{"id":"vidhyamitra:city-day:vrindavan:2064-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2064-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-10-16","date_display":"October 16, 2064 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":2064,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475209.770833,"kali_year":5166,"ahargana":1886744.2708,"sun":{"sidereal_longitude":177.8341,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":250.9989,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1648,"elapsed_within_tithi_degrees":1.1648},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.9989,"elapsed_within_degrees":10.9989},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.833},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2064,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475209.770833,"ahargana":1886744.2708,"kali_year":5166,"ayanamsa_lahiri":24.7581,"grahas":{"sun":{"sidereal_longitude":178.72394200000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":254.862442,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-2.9034},"mars":{"sidereal_longitude":148.59954200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":194.10174200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":176.27644199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":215.05784200000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":107.069142,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":291.2089,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.2089,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2064,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475209.770833,"kali_year":5166,"ahargana":1886744.2708,"sun":{"sidereal_longitude":177.8341,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":250.9989,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1648,"elapsed_within_tithi_degrees":1.1648},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.9989,"elapsed_within_degrees":10.9989},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.833},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.903,"elongation":73.165},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.903,"opposition_distance":106.835}},"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":"06:20","sunsetLocal":"17:49","solarNoonLocal":"12:04","dayLengthHours":11.486410883156255,"dayLengthDisplay":"11 Hours 29 Mins 11 Secs","nightLengthDisplay":"12 Hours 30 Mins 49 Secs","moonriseLocal":"11:57","moonsetLocal":"22:20","rahuKala":{"name":"Rāhu Kāla","start":"13:30","end":"14:57","startHours":13.507719200874849,"endHours":14.94352056126938,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:20","end":"07:46","startHours":6.328712398902189,"endHours":7.764513759296721,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:12","end":"10:38","startHours":9.200315119691252,"endHours":10.636116480085786,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.008874938305315,"endHours":9.39175530107719,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.8073128523670325,"endHours":7.113617142584532,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.689037477708442,"endHours":12.454798203252192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.797190947814689,"endHours":5.562951673358438,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:20","startHours":5.371511491972501,"endHours":6.328712398902189,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.986319654339692,"endHours":14.752080379883441,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.615123282058445,"endHours":18.015123282058443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:18","startHours":17.815123282058444,"endHours":18.293723735523287,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.565123282058444,"endHours":19.315123282058444,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.689037477708442,"endHours":24.454798203252192,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:20","end":"07:46","startHours":6.328712398902189,"endHours":7.764513759296721,"quality":"auspicious"},{"name":"Roga","start":"07:46","end":"09:12","startHours":7.764513759296721,"endHours":9.200315119691252,"quality":"inauspicious"},{"name":"Udveg","start":"09:12","end":"10:38","startHours":9.200315119691252,"endHours":10.636116480085786,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:04","startHours":10.636116480085786,"endHours":12.071917840480317,"quality":"neutral"},{"name":"Labha","start":"12:04","end":"13:30","startHours":12.071917840480317,"endHours":13.507719200874849,"quality":"auspicious"},{"name":"Amṛta","start":"13:30","end":"14:57","startHours":13.507719200874849,"endHours":14.94352056126938,"quality":"auspicious"},{"name":"Kāla","start":"14:57","end":"16:23","startHours":14.94352056126938,"endHours":16.379321921663912,"quality":"inauspicious"},{"name":"Śubha","start":"16:23","end":"17:49","startHours":16.379321921663912,"endHours":17.815123282058444,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:49","end":"19:23","startHours":17.815123282058444,"endHours":19.379321921663912,"quality":"auspicious"},{"name":"Kāla","start":"19:23","end":"20:57","startHours":19.379321921663912,"endHours":20.94352056126938,"quality":"inauspicious"},{"name":"Śubha","start":"20:57","end":"22:30","startHours":20.94352056126938,"endHours":22.50771920087485,"quality":"auspicious"},{"name":"Roga","start":"22:30","end":"00:04","startHours":22.50771920087485,"endHours":24.071917840480317,"quality":"inauspicious"},{"name":"Udveg","start":"00:04","end":"01:38","startHours":24.071917840480317,"endHours":25.636116480085786,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:12","startHours":25.636116480085786,"endHours":27.200315119691254,"quality":"neutral"},{"name":"Labha","start":"03:12","end":"04:46","startHours":27.200315119691254,"endHours":28.76451375929672,"quality":"auspicious"},{"name":"Amṛta","start":"04:46","end":"06:20","startHours":28.76451375929672,"endHours":30.32871239890219,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.328712398902189,"endHours":7.328712398902189,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.328712398902189,"endHours":8.328712398902189,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.328712398902189,"endHours":9.328712398902189,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.328712398902189,"endHours":10.328712398902189,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.328712398902189,"endHours":11.328712398902189,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.328712398902189,"endHours":12.328712398902189,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.328712398902189,"endHours":13.328712398902189,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.328712398902189,"endHours":14.328712398902189,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.328712398902189,"endHours":15.328712398902189,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.328712398902189,"endHours":16.32871239890219,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.32871239890219,"endHours":17.32871239890219,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.32871239890219,"endHours":18.32871239890219,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.32871239890219,"endHours":19.32871239890219,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.32871239890219,"endHours":20.32871239890219,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.32871239890219,"endHours":21.32871239890219,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.32871239890219,"endHours":22.32871239890219,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.32871239890219,"endHours":23.32871239890219,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.32871239890219,"endHours":24.32871239890219,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.32871239890219,"endHours":25.32871239890219,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.32871239890219,"endHours":26.32871239890219,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.32871239890219,"endHours":27.32871239890219,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.32871239890219,"endHours":28.32871239890219,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.32871239890219,"endHours":29.32871239890219,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.32871239890219,"endHours":30.32871239890219,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","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":-9.118746000600177,"eotMinutes":15.04772957118102,"ayanamsa":24.7581}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2064 CE · Vṛndāvana · Vidhyamitra","description":"October 16, 2064 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 06:20, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2064-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2064-10-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2064-10-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2064-10-16","x-default":"https://vidhyamitra.com/city/vrindavan/2064-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:17:09.098Z","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":"2026-06-03T00:17:09.098Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:17:09.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}