{"id":"vidhyamitra:city-day:vrindavan:2026-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2026-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-05-20","date_display":"May 20, 2026 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":2026,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461180.770833,"kali_year":5128,"ahargana":1872715.2708,"sun":{"sidereal_longitude":34.7362,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":77.2014,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4652,"elapsed_within_tithi_degrees":6.4652},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.2014,"elapsed_within_degrees":10.5347},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.9375},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2026,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461180.770833,"ahargana":1872715.2708,"kali_year":5128,"ayanamsa_lahiri":24.2215,"grahas":{"sun":{"sidereal_longitude":34.84385299999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":80.219853,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":3.787},"mars":{"sidereal_longitude":6.214652999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":41.01725299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":87.49945300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":66.620453,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":347.00755300000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":314.5328,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.5328,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":"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":2026,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461180.770833,"kali_year":5128,"ahargana":1872715.2708,"sun":{"sidereal_longitude":34.7362,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":77.2014,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4652,"elapsed_within_tithi_degrees":6.4652},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.2014,"elapsed_within_degrees":10.5347},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.9375},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.787,"elongation":42.465},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.787,"opposition_distance":137.535}},"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":"19:04","solarNoonLocal":"12:16","dayLengthHours":13.592095030215608,"dayLengthDisplay":"13 Hours 35 Mins 32 Secs","nightLengthDisplay":"10 Hours 24 Mins 28 Secs","moonriseLocal":"08:24","moonsetLocal":"22:11","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.961753328507198,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:52","startHours":7.165705813399394,"endHours":8.864717692176345,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:16","startHours":10.563729570953296,"endHours":12.262741449730246,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.638182775006085,"endHours":9.091252609346604,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.0330312275480935,"endHours":6.39548709502051,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809671615389727,"endHours":12.715811284070766,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.6544145972603617,"endHours":4.560554265941402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.334019348771142,"endHours":5.466693934622443,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.528090621432849,"endHours":15.43423029011389,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.858788964838052,"endHours":19.25878896483805,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.05878896483805,"endHours":19.6251262577637,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.80878896483805,"endHours":20.55878896483805,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809671615389725,"endHours":24.715811284070767,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:28","end":"07:10","startHours":5.466693934622443,"endHours":7.165705813399394,"quality":"auspicious"},{"name":"Amṛta","start":"07:10","end":"08:52","startHours":7.165705813399394,"endHours":8.864717692176345,"quality":"auspicious"},{"name":"Kāla","start":"08:52","end":"10:34","startHours":8.864717692176345,"endHours":10.563729570953296,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:16","startHours":10.563729570953296,"endHours":12.262741449730246,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.961753328507198,"quality":"inauspicious"},{"name":"Udveg","start":"13:58","end":"15:40","startHours":13.961753328507198,"endHours":15.660765207284149,"quality":"inauspicious"},{"name":"Chala","start":"15:40","end":"17:22","startHours":15.660765207284149,"endHours":17.3597770860611,"quality":"neutral"},{"name":"Labha","start":"17:22","end":"19:04","startHours":17.3597770860611,"endHours":19.05878896483805,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:04","end":"20:22","startHours":19.05878896483805,"endHours":20.3597770860611,"quality":"inauspicious"},{"name":"Chala","start":"20:22","end":"21:40","startHours":20.3597770860611,"endHours":21.66076520728415,"quality":"neutral"},{"name":"Labha","start":"21:40","end":"22:58","startHours":21.66076520728415,"endHours":22.9617533285072,"quality":"auspicious"},{"name":"Amṛta","start":"22:58","end":"00:16","startHours":22.9617533285072,"endHours":24.262741449730246,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.563729570953296,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:52","startHours":25.563729570953296,"endHours":26.864717692176345,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"04:10","startHours":26.864717692176345,"endHours":28.16570581339939,"quality":"inauspicious"},{"name":"Udveg","start":"04:10","end":"05:28","startHours":28.16570581339939,"endHours":29.46669393462244,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.466693934622443,"endHours":6.466693934622443,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.466693934622443,"endHours":7.466693934622443,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.466693934622443,"endHours":8.466693934622443,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.466693934622443,"endHours":9.466693934622443,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.466693934622443,"endHours":10.466693934622443,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.466693934622443,"endHours":11.466693934622443,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.466693934622443,"endHours":12.466693934622443,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.466693934622443,"endHours":13.466693934622443,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.466693934622443,"endHours":14.466693934622443,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.466693934622443,"endHours":15.466693934622443,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.466693934622443,"endHours":16.46669393462244,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46669393462244,"endHours":17.46669393462244,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46669393462244,"endHours":18.46669393462244,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46669393462244,"endHours":19.46669393462244,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46669393462244,"endHours":20.46669393462244,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46669393462244,"endHours":21.46669393462244,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46669393462244,"endHours":22.46669393462244,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46669393462244,"endHours":23.46669393462244,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46669393462244,"endHours":24.46669393462244,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46669393462244,"endHours":25.46669393462244,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46669393462244,"endHours":26.46669393462244,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46669393462244,"endHours":27.46669393462244,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46669393462244,"endHours":28.46669393462244,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46669393462244,"endHours":29.46669393462244,"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"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.94736168704582,"eotMinutes":3.5983130161851964,"ayanamsa":24.2215}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturthī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"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 May 20, 2026 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2026 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:28, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2026-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2026-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2026-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2026-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2026-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:10:54.064Z","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":"2026-05-14T17:10:54.064Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:10:54.064Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}