{"id":"vidhyamitra:city-day:vrindavan:2102-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2102-01-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-01-17","date_display":"January 17, 2102 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":2102,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488815.770833,"kali_year":5203,"ahargana":1900350.2708,"sun":{"sidereal_longitude":270.8384,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":243.4927,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.6542,"elapsed_within_tithi_degrees":8.6542},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.4927,"elapsed_within_degrees":3.4927},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.3311},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2102,"month":1,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488815.770833,"ahargana":1900350.2708,"kali_year":5203,"ayanamsa_lahiri":25.2785,"grahas":{"sun":{"sidereal_longitude":271.18829300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":242.157193,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-3.279},"mars":{"sidereal_longitude":44.648293000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":250.909493,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":229.04199300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":231.96759299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":202.51429299999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":290.2975,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":110.2975,"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":2102,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488815.770833,"kali_year":5203,"ahargana":1900350.2708,"sun":{"sidereal_longitude":270.8384,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":243.4927,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.6542,"elapsed_within_tithi_degrees":8.6542},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.4927,"elapsed_within_degrees":3.4927},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.3311},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.279,"elongation":27.346},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.279,"opposition_distance":152.654}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393},{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":0.307,"opposition_distance":2.772}]},"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":"17:48","solarNoonLocal":"12:29","dayLengthHours":10.606923454859874,"dayLengthDisplay":"10 Hours 36 Mins 25 Secs","nightLengthDisplay":"13 Hours 23 Mins 35 Secs","moonriseLocal":"05:23","moonsetLocal":"15:44","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:28","startHours":15.141545676150116,"endHours":16.4674111080076,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:10","startHours":9.838083948720179,"endHours":11.163949380577662,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:49","startHours":12.489814812435146,"endHours":13.815680244292631,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66130189113918,"endHours":10.014866006301176,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.628308228957704,"endHours":7.911159521087301,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.13625069727315,"endHours":12.843378927597142,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.772096624357227,"endHours":6.479224854681218,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.30244279710022,"endHours":7.1863530850052095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:58","startHours":14.257635388245127,"endHours":14.964763618569119,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.593276539865084,"endHours":17.993276539865082,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:14","startHours":17.793276539865083,"endHours":18.235231683817577,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.543276539865083,"endHours":19.293276539865083,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.13625069727315,"endHours":24.84337892759714,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:31","startHours":7.1863530850052095,"endHours":8.512218516862694,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.512218516862694,"endHours":9.838083948720179,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:10","startHours":9.838083948720179,"endHours":11.163949380577662,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:29","startHours":11.163949380577662,"endHours":12.489814812435146,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:49","startHours":12.489814812435146,"endHours":13.815680244292631,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:08","startHours":13.815680244292631,"endHours":15.141545676150116,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:28","startHours":15.141545676150116,"endHours":16.4674111080076,"quality":"auspicious"},{"name":"Roga","start":"16:28","end":"17:48","startHours":16.4674111080076,"endHours":17.793276539865083,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:48","end":"19:28","startHours":17.793276539865083,"endHours":19.4674111080076,"quality":"inauspicious"},{"name":"Śubha","start":"19:28","end":"21:08","startHours":19.4674111080076,"endHours":21.141545676150116,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:49","startHours":21.141545676150116,"endHours":22.81568024429263,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:29","startHours":22.81568024429263,"endHours":24.489814812435146,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"02:10","startHours":24.489814812435146,"endHours":26.163949380577662,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:50","startHours":26.163949380577662,"endHours":27.838083948720175,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.838083948720175,"endHours":29.512218516862692,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:11","startHours":29.512218516862692,"endHours":31.18635308500521,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1863530850052095,"endHours":8.186353085005209,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186353085005209,"endHours":9.186353085005209,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186353085005209,"endHours":10.186353085005209,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186353085005209,"endHours":11.186353085005209,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186353085005209,"endHours":12.186353085005209,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186353085005209,"endHours":13.186353085005209,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186353085005209,"endHours":14.186353085005209,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186353085005209,"endHours":15.186353085005209,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186353085005209,"endHours":16.18635308500521,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18635308500521,"endHours":17.18635308500521,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18635308500521,"endHours":18.18635308500521,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18635308500521,"endHours":19.18635308500521,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18635308500521,"endHours":20.18635308500521,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18635308500521,"endHours":21.18635308500521,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18635308500521,"endHours":22.18635308500521,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18635308500521,"endHours":23.18635308500521,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18635308500521,"endHours":24.18635308500521,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18635308500521,"endHours":25.18635308500521,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18635308500521,"endHours":26.18635308500521,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18635308500521,"endHours":27.18635308500521,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18635308500521,"endHours":28.18635308500521,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18635308500521,"endHours":29.18635308500521,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18635308500521,"endHours":30.18635308500521,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18635308500521,"endHours":31.18635308500521,"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"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.857641041905104,"eotMinutes":-10.026088746108654,"ayanamsa":25.2785}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"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":"Makara"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 January 17, 2102 CE · Vṛndāvana · Vidhyamitra","description":"January 17, 2102 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 07:11, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2102-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2102-01-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2102-01-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2102-01-17","x-default":"https://vidhyamitra.com/city/vrindavan/2102-01-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T03:18:42.080Z","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":"2026-05-23T03:18:42.080Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T03:18:42.080Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}