{"id":"vidhyamitra:city-day:vrindavan:2112-08-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2112-08-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-08-10","date_display":"August 10, 2112 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":2112,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492673.770833,"kali_year":5214,"ahargana":1904208.2708,"sun":{"sidereal_longitude":111.3881,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":317.2928,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.9047,"elapsed_within_tithi_degrees":1.9047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.2928,"elapsed_within_degrees":10.6261},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6808},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2112,"month":8,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492673.770833,"ahargana":1904208.2708,"kali_year":5214,"ayanamsa_lahiri":25.426,"grahas":{"sun":{"sidereal_longitude":112.238989,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":320.405489,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-3.516},"mars":{"sidereal_longitude":247.31698900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":99.963189,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":175.21408900000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":135.052689,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":318.5671890000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":85.8821,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.8821,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":2112,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492673.770833,"kali_year":5214,"ahargana":1904208.2708,"sun":{"sidereal_longitude":111.3881,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":317.2928,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.9047,"elapsed_within_tithi_degrees":1.9047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.2928,"elapsed_within_degrees":10.6261},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6808},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.516,"elongation":154.095},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.516,"opposition_distance":25.905}},"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":"05:47","sunsetLocal":"19:02","solarNoonLocal":"12:24","dayLengthHours":13.244226202404228,"dayLengthDisplay":"13 Hours 14 Mins 39 Secs","nightLengthDisplay":"10 Hours 45 Mins 21 Secs","moonriseLocal":"20:26","moonsetLocal":"08:08","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"14:04","startHours":12.40712172678931,"endHours":14.062650002089839,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:26","end":"09:06","startHours":7.440536900887724,"endHours":9.096065176188253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:24","startHours":10.75159345148878,"endHours":12.40712172678931,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.875328072814849,"endHours":9.316802279561657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.336851384020705,"endHours":6.690030749418152,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.965647520042502,"endHours":12.848595933536117,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.019111798599965,"endHours":4.902060212093581,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.681323108720177,"endHours":5.785008625587196,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.614492760523348,"endHours":15.497441174016963,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.829234827991424,"endHours":19.229234827991423,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:35","startHours":19.029234827991424,"endHours":19.581077586424932,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.779234827991424,"endHours":20.529234827991424,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.965647520042502,"endHours":24.848595933536117,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:47","end":"07:26","startHours":5.785008625587196,"endHours":7.440536900887724,"quality":"auspicious"},{"name":"Amṛta","start":"07:26","end":"09:06","startHours":7.440536900887724,"endHours":9.096065176188253,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:45","startHours":9.096065176188253,"endHours":10.75159345148878,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:24","startHours":10.75159345148878,"endHours":12.40712172678931,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"14:04","startHours":12.40712172678931,"endHours":14.062650002089839,"quality":"inauspicious"},{"name":"Udveg","start":"14:04","end":"15:43","startHours":14.062650002089839,"endHours":15.718178277390367,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:22","startHours":15.718178277390367,"endHours":17.373706552690894,"quality":"neutral"},{"name":"Labha","start":"17:22","end":"19:02","startHours":17.373706552690894,"endHours":19.029234827991424,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:02","end":"20:22","startHours":19.029234827991424,"endHours":20.373706552690894,"quality":"inauspicious"},{"name":"Chala","start":"20:22","end":"21:43","startHours":20.373706552690894,"endHours":21.718178277390365,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:04","startHours":21.718178277390365,"endHours":23.06265000208984,"quality":"auspicious"},{"name":"Amṛta","start":"23:04","end":"00:24","startHours":23.06265000208984,"endHours":24.40712172678931,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"01:45","startHours":24.40712172678931,"endHours":25.75159345148878,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:06","startHours":25.75159345148878,"endHours":27.096065176188254,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:26","startHours":27.096065176188254,"endHours":28.440536900887725,"quality":"inauspicious"},{"name":"Udveg","start":"04:26","end":"05:47","startHours":28.440536900887725,"endHours":29.785008625587196,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.785008625587196,"endHours":6.785008625587196,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.785008625587196,"endHours":7.785008625587196,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.785008625587196,"endHours":8.785008625587196,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.785008625587196,"endHours":9.785008625587196,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.785008625587196,"endHours":10.785008625587196,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.785008625587196,"endHours":11.785008625587196,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.785008625587196,"endHours":12.785008625587196,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.785008625587196,"endHours":13.785008625587196,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.785008625587196,"endHours":14.785008625587196,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.785008625587196,"endHours":15.785008625587196,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.785008625587196,"endHours":16.785008625587196,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.785008625587196,"endHours":17.785008625587196,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.785008625587196,"endHours":18.785008625587196,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.785008625587196,"endHours":19.785008625587196,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.785008625587196,"endHours":20.785008625587196,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.785008625587196,"endHours":21.785008625587196,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.785008625587196,"endHours":22.785008625587196,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.785008625587196,"endHours":23.785008625587196,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.785008625587196,"endHours":24.785008625587196,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.785008625587196,"endHours":25.785008625587196,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.785008625587196,"endHours":26.785008625587196,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.785008625587196,"endHours":27.785008625587196,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.785008625587196,"endHours":28.785008625587196,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.785008625587196,"endHours":29.785008625587196,"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.536882587028146,"eotMinutes":-5.064503607358518,"ayanamsa":25.426}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"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":[]},"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 August 10, 2112 CE · Vṛndāvana · Vidhyamitra","description":"August 10, 2112 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:47, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2112-08-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2112-08-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2112-08-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2112-08-10","x-default":"https://vidhyamitra.com/city/vrindavan/2112-08-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:42:18.640Z","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":"2026-06-02T13:42:18.640Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:42:18.640Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}