{"id":"vidhyamitra:city-day:vrindavan:2045-05-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-05-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-17","date_display":"May 17, 2045 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":2045,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468117.770833,"kali_year":5147,"ahargana":1879652.2708,"sun":{"sidereal_longitude":31.9453,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":34.2253,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.28,"elapsed_within_tithi_degrees":2.28},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.2253,"elapsed_within_degrees":7.5586},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.1706},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2045,"month":5,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468117.770833,"ahargana":1879652.2708,"kali_year":5147,"ayanamsa_lahiri":24.4868,"grahas":{"sun":{"sidereal_longitude":32.079409,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":35.70850899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":4.4948},"mars":{"sidereal_longitude":27.95380899999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":20.865109000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.8686090000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":46.68910900000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.002609,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":306.9772,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":126.9772,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468117.770833,"kali_year":5147,"ahargana":1879652.2708,"sun":{"sidereal_longitude":31.9453,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":34.2253,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.28,"elapsed_within_tithi_degrees":2.28},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.2253,"elapsed_within_degrees":7.5586},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.1706},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":2.28},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":177.72}},"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":"05:29","sunsetLocal":"19:02","solarNoonLocal":"12:16","dayLengthHours":13.546542715161792,"dayLengthDisplay":"13 Hours 32 Mins 48 Secs","nightLengthDisplay":"10 Hours 27 Mins 12 Secs","moonriseLocal":"05:43","moonsetLocal":"19:17","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:57","startHours":12.260698673433115,"endHours":13.954016512828339,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:52","startHours":7.180745155247443,"endHours":8.874062994642667,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:16","startHours":10.567380834037891,"endHours":12.260698673433115,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.648287282723304,"endHours":9.09983870656203,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.051866595650627,"endHours":6.413107734721608,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809147249594389,"endHours":12.712250097271841,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:35","startHours":3.681221620497314,"endHours":4.584324468174767,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:29","startHours":4.358548756255404,"endHours":5.487427315852219,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.518455792626746,"endHours":15.421558640304198,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.83397003101401,"endHours":19.23397003101401,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.03397003101401,"endHours":19.598409310812418,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.78397003101401,"endHours":20.53397003101401,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80914724959439,"endHours":24.71225009727184,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:29","end":"07:11","startHours":5.487427315852219,"endHours":7.180745155247443,"quality":"auspicious"},{"name":"Amṛta","start":"07:11","end":"08:52","startHours":7.180745155247443,"endHours":8.874062994642667,"quality":"auspicious"},{"name":"Kāla","start":"08:52","end":"10:34","startHours":8.874062994642667,"endHours":10.567380834037891,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:16","startHours":10.567380834037891,"endHours":12.260698673433115,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:57","startHours":12.260698673433115,"endHours":13.954016512828339,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:39","startHours":13.954016512828339,"endHours":15.647334352223563,"quality":"inauspicious"},{"name":"Chala","start":"15:39","end":"17:20","startHours":15.647334352223563,"endHours":17.340652191618787,"quality":"neutral"},{"name":"Labha","start":"17:20","end":"19:02","startHours":17.340652191618787,"endHours":19.03397003101401,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:02","end":"20:20","startHours":19.03397003101401,"endHours":20.340652191618787,"quality":"inauspicious"},{"name":"Chala","start":"20:20","end":"21:39","startHours":20.340652191618787,"endHours":21.647334352223563,"quality":"neutral"},{"name":"Labha","start":"21:39","end":"22:57","startHours":21.647334352223563,"endHours":22.95401651282834,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:16","startHours":22.95401651282834,"endHours":24.260698673433115,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:34","startHours":24.260698673433115,"endHours":25.56738083403789,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:52","startHours":25.56738083403789,"endHours":26.874062994642667,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"04:11","startHours":26.874062994642667,"endHours":28.180745155247443,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"05:29","startHours":28.180745155247443,"endHours":29.48742731585222,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.487427315852219,"endHours":6.487427315852219,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.487427315852219,"endHours":7.487427315852219,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.487427315852219,"endHours":8.48742731585222,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.48742731585222,"endHours":9.48742731585222,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.48742731585222,"endHours":10.48742731585222,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.48742731585222,"endHours":11.48742731585222,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.48742731585222,"endHours":12.48742731585222,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.48742731585222,"endHours":13.48742731585222,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.48742731585222,"endHours":14.48742731585222,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.48742731585222,"endHours":15.48742731585222,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.48742731585222,"endHours":16.48742731585222,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.48742731585222,"endHours":17.48742731585222,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.48742731585222,"endHours":18.48742731585222,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.48742731585222,"endHours":19.48742731585222,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.48742731585222,"endHours":20.48742731585222,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.48742731585222,"endHours":21.48742731585222,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.48742731585222,"endHours":22.48742731585222,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.48742731585222,"endHours":23.48742731585222,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.48742731585222,"endHours":24.48742731585222,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.48742731585222,"endHours":25.48742731585222,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.48742731585222,"endHours":26.48742731585222,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.48742731585222,"endHours":27.48742731585222,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.48742731585222,"endHours":28.48742731585222,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.48742731585222,"endHours":29.48742731585222,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.38516562697026,"eotMinutes":3.7208795940131294,"ayanamsa":24.4868}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Śukla Pratipada · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 17, 2045 CE · Vṛndāvana · Vidhyamitra","description":"May 17, 2045 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 05:29, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-05-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-05-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-05-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-05-17","x-default":"https://vidhyamitra.com/city/vrindavan/2045-05-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:20:14.631Z","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":"2026-06-02T00:20:14.631Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:20:14.631Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}