{"id":"vidhyamitra:city-day:varanasi:2075-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2075-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-14","date_display":"January 14, 2075 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":2075,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478951.770833,"kali_year":5176,"ahargana":1890486.2708,"sun":{"sidereal_longitude":268.7705,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":232.9035,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.133,"elapsed_within_tithi_degrees":0.133},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.9035,"elapsed_within_degrees":6.2368},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.6739},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2075,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478951.770833,"ahargana":1890486.2708,"kali_year":5176,"ayanamsa_lahiri":24.9012,"grahas":{"sun":{"sidereal_longitude":269.07427000000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":230.98977000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":2.893},"mars":{"sidereal_longitude":280.06707000000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":275.83116999999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":137.89177,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":222.75776999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":228.78256999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":92.9397,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.9397,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478951.770833,"kali_year":5176,"ahargana":1890486.2708,"sun":{"sidereal_longitude":268.7705,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":232.9035,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.133,"elapsed_within_tithi_degrees":0.133},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.9035,"elapsed_within_degrees":6.2368},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.6739},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.893,"elongation":35.867},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.893,"opposition_distance":144.133}},"eclipse_window_40days":[{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":1.053,"opposition_distance":1.686}]},"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":"17:29","solarNoonLocal":"12:07","dayLengthHours":10.71606253904642,"dayLengthDisplay":"10 Hours 42 Mins 58 Secs","nightLengthDisplay":"13 Hours 17 Mins 02 Secs","moonriseLocal":"04:18","moonsetLocal":"14:52","rahuKala":{"name":"Rāhu Kāla","start":"08:06","end":"09:26","startHours":8.099841964513397,"endHours":9.4393497818942,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:47","end":"12:07","startHours":10.778857599275003,"endHours":12.118365416655806,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:27","end":"14:48","startHours":13.457873234036608,"endHours":14.79738105141741,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:37","startHours":9.260748739576758,"endHours":9.61795082421164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.206836752926195,"endHours":7.4925984206341,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:29","startHours":11.761163332020924,"endHours":12.475567501290687,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:03","startHours":5.331525808593072,"endHours":6.0459299778628335,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:46","startHours":5.867328935545393,"endHours":6.760334147132594,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:37","startHours":13.904375839830209,"endHours":14.61878000909997,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.276396686179016,"endHours":17.676396686179014,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.476396686179015,"endHours":17.922899291972616,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.226396686179015,"endHours":18.976396686179015,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:29","startHours":23.761163332020924,"endHours":24.475567501290687,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:46","end":"08:06","startHours":6.760334147132594,"endHours":8.099841964513397,"quality":"auspicious"},{"name":"Kāla","start":"08:06","end":"09:26","startHours":8.099841964513397,"endHours":9.4393497818942,"quality":"inauspicious"},{"name":"Śubha","start":"09:26","end":"10:47","startHours":9.4393497818942,"endHours":10.778857599275003,"quality":"auspicious"},{"name":"Roga","start":"10:47","end":"12:07","startHours":10.778857599275003,"endHours":12.118365416655806,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:27","startHours":12.118365416655806,"endHours":13.457873234036608,"quality":"inauspicious"},{"name":"Chala","start":"13:27","end":"14:48","startHours":13.457873234036608,"endHours":14.79738105141741,"quality":"neutral"},{"name":"Labha","start":"14:48","end":"16:08","startHours":14.79738105141741,"endHours":16.136888868798213,"quality":"auspicious"},{"name":"Amṛta","start":"16:08","end":"17:29","startHours":16.136888868798213,"endHours":17.476396686179015,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:29","end":"19:08","startHours":17.476396686179015,"endHours":19.136888868798213,"quality":"neutral"},{"name":"Labha","start":"19:08","end":"20:48","startHours":19.136888868798213,"endHours":20.79738105141741,"quality":"auspicious"},{"name":"Amṛta","start":"20:48","end":"22:27","startHours":20.79738105141741,"endHours":22.457873234036608,"quality":"auspicious"},{"name":"Kāla","start":"22:27","end":"00:07","startHours":22.457873234036608,"endHours":24.118365416655806,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:47","startHours":24.118365416655806,"endHours":25.778857599275,"quality":"auspicious"},{"name":"Roga","start":"01:47","end":"03:26","startHours":25.778857599275,"endHours":27.4393497818942,"quality":"inauspicious"},{"name":"Udveg","start":"03:26","end":"05:06","startHours":27.4393497818942,"endHours":29.099841964513395,"quality":"inauspicious"},{"name":"Chala","start":"05:06","end":"06:46","startHours":29.099841964513395,"endHours":30.760334147132596,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.760334147132594,"endHours":7.760334147132594,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.760334147132594,"endHours":8.760334147132594,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.760334147132594,"endHours":9.760334147132594,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.760334147132594,"endHours":10.760334147132594,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.760334147132594,"endHours":11.760334147132594,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.760334147132594,"endHours":12.760334147132594,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.760334147132594,"endHours":13.760334147132594,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.760334147132594,"endHours":14.760334147132594,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.760334147132594,"endHours":15.760334147132594,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.760334147132594,"endHours":16.760334147132596,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.760334147132596,"endHours":17.760334147132596,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.760334147132596,"endHours":18.760334147132596,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.760334147132596,"endHours":19.760334147132596,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.760334147132596,"endHours":20.760334147132596,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.760334147132596,"endHours":21.760334147132596,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.760334147132596,"endHours":22.760334147132596,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.760334147132596,"endHours":23.760334147132596,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.760334147132596,"endHours":24.760334147132596,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.760334147132596,"endHours":25.760334147132596,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.760334147132596,"endHours":26.760334147132596,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.760334147132596,"endHours":27.760334147132596,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.760334147132596,"endHours":28.760334147132596,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.760334147132596,"endHours":29.760334147132596,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.760334147132596,"endHours":30.760334147132596,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"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":-21.31012753429812,"eotMinutes":-8.99752499934842,"ayanamsa":24.9012}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 14, 2075 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 14, 2075 CE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 06:46, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2075-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2075-01-14","sa":"https://sa.vidhyamitra.com/city/varanasi/2075-01-14","hi":"https://hi.vidhyamitra.com/city/varanasi/2075-01-14","x-default":"https://vidhyamitra.com/city/varanasi/2075-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:05:08.409Z","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":"2026-05-14T17:05:08.409Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:05:08.409Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}