{"id":"vidhyamitra:city-day:vrindavan:2112-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2112-01-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-01-17","date_display":"January 17, 2112 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":2112,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492467.770833,"kali_year":5213,"ahargana":1904002.2708,"sun":{"sidereal_longitude":270.2351,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":126.1574,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.9223,"elapsed_within_tithi_degrees":11.9223},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.1574,"elapsed_within_degrees":6.1574},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3925},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2112,"month":1,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492467.770833,"ahargana":1904002.2708,"kali_year":5213,"ayanamsa_lahiri":25.4181,"grahas":{"sun":{"sidereal_longitude":270.61366,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.10826000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":2.2046},"mars":{"sidereal_longitude":201.73695999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.51815999999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":179.61156000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":240.74986,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":305.83176000000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":96.797,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":276.797,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2112,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492467.770833,"kali_year":5213,"ahargana":1904002.2708,"sun":{"sidereal_longitude":270.2351,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":126.1574,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.9223,"elapsed_within_tithi_degrees":11.9223},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.1574,"elapsed_within_degrees":6.1574},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3925},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.205,"elongation":144.078},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.205,"opposition_distance":35.922}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-0.653,"opposition_distance":1.452},{"offset_days":12,"type":"solar","occurs":true,"moon_latitude":-0.297,"elongation":2.597}]},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.600354631940107,"dayLengthDisplay":"10 Hours 36 Mins 01 Secs","nightLengthDisplay":"13 Hours 23 Mins 59 Secs","moonriseLocal":"20:11","moonsetLocal":"09:08","rahuKala":{"name":"Rāhu Kāla","start":"16:28","end":"17:47","startHours":16.464947799412684,"endHours":17.7899921284052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"13:49","startHours":12.489814812435146,"endHours":13.814859141427657,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:08","end":"16:28","startHours":15.139903470420172,"endHours":16.464947799412684,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.663053577251116,"endHours":10.01639873164912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.631318939462596,"endHours":7.913995062980999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.136469658037143,"endHours":12.843159966833149,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7762568788730775,"endHours":6.482947187669084,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.306274610470083,"endHours":7.1896374964650915,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:58","startHours":14.256540584425164,"endHours":14.963230893221171,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.5899921284052,"endHours":17.9899921284052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:14","startHours":17.7899921284052,"endHours":18.231673571402702,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.5399921284052,"endHours":19.2899921284052,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.136469658037143,"endHours":24.84315996683315,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:31","startHours":7.1896374964650915,"endHours":8.514681825457604,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:50","startHours":8.514681825457604,"endHours":9.839726154450119,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.839726154450119,"endHours":11.16477048344263,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:29","startHours":11.16477048344263,"endHours":12.489814812435146,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"13:49","startHours":12.489814812435146,"endHours":13.814859141427657,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:08","startHours":13.814859141427657,"endHours":15.139903470420172,"quality":"auspicious"},{"name":"Roga","start":"15:08","end":"16:28","startHours":15.139903470420172,"endHours":16.464947799412684,"quality":"inauspicious"},{"name":"Udveg","start":"16:28","end":"17:47","startHours":16.464947799412684,"endHours":17.7899921284052,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:47","end":"19:28","startHours":17.7899921284052,"endHours":19.464947799412684,"quality":"auspicious"},{"name":"Roga","start":"19:28","end":"21:08","startHours":19.464947799412684,"endHours":21.139903470420172,"quality":"inauspicious"},{"name":"Udveg","start":"21:08","end":"22:49","startHours":21.139903470420172,"endHours":22.81485914142766,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:29","startHours":22.81485914142766,"endHours":24.489814812435146,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"02:10","startHours":24.489814812435146,"endHours":26.16477048344263,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.16477048344263,"endHours":27.83972615445012,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:31","startHours":27.83972615445012,"endHours":29.514681825457608,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:11","startHours":29.514681825457608,"endHours":31.189637496465092,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1896374964650915,"endHours":8.189637496465092,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.189637496465092,"endHours":9.189637496465092,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.189637496465092,"endHours":10.189637496465092,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.189637496465092,"endHours":11.189637496465092,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.189637496465092,"endHours":12.189637496465092,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.189637496465092,"endHours":13.189637496465092,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.189637496465092,"endHours":14.189637496465092,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.189637496465092,"endHours":15.189637496465092,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.189637496465092,"endHours":16.189637496465092,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.189637496465092,"endHours":17.189637496465092,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.189637496465092,"endHours":18.189637496465092,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.189637496465092,"endHours":19.189637496465092,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.189637496465092,"endHours":20.189637496465092,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.189637496465092,"endHours":21.189637496465092,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.189637496465092,"endHours":22.189637496465092,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.189637496465092,"endHours":23.189637496465092,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.189637496465092,"endHours":24.189637496465092,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.189637496465092,"endHours":25.189637496465092,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.189637496465092,"endHours":26.189637496465092,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.189637496465092,"endHours":27.189637496465092,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.189637496465092,"endHours":28.189637496465092,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.189637496465092,"endHours":29.189637496465092,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.189637496465092,"endHours":30.189637496465092,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.189637496465092,"endHours":31.189637496465092,"planetary_lord":"Jupiter"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.939555572525897,"eotMinutes":-10.026088746108654,"ayanamsa":25.4181}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi_ingress":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_ingress":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 17, 2112 CE · Vṛndāvana · Vidhyamitra","description":"January 17, 2112 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2112-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2112-01-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2112-01-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2112-01-17","x-default":"https://vidhyamitra.com/city/vrindavan/2112-01-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:45:30.651Z","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":"2026-06-02T12:45:30.651Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:45:30.651Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}