679182091588,"endHours":10.4679182091588,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.4679182091588,"endHours":11.4679182091588,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.4679182091588,"endHours":12.4679182091588,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.4679182091588,"endHours":13.4679182091588,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.4679182091588,"endHours":14.4679182091588,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.4679182091588,"endHours":15.4679182091588,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.4679182091588,"endHours":16.4679182091588,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.4679182091588,"endHours":17.4679182091588,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.4679182091588,"endHours":18.4679182091588,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.4679182091588,"endHours":19.4679182091588,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.4679182091588,"endHours":20.4679182091588,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.4679182091588,"endHours":21.4679182091588,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.4679182091588,"endHours":22.4679182091588,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.4679182091588,"endHours":23.4679182091588,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.4679182091588,"endHours":24.4679182091588,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.4679182091588,"endHours":25.4679182091588,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.4679182091588,"endHours":26.4679182091588,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.4679182091588,"endHours":27.4679182091588,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.4679182091588,"endHours":28.4679182091588,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.4679182091588,"endHours":29.4679182091588,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.917264661041287,"eotMinutes":3.5983130161851964,"ayanamsa":24.4031}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"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":"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śukravāra (Friday) — 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 May 20, 2039 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2039 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:28, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2039-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2039-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2039-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2039-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2039-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T04:27:55.529Z","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":"2026-09-22T04:27:55.529Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T04:27:55.529Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}