{"id":"vidhyamitra:city-day:vrindavan:2087-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2087-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-05-20","date_display":"May 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483460.770833,"kali_year":5189,"ahargana":1894995.2708,"sun":{"sidereal_longitude":33.9861,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":242.7012,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.7151,"elapsed_within_tithi_degrees":4.7151},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.7012,"elapsed_within_degrees":2.7012},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.6873},"karana":{"half_tithi_index":34,"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":2087,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483460.770833,"ahargana":1894995.2708,"kali_year":5189,"ayanamsa_lahiri":25.0737,"grahas":{"sun":{"sidereal_longitude":34.23289299999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":240.39849299999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":2.1572},"mars":{"sidereal_longitude":100.40689299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":53.144293000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":133.30359299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":78.39479299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":11.012592999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":214.0312,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.0312,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483460.770833,"kali_year":5189,"ahargana":1894995.2708,"sun":{"sidereal_longitude":33.9861,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":242.7012,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.7151,"elapsed_within_tithi_degrees":4.7151},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.7012,"elapsed_within_degrees":2.7012},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.6873},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.157,"elongation":151.285},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.157,"opposition_distance":28.715}},"eclipse_window_40days":[{"offset_days":12,"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":"05:28","sunsetLocal":"19:04","solarNoonLocal":"12:16","dayLengthHours":13.596352261698549,"dayLengthDisplay":"13 Hours 35 Mins 47 Secs","nightLengthDisplay":"10 Hours 24 Mins 13 Secs","moonriseLocal":"20:50","moonsetLocal":"07:11","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:22","startHours":15.661829515154883,"endHours":17.361373547867203,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:34","startHours":8.863653384305609,"endHours":10.563197417017928,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.962285482442564,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.637047513277299,"endHours":9.090259255333919,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.031079996451744,"endHours":6.393649390097039,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809529707673628,"endHours":12.715953191786864,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.6517183506544986,"endHours":4.558141834767735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.331535963739426,"endHours":5.464565318880972,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.528800160013338,"endHours":15.435223644126575,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.86091758057952,"endHours":19.26091758057952,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.06091758057952,"endHours":19.627432258150293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.81091758057952,"endHours":20.56091758057952,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80952970767363,"endHours":24.715953191786863,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:28","end":"07:10","startHours":5.464565318880972,"endHours":7.16410935159329,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:52","startHours":7.16410935159329,"endHours":8.863653384305609,"quality":"inauspicious"},{"name":"Chala","start":"08:52","end":"10:34","startHours":8.863653384305609,"endHours":10.563197417017928,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:16","startHours":10.563197417017928,"endHours":12.262741449730246,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.962285482442564,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:40","startHours":13.962285482442564,"endHours":15.661829515154883,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:22","startHours":15.661829515154883,"endHours":17.361373547867203,"quality":"auspicious"},{"name":"Roga","start":"17:22","end":"19:04","startHours":17.361373547867203,"endHours":19.06091758057952,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:04","end":"20:22","startHours":19.06091758057952,"endHours":20.361373547867203,"quality":"inauspicious"},{"name":"Śubha","start":"20:22","end":"21:40","startHours":20.361373547867203,"endHours":21.661829515154885,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"22:58","startHours":21.661829515154885,"endHours":22.962285482442564,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:16","startHours":22.962285482442564,"endHours":24.262741449730246,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.56319741701793,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:52","startHours":25.56319741701793,"endHours":26.863653384305607,"quality":"auspicious"},{"name":"Amṛta","start":"02:52","end":"04:10","startHours":26.863653384305607,"endHours":28.16410935159329,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:28","startHours":28.16410935159329,"endHours":29.46456531888097,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.464565318880972,"endHours":6.464565318880972,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.464565318880972,"endHours":7.464565318880972,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.464565318880972,"endHours":8.464565318880972,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.464565318880972,"endHours":9.464565318880972,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.464565318880972,"endHours":10.464565318880972,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.464565318880972,"endHours":11.464565318880972,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.464565318880972,"endHours":12.464565318880972,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.464565318880972,"endHours":13.464565318880972,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.464565318880972,"endHours":14.464565318880972,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.464565318880972,"endHours":15.464565318880972,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.464565318880972,"endHours":16.46456531888097,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46456531888097,"endHours":17.46456531888097,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46456531888097,"endHours":18.46456531888097,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46456531888097,"endHours":19.46456531888097,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46456531888097,"endHours":20.46456531888097,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46456531888097,"endHours":21.46456531888097,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46456531888097,"endHours":22.46456531888097,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46456531888097,"endHours":23.46456531888097,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46456531888097,"endHours":24.46456531888097,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46456531888097,"endHours":25.46456531888097,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46456531888097,"endHours":26.46456531888097,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46456531888097,"endHours":27.46456531888097,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46456531888097,"endHours":28.46456531888097,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46456531888097,"endHours":29.46456531888097,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.99965736915653,"eotMinutes":3.5983130161851964,"ayanamsa":25.0737}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"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":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"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, 2087 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2087 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:28, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2087-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2087-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2087-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2087-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2087-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:45:04.141Z","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":"2026-06-02T15:45:04.141Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:45:04.141Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}