{"id":"vidhyamitra:city-day:vrindavan:2109-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2109-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-01-16","date_display":"January 16, 2109 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":2109,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491371.770833,"kali_year":5210,"ahargana":1902906.2708,"sun":{"sidereal_longitude":270.0053,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":76.6412,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.6359,"elapsed_within_tithi_degrees":10.6359},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.6412,"elapsed_within_degrees":9.9745},"yoga":{"number":26,"name":"Indra","sum_longitude":346.6465},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2109,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491371.770833,"ahargana":1902906.2708,"kali_year":5210,"ayanamsa_lahiri":25.3762,"grahas":{"sun":{"sidereal_longitude":270.37893499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":78.13493500000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":-4.4051},"mars":{"sidereal_longitude":300.544935,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":245.64893499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":82.56843500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":258.51793499999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":274.461135,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":154.8683,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":334.8683,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2109,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491371.770833,"kali_year":5210,"ahargana":1902906.2708,"sun":{"sidereal_longitude":270.0053,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":76.6412,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.6359,"elapsed_within_tithi_degrees":10.6359},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.6412,"elapsed_within_degrees":9.9745},"yoga":{"number":26,"name":"Indra","sum_longitude":346.6465},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.405,"elongation":166.636},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.405,"opposition_distance":13.364}},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.596224479922531,"dayLengthDisplay":"10 Hours 35 Mins 46 Secs","nightLengthDisplay":"13 Hours 24 Mins 14 Secs","moonriseLocal":"16:47","moonsetLocal":"06:34","rahuKala":{"name":"Rāhu Kāla","start":"12:29","end":"13:49","startHours":12.48426169236296,"endHours":13.808789752353277,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:31","end":"09:50","startHours":8.51067751239201,"endHours":9.835205572382328,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:29","startHours":11.159733632372644,"endHours":12.48426169236296,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.658601831050285,"endHours":10.01180931371437,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.627658805731801,"endHours":7.910224791863068,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.131054209698878,"endHours":12.837469175027046,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.773319521745358,"endHours":6.479734487073526,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.303130745741484,"endHours":7.186149452401695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.250299105683382,"endHours":14.95671407101155,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.582373932324227,"endHours":17.982373932324226,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.782373932324226,"endHours":18.22388328565433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.532373932324226,"endHours":19.282373932324226,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.131054209698878,"endHours":24.83746917502705,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:31","startHours":7.186149452401695,"endHours":8.51067751239201,"quality":"auspicious"},{"name":"Amṛta","start":"08:31","end":"09:50","startHours":8.51067751239201,"endHours":9.835205572382328,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:10","startHours":9.835205572382328,"endHours":11.159733632372644,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:29","startHours":11.159733632372644,"endHours":12.48426169236296,"quality":"auspicious"},{"name":"Roga","start":"12:29","end":"13:49","startHours":12.48426169236296,"endHours":13.808789752353277,"quality":"inauspicious"},{"name":"Udveg","start":"13:49","end":"15:08","startHours":13.808789752353277,"endHours":15.133317812343593,"quality":"inauspicious"},{"name":"Chala","start":"15:08","end":"16:27","startHours":15.133317812343593,"endHours":16.457845872333912,"quality":"neutral"},{"name":"Labha","start":"16:27","end":"17:47","startHours":16.457845872333912,"endHours":17.782373932324226,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:47","end":"19:27","startHours":17.782373932324226,"endHours":19.45784587233391,"quality":"inauspicious"},{"name":"Chala","start":"19:27","end":"21:08","startHours":19.45784587233391,"endHours":21.133317812343595,"quality":"neutral"},{"name":"Labha","start":"21:08","end":"22:49","startHours":21.133317812343595,"endHours":22.808789752353277,"quality":"auspicious"},{"name":"Amṛta","start":"22:49","end":"00:29","startHours":22.808789752353277,"endHours":24.48426169236296,"quality":"auspicious"},{"name":"Kāla","start":"00:29","end":"02:10","startHours":24.48426169236296,"endHours":26.159733632372642,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:50","startHours":26.159733632372642,"endHours":27.83520557238233,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:31","startHours":27.83520557238233,"endHours":29.51067751239201,"quality":"inauspicious"},{"name":"Udveg","start":"05:31","end":"07:11","startHours":29.51067751239201,"endHours":31.186149452401693,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.186149452401695,"endHours":8.186149452401695,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186149452401695,"endHours":9.186149452401695,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186149452401695,"endHours":10.186149452401695,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186149452401695,"endHours":11.186149452401695,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186149452401695,"endHours":12.186149452401695,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186149452401695,"endHours":13.186149452401695,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186149452401695,"endHours":14.186149452401695,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186149452401695,"endHours":15.186149452401695,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186149452401695,"endHours":16.186149452401693,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.186149452401693,"endHours":17.186149452401693,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.186149452401693,"endHours":18.186149452401693,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.186149452401693,"endHours":19.186149452401693,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.186149452401693,"endHours":20.186149452401693,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.186149452401693,"endHours":21.186149452401693,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.186149452401693,"endHours":22.186149452401693,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.186149452401693,"endHours":23.186149452401693,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.186149452401693,"endHours":24.186149452401693,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.186149452401693,"endHours":25.186149452401693,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.186149452401693,"endHours":26.186149452401693,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.186149452401693,"endHours":27.186149452401693,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.186149452401693,"endHours":28.186149452401693,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.186149452401693,"endHours":29.186149452401693,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.186149452401693,"endHours":30.186149452401693,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.186149452401693,"endHours":31.186149452401693,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","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":-20.991008667372274,"eotMinutes":-9.692901541777706,"ayanamsa":25.3762}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 16, 2109 CE · Vṛndāvana · Vidhyamitra","description":"January 16, 2109 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2109-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2109-01-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2109-01-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2109-01-16","x-default":"https://vidhyamitra.com/city/vrindavan/2109-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:04:09.018Z","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":"2026-05-31T13:04:09.018Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:04:09.018Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}