{"id":"vidhyamitra:city-day:vrindavan:2115-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2115-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-10-16","date_display":"October 16, 2115 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":2115,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493835.770833,"kali_year":5217,"ahargana":1905370.2708,"sun":{"sidereal_longitude":175.6539,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":154.5915,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.9376,"elapsed_within_tithi_degrees":2.9376},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.5915,"elapsed_within_degrees":7.9248},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.2454},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2115,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493835.770833,"ahargana":1905370.2708,"kali_year":5217,"ayanamsa_lahiri":25.4705,"grahas":{"sun":{"sidereal_longitude":176.67069200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":154.18739200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":3.4317},"mars":{"sidereal_longitude":168.91889200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":170.14009199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":266.341492,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":198.69289200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":354.747892,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":24.3138,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.3138,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493835.770833,"kali_year":5217,"ahargana":1905370.2708,"sun":{"sidereal_longitude":175.6539,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":154.5915,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.9376,"elapsed_within_tithi_degrees":2.9376},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.5915,"elapsed_within_degrees":7.9248},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.2454},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.432,"elongation":21.062},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.432,"opposition_distance":158.938}},"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":"06:19","sunsetLocal":"17:50","solarNoonLocal":"12:04","dayLengthHours":11.521785758847257,"dayLengthDisplay":"11 Hours 31 Mins 18 Secs","nightLengthDisplay":"12 Hours 28 Mins 42 Secs","moonriseLocal":"04:31","moonsetLocal":"16:37","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:31","startHours":12.071917840480317,"endHours":13.512141060336226,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:11","startHours":7.751248180912597,"endHours":9.191471400768505,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:04","startHours":10.631694620624412,"endHours":12.071917840480317,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.99944163812105,"endHours":9.383501163415959,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.791099367675326,"endHours":7.098346987911253,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.687858315185409,"endHours":12.455977365775226,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:33","startHours":4.7747868598770555,"endHours":5.542905910466873,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:19","startHours":5.3508761478194184,"endHours":6.31102496105669,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.99221546695486,"endHours":14.760334517544678,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.632810719903947,"endHours":18.032810719903946,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.832810719903947,"endHours":18.31288512652258,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.582810719903947,"endHours":19.332810719903947,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.68785831518541,"endHours":24.455977365775226,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:19","end":"07:45","startHours":6.31102496105669,"endHours":7.751248180912597,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:11","startHours":7.751248180912597,"endHours":9.191471400768505,"quality":"auspicious"},{"name":"Kāla","start":"09:11","end":"10:38","startHours":9.191471400768505,"endHours":10.631694620624412,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:04","startHours":10.631694620624412,"endHours":12.071917840480317,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:31","startHours":12.071917840480317,"endHours":13.512141060336226,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"14:57","startHours":13.512141060336226,"endHours":14.952364280192132,"quality":"inauspicious"},{"name":"Chala","start":"14:57","end":"16:24","startHours":14.952364280192132,"endHours":16.392587500048037,"quality":"neutral"},{"name":"Labha","start":"16:24","end":"17:50","startHours":16.392587500048037,"endHours":17.832810719903947,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:50","end":"19:24","startHours":17.832810719903947,"endHours":19.39258750004804,"quality":"inauspicious"},{"name":"Chala","start":"19:24","end":"20:57","startHours":19.39258750004804,"endHours":20.952364280192132,"quality":"neutral"},{"name":"Labha","start":"20:57","end":"22:31","startHours":20.952364280192132,"endHours":22.512141060336226,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"00:04","startHours":22.512141060336226,"endHours":24.071917840480317,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:38","startHours":24.071917840480317,"endHours":25.631694620624412,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:11","startHours":25.631694620624412,"endHours":27.191471400768506,"quality":"auspicious"},{"name":"Roga","start":"03:11","end":"04:45","startHours":27.191471400768506,"endHours":28.751248180912597,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:19","startHours":28.751248180912597,"endHours":30.311024961056688,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.31102496105669,"endHours":7.31102496105669,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.31102496105669,"endHours":8.31102496105669,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.31102496105669,"endHours":9.31102496105669,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.31102496105669,"endHours":10.31102496105669,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.31102496105669,"endHours":11.31102496105669,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.31102496105669,"endHours":12.31102496105669,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.31102496105669,"endHours":13.31102496105669,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.31102496105669,"endHours":14.31102496105669,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.31102496105669,"endHours":15.31102496105669,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.31102496105669,"endHours":16.311024961056688,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.311024961056688,"endHours":17.311024961056688,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.311024961056688,"endHours":18.311024961056688,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.311024961056688,"endHours":19.311024961056688,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.311024961056688,"endHours":20.311024961056688,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.311024961056688,"endHours":21.311024961056688,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.311024961056688,"endHours":22.311024961056688,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.311024961056688,"endHours":23.311024961056688,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.311024961056688,"endHours":24.311024961056688,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.311024961056688,"endHours":25.311024961056688,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.311024961056688,"endHours":26.311024961056688,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.311024961056688,"endHours":27.311024961056688,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.311024961056688,"endHours":28.311024961056688,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.311024961056688,"endHours":29.311024961056688,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.311024961056688,"endHours":30.311024961056688,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"South-West","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.6212183220531,"eotMinutes":15.04772957118102,"ayanamsa":25.4705}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 October 16, 2115 CE · Vṛndāvana · Vidhyamitra","description":"October 16, 2115 CE for Vṛndāvana: Kṛṣṇa Caturdaśī, sūryodaya 06:19, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2115-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2115-10-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2115-10-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2115-10-16","x-default":"https://vidhyamitra.com/city/vrindavan/2115-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T13:17:56.352Z","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":"2026-05-22T13:17:56.352Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T13:17:56.352Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}