{"id":"vidhyamitra:city-day:vrindavan:2140-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2140-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2140-05-13","date_display":"May 13, 2140 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":2140,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502811.770833,"kali_year":5242,"ahargana":1914346.2708,"sun":{"sidereal_longitude":26.5926,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":337.8683,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.2757,"elapsed_within_tithi_degrees":11.2757},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8683,"elapsed_within_degrees":4.535},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.4609},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2140,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502811.770833,"ahargana":1914346.2708,"kali_year":5242,"ayanamsa_lahiri":25.8138,"grahas":{"sun":{"sidereal_longitude":26.91714300000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":335.531943,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":4.2047},"mars":{"sidereal_longitude":158.58994299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":44.53014300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":315.59214299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":6.637342999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":301.73984300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":268.7221,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":88.7221,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2140,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502811.770833,"kali_year":5242,"ahargana":1914346.2708,"sun":{"sidereal_longitude":26.5926,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":337.8683,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.2757,"elapsed_within_tithi_degrees":11.2757},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8683,"elapsed_within_degrees":4.535},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.4609},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.205,"elongation":48.724},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.205,"opposition_distance":131.276}},"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":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.471794664031266,"dayLengthDisplay":"13 Hours 28 Mins 18 Secs","nightLengthDisplay":"10 Hours 31 Mins 42 Secs","moonriseLocal":"02:46","moonsetLocal":"14:54","rahuKala":{"name":"Rāhu Kāla","start":"10:35","end":"12:16","startHours":10.576181687936817,"endHours":12.260156020940727,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:19","startHours":15.628104686948543,"endHours":17.31207901995245,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:12","end":"08:54","startHours":7.208233021929001,"endHours":8.892207354932909,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.66767744386572,"endHours":9.116737266000097,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.085583466593063,"endHours":6.444831324300563,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.811096198806352,"endHours":12.709215843075102,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7280194003875904,"endHours":4.626139044656341,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.401609133589154,"endHours":5.524258688925093,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.505455131612605,"endHours":15.403574775881356,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.79605335295636,"endHours":19.19605335295636,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.99605335295636,"endHours":19.55737813062433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.74605335295636,"endHours":20.49605335295636,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81109619880635,"endHours":24.709215843075103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:31","end":"07:12","startHours":5.524258688925093,"endHours":7.208233021929001,"quality":"neutral"},{"name":"Labha","start":"07:12","end":"08:54","startHours":7.208233021929001,"endHours":8.892207354932909,"quality":"auspicious"},{"name":"Amṛta","start":"08:54","end":"10:35","startHours":8.892207354932909,"endHours":10.576181687936817,"quality":"auspicious"},{"name":"Kāla","start":"10:35","end":"12:16","startHours":10.576181687936817,"endHours":12.260156020940727,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.944130353944635,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"15:38","startHours":13.944130353944635,"endHours":15.628104686948543,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:19","startHours":15.628104686948543,"endHours":17.31207901995245,"quality":"inauspicious"},{"name":"Chala","start":"17:19","end":"19:00","startHours":17.31207901995245,"endHours":18.99605335295636,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:00","end":"20:19","startHours":18.99605335295636,"endHours":20.31207901995245,"quality":"inauspicious"},{"name":"Udveg","start":"20:19","end":"21:38","startHours":20.31207901995245,"endHours":21.628104686948543,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:57","startHours":21.628104686948543,"endHours":22.944130353944633,"quality":"neutral"},{"name":"Labha","start":"22:57","end":"00:16","startHours":22.944130353944633,"endHours":24.260156020940727,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.576181687936817,"quality":"auspicious"},{"name":"Kāla","start":"01:35","end":"02:54","startHours":25.576181687936817,"endHours":26.892207354932907,"quality":"inauspicious"},{"name":"Śubha","start":"02:54","end":"04:12","startHours":26.892207354932907,"endHours":28.208233021929,"quality":"auspicious"},{"name":"Roga","start":"04:12","end":"05:31","startHours":28.208233021929,"endHours":29.524258688925094,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.524258688925093,"endHours":6.524258688925093,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.524258688925093,"endHours":7.524258688925093,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.524258688925093,"endHours":8.524258688925093,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.524258688925093,"endHours":9.524258688925093,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.524258688925093,"endHours":10.524258688925093,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.524258688925093,"endHours":11.524258688925093,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.524258688925093,"endHours":12.524258688925093,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.524258688925093,"endHours":13.524258688925093,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.524258688925093,"endHours":14.524258688925093,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.524258688925093,"endHours":15.524258688925093,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.524258688925093,"endHours":16.524258688925094,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.524258688925094,"endHours":17.524258688925094,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.524258688925094,"endHours":18.524258688925094,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.524258688925094,"endHours":19.524258688925094,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.524258688925094,"endHours":20.524258688925094,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.524258688925094,"endHours":21.524258688925094,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.524258688925094,"endHours":22.524258688925094,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.524258688925094,"endHours":23.524258688925094,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.524258688925094,"endHours":24.524258688925094,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.524258688925094,"endHours":25.524258688925094,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.524258688925094,"endHours":26.524258688925094,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.524258688925094,"endHours":27.524258688925094,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.524258688925094,"endHours":28.524258688925094,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.524258688925094,"endHours":29.524258688925094,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.452342177050454,"eotMinutes":3.7534387435564067,"ayanamsa":25.8138}},"calendars":{"vikram_samvat":2197,"vikram_samvatsara":"Pramādī","saka_samvat":2062,"saka_samvatsara":"Śārvarī","bengali_samvat":1547,"malayalam_era":1316,"nanakshahi_year":671,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 2197 Pramādī · Śaka 2062 Śārvarī"},"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":"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":"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 13, 2140 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2140 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2140-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2140-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2140-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2140-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2140-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:09:34.187Z","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":"2026-05-31T10:09:34.187Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:09:34.187Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}