{"id":"vidhyamitra:city-day:vrindavan:2087-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2087-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-05-16","date_display":"May 16, 2087 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":2087,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483456.770833,"kali_year":5189,"ahargana":1894991.2708,"sun":{"sidereal_longitude":30.1559,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":192.1659,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.01,"elapsed_within_tithi_degrees":6.01},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.1659,"elapsed_within_degrees":5.4992},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.3217},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":2087,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483456.770833,"ahargana":1894991.2708,"kali_year":5189,"ayanamsa_lahiri":25.0735,"grahas":{"sun":{"sidereal_longitude":30.378146000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":192.81104600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-1.6899},"mars":{"sidereal_longitude":98.239146,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":50.61544600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":133.15004599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":74.584046,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":10.525846000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2087,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483456.770833,"kali_year":5189,"ahargana":1894991.2708,"sun":{"sidereal_longitude":30.1559,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":192.1659,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.01,"elapsed_within_tithi_degrees":6.01},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.1659,"elapsed_within_degrees":5.4992},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.3217},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.69,"elongation":162.01},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.69,"opposition_distance":17.99}},"eclipse_window_40days":[{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":-0.968,"elongation":0.395}]},"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":"05:30","sunsetLocal":"19:01","solarNoonLocal":"12:16","dayLengthHours":13.525404166329567,"dayLengthDisplay":"13 Hours 31 Mins 31 Secs","nightLengthDisplay":"10 Hours 28 Mins 29 Secs","moonriseLocal":"17:33","moonsetLocal":"04:38","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:16","startHours":10.569650229895679,"endHours":12.260325750686874,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:39","end":"17:20","startHours":15.641676792269266,"endHours":17.33235231306046,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:53","startHours":7.188299188313286,"endHours":8.878974709104481,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.653551306332322,"endHours":9.104398111876641,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:25","startHours":6.0611821744524885,"endHours":6.421859618887944,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809478945142555,"endHours":12.711172556231194,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:36","startHours":3.6942364453448144,"endHours":4.595930056433453,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:30","startHours":4.370506653661293,"endHours":5.49762366752209,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.514559778408467,"endHours":15.416253389497104,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.823027833851658,"endHours":19.223027833851656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.023027833851657,"endHours":19.586586340782056,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.773027833851657,"endHours":20.523027833851657,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809478945142555,"endHours":24.711172556231194,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:30","end":"07:11","startHours":5.49762366752209,"endHours":7.188299188313286,"quality":"neutral"},{"name":"Labha","start":"07:11","end":"08:53","startHours":7.188299188313286,"endHours":8.878974709104481,"quality":"auspicious"},{"name":"Amṛta","start":"08:53","end":"10:34","startHours":8.878974709104481,"endHours":10.569650229895679,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:16","startHours":10.569650229895679,"endHours":12.260325750686874,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:57","startHours":12.260325750686874,"endHours":13.95100127147807,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"15:39","startHours":13.95100127147807,"endHours":15.641676792269266,"quality":"inauspicious"},{"name":"Udveg","start":"15:39","end":"17:20","startHours":15.641676792269266,"endHours":17.33235231306046,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"19:01","startHours":17.33235231306046,"endHours":19.023027833851657,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:01","end":"20:20","startHours":19.023027833851657,"endHours":20.33235231306046,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:39","startHours":20.33235231306046,"endHours":21.641676792269266,"quality":"inauspicious"},{"name":"Chala","start":"21:39","end":"22:57","startHours":21.641676792269266,"endHours":22.95100127147807,"quality":"neutral"},{"name":"Labha","start":"22:57","end":"00:16","startHours":22.95100127147807,"endHours":24.260325750686874,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:34","startHours":24.260325750686874,"endHours":25.56965022989568,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:53","startHours":25.56965022989568,"endHours":26.878974709104483,"quality":"inauspicious"},{"name":"Śubha","start":"02:53","end":"04:11","startHours":26.878974709104483,"endHours":28.188299188313287,"quality":"auspicious"},{"name":"Roga","start":"04:11","end":"05:30","startHours":28.188299188313287,"endHours":29.49762366752209,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.49762366752209,"endHours":6.49762366752209,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.49762366752209,"endHours":7.49762366752209,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.49762366752209,"endHours":8.49762366752209,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.49762366752209,"endHours":9.49762366752209,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.49762366752209,"endHours":10.49762366752209,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.49762366752209,"endHours":11.49762366752209,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.49762366752209,"endHours":12.49762366752209,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.49762366752209,"endHours":13.49762366752209,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.49762366752209,"endHours":14.49762366752209,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.49762366752209,"endHours":15.49762366752209,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.49762366752209,"endHours":16.49762366752209,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.49762366752209,"endHours":17.49762366752209,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.49762366752209,"endHours":18.49762366752209,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.49762366752209,"endHours":19.49762366752209,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.49762366752209,"endHours":20.49762366752209,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.49762366752209,"endHours":21.49762366752209,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.49762366752209,"endHours":22.49762366752209,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.49762366752209,"endHours":23.49762366752209,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.49762366752209,"endHours":24.49762366752209,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.49762366752209,"endHours":25.49762366752209,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.49762366752209,"endHours":26.49762366752209,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.49762366752209,"endHours":27.49762366752209,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.49762366752209,"endHours":28.49762366752209,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.49762366752209,"endHours":29.49762366752209,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.122654385230994,"eotMinutes":3.743254958787478,"ayanamsa":25.0735}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"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 Caturdaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated 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 16, 2087 CE · Vṛndāvana · Vidhyamitra","description":"May 16, 2087 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 05:30, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2087-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2087-05-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2087-05-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2087-05-16","x-default":"https://vidhyamitra.com/city/vrindavan/2087-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:22:17.050Z","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":"2026-06-02T04:22:17.050Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:22:17.050Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}