{"id":"vidhyamitra:city-day:vrindavan:2020-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2020-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-05-13","date_display":"May 13, 2020 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":2020,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458982.770833,"kali_year":5122,"ahargana":1870517.2708,"sun":{"sidereal_longitude":28.5609,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":279.202,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.641,"elapsed_within_tithi_degrees":10.641},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.202,"elapsed_within_degrees":12.5353},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.7629},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2020,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458982.770833,"ahargana":1870517.2708,"kali_year":5122,"ayanamsa_lahiri":24.1375,"grahas":{"sun":{"sidereal_longitude":28.614733,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":280.862033,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-2.1254},"mars":{"sidereal_longitude":305.507333,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":37.911932999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":273.10183299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":57.509232999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":277.787633,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":70.9934,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.9934,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":2020,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458982.770833,"kali_year":5122,"ahargana":1870517.2708,"sun":{"sidereal_longitude":28.5609,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":279.202,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.641,"elapsed_within_tithi_degrees":10.641},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.202,"elapsed_within_degrees":12.5353},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.7629},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.125,"elongation":109.359},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.125,"opposition_distance":70.641}},"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":13.47222482728941,"dayLengthDisplay":"13 Hours 28 Mins 20 Secs","nightLengthDisplay":"10 Hours 31 Mins 40 Secs","moonriseLocal":"23:43","moonsetLocal":"10:26","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.944184124351903,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:54","startHours":7.208071710707198,"endHours":8.892099814118374,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:16","startHours":10.57612791752955,"endHours":12.260156020940727,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.667562733663551,"endHours":9.116636894573197,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.085386308433081,"endHours":6.444645637160798,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.811081860031079,"endHours":12.709230181850375,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7277469636574345,"endHours":4.625895285476728,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.4013582050219044,"endHours":5.524043607296022,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.505526825488962,"endHours":15.403675147308256,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.796268434585432,"endHours":19.19626843458543,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.99626843458543,"endHours":19.55761113572249,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.74626843458543,"endHours":20.49626843458543,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81108186003108,"endHours":24.709230181850373,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:31","end":"07:12","startHours":5.524043607296022,"endHours":7.208071710707198,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:54","startHours":7.208071710707198,"endHours":8.892099814118374,"quality":"auspicious"},{"name":"Kāla","start":"08:54","end":"10:35","startHours":8.892099814118374,"endHours":10.57612791752955,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:16","startHours":10.57612791752955,"endHours":12.260156020940727,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.944184124351903,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:38","startHours":13.944184124351903,"endHours":15.628212227763079,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:19","startHours":15.628212227763079,"endHours":17.312240331174255,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"19:00","startHours":17.312240331174255,"endHours":18.99626843458543,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:00","end":"20:19","startHours":18.99626843458543,"endHours":20.312240331174255,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:38","startHours":20.312240331174255,"endHours":21.62821222776308,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"22:57","startHours":21.62821222776308,"endHours":22.944184124351903,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:16","startHours":22.944184124351903,"endHours":24.260156020940727,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.57612791752955,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:54","startHours":25.57612791752955,"endHours":26.892099814118374,"quality":"auspicious"},{"name":"Roga","start":"02:54","end":"04:12","startHours":26.892099814118374,"endHours":28.2080717107072,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:31","startHours":28.2080717107072,"endHours":29.524043607296022,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.524043607296022,"endHours":6.524043607296022,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.524043607296022,"endHours":7.524043607296022,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.524043607296022,"endHours":8.524043607296022,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.524043607296022,"endHours":9.524043607296022,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.524043607296022,"endHours":10.524043607296022,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.524043607296022,"endHours":11.524043607296022,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.524043607296022,"endHours":12.524043607296022,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.524043607296022,"endHours":13.524043607296022,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.524043607296022,"endHours":14.524043607296022,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.524043607296022,"endHours":15.524043607296022,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.524043607296022,"endHours":16.524043607296022,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.524043607296022,"endHours":17.524043607296022,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.524043607296022,"endHours":18.524043607296022,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.524043607296022,"endHours":19.524043607296022,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.524043607296022,"endHours":20.524043607296022,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.524043607296022,"endHours":21.524043607296022,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.524043607296022,"endHours":22.524043607296022,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.524043607296022,"endHours":23.524043607296022,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.524043607296022,"endHours":24.524043607296022,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.524043607296022,"endHours":25.524043607296022,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.524043607296022,"endHours":26.524043607296022,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.524043607296022,"endHours":27.524043607296022,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.524043607296022,"endHours":28.524043607296022,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.524043607296022,"endHours":29.524043607296022,"planetary_lord":"Sun"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.457746564095793,"eotMinutes":3.7534387435564067,"ayanamsa":24.1375}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ṣaṣṭhī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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 13, 2020 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2020 CE for Vṛndāvana: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2020-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2020-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2020-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2020-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2020-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T03:36:57.718Z","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":"2026-05-15T03:36:57.718Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T03:36:57.718Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}