{"id":"vidhyamitra:city-day:vrindavan:2121-05-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2121-05-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-05-14","date_display":"May 14, 2121 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":2121,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495872.770833,"kali_year":5223,"ahargana":1907407.2708,"sun":{"sidereal_longitude":27.4724,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":353.2868,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8144,"elapsed_within_tithi_degrees":1.8144},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":353.2868,"elapsed_within_degrees":6.6201},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.7592},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2121,"month":5,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495872.770833,"ahargana":1907407.2708,"kali_year":5223,"ayanamsa_lahiri":25.5484,"grahas":{"sun":{"sidereal_longitude":27.757464000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":351.663164,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.3827},"mars":{"sidereal_longitude":116.730864,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":28.558363999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":87.53646400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":340.249064,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":65.287464,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":276.3837,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.3837,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2121,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495872.770833,"kali_year":5223,"ahargana":1907407.2708,"sun":{"sidereal_longitude":27.4724,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":353.2868,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8144,"elapsed_within_tithi_degrees":1.8144},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":353.2868,"elapsed_within_degrees":6.6201},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.7592},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.383,"elongation":34.186},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.383,"opposition_distance":145.814}},"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":13.483353140564148,"dayLengthDisplay":"13 Hours 29 Mins 00 Secs","nightLengthDisplay":"10 Hours 31 Mins 00 Secs","moonriseLocal":"03:34","moonsetLocal":"16:08","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:57","startHours":12.26005295280402,"endHours":13.945472095374537,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:53","startHours":7.203795525092464,"endHours":8.889214667662984,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:16","startHours":10.5746338102335,"endHours":12.26005295280402,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.664492115320247,"endHours":9.113937220005718,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:26","startHours":6.080182763378785,"endHours":6.439738847127162,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.810607848118549,"endHours":12.709498057489492,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.720595963780059,"endHours":4.619486173151002,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.394763620808266,"endHours":5.518376382521946,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.507278476231377,"endHours":15.40616868560232,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.801729523086095,"endHours":19.201729523086094,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":19.001729523086095,"endHours":19.563535903942935,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.751729523086095,"endHours":20.501729523086095,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81060784811855,"endHours":24.70949805748949,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:31","end":"07:12","startHours":5.518376382521946,"endHours":7.203795525092464,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:53","startHours":7.203795525092464,"endHours":8.889214667662984,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:34","startHours":8.889214667662984,"endHours":10.5746338102335,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:16","startHours":10.5746338102335,"endHours":12.26005295280402,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:57","startHours":12.26005295280402,"endHours":13.945472095374537,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:38","startHours":13.945472095374537,"endHours":15.630891237945058,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:19","startHours":15.630891237945058,"endHours":17.316310380515574,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"19:00","startHours":17.316310380515574,"endHours":19.001729523086095,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:00","end":"20:19","startHours":19.001729523086095,"endHours":20.316310380515574,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:38","startHours":20.316310380515574,"endHours":21.630891237945058,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"22:57","startHours":21.630891237945058,"endHours":22.94547209537454,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:16","startHours":22.94547209537454,"endHours":24.26005295280402,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:34","startHours":24.26005295280402,"endHours":25.5746338102335,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:53","startHours":25.5746338102335,"endHours":26.889214667662984,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:12","startHours":26.889214667662984,"endHours":28.203795525092467,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:31","startHours":28.203795525092467,"endHours":29.518376382521947,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.518376382521946,"endHours":6.518376382521946,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.518376382521946,"endHours":7.518376382521946,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.518376382521946,"endHours":8.518376382521947,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.518376382521947,"endHours":9.518376382521947,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.518376382521947,"endHours":10.518376382521947,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.518376382521947,"endHours":11.518376382521947,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.518376382521947,"endHours":12.518376382521947,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.518376382521947,"endHours":13.518376382521947,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.518376382521947,"endHours":14.518376382521947,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.518376382521947,"endHours":15.518376382521947,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.518376382521947,"endHours":16.518376382521947,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.518376382521947,"endHours":17.518376382521947,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.518376382521947,"endHours":18.518376382521947,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.518376382521947,"endHours":19.518376382521947,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.518376382521947,"endHours":20.518376382521947,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.518376382521947,"endHours":21.518376382521947,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.518376382521947,"endHours":22.518376382521947,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.518376382521947,"endHours":23.518376382521947,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.518376382521947,"endHours":24.518376382521947,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.518376382521947,"endHours":25.518376382521947,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.518376382521947,"endHours":26.518376382521947,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.518376382521947,"endHours":27.518376382521947,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.518376382521947,"endHours":28.518376382521947,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.518376382521947,"endHours":29.518376382521947,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.59741361175175,"eotMinutes":3.759622831758854,"ayanamsa":25.5484}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha (Adhika) Kṛṣṇa Trayodaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 14, 2121 CE · Vṛndāvana · Vidhyamitra","description":"May 14, 2121 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2121-05-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2121-05-14","sa":"https://sa.vidhyamitra.com/city/vrindavan/2121-05-14","hi":"https://hi.vidhyamitra.com/city/vrindavan/2121-05-14","x-default":"https://vidhyamitra.com/city/vrindavan/2121-05-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:44:49.243Z","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":"2026-06-01T15:44:49.243Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:44:49.243Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}