{"id":"vidhyamitra:city-day:vrindavan:2116-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-10-13","date_display":"October 13, 2116 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":2116,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494198.770833,"kali_year":5218,"ahargana":1905733.2708,"sun":{"sidereal_longitude":173.4155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.5069,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0914,"elapsed_within_tithi_degrees":11.0914},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.5069,"elapsed_within_degrees":3.1736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.9224},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2116,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494198.770833,"ahargana":1905733.2708,"kali_year":5218,"ayanamsa_lahiri":25.4843,"grahas":{"sun":{"sidereal_longitude":174.43882299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":258.852123,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.2652},"mars":{"sidereal_longitude":42.62712299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":179.648323,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":300.300923,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":140.640423,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":9.308022999999991,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.0803,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.0803,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2116,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494198.770833,"kali_year":5218,"ahargana":1905733.2708,"sun":{"sidereal_longitude":173.4155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.5069,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0914,"elapsed_within_tithi_degrees":11.0914},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.5069,"elapsed_within_degrees":3.1736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.9224},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.265,"elongation":83.091},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.265,"opposition_distance":96.909}},"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":"06:17","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.580728678881044,"dayLengthDisplay":"11 Hours 34 Mins 51 Secs","nightLengthDisplay":"12 Hours 25 Mins 09 Secs","moonriseLocal":"12:30","moonsetLocal":"22:55","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:25","startHours":14.97718834958567,"endHours":16.4247794344458,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:38","startHours":9.186824010145148,"endHours":10.634415095005277,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529597264725538,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.993811865497129,"endHours":9.379836154793164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.77417220204493,"endHours":7.082991633481758,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.695981890569374,"endHours":12.468030469161445,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.747544683240747,"endHours":5.519593261832817,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.3265811171848,"endHours":6.291641840424886,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.012127626345583,"endHours":14.784176204937653,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.672370519305932,"endHours":18.07237051930593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.87237051930593,"endHours":18.354900880925975,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.62237051930593,"endHours":19.37237051930593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.695981890569374,"endHours":24.468030469161445,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:17","end":"07:44","startHours":6.291641840424886,"endHours":7.739232925285017,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:11","startHours":7.739232925285017,"endHours":9.186824010145148,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:38","startHours":9.186824010145148,"endHours":10.634415095005277,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:05","startHours":10.634415095005277,"endHours":12.08200617986541,"quality":"auspicious"},{"name":"Amṛta","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529597264725538,"quality":"auspicious"},{"name":"Kāla","start":"13:32","end":"14:59","startHours":13.529597264725538,"endHours":14.97718834958567,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:25","startHours":14.97718834958567,"endHours":16.4247794344458,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:52","startHours":16.4247794344458,"endHours":17.87237051930593,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:52","end":"19:25","startHours":17.87237051930593,"endHours":19.424779434445803,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"20:59","startHours":19.424779434445803,"endHours":20.97718834958567,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:32","startHours":20.97718834958567,"endHours":22.52959726472554,"quality":"inauspicious"},{"name":"Udveg","start":"22:32","end":"00:05","startHours":22.52959726472554,"endHours":24.08200617986541,"quality":"inauspicious"},{"name":"Chala","start":"00:05","end":"01:38","startHours":24.08200617986541,"endHours":25.63441509500528,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:11","startHours":25.63441509500528,"endHours":27.18682401014515,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:44","startHours":27.18682401014515,"endHours":28.739232925285016,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:17","startHours":28.739232925285016,"endHours":30.291641840424887,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.291641840424886,"endHours":7.291641840424886,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.291641840424886,"endHours":8.291641840424887,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.291641840424887,"endHours":9.291641840424887,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.291641840424887,"endHours":10.291641840424887,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.291641840424887,"endHours":11.291641840424887,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.291641840424887,"endHours":12.291641840424887,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.291641840424887,"endHours":13.291641840424887,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.291641840424887,"endHours":14.291641840424887,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.291641840424887,"endHours":15.291641840424887,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.291641840424887,"endHours":16.291641840424887,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.291641840424887,"endHours":17.291641840424887,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.291641840424887,"endHours":18.291641840424887,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.291641840424887,"endHours":19.291641840424887,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.291641840424887,"endHours":20.291641840424887,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.291641840424887,"endHours":21.291641840424887,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.291641840424887,"endHours":22.291641840424887,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.291641840424887,"endHours":23.291641840424887,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.291641840424887,"endHours":24.291641840424887,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.291641840424887,"endHours":25.291641840424887,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.291641840424887,"endHours":26.291641840424887,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.291641840424887,"endHours":27.291641840424887,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.291641840424887,"endHours":28.291641840424887,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.291641840424887,"endHours":29.291641840424887,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.291641840424887,"endHours":30.291641840424887,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.7893212129156515,"eotMinutes":14.442429208075392,"ayanamsa":25.4843}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Saptamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"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 October 13, 2116 CE · Vṛndāvana · Vidhyamitra","description":"October 13, 2116 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-10-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-10-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-10-13","x-default":"https://vidhyamitra.com/city/vrindavan/2116-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:21:26.645Z","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":"2026-05-31T14:21:26.645Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:21:26.645Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}