{"id":"vidhyamitra:city-day:vrindavan:2157-10-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2157-10-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-10-17","date_display":"October 17, 2157 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":2157,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509177.770833,"kali_year":5259,"ahargana":1920712.2708,"sun":{"sidereal_longitude":176.7773,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":338.6984,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.9211,"elapsed_within_tithi_degrees":5.9211},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.6984,"elapsed_within_degrees":5.3651},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4756},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2157,"month":10,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509177.770833,"ahargana":1920712.2708,"kali_year":5259,"ayanamsa_lahiri":26.0572,"grahas":{"sun":{"sidereal_longitude":177.894315,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":338.896615,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.3044},"mars":{"sidereal_longitude":244.610315,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":199.50701500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":128.46781499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":218.12051500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":161.34671500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":291.4208,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.4208,"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":2157,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509177.770833,"kali_year":5259,"ahargana":1920712.2708,"sun":{"sidereal_longitude":176.7773,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":338.6984,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.9211,"elapsed_within_tithi_degrees":5.9211},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.6984,"elapsed_within_degrees":5.3651},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4756},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.304,"elongation":161.921},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.304,"opposition_distance":18.079}},"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":"17:48","solarNoonLocal":"12:04","dayLengthHours":11.47407403759884,"dayLengthDisplay":"11 Hours 28 Mins 27 Secs","nightLengthDisplay":"12 Hours 31 Mins 33 Secs","moonriseLocal":"16:41","moonsetLocal":"04:55","rahuKala":{"name":"Rāhu Kāla","start":"07:46","end":"09:12","startHours":7.766145243199971,"endHours":9.200404497899825,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:04","startHours":10.634663752599682,"endHours":12.068923007299535,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:56","startHours":13.503182261999392,"endHours":14.937441516699245,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:23","startHours":9.009169930606511,"endHours":9.39163906519314,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:07","startHours":6.809972406733401,"endHours":7.1159477144027035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.686453872712907,"endHours":12.451392141886164,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.802009450153604,"endHours":5.56694771932686,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:23","end":"06:20","startHours":5.375713152033546,"endHours":6.331885988500116,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.981268680232676,"endHours":14.74620694940593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.605960026098955,"endHours":18.005960026098954,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:17","startHours":17.805960026098955,"endHours":18.28404644433224,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.555960026098955,"endHours":19.305960026098955,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.686453872712907,"endHours":24.451392141886164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:20","end":"07:46","startHours":6.331885988500116,"endHours":7.766145243199971,"quality":"auspicious"},{"name":"Kāla","start":"07:46","end":"09:12","startHours":7.766145243199971,"endHours":9.200404497899825,"quality":"inauspicious"},{"name":"Śubha","start":"09:12","end":"10:38","startHours":9.200404497899825,"endHours":10.634663752599682,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:04","startHours":10.634663752599682,"endHours":12.068923007299535,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:30","startHours":12.068923007299535,"endHours":13.503182261999392,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:56","startHours":13.503182261999392,"endHours":14.937441516699245,"quality":"neutral"},{"name":"Labha","start":"14:56","end":"16:22","startHours":14.937441516699245,"endHours":16.3717007713991,"quality":"auspicious"},{"name":"Amṛta","start":"16:22","end":"17:48","startHours":16.3717007713991,"endHours":17.805960026098955,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:48","end":"19:22","startHours":17.805960026098955,"endHours":19.371700771399098,"quality":"neutral"},{"name":"Labha","start":"19:22","end":"20:56","startHours":19.371700771399098,"endHours":20.937441516699245,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:30","startHours":20.937441516699245,"endHours":22.50318226199939,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:04","startHours":22.50318226199939,"endHours":24.068923007299535,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:38","startHours":24.068923007299535,"endHours":25.63466375259968,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:12","startHours":25.63466375259968,"endHours":27.200404497899825,"quality":"inauspicious"},{"name":"Udveg","start":"03:12","end":"04:46","startHours":27.200404497899825,"endHours":28.766145243199972,"quality":"inauspicious"},{"name":"Chala","start":"04:46","end":"06:20","startHours":28.766145243199972,"endHours":30.331885988500115,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.331885988500116,"endHours":7.331885988500116,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.331885988500116,"endHours":8.331885988500115,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.331885988500115,"endHours":9.331885988500115,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.331885988500115,"endHours":10.331885988500115,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.331885988500115,"endHours":11.331885988500115,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.331885988500115,"endHours":12.331885988500115,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.331885988500115,"endHours":13.331885988500115,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.331885988500115,"endHours":14.331885988500115,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.331885988500115,"endHours":15.331885988500115,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.331885988500115,"endHours":16.331885988500115,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.331885988500115,"endHours":17.331885988500115,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.331885988500115,"endHours":18.331885988500115,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.331885988500115,"endHours":19.331885988500115,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.331885988500115,"endHours":20.331885988500115,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.331885988500115,"endHours":21.331885988500115,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.331885988500115,"endHours":22.331885988500115,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.331885988500115,"endHours":23.331885988500115,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.331885988500115,"endHours":24.331885988500115,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.331885988500115,"endHours":25.331885988500115,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.331885988500115,"endHours":26.331885988500115,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.331885988500115,"endHours":27.331885988500115,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.331885988500115,"endHours":28.331885988500115,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.331885988500115,"endHours":29.331885988500115,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.331885988500115,"endHours":30.331885988500115,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.29193076374989,"eotMinutes":15.227419562027912,"ayanamsa":26.0572}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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 Caturdaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 17, 2157 CE · Vṛndāvana · Vidhyamitra","description":"October 17, 2157 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 06:20, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2157-10-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2157-10-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2157-10-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2157-10-17","x-default":"https://vidhyamitra.com/city/vrindavan/2157-10-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:50:15.207Z","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":"2026-05-31T21:50:15.207Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:50:15.207Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}