{"id":"vidhyamitra:city-day:vrindavan:2115-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2115-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-10-21","date_display":"October 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493840.770833,"kali_year":5217,"ahargana":1905375.2708,"sun":{"sidereal_longitude":180.6216,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":221.3594,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7378,"elapsed_within_tithi_degrees":4.7378},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":221.3594,"elapsed_within_degrees":8.0261},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.981},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2115,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493840.770833,"ahargana":1905375.2708,"kali_year":5217,"ayanamsa_lahiri":25.4707,"grahas":{"sun":{"sidereal_longitude":181.62880099999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":220.15020099999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-1.3377},"mars":{"sidereal_longitude":172.20370100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":178.73030100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":266.79590099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":204.867701,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":354.354601,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":24.0488,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.0488,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493840.770833,"kali_year":5217,"ahargana":1905375.2708,"sun":{"sidereal_longitude":180.6216,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":221.3594,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7378,"elapsed_within_tithi_degrees":4.7378},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":221.3594,"elapsed_within_degrees":8.0261},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.981},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.338,"elongation":40.738},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.338,"opposition_distance":139.262}},"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":"06:22","sunsetLocal":"17:45","solarNoonLocal":"12:04","dayLengthHours":11.392063482991112,"dayLengthDisplay":"11 Hours 23 Mins 31 Secs","nightLengthDisplay":"12 Hours 36 Mins 29 Secs","moonriseLocal":"09:22","moonsetLocal":"19:54","rahuKala":{"name":"Rāhu Kāla","start":"07:47","end":"09:13","startHours":7.78686585109992,"endHours":9.210873786473808,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:04","startHours":10.634881721847698,"endHours":12.058889657221588,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:54","startHours":13.482897592595476,"endHours":14.906905527969364,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.02100606175729,"endHours":9.400741511190327,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.837527227517327,"endHours":7.141315587063757,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.679154207788551,"endHours":12.438625106654625,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:36","startHours":4.843916117993883,"endHours":5.603387016859957,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.413519292143438,"endHours":6.362857915726031,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.957566904386773,"endHours":14.717037803252847,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.554921398717145,"endHours":17.954921398717143,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.754921398717144,"endHours":18.22959071050844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.504921398717144,"endHours":19.254921398717144,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.67915420778855,"endHours":24.438625106654627,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:22","end":"07:47","startHours":6.362857915726031,"endHours":7.78686585109992,"quality":"auspicious"},{"name":"Kāla","start":"07:47","end":"09:13","startHours":7.78686585109992,"endHours":9.210873786473808,"quality":"inauspicious"},{"name":"Śubha","start":"09:13","end":"10:38","startHours":9.210873786473808,"endHours":10.634881721847698,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:04","startHours":10.634881721847698,"endHours":12.058889657221588,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:29","startHours":12.058889657221588,"endHours":13.482897592595476,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:54","startHours":13.482897592595476,"endHours":14.906905527969364,"quality":"neutral"},{"name":"Labha","start":"14:54","end":"16:20","startHours":14.906905527969364,"endHours":16.330913463343254,"quality":"auspicious"},{"name":"Amṛta","start":"16:20","end":"17:45","startHours":16.330913463343254,"endHours":17.754921398717144,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:45","end":"19:20","startHours":17.754921398717144,"endHours":19.330913463343254,"quality":"neutral"},{"name":"Labha","start":"19:20","end":"20:54","startHours":19.330913463343254,"endHours":20.906905527969364,"quality":"auspicious"},{"name":"Amṛta","start":"20:54","end":"22:29","startHours":20.906905527969364,"endHours":22.482897592595478,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:04","startHours":22.482897592595478,"endHours":24.058889657221588,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:38","startHours":24.058889657221588,"endHours":25.634881721847698,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:13","startHours":25.634881721847698,"endHours":27.21087378647381,"quality":"inauspicious"},{"name":"Udveg","start":"03:13","end":"04:47","startHours":27.21087378647381,"endHours":28.786865851099922,"quality":"inauspicious"},{"name":"Chala","start":"04:47","end":"06:22","startHours":28.786865851099922,"endHours":30.362857915726032,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.362857915726031,"endHours":7.362857915726031,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.362857915726031,"endHours":8.362857915726032,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.362857915726032,"endHours":9.362857915726032,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.362857915726032,"endHours":10.362857915726032,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.362857915726032,"endHours":11.362857915726032,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.362857915726032,"endHours":12.362857915726032,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.362857915726032,"endHours":13.362857915726032,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.362857915726032,"endHours":14.362857915726032,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.362857915726032,"endHours":15.362857915726032,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.362857915726032,"endHours":16.362857915726032,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.362857915726032,"endHours":17.362857915726032,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.362857915726032,"endHours":18.362857915726032,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.362857915726032,"endHours":19.362857915726032,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.362857915726032,"endHours":20.362857915726032,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.362857915726032,"endHours":21.362857915726032,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.362857915726032,"endHours":22.362857915726032,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.362857915726032,"endHours":23.362857915726032,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.362857915726032,"endHours":24.362857915726032,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.362857915726032,"endHours":25.362857915726032,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.362857915726032,"endHours":26.362857915726032,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.362857915726032,"endHours":27.362857915726032,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.362857915726032,"endHours":28.362857915726032,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.362857915726032,"endHours":29.362857915726032,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.362857915726032,"endHours":30.362857915726032,"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.4386104874898,"eotMinutes":15.829420566704727,"ayanamsa":25.4707}},"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 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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 21, 2115 CE · Vṛndāvana · Vidhyamitra","description":"October 21, 2115 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:22, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2115-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2115-10-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2115-10-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2115-10-21","x-default":"https://vidhyamitra.com/city/vrindavan/2115-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:53:48.587Z","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":"2026-05-31T22:53:48.587Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:53:48.587Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}