{"id":"vidhyamitra:city-day:vrindavan:2180-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2180-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2180-05-20","date_display":"May 20, 2180 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":2180,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517428.770833,"kali_year":5282,"ahargana":1928963.2708,"sun":{"sidereal_longitude":32.9676,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":341.1571,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.1895,"elapsed_within_tithi_degrees":8.1895},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.1571,"elapsed_within_degrees":7.8238},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.1248},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2180,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517428.770833,"ahargana":1928963.2708,"kali_year":5282,"ayanamsa_lahiri":26.3728,"grahas":{"sun":{"sidereal_longitude":33.427366000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":343.800166,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":3.5966},"mars":{"sidereal_longitude":330.25016600000004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":29.698566000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":79.27956599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":354.487166,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":66.63656600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":214.2431,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.2431,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2180,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517428.770833,"kali_year":5282,"ahargana":1928963.2708,"sun":{"sidereal_longitude":32.9676,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":341.1571,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.1895,"elapsed_within_tithi_degrees":8.1895},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.1571,"elapsed_within_degrees":7.8238},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.1248},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.597,"elongation":51.811},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.597,"opposition_distance":128.189}},"eclipse_window_40days":[{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":1.493,"opposition_distance":1.542}]},"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":13.604983547487047,"dayLengthDisplay":"13 Hours 36 Mins 18 Secs","nightLengthDisplay":"10 Hours 23 Mins 42 Secs","moonriseLocal":"02:46","moonsetLocal":"15:08","rahuKala":{"name":"Rāhu Kāla","start":"08:52","end":"10:34","startHours":8.861495562858483,"endHours":10.562118506294365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:58","end":"15:40","startHours":13.963364393166126,"endHours":15.663987336602007,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:10","startHours":5.460249675986722,"endHours":7.1608726194226024,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.634745837067033,"endHours":9.088245288649935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:23","startHours":6.027123990465348,"endHours":6.38992355173167,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809241998147344,"endHours":12.716240901313148,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.6462518696551154,"endHours":4.553250772820919,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.326501047029468,"endHours":5.460249675986722,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.530238707644752,"endHours":15.437237610810556,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.86523322347377,"endHours":19.265233223473768,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.06523322347377,"endHours":19.632107537952397,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.81523322347377,"endHours":20.56523322347377,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809241998147346,"endHours":24.716240901313146,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:10","startHours":5.460249675986722,"endHours":7.1608726194226024,"quality":"inauspicious"},{"name":"Śubha","start":"07:10","end":"08:52","startHours":7.1608726194226024,"endHours":8.861495562858483,"quality":"auspicious"},{"name":"Roga","start":"08:52","end":"10:34","startHours":8.861495562858483,"endHours":10.562118506294365,"quality":"inauspicious"},{"name":"Udveg","start":"10:34","end":"12:16","startHours":10.562118506294365,"endHours":12.262741449730246,"quality":"inauspicious"},{"name":"Chala","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.963364393166126,"quality":"neutral"},{"name":"Labha","start":"13:58","end":"15:40","startHours":13.963364393166126,"endHours":15.663987336602007,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:22","startHours":15.663987336602007,"endHours":17.364610280037887,"quality":"auspicious"},{"name":"Kāla","start":"17:22","end":"19:04","startHours":17.364610280037887,"endHours":19.06523322347377,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:04","end":"20:22","startHours":19.06523322347377,"endHours":20.364610280037887,"quality":"auspicious"},{"name":"Amṛta","start":"20:22","end":"21:40","startHours":20.364610280037887,"endHours":21.663987336602005,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"22:58","startHours":21.663987336602005,"endHours":22.963364393166124,"quality":"inauspicious"},{"name":"Śubha","start":"22:58","end":"00:16","startHours":22.963364393166124,"endHours":24.262741449730246,"quality":"auspicious"},{"name":"Roga","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.562118506294365,"quality":"inauspicious"},{"name":"Udveg","start":"01:34","end":"02:52","startHours":25.562118506294365,"endHours":26.861495562858483,"quality":"inauspicious"},{"name":"Chala","start":"02:52","end":"04:10","startHours":26.861495562858483,"endHours":28.160872619422605,"quality":"neutral"},{"name":"Labha","start":"04:10","end":"05:28","startHours":28.160872619422605,"endHours":29.460249675986724,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.460249675986722,"endHours":6.460249675986722,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.460249675986722,"endHours":7.460249675986722,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.460249675986722,"endHours":8.460249675986722,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.460249675986722,"endHours":9.460249675986722,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.460249675986722,"endHours":10.460249675986722,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.460249675986722,"endHours":11.460249675986722,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.460249675986722,"endHours":12.460249675986722,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.460249675986722,"endHours":13.460249675986722,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.460249675986722,"endHours":14.460249675986722,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.460249675986722,"endHours":15.460249675986722,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.460249675986722,"endHours":16.460249675986724,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.460249675986724,"endHours":17.460249675986724,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.460249675986724,"endHours":18.460249675986724,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.460249675986724,"endHours":19.460249675986724,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.460249675986724,"endHours":20.460249675986724,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.460249675986724,"endHours":21.460249675986724,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.460249675986724,"endHours":22.460249675986724,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.460249675986724,"endHours":23.460249675986724,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.460249675986724,"endHours":24.460249675986724,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.460249675986724,"endHours":25.460249675986724,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.460249675986724,"endHours":26.460249675986724,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.460249675986724,"endHours":27.460249675986724,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.460249675986724,"endHours":28.460249675986724,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.460249675986724,"endHours":29.460249675986724,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.105553946626788,"eotMinutes":3.5983130161851964,"ayanamsa":26.3728}},"calendars":{"vikram_samvat":2237,"vikram_samvatsara":"Vijaya","saka_samvat":2102,"saka_samvatsara":"Vikrama","bengali_samvat":1587,"malayalam_era":1356,"nanakshahi_year":711,"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 Ekādaśī · Vikram 2237 Vijaya · Śaka 2102 Vikrama"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2180 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2180 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 05:28, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2180-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2180-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2180-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2180-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2180-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:08:26.866Z","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":"2026-05-31T19:08:26.866Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:08:26.866Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}