{"id":"vidhyamitra:city-day:vrindavan:2173-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2173-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2173-05-16","date_display":"May 16, 2173 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":2173,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514867.770833,"kali_year":5275,"ahargana":1926402.2708,"sun":{"sidereal_longitude":28.9545,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":78.55,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5955,"elapsed_within_tithi_degrees":1.5955},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.55,"elapsed_within_degrees":11.8833},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.5045},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2173,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514867.770833,"ahargana":1926402.2708,"kali_year":5275,"ayanamsa_lahiri":26.2749,"grahas":{"sun":{"sidereal_longitude":29.372214999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":75.923115,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":4.4987},"mars":{"sidereal_longitude":36.540615,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":42.864014999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":229.10201499999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":51.15921500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":342.095915,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":349.9372,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.9372,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2173,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514867.770833,"kali_year":5275,"ahargana":1926402.2708,"sun":{"sidereal_longitude":28.9545,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":78.55,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5955,"elapsed_within_tithi_degrees":1.5955},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.55,"elapsed_within_degrees":11.8833},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.5045},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":49.596},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":130.404}},"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":"05:30","sunsetLocal":"19:01","solarNoonLocal":"12:16","dayLengthHours":13.529146957472364,"dayLengthDisplay":"13 Hours 31 Mins 45 Secs","nightLengthDisplay":"10 Hours 28 Mins 15 Secs","moonriseLocal":"08:28","moonsetLocal":"22:16","rahuKala":{"name":"Rāhu Kāla","start":"17:20","end":"19:01","startHours":17.33375585973901,"endHours":19.024899229423056,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:57","startHours":12.260325750686874,"endHours":13.95146912037092,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:39","end":"17:20","startHours":15.642612490054965,"endHours":17.33375585973901,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.652553228694245,"endHours":9.103524793943322,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:25","startHours":6.059466728512041,"endHours":6.420243980711304,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809354185437796,"endHours":12.711297315935953,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:36","startHours":3.6918660109543775,"endHours":4.593809141452535,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:30","startHours":4.368323358827996,"endHours":5.495752271950693,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.515183576932268,"endHours":15.417126707430425,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.824899229423057,"endHours":19.224899229423055,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.024899229423056,"endHours":19.588613685984406,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.774899229423056,"endHours":20.524899229423056,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809354185437794,"endHours":24.711297315935955,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:30","end":"07:11","startHours":5.495752271950693,"endHours":7.186895641634738,"quality":"inauspicious"},{"name":"Chala","start":"07:11","end":"08:53","startHours":7.186895641634738,"endHours":8.878039011318783,"quality":"neutral"},{"name":"Labha","start":"08:53","end":"10:34","startHours":8.878039011318783,"endHours":10.569182381002829,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:16","startHours":10.569182381002829,"endHours":12.260325750686874,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:57","startHours":12.260325750686874,"endHours":13.95146912037092,"quality":"inauspicious"},{"name":"Śubha","start":"13:57","end":"15:39","startHours":13.95146912037092,"endHours":15.642612490054965,"quality":"auspicious"},{"name":"Roga","start":"15:39","end":"17:20","startHours":15.642612490054965,"endHours":17.33375585973901,"quality":"inauspicious"},{"name":"Udveg","start":"17:20","end":"19:01","startHours":17.33375585973901,"endHours":19.024899229423056,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:01","end":"20:20","startHours":19.024899229423056,"endHours":20.33375585973901,"quality":"auspicious"},{"name":"Roga","start":"20:20","end":"21:39","startHours":20.33375585973901,"endHours":21.642612490054965,"quality":"inauspicious"},{"name":"Udveg","start":"21:39","end":"22:57","startHours":21.642612490054965,"endHours":22.95146912037092,"quality":"inauspicious"},{"name":"Chala","start":"22:57","end":"00:16","startHours":22.95146912037092,"endHours":24.260325750686874,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:34","startHours":24.260325750686874,"endHours":25.56918238100283,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:53","startHours":25.56918238100283,"endHours":26.878039011318783,"quality":"auspicious"},{"name":"Kāla","start":"02:53","end":"04:11","startHours":26.878039011318783,"endHours":28.186895641634738,"quality":"inauspicious"},{"name":"Śubha","start":"04:11","end":"05:30","startHours":28.186895641634738,"endHours":29.495752271950693,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.495752271950693,"endHours":6.495752271950693,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.495752271950693,"endHours":7.495752271950693,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.495752271950693,"endHours":8.495752271950693,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.495752271950693,"endHours":9.495752271950693,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.495752271950693,"endHours":10.495752271950693,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.495752271950693,"endHours":11.495752271950693,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.495752271950693,"endHours":12.495752271950693,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.495752271950693,"endHours":13.495752271950693,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.495752271950693,"endHours":14.495752271950693,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.495752271950693,"endHours":15.495752271950693,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.495752271950693,"endHours":16.495752271950693,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.495752271950693,"endHours":17.495752271950693,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.495752271950693,"endHours":18.495752271950693,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.495752271950693,"endHours":19.495752271950693,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.495752271950693,"endHours":20.495752271950693,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.495752271950693,"endHours":21.495752271950693,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.495752271950693,"endHours":22.495752271950693,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.495752271950693,"endHours":23.495752271950693,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.495752271950693,"endHours":24.495752271950693,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.495752271950693,"endHours":25.495752271950693,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.495752271950693,"endHours":26.495752271950693,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.495752271950693,"endHours":27.495752271950693,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.495752271950693,"endHours":28.495752271950693,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.495752271950693,"endHours":29.495752271950693,"planetary_lord":"Jupiter"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.16920913903445,"eotMinutes":3.743254958787478,"ayanamsa":26.2749}},"calendars":{"vikram_samvat":2230,"vikram_samvatsara":"Vyaya","saka_samvat":2095,"saka_samvatsara":"Śrīmukha","bengali_samvat":1580,"malayalam_era":1349,"nanakshahi_year":704,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pañcamī · Vikram 2230 Vyaya · Śaka 2095 Śrīmukha"},"festivals":[{"id":"shankara-jayanti","name":"Ādi Śaṅkarācārya Jayantī","name_sanskrit":"आदि शङ्कराचार्य जयन्ती","tradition":"Smarta","associated_deity":"Ādi Śaṅkarācārya","significance":"Birth of Ādi Śaṅkara at Kāladī, Kerala; Advaita-pratiṣṭhāpaka.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 16, 2173 CE · Vṛndāvana · Vidhyamitra","description":"May 16, 2173 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:30, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2173-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2173-05-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2173-05-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2173-05-16","x-default":"https://vidhyamitra.com/city/vrindavan/2173-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:29:28.169Z","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":"2026-05-31T18:29:28.169Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:29:28.169Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}