{"id":"vidhyamitra:city-day:vrindavan:2163-05-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2163-05-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-05-10","date_display":"May 10, 2163 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":2163,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511208.770833,"kali_year":5265,"ahargana":1922743.2708,"sun":{"sidereal_longitude":22.7942,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":100.0667,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.2725,"elapsed_within_tithi_degrees":5.2725},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.0667,"elapsed_within_degrees":6.7333},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.8609},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2163,"month":5,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511208.770833,"ahargana":1922743.2708,"kali_year":5265,"ayanamsa_lahiri":26.1349,"grahas":{"sun":{"sidereal_longitude":23.15081600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":96.43211600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":-4.4731},"mars":{"sidereal_longitude":310.36961599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":357.955916,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":292.639416,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":5.572516000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":226.12021600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":183.8086,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.8086,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2163,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511208.770833,"kali_year":5265,"ahargana":1922743.2708,"sun":{"sidereal_longitude":22.7942,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":100.0667,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.2725,"elapsed_within_tithi_degrees":5.2725},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.0667,"elapsed_within_degrees":6.7333},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.8609},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.473,"elongation":77.272},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.473,"opposition_distance":102.728}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":-0.773,"elongation":1.964}]},"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":"05:34","sunsetLocal":"18:58","solarNoonLocal":"12:16","dayLengthHours":13.400104306975962,"dayLengthDisplay":"13 Hours 24 Mins 00 Secs","nightLengthDisplay":"10 Hours 36 Mins 00 Secs","moonriseLocal":"10:23","moonsetLocal":"23:54","rahuKala":{"name":"Rāhu Kāla","start":"15:37","end":"17:17","startHours":15.611462313009767,"endHours":17.286475351381764,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:55","end":"10:35","startHours":8.911410159521786,"endHours":10.586423197893783,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:56","startHours":12.261436236265777,"endHours":13.936449274637773,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.688075087738854,"endHours":9.13474523130472,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.1197217622351285,"endHours":6.477057877087821,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.81476609269991,"endHours":12.708106379831642,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.7747035085143352,"endHours":4.668043795646065,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:34","startHours":4.444708723863133,"endHours":5.5613840827777965,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.494786954095105,"endHours":15.388127241226835,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.761488389753758,"endHours":19.161488389753757,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:31","startHours":18.961488389753757,"endHours":19.51982606921109,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.711488389753757,"endHours":20.461488389753757,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.814766092699912,"endHours":24.70810637983164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:14","startHours":5.5613840827777965,"endHours":7.236397121149792,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"08:55","startHours":7.236397121149792,"endHours":8.911410159521786,"quality":"inauspicious"},{"name":"Chala","start":"08:55","end":"10:35","startHours":8.911410159521786,"endHours":10.586423197893783,"quality":"neutral"},{"name":"Labha","start":"10:35","end":"12:16","startHours":10.586423197893783,"endHours":12.261436236265777,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:56","startHours":12.261436236265777,"endHours":13.936449274637773,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:37","startHours":13.936449274637773,"endHours":15.611462313009767,"quality":"inauspicious"},{"name":"Śubha","start":"15:37","end":"17:17","startHours":15.611462313009767,"endHours":17.286475351381764,"quality":"auspicious"},{"name":"Roga","start":"17:17","end":"18:58","startHours":17.286475351381764,"endHours":18.961488389753757,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:58","end":"20:17","startHours":18.961488389753757,"endHours":20.28647535138176,"quality":"inauspicious"},{"name":"Śubha","start":"20:17","end":"21:37","startHours":20.28647535138176,"endHours":21.611462313009767,"quality":"auspicious"},{"name":"Roga","start":"21:37","end":"22:56","startHours":21.611462313009767,"endHours":22.936449274637773,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:16","startHours":22.936449274637773,"endHours":24.261436236265777,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:35","startHours":24.261436236265777,"endHours":25.58642319789378,"quality":"neutral"},{"name":"Labha","start":"01:35","end":"02:55","startHours":25.58642319789378,"endHours":26.911410159521786,"quality":"auspicious"},{"name":"Amṛta","start":"02:55","end":"04:14","startHours":26.911410159521786,"endHours":28.236397121149793,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:34","startHours":28.236397121149793,"endHours":29.561384082777796,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.5613840827777965,"endHours":6.5613840827777965,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.5613840827777965,"endHours":7.5613840827777965,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.5613840827777965,"endHours":8.561384082777796,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.561384082777796,"endHours":9.561384082777796,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.561384082777796,"endHours":10.561384082777796,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.561384082777796,"endHours":11.561384082777796,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.561384082777796,"endHours":12.561384082777796,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.561384082777796,"endHours":13.561384082777796,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.561384082777796,"endHours":14.561384082777796,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.561384082777796,"endHours":15.561384082777796,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.561384082777796,"endHours":16.561384082777796,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.561384082777796,"endHours":17.561384082777796,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.561384082777796,"endHours":18.561384082777796,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.561384082777796,"endHours":19.561384082777796,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.561384082777796,"endHours":20.561384082777796,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.561384082777796,"endHours":21.561384082777796,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.561384082777796,"endHours":22.561384082777796,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.561384082777796,"endHours":23.561384082777796,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.561384082777796,"endHours":24.561384082777796,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.561384082777796,"endHours":25.561384082777796,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.561384082777796,"endHours":26.561384082777796,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.561384082777796,"endHours":27.561384082777796,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.561384082777796,"endHours":28.561384082777796,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.561384082777796,"endHours":29.561384082777796,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","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":17.545914138378397,"eotMinutes":3.6766258240534686,"ayanamsa":26.1349}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"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 Saptamī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"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 10, 2163 CE · Vṛndāvana · Vidhyamitra","description":"May 10, 2163 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 05:34, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2163-05-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2163-05-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2163-05-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2163-05-10","x-default":"https://vidhyamitra.com/city/vrindavan/2163-05-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:31:33.881Z","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":"2026-06-02T12:31:33.881Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:31:33.881Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}