{"id":"vidhyamitra:city-day:vrindavan:2117-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2117-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2117-08-31","date_display":"August 31, 2117 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":2117,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494520.770833,"kali_year":5219,"ahargana":1906055.2708,"sun":{"sidereal_longitude":131.2122,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":175.0513,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.8391,"elapsed_within_tithi_degrees":7.8391},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.0513,"elapsed_within_degrees":1.718},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.2635},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2117,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494520.770833,"ahargana":1906055.2708,"kali_year":5219,"ayanamsa_lahiri":25.4967,"grahas":{"sun":{"sidereal_longitude":132.17442,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":178.90121999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-0.5504},"mars":{"sidereal_longitude":151.54242,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":115.94492000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":345.29712,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":174.53701999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":25.29291999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":348.0192,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":168.0192,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"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":2117,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494520.770833,"kali_year":5219,"ahargana":1906055.2708,"sun":{"sidereal_longitude":131.2122,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":175.0513,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.8391,"elapsed_within_tithi_degrees":7.8391},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.0513,"elapsed_within_degrees":1.718},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.2635},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.55,"elongation":43.839},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.55,"opposition_distance":136.161}},"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":"05:57","sunsetLocal":"18:41","solarNoonLocal":"12:19","dayLengthHours":12.737479924069476,"dayLengthDisplay":"12 Hours 44 Mins 15 Secs","nightLengthDisplay":"11 Hours 15 Mins 45 Secs","moonriseLocal":"09:43","moonsetLocal":"21:09","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:06","startHours":15.504656822294248,"endHours":17.096841812802932,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:08","end":"10:44","startHours":9.13591686025951,"endHours":10.728101850768194,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:55","startHours":12.320286841276879,"endHours":13.912471831785563,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.923625528191685,"endHours":9.348208192327336,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.4822752094117035,"endHours":6.8219413407202225,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.89570417714123,"endHours":12.744869505412527,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.253216222699545,"endHours":5.1023815509708434,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:57","startHours":4.890090218903019,"endHours":5.951546879242142,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.443200161955126,"endHours":15.292365490226425,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.489026803311617,"endHours":18.889026803311616,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.689026803311616,"endHours":19.21975513348118,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.439026803311616,"endHours":20.189026803311616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.89570417714123,"endHours":24.744869505412527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:57","end":"07:33","startHours":5.951546879242142,"endHours":7.543731869750826,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:08","startHours":7.543731869750826,"endHours":9.13591686025951,"quality":"inauspicious"},{"name":"Chala","start":"09:08","end":"10:44","startHours":9.13591686025951,"endHours":10.728101850768194,"quality":"neutral"},{"name":"Labha","start":"10:44","end":"12:19","startHours":10.728101850768194,"endHours":12.320286841276879,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:55","startHours":12.320286841276879,"endHours":13.912471831785563,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:30","startHours":13.912471831785563,"endHours":15.504656822294248,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:06","startHours":15.504656822294248,"endHours":17.096841812802932,"quality":"auspicious"},{"name":"Roga","start":"17:06","end":"18:41","startHours":17.096841812802932,"endHours":18.689026803311616,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:41","end":"20:06","startHours":18.689026803311616,"endHours":20.096841812802932,"quality":"inauspicious"},{"name":"Śubha","start":"20:06","end":"21:30","startHours":20.096841812802932,"endHours":21.504656822294248,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:55","startHours":21.504656822294248,"endHours":22.912471831785563,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:19","startHours":22.912471831785563,"endHours":24.32028684127688,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:44","startHours":24.32028684127688,"endHours":25.728101850768194,"quality":"neutral"},{"name":"Labha","start":"01:44","end":"03:08","startHours":25.728101850768194,"endHours":27.13591686025951,"quality":"auspicious"},{"name":"Amṛta","start":"03:08","end":"04:33","startHours":27.13591686025951,"endHours":28.543731869750825,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"05:57","startHours":28.543731869750825,"endHours":29.95154687924214,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.951546879242142,"endHours":6.951546879242142,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.951546879242142,"endHours":7.951546879242142,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.951546879242142,"endHours":8.95154687924214,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.95154687924214,"endHours":9.95154687924214,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.95154687924214,"endHours":10.95154687924214,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.95154687924214,"endHours":11.95154687924214,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.95154687924214,"endHours":12.95154687924214,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.95154687924214,"endHours":13.95154687924214,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.95154687924214,"endHours":14.95154687924214,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.95154687924214,"endHours":15.95154687924214,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.95154687924214,"endHours":16.95154687924214,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.95154687924214,"endHours":17.95154687924214,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.95154687924214,"endHours":18.95154687924214,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.95154687924214,"endHours":19.95154687924214,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.95154687924214,"endHours":20.95154687924214,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.95154687924214,"endHours":21.95154687924214,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.95154687924214,"endHours":22.95154687924214,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.95154687924214,"endHours":23.95154687924214,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.95154687924214,"endHours":24.95154687924214,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.95154687924214,"endHours":25.95154687924214,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.95154687924214,"endHours":26.95154687924214,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.95154687924214,"endHours":27.95154687924214,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.95154687924214,"endHours":28.95154687924214,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.95154687924214,"endHours":29.95154687924214,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.691113061773052,"eotMinutes":0.14558952338733633,"ayanamsa":25.4967}},"calendars":{"vikram_samvat":2174,"vikram_samvatsara":"Vikṛti","saka_samvat":2039,"saka_samvatsara":"Īśvara","bengali_samvat":1524,"malayalam_era":1293,"nanakshahi_year":648,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2174 Vikṛti · Śaka 2039 Īśvara"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"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 August 31, 2117 CE · Vṛndāvana · Vidhyamitra","description":"August 31, 2117 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:57, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2117-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2117-08-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2117-08-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2117-08-31","x-default":"https://vidhyamitra.com/city/vrindavan/2117-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:21:03.006Z","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":"2026-05-31T14:21:03.006Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:21:03.006Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}