{"id":"vidhyamitra:city-day:vrindavan:2138-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2138-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-05-20","date_display":"May 20, 2138 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":2138,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502087.770833,"kali_year":5240,"ahargana":1913622.2708,"sun":{"sidereal_longitude":32.8411,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":156.1519,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.3108,"elapsed_within_tithi_degrees":3.3108},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":156.1519,"elapsed_within_degrees":9.4852},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.9929},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2138,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502087.770833,"ahargana":1913622.2708,"kali_year":5240,"ayanamsa_lahiri":25.7861,"grahas":{"sun":{"sidereal_longitude":33.20140500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":156.01340500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-2.1846},"mars":{"sidereal_longitude":131.008105,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":39.94880499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":249.82530500000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"venus":{"sidereal_longitude":70.129505,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":278.90290500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.0831,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.0831,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2138,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502087.770833,"kali_year":5240,"ahargana":1913622.2708,"sun":{"sidereal_longitude":32.8411,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":156.1519,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.3108,"elapsed_within_tithi_degrees":3.3108},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":156.1519,"elapsed_within_degrees":9.4852},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.9929},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.185,"elongation":123.311},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.185,"opposition_distance":56.689}},"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":13.590715855380353,"dayLengthDisplay":"13 Hours 35 Mins 27 Secs","nightLengthDisplay":"10 Hours 24 Mins 33 Secs","moonriseLocal":"14:26","moonsetLocal":"02:28","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:22","startHours":15.660420413575334,"endHours":17.35925989549788,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:34","startHours":8.865062485885158,"endHours":10.563901967807702,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.96158093165279,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.638550554962151,"endHours":9.091574416808164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.033663349347584,"endHours":6.3960824388243935,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809717587884235,"endHours":12.715765311576257,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.655288074656023,"endHours":4.561335798348046,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.33482386742504,"endHours":5.46738352204007,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.527860758960305,"endHours":15.433908482652328,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.858099377420423,"endHours":19.25809937742042,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.058099377420422,"endHours":19.624379204727937,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.808099377420422,"endHours":20.558099377420422,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809717587884233,"endHours":24.71576531157626,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:28","end":"07:10","startHours":5.46738352204007,"endHours":7.166223003962614,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:52","startHours":7.166223003962614,"endHours":8.865062485885158,"quality":"inauspicious"},{"name":"Chala","start":"08:52","end":"10:34","startHours":8.865062485885158,"endHours":10.563901967807702,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:16","startHours":10.563901967807702,"endHours":12.262741449730246,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.96158093165279,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:40","startHours":13.96158093165279,"endHours":15.660420413575334,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:22","startHours":15.660420413575334,"endHours":17.35925989549788,"quality":"auspicious"},{"name":"Roga","start":"17:22","end":"19:03","startHours":17.35925989549788,"endHours":19.058099377420422,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:22","startHours":19.058099377420422,"endHours":20.35925989549788,"quality":"inauspicious"},{"name":"Śubha","start":"20:22","end":"21:40","startHours":20.35925989549788,"endHours":21.660420413575334,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"22:58","startHours":21.660420413575334,"endHours":22.96158093165279,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:16","startHours":22.96158093165279,"endHours":24.262741449730246,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.563901967807702,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:52","startHours":25.563901967807702,"endHours":26.865062485885158,"quality":"auspicious"},{"name":"Amṛta","start":"02:52","end":"04:10","startHours":26.865062485885158,"endHours":28.166223003962614,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:28","startHours":28.166223003962614,"endHours":29.46738352204007,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.46738352204007,"endHours":6.46738352204007,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.46738352204007,"endHours":7.46738352204007,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.46738352204007,"endHours":8.46738352204007,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.46738352204007,"endHours":9.46738352204007,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.46738352204007,"endHours":10.46738352204007,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.46738352204007,"endHours":11.46738352204007,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.46738352204007,"endHours":12.46738352204007,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.46738352204007,"endHours":13.46738352204007,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.46738352204007,"endHours":14.46738352204007,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.46738352204007,"endHours":15.46738352204007,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.46738352204007,"endHours":16.46738352204007,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46738352204007,"endHours":17.46738352204007,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46738352204007,"endHours":18.46738352204007,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46738352204007,"endHours":19.46738352204007,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46738352204007,"endHours":20.46738352204007,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46738352204007,"endHours":21.46738352204007,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46738352204007,"endHours":22.46738352204007,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46738352204007,"endHours":23.46738352204007,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46738352204007,"endHours":24.46738352204007,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46738352204007,"endHours":25.46738352204007,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46738352204007,"endHours":26.46738352204007,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46738352204007,"endHours":27.46738352204007,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46738352204007,"endHours":28.46738352204007,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46738352204007,"endHours":29.46738352204007,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.930410891535608,"eotMinutes":3.5983130161851964,"ayanamsa":25.7861}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ekādaśī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"mohini-ekadashi","name":"Mohinī Ekādaśī","name_sanskrit":"मोहिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (Mohinī form)","significance":"Mohinī-form of Viṣṇu deceived asuras during samudra-mathana for amṛta.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3,"sources":["Bhāgavata 8.9"]},{"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":"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 May 20, 2138 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2138 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:28, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2138-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2138-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2138-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2138-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2138-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:43:28.870Z","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":"2026-05-31T09:43:28.870Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:43:28.870Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}