{"id":"vidhyamitra:city-day:varanasi:2102-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/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":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:46","sunsetLocal":"17:28","solarNoonLocal":"12:07","dayLengthHours":10.696628954229963,"dayLengthDisplay":"10 Hours 41 Mins 48 Secs","nightLengthDisplay":"13 Hours 18 Mins 12 Secs","moonriseLocal":"00:56","moonsetLocal":"12:17","rahuKala":{"name":"Rāhu Kāla","start":"10:47","end":"12:07","startHours":10.775260238910814,"endHours":12.11233885818956,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:47","end":"16:07","startHours":14.786496096747051,"endHours":16.123574716025797,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:06","end":"09:26","startHours":8.101103000353325,"endHours":9.43818161963207,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:37","startHours":9.259904470394904,"endHours":9.616458768869236,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:13","end":"07:30","startHours":7.2097172541674945,"endHours":7.49496069294696,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:28","startHours":11.755784559715227,"endHours":12.468893156663892,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:03","startHours":5.33780718717725,"endHours":6.050915784125915,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:46","startHours":5.872638634888749,"endHours":6.764024381074579,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:36","startHours":13.895110350561222,"endHours":14.608218947509886,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.260653335304543,"endHours":17.66065333530454,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.460653335304542,"endHours":17.90634620839746,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.210653335304542,"endHours":18.960653335304542,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:28","startHours":23.755784559715227,"endHours":24.468893156663892,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:46","end":"08:06","startHours":6.764024381074579,"endHours":8.101103000353325,"quality":"neutral"},{"name":"Labha","start":"08:06","end":"09:26","startHours":8.101103000353325,"endHours":9.43818161963207,"quality":"auspicious"},{"name":"Amṛta","start":"09:26","end":"10:47","startHours":9.43818161963207,"endHours":10.775260238910814,"quality":"auspicious"},{"name":"Kāla","start":"10:47","end":"12:07","startHours":10.775260238910814,"endHours":12.11233885818956,"quality":"inauspicious"},{"name":"Śubha","start":"12:07","end":"13:27","startHours":12.11233885818956,"endHours":13.449417477468305,"quality":"auspicious"},{"name":"Roga","start":"13:27","end":"14:47","startHours":13.449417477468305,"endHours":14.786496096747051,"quality":"inauspicious"},{"name":"Udveg","start":"14:47","end":"16:07","startHours":14.786496096747051,"endHours":16.123574716025797,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:28","startHours":16.123574716025797,"endHours":17.460653335304542,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:28","end":"19:07","startHours":17.460653335304542,"endHours":19.123574716025797,"quality":"inauspicious"},{"name":"Udveg","start":"19:07","end":"20:47","startHours":19.123574716025797,"endHours":20.78649609674705,"quality":"inauspicious"},{"name":"Chala","start":"20:47","end":"22:27","startHours":20.78649609674705,"endHours":22.449417477468305,"quality":"neutral"},{"name":"Labha","start":"22:27","end":"00:07","startHours":22.449417477468305,"endHours":24.11233885818956,"quality":"auspicious"},{"name":"Amṛta","start":"00:07","end":"01:47","startHours":24.11233885818956,"endHours":25.775260238910818,"quality":"auspicious"},{"name":"Kāla","start":"01:47","end":"03:26","startHours":25.775260238910818,"endHours":27.43818161963207,"quality":"inauspicious"},{"name":"Śubha","start":"03:26","end":"05:06","startHours":27.43818161963207,"endHours":29.101103000353326,"quality":"auspicious"},{"name":"Roga","start":"05:06","end":"06:46","startHours":29.101103000353326,"endHours":30.764024381074577,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.764024381074579,"endHours":7.764024381074579,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.764024381074579,"endHours":8.764024381074579,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.764024381074579,"endHours":9.764024381074579,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.764024381074579,"endHours":10.764024381074579,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.764024381074579,"endHours":11.764024381074579,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.764024381074579,"endHours":12.764024381074579,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.764024381074579,"endHours":13.764024381074579,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.764024381074579,"endHours":14.764024381074579,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.764024381074579,"endHours":15.764024381074579,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.764024381074579,"endHours":16.764024381074577,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.764024381074577,"endHours":17.764024381074577,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.764024381074577,"endHours":18.764024381074577,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.764024381074577,"endHours":19.764024381074577,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.764024381074577,"endHours":20.764024381074577,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.764024381074577,"endHours":21.764024381074577,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.764024381074577,"endHours":22.764024381074577,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.764024381074577,"endHours":23.764024381074577,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.764024381074577,"endHours":24.764024381074577,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.764024381074577,"endHours":25.764024381074577,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.764024381074577,"endHours":26.764024381074577,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.764024381074577,"endHours":27.764024381074577,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.764024381074577,"endHours":28.764024381074577,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.764024381074577,"endHours":29.764024381074577,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.764024381074577,"endHours":30.764024381074577,"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":"varanasi"},"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 · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 13, 2102 CE for Vārāṇasī (Kāśī): Kṛṣṇa Navamī, sūryodaya 06:46, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2102-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2102-01-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2102-01-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2102-01-13","x-default":"https://vidhyamitra.com/city/varanasi/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":"2026-05-14T21:19:35.448Z","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":"2026-05-14T21:19:35.448Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:19:35.448Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}