{"id":"vidhyamitra:city-day:vrindavan:2115-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2115-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-17","date_display":"December 17, 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":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493897.770833,"kali_year":5217,"ahargana":1905432.2708,"sun":{"sidereal_longitude":238.3462,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":250.5638,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.2176,"elapsed_within_tithi_degrees":0.2176},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.5638,"elapsed_within_degrees":10.5638},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.9101},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2115,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493897.770833,"ahargana":1905432.2708,"kali_year":5217,"ayanamsa_lahiri":25.4728,"grahas":{"sun":{"sidereal_longitude":239.01032299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":248.85402299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-3.4221},"mars":{"sidereal_longitude":210.57552299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":253.465423,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":275.98002299999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":274.78312299999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":351.509623,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":21.0287,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.0287,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"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":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493897.770833,"kali_year":5217,"ahargana":1905432.2708,"sun":{"sidereal_longitude":238.3462,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":250.5638,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.2176,"elapsed_within_tithi_degrees":0.2176},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.5638,"elapsed_within_degrees":10.5638},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.9101},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.422,"elongation":12.218},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.422,"opposition_distance":167.782}},"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":"07:04","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.405663896103086,"dayLengthDisplay":"10 Hours 24 Mins 20 Secs","nightLengthDisplay":"13 Hours 35 Mins 40 Secs","moonriseLocal":"07:45","moonsetLocal":"18:06","rahuKala":{"name":"Rāhu Kāla","start":"14:52","end":"16:10","startHours":14.869906492740633,"endHours":16.170614479753517,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:58","startHours":9.66707454468909,"endHours":10.967782531701975,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:34","startHours":12.26849051871486,"endHours":13.569198505727746,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.49364681308737,"endHours":9.840502276290806,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.499227899667613,"endHours":7.7767122702303615,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.921635055511423,"endHours":12.615345981918296,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:22","startHours":5.678236717849573,"endHours":6.371947644256445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.198519912654727,"endHours":7.0656585706633175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.00276783473204,"endHours":14.696478761138913,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.271322466766403,"endHours":17.6713224667664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.471322466766402,"endHours":17.9048917957707,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.221322466766402,"endHours":18.971322466766402,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.921635055511423,"endHours":24.615345981918296,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:04","end":"08:22","startHours":7.0656585706633175,"endHours":8.366366557676203,"quality":"inauspicious"},{"name":"Udveg","start":"08:22","end":"09:40","startHours":8.366366557676203,"endHours":9.66707454468909,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:58","startHours":9.66707454468909,"endHours":10.967782531701975,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:16","startHours":10.967782531701975,"endHours":12.26849051871486,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:34","startHours":12.26849051871486,"endHours":13.569198505727746,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"14:52","startHours":13.569198505727746,"endHours":14.869906492740633,"quality":"inauspicious"},{"name":"Śubha","start":"14:52","end":"16:10","startHours":14.869906492740633,"endHours":16.170614479753517,"quality":"auspicious"},{"name":"Roga","start":"16:10","end":"17:28","startHours":16.170614479753517,"endHours":17.471322466766402,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:28","end":"19:10","startHours":17.471322466766402,"endHours":19.170614479753517,"quality":"inauspicious"},{"name":"Śubha","start":"19:10","end":"20:52","startHours":19.170614479753517,"endHours":20.869906492740633,"quality":"auspicious"},{"name":"Roga","start":"20:52","end":"22:34","startHours":20.869906492740633,"endHours":22.569198505727744,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"00:16","startHours":22.569198505727744,"endHours":24.26849051871486,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:58","startHours":24.26849051871486,"endHours":25.967782531701975,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:40","startHours":25.967782531701975,"endHours":27.667074544689086,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:22","startHours":27.667074544689086,"endHours":29.3663665576762,"quality":"auspicious"},{"name":"Kāla","start":"05:22","end":"07:04","startHours":29.3663665576762,"endHours":31.065658570663317,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.0656585706633175,"endHours":8.065658570663317,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.065658570663317,"endHours":9.065658570663317,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.065658570663317,"endHours":10.065658570663317,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.065658570663317,"endHours":11.065658570663317,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.065658570663317,"endHours":12.065658570663317,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.065658570663317,"endHours":13.065658570663317,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.065658570663317,"endHours":14.065658570663317,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.065658570663317,"endHours":15.065658570663317,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.065658570663317,"endHours":16.065658570663317,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.065658570663317,"endHours":17.065658570663317,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.065658570663317,"endHours":18.065658570663317,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.065658570663317,"endHours":19.065658570663317,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.065658570663317,"endHours":20.065658570663317,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.065658570663317,"endHours":21.065658570663317,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.065658570663317,"endHours":22.065658570663317,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.065658570663317,"endHours":23.065658570663317,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.065658570663317,"endHours":24.065658570663317,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.065658570663317,"endHours":25.065658570663317,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.065658570663317,"endHours":26.065658570663317,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.065658570663317,"endHours":27.065658570663317,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.065658570663317,"endHours":28.065658570663317,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.065658570663317,"endHours":29.065658570663317,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.065658570663317,"endHours":30.065658570663317,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.065658570663317,"endHours":31.065658570663317,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.32150099276497,"eotMinutes":3.253368877108411,"ayanamsa":25.4728}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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 December 17, 2115 CE · Vṛndāvana · Vidhyamitra","description":"December 17, 2115 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 07:04, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2115-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2115-12-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2115-12-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2115-12-17","x-default":"https://vidhyamitra.com/city/vrindavan/2115-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:34:36.917Z","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":"2026-05-31T01:34:36.917Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:34:36.917Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}