{"id":"vidhyamitra:city-day:vrindavan:2102-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2102-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-01-13","date_display":"January 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488811.770833,"kali_year":5203,"ahargana":1900346.2708,"sun":{"sidereal_longitude":266.7297,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":187.7157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.986,"elapsed_within_tithi_degrees":4.986},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.7157,"elapsed_within_degrees":1.049},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4454},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488811.770833,"ahargana":1900346.2708,"kali_year":5203,"ayanamsa_lahiri":25.2783,"grahas":{"sun":{"sidereal_longitude":267.11344599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":184.57004600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.3881},"mars":{"sidereal_longitude":44.719446000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.83764599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":228.25524599999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":230.57494599999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":202.23224600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":290.5095,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":110.5095,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488811.770833,"kali_year":5203,"ahargana":1900346.2708,"sun":{"sidereal_longitude":266.7297,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":187.7157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.986,"elapsed_within_tithi_degrees":4.986},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.7157,"elapsed_within_degrees":1.049},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4454},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.388,"elongation":79.014},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.388,"opposition_distance":100.986}},"eclipse_window_40days":[{"offset_days":6,"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393}]},"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":"07:12","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.548998920754574,"dayLengthDisplay":"10 Hours 32 Mins 56 Secs","nightLengthDisplay":"13 Hours 27 Mins 04 Secs","moonriseLocal":"01:19","moonsetLocal":"12:36","rahuKala":{"name":"Rāhu Kāla","start":"11:09","end":"12:28","startHours":11.148020659761906,"endHours":12.46664552485623,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:06","end":"16:25","startHours":15.103895255044872,"endHours":16.422520120139193,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:31","end":"09:50","startHours":8.510770929573264,"endHours":9.829395794667585,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653579145988342,"endHours":10.005212443346828,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.631687686177049,"endHours":7.912994324063837,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.115012227497742,"endHours":12.818278822214713,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.785612875044999,"endHours":6.48887946976197,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.313062821082727,"endHours":7.1921460644789414,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.224812011648659,"endHours":14.92807860636563,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.541144985233515,"endHours":17.941144985233514,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.741144985233515,"endHours":18.180686606931623,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.491144985233515,"endHours":19.241144985233515,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11501222749774,"endHours":24.81827882221471,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:12","end":"08:31","startHours":7.1921460644789414,"endHours":8.510770929573264,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"09:50","startHours":8.510770929573264,"endHours":9.829395794667585,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:09","startHours":9.829395794667585,"endHours":11.148020659761906,"quality":"auspicious"},{"name":"Kāla","start":"11:09","end":"12:28","startHours":11.148020659761906,"endHours":12.46664552485623,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:47","startHours":12.46664552485623,"endHours":13.78527038995055,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:06","startHours":13.78527038995055,"endHours":15.103895255044872,"quality":"inauspicious"},{"name":"Udveg","start":"15:06","end":"16:25","startHours":15.103895255044872,"endHours":16.422520120139193,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:44","startHours":16.422520120139193,"endHours":17.741144985233515,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:44","end":"19:25","startHours":17.741144985233515,"endHours":19.422520120139193,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:06","startHours":19.422520120139193,"endHours":21.103895255044872,"quality":"inauspicious"},{"name":"Chala","start":"21:06","end":"22:47","startHours":21.103895255044872,"endHours":22.785270389950547,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:28","startHours":22.785270389950547,"endHours":24.466645524856226,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:09","startHours":24.466645524856226,"endHours":26.148020659761904,"quality":"auspicious"},{"name":"Kāla","start":"02:09","end":"03:50","startHours":26.148020659761904,"endHours":27.829395794667583,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:31","startHours":27.829395794667583,"endHours":29.510770929573262,"quality":"auspicious"},{"name":"Roga","start":"05:31","end":"07:12","startHours":29.510770929573262,"endHours":31.19214606447894,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.1921460644789414,"endHours":8.19214606447894,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.19214606447894,"endHours":9.19214606447894,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.19214606447894,"endHours":10.19214606447894,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.19214606447894,"endHours":11.19214606447894,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.19214606447894,"endHours":12.19214606447894,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.19214606447894,"endHours":13.19214606447894,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.19214606447894,"endHours":14.19214606447894,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.19214606447894,"endHours":15.19214606447894,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.19214606447894,"endHours":16.19214606447894,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.19214606447894,"endHours":17.19214606447894,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.19214606447894,"endHours":18.19214606447894,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.19214606447894,"endHours":19.19214606447894,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.19214606447894,"endHours":20.19214606447894,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.19214606447894,"endHours":21.19214606447894,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.19214606447894,"endHours":22.19214606447894,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.19214606447894,"endHours":23.19214606447894,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.19214606447894,"endHours":24.19214606447894,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.19214606447894,"endHours":25.19214606447894,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.19214606447894,"endHours":26.19214606447894,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.19214606447894,"endHours":27.19214606447894,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.19214606447894,"endHours":28.19214606447894,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.19214606447894,"endHours":29.19214606447894,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.19214606447894,"endHours":30.19214606447894,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.19214606447894,"endHours":31.19214606447894,"planetary_lord":"Mars"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.5765387014153,"eotMinutes":-8.635931491373626,"ayanamsa":25.2783}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 13, 2102 CE · Vṛndāvana · Vidhyamitra","description":"January 13, 2102 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2102-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2102-01-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2102-01-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2102-01-13","x-default":"https://vidhyamitra.com/city/vrindavan/2102-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T15:51:25.640Z","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":"2026-05-22T15:51:25.640Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T15:51:25.640Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}