{"id":"vidhyamitra:city-day:vrindavan:2161-05-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2161-05-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-05-10","date_display":"May 10, 2161 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":2161,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510478.770833,"kali_year":5263,"ahargana":1922013.2708,"sun":{"sidereal_longitude":23.2921,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":209.352,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.0598,"elapsed_within_tithi_degrees":6.0598},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.352,"elapsed_within_degrees":9.352},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6441},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2161,"month":5,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510478.770833,"ahargana":1922013.2708,"kali_year":5263,"ayanamsa_lahiri":26.107,"grahas":{"sun":{"sidereal_longitude":23.646607000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":208.48930700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-1.0217},"mars":{"sidereal_longitude":286.33620700000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":13.234507000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":225.478207,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":336.069507,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":201.32070699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":222.4875,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":42.4875,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2161,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510478.770833,"kali_year":5263,"ahargana":1922013.2708,"sun":{"sidereal_longitude":23.2921,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":209.352,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.0598,"elapsed_within_tithi_degrees":6.0598},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.352,"elapsed_within_degrees":9.352},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6441},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.022,"elongation":173.94},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.022,"opposition_distance":6.06}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":0.47,"elongation":1.974}]},"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":"18:58","solarNoonLocal":"12:16","dayLengthHours":13.410075463930887,"dayLengthDisplay":"13 Hours 24 Mins 36 Secs","nightLengthDisplay":"10 Hours 35 Mins 24 Secs","moonriseLocal":"19:13","moonsetLocal":"05:57","rahuKala":{"name":"Rāhu Kāla","start":"17:17","end":"18:58","startHours":17.29021453523986,"endHours":18.96647396823122,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:56","startHours":12.261436236265777,"endHours":13.937695669257138,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:37","end":"17:17","startHours":15.613955102248498,"endHours":17.29021453523986,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.685416112550874,"endHours":9.132418628015236,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.115151648630786,"endHours":6.472753661002277,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.814433720801414,"endHours":12.708438751730139,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.7683884424428813,"endHours":4.662393473371607,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:33","startHours":4.4388922156394255,"endHours":5.556398504300333,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.496448813587591,"endHours":15.390453844516317,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.76647396823122,"endHours":19.16647396823122,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:32","startHours":18.96647396823122,"endHours":19.525227112561673,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.71647396823122,"endHours":20.46647396823122,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.814433720801414,"endHours":24.70843875173014,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:33","end":"07:14","startHours":5.556398504300333,"endHours":7.232657937291694,"quality":"inauspicious"},{"name":"Chala","start":"07:14","end":"08:55","startHours":7.232657937291694,"endHours":8.908917370283055,"quality":"neutral"},{"name":"Labha","start":"08:55","end":"10:35","startHours":8.908917370283055,"endHours":10.585176803274415,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:16","startHours":10.585176803274415,"endHours":12.261436236265777,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:56","startHours":12.261436236265777,"endHours":13.937695669257138,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:37","startHours":13.937695669257138,"endHours":15.613955102248498,"quality":"auspicious"},{"name":"Roga","start":"15:37","end":"17:17","startHours":15.613955102248498,"endHours":17.29021453523986,"quality":"inauspicious"},{"name":"Udveg","start":"17:17","end":"18:58","startHours":17.29021453523986,"endHours":18.96647396823122,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:58","end":"20:17","startHours":18.96647396823122,"endHours":20.29021453523986,"quality":"auspicious"},{"name":"Roga","start":"20:17","end":"21:37","startHours":20.29021453523986,"endHours":21.613955102248497,"quality":"inauspicious"},{"name":"Udveg","start":"21:37","end":"22:56","startHours":21.613955102248497,"endHours":22.93769566925714,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:16","startHours":22.93769566925714,"endHours":24.261436236265777,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:35","startHours":24.261436236265777,"endHours":25.585176803274415,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"02:55","startHours":25.585176803274415,"endHours":26.908917370283056,"quality":"auspicious"},{"name":"Kāla","start":"02:55","end":"04:14","startHours":26.908917370283056,"endHours":28.232657937291695,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"05:33","startHours":28.232657937291695,"endHours":29.556398504300333,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.556398504300333,"endHours":6.556398504300333,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.556398504300333,"endHours":7.556398504300333,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.556398504300333,"endHours":8.556398504300333,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.556398504300333,"endHours":9.556398504300333,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.556398504300333,"endHours":10.556398504300333,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.556398504300333,"endHours":11.556398504300333,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.556398504300333,"endHours":12.556398504300333,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.556398504300333,"endHours":13.556398504300333,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.556398504300333,"endHours":14.556398504300333,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.556398504300333,"endHours":15.556398504300333,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.556398504300333,"endHours":16.556398504300333,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.556398504300333,"endHours":17.556398504300333,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.556398504300333,"endHours":18.556398504300333,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.556398504300333,"endHours":19.556398504300333,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.556398504300333,"endHours":20.556398504300333,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.556398504300333,"endHours":21.556398504300333,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.556398504300333,"endHours":22.556398504300333,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.556398504300333,"endHours":23.556398504300333,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.556398504300333,"endHours":24.556398504300333,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.556398504300333,"endHours":25.556398504300333,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.556398504300333,"endHours":26.556398504300333,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.556398504300333,"endHours":27.556398504300333,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.556398504300333,"endHours":28.556398504300333,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.556398504300333,"endHours":29.556398504300333,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","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":17.672663865346777,"eotMinutes":3.6766258240534686,"ayanamsa":26.107}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Pratipada · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[{"id":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha","lunar_month_system":"amanta"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]}],"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 10, 2161 CE · Vṛndāvana · Vidhyamitra","description":"May 10, 2161 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 05:33, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2161-05-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2161-05-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2161-05-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2161-05-10","x-default":"https://vidhyamitra.com/city/vrindavan/2161-05-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:30:41.229Z","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":"2026-06-01T23:30:41.229Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:30:41.229Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}