{"id":"vidhyamitra:city-day:vrindavan:2041-08-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2041-08-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-08-10","date_display":"August 10, 2041 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":2041,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466741.770833,"kali_year":5143,"ahargana":1878276.2708,"sun":{"sidereal_longitude":112.6957,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":264.8165,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1208,"elapsed_within_tithi_degrees":8.1208},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.8165,"elapsed_within_degrees":11.4832},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.5123},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2041,"month":8,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466741.770833,"ahargana":1878276.2708,"kali_year":5143,"ayanamsa_lahiri":24.4342,"grahas":{"sun":{"sidereal_longitude":113.382182,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":264.53218200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-4.0754},"mars":{"sidereal_longitude":58.53838200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":125.67728199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":181.039082,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":77.603882,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":174.51998200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":19.8843,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":199.8843,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2041,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466741.770833,"kali_year":5143,"ahargana":1878276.2708,"sun":{"sidereal_longitude":112.6957,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":264.8165,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1208,"elapsed_within_tithi_degrees":8.1208},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.8165,"elapsed_within_degrees":11.4832},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.5123},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.075,"elongation":152.121},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.075,"opposition_distance":27.879}},"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":13.240683225828526,"dayLengthDisplay":"13 Hours 14 Mins 26 Secs","nightLengthDisplay":"10 Hours 45 Mins 34 Secs","moonriseLocal":"17:15","moonsetLocal":"03:43","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.096950920332178,"endHours":10.752036323560745,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:04","end":"15:43","startHours":14.062207130017875,"endHours":15.717292533246441,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:47","end":"07:27","startHours":5.7867801138750465,"endHours":7.441865517103612,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.87627286656837,"endHours":9.317628974095987,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.338475248284569,"endHours":6.691560134306663,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.965765619261692,"endHours":12.848477834316927,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.021355683764576,"endHours":4.904067898819811,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.683389845056002,"endHours":5.7867801138750465,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.613902264427399,"endHours":15.496614479482634,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.827463339703574,"endHours":19.227463339703572,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:35","startHours":19.027463339703573,"endHours":19.579158474113093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.777463339703573,"endHours":20.527463339703573,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.965765619261692,"endHours":24.848477834316927,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:47","end":"07:27","startHours":5.7867801138750465,"endHours":7.441865517103612,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:06","startHours":7.441865517103612,"endHours":9.096950920332178,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.096950920332178,"endHours":10.752036323560745,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.752036323560745,"endHours":12.40712172678931,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:04","startHours":12.40712172678931,"endHours":14.062207130017875,"quality":"neutral"},{"name":"Labha","start":"14:04","end":"15:43","startHours":14.062207130017875,"endHours":15.717292533246441,"quality":"auspicious"},{"name":"Amṛta","start":"15:43","end":"17:22","startHours":15.717292533246441,"endHours":17.372377936475008,"quality":"auspicious"},{"name":"Kāla","start":"17:22","end":"19:02","startHours":17.372377936475008,"endHours":19.027463339703573,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:02","end":"20:22","startHours":19.027463339703573,"endHours":20.372377936475008,"quality":"auspicious"},{"name":"Amṛta","start":"20:22","end":"21:43","startHours":20.372377936475008,"endHours":21.717292533246443,"quality":"auspicious"},{"name":"Kāla","start":"21:43","end":"23:04","startHours":21.717292533246443,"endHours":23.062207130017875,"quality":"inauspicious"},{"name":"Śubha","start":"23:04","end":"00:24","startHours":23.062207130017875,"endHours":24.40712172678931,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.40712172678931,"endHours":25.752036323560745,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.752036323560745,"endHours":27.096950920332176,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:27","startHours":27.096950920332176,"endHours":28.44186551710361,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:47","startHours":28.44186551710361,"endHours":29.786780113875047,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.7867801138750465,"endHours":6.7867801138750465,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.7867801138750465,"endHours":7.7867801138750465,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.7867801138750465,"endHours":8.786780113875047,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.786780113875047,"endHours":9.786780113875047,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.786780113875047,"endHours":10.786780113875047,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.786780113875047,"endHours":11.786780113875047,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.786780113875047,"endHours":12.786780113875047,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.786780113875047,"endHours":13.786780113875047,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.786780113875047,"endHours":14.786780113875047,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.786780113875047,"endHours":15.786780113875047,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.786780113875047,"endHours":16.786780113875047,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.786780113875047,"endHours":17.786780113875047,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.786780113875047,"endHours":18.786780113875047,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.786780113875047,"endHours":19.786780113875047,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.786780113875047,"endHours":20.786780113875047,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.786780113875047,"endHours":21.786780113875047,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.786780113875047,"endHours":22.786780113875047,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.786780113875047,"endHours":23.786780113875047,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.786780113875047,"endHours":24.786780113875047,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.786780113875047,"endHours":25.786780113875047,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.786780113875047,"endHours":26.786780113875047,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.786780113875047,"endHours":27.786780113875047,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.786780113875047,"endHours":28.786780113875047,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.786780113875047,"endHours":29.786780113875047,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.490632696406275,"eotMinutes":-5.064503607358518,"ayanamsa":24.4342}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Śrāvaṇa Śukla Trayodaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2041 CE · Vṛndāvana · Vidhyamitra","description":"August 10, 2041 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 05:47, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2041-08-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2041-08-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2041-08-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2041-08-10","x-default":"https://vidhyamitra.com/city/vrindavan/2041-08-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:10:11.514Z","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":"2026-06-01T23:10:11.514Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:10:11.514Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}