{"id":"vidhyamitra:city-day:vrindavan:2176-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2176-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-05-20","date_display":"May 20, 2176 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":2176,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515967.770833,"kali_year":5278,"ahargana":1927502.2708,"sun":{"sidereal_longitude":33.0012,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":171.3777,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.3765,"elapsed_within_tithi_degrees":6.3765},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.3777,"elapsed_within_degrees":11.3777},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.3788},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2176,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515967.770833,"ahargana":1927502.2708,"kali_year":5278,"ayanamsa_lahiri":26.3169,"grahas":{"sun":{"sidereal_longitude":33.451986999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":173.215687,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-3.8852},"mars":{"sidereal_longitude":278.14658699999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":13.960687000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":328.390987,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":38.19738699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":17.792486999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":291.6539,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.6539,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":2176,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515967.770833,"kali_year":5278,"ahargana":1927502.2708,"sun":{"sidereal_longitude":33.0012,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":171.3777,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.3765,"elapsed_within_tithi_degrees":6.3765},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.3777,"elapsed_within_degrees":11.3777},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.3788},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.885,"elongation":138.377},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.885,"opposition_distance":41.623}},"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":"05:28","sunsetLocal":"19:04","solarNoonLocal":"12:16","dayLengthHours":13.604439726773435,"dayLengthDisplay":"13 Hours 36 Mins 16 Secs","nightLengthDisplay":"10 Hours 23 Mins 44 Secs","moonriseLocal":"15:48","moonsetLocal":"03:21","rahuKala":{"name":"Rāhu Kāla","start":"07:10","end":"08:52","startHours":7.161076552190209,"endHours":8.861631518036887,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:16","startHours":10.562186483883568,"endHours":12.262741449730246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:58","end":"15:40","startHours":13.963296415576927,"endHours":15.663851381423605,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.634890855923997,"endHours":9.08837218014978,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:23","startHours":6.027373241625756,"endHours":6.39015830100638,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809260125504466,"endHours":12.716222773956027,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.6465962894404047,"endHours":4.5535589378919665,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.326818275779076,"endHours":5.460521586343529,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.530148070859152,"endHours":15.437110719310715,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.864961313116964,"endHours":19.264961313116963,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.064961313116964,"endHours":19.63181296839919,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.814961313116964,"endHours":20.564961313116964,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809260125504466,"endHours":24.716222773956027,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:28","end":"07:10","startHours":5.460521586343529,"endHours":7.161076552190209,"quality":"auspicious"},{"name":"Kāla","start":"07:10","end":"08:52","startHours":7.161076552190209,"endHours":8.861631518036887,"quality":"inauspicious"},{"name":"Śubha","start":"08:52","end":"10:34","startHours":8.861631518036887,"endHours":10.562186483883568,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:16","startHours":10.562186483883568,"endHours":12.262741449730246,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.963296415576927,"quality":"inauspicious"},{"name":"Chala","start":"13:58","end":"15:40","startHours":13.963296415576927,"endHours":15.663851381423605,"quality":"neutral"},{"name":"Labha","start":"15:40","end":"17:22","startHours":15.663851381423605,"endHours":17.364406347270286,"quality":"auspicious"},{"name":"Amṛta","start":"17:22","end":"19:04","startHours":17.364406347270286,"endHours":19.064961313116964,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:04","end":"20:22","startHours":19.064961313116964,"endHours":20.364406347270283,"quality":"neutral"},{"name":"Labha","start":"20:22","end":"21:40","startHours":20.364406347270283,"endHours":21.663851381423605,"quality":"auspicious"},{"name":"Amṛta","start":"21:40","end":"22:58","startHours":21.663851381423605,"endHours":22.963296415576927,"quality":"auspicious"},{"name":"Kāla","start":"22:58","end":"00:16","startHours":22.963296415576927,"endHours":24.262741449730246,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.562186483883565,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:52","startHours":25.562186483883565,"endHours":26.861631518036887,"quality":"inauspicious"},{"name":"Udveg","start":"02:52","end":"04:10","startHours":26.861631518036887,"endHours":28.16107655219021,"quality":"inauspicious"},{"name":"Chala","start":"04:10","end":"05:28","startHours":28.16107655219021,"endHours":29.46052158634353,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.460521586343529,"endHours":6.460521586343529,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.460521586343529,"endHours":7.460521586343529,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.460521586343529,"endHours":8.460521586343528,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.460521586343528,"endHours":9.460521586343528,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.460521586343528,"endHours":10.460521586343528,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.460521586343528,"endHours":11.460521586343528,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.460521586343528,"endHours":12.460521586343528,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.460521586343528,"endHours":13.460521586343528,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.460521586343528,"endHours":14.460521586343528,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.460521586343528,"endHours":15.460521586343528,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.460521586343528,"endHours":16.46052158634353,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46052158634353,"endHours":17.46052158634353,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46052158634353,"endHours":18.46052158634353,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46052158634353,"endHours":19.46052158634353,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46052158634353,"endHours":20.46052158634353,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46052158634353,"endHours":21.46052158634353,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46052158634353,"endHours":22.46052158634353,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46052158634353,"endHours":23.46052158634353,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46052158634353,"endHours":24.46052158634353,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46052158634353,"endHours":25.46052158634353,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46052158634353,"endHours":26.46052158634353,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46052158634353,"endHours":27.46052158634353,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46052158634353,"endHours":28.46052158634353,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46052158634353,"endHours":29.46052158634353,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.098886991478818,"eotMinutes":3.5983130161851964,"ayanamsa":26.3169}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"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 Dvādaśī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2176 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2176 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 05:28, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2176-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2176-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2176-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2176-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2176-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:00:57.735Z","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":"2026-05-31T16:00:57.735Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:00:57.735Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}