{"id":"vidhyamitra:city-day:vrindavan:2168-05-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2168-05-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-05-11","date_display":"May 11, 2168 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":2168,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513036.770833,"kali_year":5270,"ahargana":1924571.2708,"sun":{"sidereal_longitude":24.4354,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":67.7837,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.3484,"elapsed_within_tithi_degrees":7.3484},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.7837,"elapsed_within_degrees":1.1171},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.2191},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2168,"month":5,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513036.770833,"ahargana":1924571.2708,"kali_year":5270,"ayanamsa_lahiri":26.2048,"grahas":{"sun":{"sidereal_longitude":24.81327299999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":71.07097299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-1.4762},"mars":{"sidereal_longitude":111.65507300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":2.3294730000000072,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":74.30477300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":26.680173000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":284.689973,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":86.9524,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":266.9524,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":2168,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513036.770833,"kali_year":5270,"ahargana":1924571.2708,"sun":{"sidereal_longitude":24.4354,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":67.7837,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.3484,"elapsed_within_tithi_degrees":7.3484},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.7837,"elapsed_within_degrees":1.1171},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.2191},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.476,"elongation":43.348},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.476,"opposition_distance":136.652}},"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":"05:33","sunsetLocal":"18:59","solarNoonLocal":"12:16","dayLengthHours":13.436659583294906,"dayLengthDisplay":"13 Hours 26 Mins 12 Secs","nightLengthDisplay":"10 Hours 33 Mins 48 Secs","moonriseLocal":"08:26","moonsetLocal":"22:15","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:56","startHours":12.260846838934857,"endHours":13.940429286846719,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:54","startHours":7.222099495199266,"endHours":8.901681943111129,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:16","startHours":10.581264391022993,"endHours":12.260846838934857,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.677737616722881,"endHours":9.125626269499378,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.102377863258024,"endHours":6.460688785479221,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.81295818615836,"endHours":12.708735491711353,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.750962436181415,"endHours":4.646739741734409,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.42279541534616,"endHours":5.542517047287403,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.50029010281734,"endHours":15.396067408370333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.77917663058231,"endHours":19.179176630582308,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.97917663058231,"endHours":19.53903744655293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.72917663058231,"endHours":20.47917663058231,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.812958186158358,"endHours":24.708735491711355,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:33","end":"07:13","startHours":5.542517047287403,"endHours":7.222099495199266,"quality":"auspicious"},{"name":"Amṛta","start":"07:13","end":"08:54","startHours":7.222099495199266,"endHours":8.901681943111129,"quality":"auspicious"},{"name":"Kāla","start":"08:54","end":"10:35","startHours":8.901681943111129,"endHours":10.581264391022993,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:16","startHours":10.581264391022993,"endHours":12.260846838934857,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:56","startHours":12.260846838934857,"endHours":13.940429286846719,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:37","startHours":13.940429286846719,"endHours":15.620011734758583,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:18","startHours":15.620011734758583,"endHours":17.299594182670447,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:59","startHours":17.299594182670447,"endHours":18.97917663058231,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:59","end":"20:18","startHours":18.97917663058231,"endHours":20.299594182670447,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:37","startHours":20.299594182670447,"endHours":21.62001173475858,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"22:56","startHours":21.62001173475858,"endHours":22.94042928684672,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:16","startHours":22.94042928684672,"endHours":24.260846838934857,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:35","startHours":24.260846838934857,"endHours":25.58126439102299,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:54","startHours":25.58126439102299,"endHours":26.90168194311113,"quality":"auspicious"},{"name":"Roga","start":"02:54","end":"04:13","startHours":26.90168194311113,"endHours":28.222099495199267,"quality":"inauspicious"},{"name":"Udveg","start":"04:13","end":"05:33","startHours":28.222099495199267,"endHours":29.542517047287404,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.542517047287403,"endHours":6.542517047287403,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.542517047287403,"endHours":7.542517047287403,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.542517047287403,"endHours":8.542517047287403,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.542517047287403,"endHours":9.542517047287403,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.542517047287403,"endHours":10.542517047287403,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.542517047287403,"endHours":11.542517047287403,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.542517047287403,"endHours":12.542517047287403,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.542517047287403,"endHours":13.542517047287403,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.542517047287403,"endHours":14.542517047287403,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.542517047287403,"endHours":15.542517047287403,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.542517047287403,"endHours":16.542517047287404,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.542517047287404,"endHours":17.542517047287404,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.542517047287404,"endHours":18.542517047287404,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.542517047287404,"endHours":19.542517047287404,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.542517047287404,"endHours":20.542517047287404,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.542517047287404,"endHours":21.542517047287404,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.542517047287404,"endHours":22.542517047287404,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.542517047287404,"endHours":23.542517047287404,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.542517047287404,"endHours":24.542517047287404,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.542517047287404,"endHours":25.542517047287404,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.542517047287404,"endHours":26.542517047287404,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.542517047287404,"endHours":27.542517047287404,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.542517047287404,"endHours":28.542517047287404,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.542517047287404,"endHours":29.542517047287404,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","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":18.009526064310208,"eotMinutes":3.71198966390865,"ayanamsa":26.2048}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Caturthī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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 11, 2168 CE · Vṛndāvana · Vidhyamitra","description":"May 11, 2168 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:33, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2168-05-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2168-05-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/2168-05-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/2168-05-11","x-default":"https://vidhyamitra.com/city/vrindavan/2168-05-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:41:19.460Z","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":"2026-06-01T20:41:19.460Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:41:19.460Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}