{"id":"vidhyamitra:city-day:vrindavan:2116-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-10-10","date_display":"October 10, 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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494195.770833,"kali_year":5218,"ahargana":1905730.2708,"sun":{"sidereal_longitude":170.4482,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":218.7415,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2934,"elapsed_within_tithi_degrees":0.2934},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.7415,"elapsed_within_degrees":5.4082},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.1897},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2116,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494195.770833,"ahargana":1905730.2708,"kali_year":5218,"ayanamsa_lahiri":25.4842,"grahas":{"sun":{"sidereal_longitude":171.47463700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":220.210737,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-2.4821},"mars":{"sidereal_longitude":42.41153700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":174.67973699999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":300.419437,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":136.99883699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":9.532037000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.2392,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.2392,"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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494195.770833,"kali_year":5218,"ahargana":1905730.2708,"sun":{"sidereal_longitude":170.4482,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":218.7415,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2934,"elapsed_within_tithi_degrees":0.2934},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.7415,"elapsed_within_degrees":5.4082},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.1897},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.482,"elongation":48.293},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.482,"opposition_distance":131.707}},"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":"06:16","sunsetLocal":"17:55","solarNoonLocal":"12:06","dayLengthHours":11.660237355825124,"dayLengthDisplay":"11 Hours 39 Mins 37 Secs","nightLengthDisplay":"12 Hours 20 Mins 23 Secs","moonriseLocal":"10:05","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:38","startHours":9.178596559844225,"endHours":10.636126229322365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"15:01","startHours":13.551185568278648,"endHours":15.008715237756787,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:16","end":"07:43","startHours":6.263537220887944,"endHours":7.721066890366084,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.984259270580473,"endHours":9.372933849107977,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.749380444047324,"endHours":7.060320106869327,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.704981320273001,"endHours":12.482330477328011,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.7088389067779275,"endHours":5.486188063832936,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.291850774569183,"endHours":6.263537220887944,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:49","startHours":14.037028791438026,"endHours":14.814377948493034,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.72377457671307,"endHours":18.123774576713068,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:25","startHours":17.92377457671307,"endHours":18.40961779987245,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.67377457671307,"endHours":19.42377457671307,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.704981320273003,"endHours":24.48233047732801,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:16","end":"07:43","startHours":6.263537220887944,"endHours":7.721066890366084,"quality":"inauspicious"},{"name":"Śubha","start":"07:43","end":"09:11","startHours":7.721066890366084,"endHours":9.178596559844225,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:38","startHours":9.178596559844225,"endHours":10.636126229322365,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:06","startHours":10.636126229322365,"endHours":12.093655898800506,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:33","startHours":12.093655898800506,"endHours":13.551185568278648,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"15:01","startHours":13.551185568278648,"endHours":15.008715237756787,"quality":"auspicious"},{"name":"Amṛta","start":"15:01","end":"16:28","startHours":15.008715237756787,"endHours":16.466244907234927,"quality":"auspicious"},{"name":"Kāla","start":"16:28","end":"17:55","startHours":16.466244907234927,"endHours":17.92377457671307,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:55","end":"19:28","startHours":17.92377457671307,"endHours":19.466244907234927,"quality":"auspicious"},{"name":"Amṛta","start":"19:28","end":"21:01","startHours":19.466244907234927,"endHours":21.00871523775679,"quality":"auspicious"},{"name":"Kāla","start":"21:01","end":"22:33","startHours":21.00871523775679,"endHours":22.551185568278648,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"00:06","startHours":22.551185568278648,"endHours":24.093655898800506,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:38","startHours":24.093655898800506,"endHours":25.636126229322365,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:11","startHours":25.636126229322365,"endHours":27.178596559844223,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:43","startHours":27.178596559844223,"endHours":28.721066890366085,"quality":"neutral"},{"name":"Labha","start":"04:43","end":"06:16","startHours":28.721066890366085,"endHours":30.263537220887944,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.263537220887944,"endHours":7.263537220887944,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.263537220887944,"endHours":8.263537220887944,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.263537220887944,"endHours":9.263537220887944,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.263537220887944,"endHours":10.263537220887944,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.263537220887944,"endHours":11.263537220887944,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.263537220887944,"endHours":12.263537220887944,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.263537220887944,"endHours":13.263537220887944,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.263537220887944,"endHours":14.263537220887944,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.263537220887944,"endHours":15.263537220887944,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.263537220887944,"endHours":16.263537220887944,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.263537220887944,"endHours":17.263537220887944,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.263537220887944,"endHours":18.263537220887944,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.263537220887944,"endHours":19.263537220887944,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.263537220887944,"endHours":20.263537220887944,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.263537220887944,"endHours":21.263537220887944,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.263537220887944,"endHours":22.263537220887944,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.263537220887944,"endHours":23.263537220887944,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.263537220887944,"endHours":24.263537220887944,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.263537220887944,"endHours":25.263537220887944,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.263537220887944,"endHours":26.263537220887944,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.263537220887944,"endHours":27.263537220887944,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.263537220887944,"endHours":28.263537220887944,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.263537220887944,"endHours":29.263537220887944,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.263537220887944,"endHours":30.263537220887944,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","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":-6.662023919799582,"eotMinutes":13.743446071969673,"ayanamsa":25.4842}},"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 Pañcamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"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 October 10, 2116 CE · Vṛndāvana · Vidhyamitra","description":"October 10, 2116 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 06:16, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-10-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-10-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-10-10","x-default":"https://vidhyamitra.com/city/vrindavan/2116-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:05:29.381Z","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":"2026-06-01T01:05:29.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:05:29.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}