{"id":"vidhyamitra:city-day:varanasi:2075-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2075-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-05","date_display":"January 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478942.770833,"kali_year":5176,"ahargana":1890477.2708,"sun":{"sidereal_longitude":259.5208,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":110.9382,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.4174,"elapsed_within_tithi_degrees":7.4174},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.9382,"elapsed_within_degrees":4.2716},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.4591},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478942.770833,"ahargana":1890477.2708,"kali_year":5176,"ayanamsa_lahiri":24.9009,"grahas":{"sun":{"sidereal_longitude":259.90311399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":109.18541400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":1.3535},"mars":{"sidereal_longitude":273.01271399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":277.73921399999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":138.194614,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":212.696014,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.85021400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":93.4166,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.4166,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478942.770833,"kali_year":5176,"ahargana":1890477.2708,"sun":{"sidereal_longitude":259.5208,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":110.9382,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.4174,"elapsed_within_tithi_degrees":7.4174},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.9382,"elapsed_within_degrees":4.2716},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.4591},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.354,"elongation":148.583},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.354,"opposition_distance":31.417}},"eclipse_window_40days":[]},"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":"06:45","sunsetLocal":"17:22","solarNoonLocal":"12:04","dayLengthHours":10.620159045525611,"dayLengthDisplay":"10 Hours 37 Mins 13 Secs","nightLengthDisplay":"13 Hours 22 Mins 47 Secs","moonriseLocal":"19:26","moonsetLocal":"08:36","rahuKala":{"name":"Rāhu Kāla","start":"09:24","end":"10:44","startHours":9.404246415687982,"endHours":10.731766296378684,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:23","end":"14:43","startHours":13.386806057760086,"endHours":14.714325938450788,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:45","end":"08:05","startHours":6.74920665430658,"endHours":8.076726534997281,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:35","startHours":9.227243764929222,"endHours":9.581249066446743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:28","startHours":7.19171328120348,"endHours":7.474917522417496,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:25","startHours":11.705280875551864,"endHours":12.413291478586906,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:02","startHours":5.333185448236498,"endHours":6.041196051271539,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.864193400512779,"endHours":6.74920665430658,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.829312684656987,"endHours":14.537323287692027,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16936569983219,"endHours":17.56936569983219,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:49","startHours":17.36936569983219,"endHours":17.81187232672909,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11936569983219,"endHours":18.86936569983219,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:25","startHours":23.705280875551864,"endHours":24.413291478586906,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:45","end":"08:05","startHours":6.74920665430658,"endHours":8.076726534997281,"quality":"inauspicious"},{"name":"Śubha","start":"08:05","end":"09:24","startHours":8.076726534997281,"endHours":9.404246415687982,"quality":"auspicious"},{"name":"Roga","start":"09:24","end":"10:44","startHours":9.404246415687982,"endHours":10.731766296378684,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:04","startHours":10.731766296378684,"endHours":12.059286177069385,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:23","startHours":12.059286177069385,"endHours":13.386806057760086,"quality":"neutral"},{"name":"Labha","start":"13:23","end":"14:43","startHours":13.386806057760086,"endHours":14.714325938450788,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:03","startHours":14.714325938450788,"endHours":16.04184581914149,"quality":"auspicious"},{"name":"Kāla","start":"16:03","end":"17:22","startHours":16.04184581914149,"endHours":17.36936569983219,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:22","end":"19:03","startHours":17.36936569983219,"endHours":19.04184581914149,"quality":"auspicious"},{"name":"Amṛta","start":"19:03","end":"20:43","startHours":19.04184581914149,"endHours":20.714325938450788,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:23","startHours":20.714325938450788,"endHours":22.386806057760086,"quality":"inauspicious"},{"name":"Śubha","start":"22:23","end":"00:04","startHours":22.386806057760086,"endHours":24.059286177069385,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:44","startHours":24.059286177069385,"endHours":25.731766296378684,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:24","startHours":25.731766296378684,"endHours":27.404246415687982,"quality":"inauspicious"},{"name":"Chala","start":"03:24","end":"05:05","startHours":27.404246415687982,"endHours":29.07672653499728,"quality":"neutral"},{"name":"Labha","start":"05:05","end":"06:45","startHours":29.07672653499728,"endHours":30.74920665430658,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.74920665430658,"endHours":7.74920665430658,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.74920665430658,"endHours":8.74920665430658,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.74920665430658,"endHours":9.74920665430658,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.74920665430658,"endHours":10.74920665430658,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.74920665430658,"endHours":11.74920665430658,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.74920665430658,"endHours":12.74920665430658,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.74920665430658,"endHours":13.74920665430658,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.74920665430658,"endHours":14.74920665430658,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.74920665430658,"endHours":15.74920665430658,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.74920665430658,"endHours":16.74920665430658,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.74920665430658,"endHours":17.74920665430658,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.74920665430658,"endHours":18.74920665430658,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.74920665430658,"endHours":19.74920665430658,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.74920665430658,"endHours":20.74920665430658,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.74920665430658,"endHours":21.74920665430658,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.74920665430658,"endHours":22.74920665430658,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.74920665430658,"endHours":23.74920665430658,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.74920665430658,"endHours":24.74920665430658,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.74920665430658,"endHours":25.74920665430658,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.74920665430658,"endHours":26.74920665430658,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.74920665430658,"endHours":27.74920665430658,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.74920665430658,"endHours":28.74920665430658,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.74920665430658,"endHours":29.74920665430658,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.74920665430658,"endHours":30.74920665430658,"planetary_lord":"Mercury"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","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":-22.614560668337678,"eotMinutes":-5.452770624163118,"ayanamsa":24.9009}},"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 Tṛtīyā · 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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 5, 2075 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 5, 2075 CE for Vārāṇasī (Kāśī): Kṛṣṇa Tṛtīyā, sūryodaya 06:45, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2075-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2075-01-05","sa":"https://sa.vidhyamitra.com/city/varanasi/2075-01-05","hi":"https://hi.vidhyamitra.com/city/varanasi/2075-01-05","x-default":"https://vidhyamitra.com/city/varanasi/2075-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:42:45.114Z","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":"2026-05-14T14:42:45.114Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:42:45.114Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}