{"id":"vidhyamitra:city-day:varanasi:2045-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2045-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-30","date_display":"January 30, 2045 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":2045,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468010.770833,"kali_year":5146,"ahargana":1879545.2708,"sun":{"sidereal_longitude":285.9557,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.9045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.9487,"elapsed_within_tithi_degrees":9.9487},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.9045,"elapsed_within_degrees":1.2378},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.8602},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2045,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468010.770833,"ahargana":1879545.2708,"kali_year":5146,"ayanamsa_lahiri":24.4828,"grahas":{"sun":{"sidereal_longitude":286.0587969999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.87929700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":4.069},"mars":{"sidereal_longitude":306.352397,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":281.6773969999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":292.81179700000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":273.748197,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.39439700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":312.6465,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.6465,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"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":2045,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468010.770833,"kali_year":5146,"ahargana":1879545.2708,"sun":{"sidereal_longitude":285.9557,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.9045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.9487,"elapsed_within_tithi_degrees":9.9487},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.9045,"elapsed_within_degrees":1.2378},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.8602},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.069,"elongation":141.949},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.069,"opposition_distance":38.051}},"eclipse_window_40days":[{"offset_days":18,"type":"solar","occurs":true,"moon_latitude":-0.502,"elongation":0.987}]},"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":"06:42","sunsetLocal":"17:41","solarNoonLocal":"12:11","dayLengthHours":10.979928007987727,"dayLengthDisplay":"10 Hours 58 Mins 48 Secs","nightLengthDisplay":"13 Hours 01 Mins 12 Secs","moonriseLocal":"14:41","moonsetLocal":"04:21","rahuKala":{"name":"Rāhu Kāla","start":"08:04","end":"09:27","startHours":8.073552763267344,"endHours":9.44604376426581,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:49","end":"12:11","startHours":10.818534765264276,"endHours":12.191025766262742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"14:56","startHours":13.563516767261207,"endHours":14.936007768259675,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:38","startHours":9.263044964132682,"endHours":9.629042564398938,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:27","startHours":7.1585587626017,"endHours":7.451356842814707,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:33","startHours":11.825028165996484,"endHours":12.557023366529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:14","end":"05:58","startHours":5.237071361203848,"endHours":5.969066561736363,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:42","startHours":5.786067761603235,"endHours":6.701061762268878,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:45","startHours":14.02101376759403,"endHours":14.753008968126544,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.480989770256606,"endHours":17.880989770256605,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.680989770256605,"endHours":18.138486770589427,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.430989770256605,"endHours":19.180989770256605,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:33","startHours":23.825028165996482,"endHours":24.557023366529,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:42","end":"08:04","startHours":6.701061762268878,"endHours":8.073552763267344,"quality":"auspicious"},{"name":"Kāla","start":"08:04","end":"09:27","startHours":8.073552763267344,"endHours":9.44604376426581,"quality":"inauspicious"},{"name":"Śubha","start":"09:27","end":"10:49","startHours":9.44604376426581,"endHours":10.818534765264276,"quality":"auspicious"},{"name":"Roga","start":"10:49","end":"12:11","startHours":10.818534765264276,"endHours":12.191025766262742,"quality":"inauspicious"},{"name":"Udveg","start":"12:11","end":"13:34","startHours":12.191025766262742,"endHours":13.563516767261207,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"14:56","startHours":13.563516767261207,"endHours":14.936007768259675,"quality":"neutral"},{"name":"Labha","start":"14:56","end":"16:19","startHours":14.936007768259675,"endHours":16.30849876925814,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:41","startHours":16.30849876925814,"endHours":17.680989770256605,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:41","end":"19:19","startHours":17.680989770256605,"endHours":19.30849876925814,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"20:56","startHours":19.30849876925814,"endHours":20.936007768259675,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:34","startHours":20.936007768259675,"endHours":22.563516767261206,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:11","startHours":22.563516767261206,"endHours":24.19102576626274,"quality":"inauspicious"},{"name":"Śubha","start":"00:11","end":"01:49","startHours":24.19102576626274,"endHours":25.818534765264275,"quality":"auspicious"},{"name":"Roga","start":"01:49","end":"03:27","startHours":25.818534765264275,"endHours":27.44604376426581,"quality":"inauspicious"},{"name":"Udveg","start":"03:27","end":"05:04","startHours":27.44604376426581,"endHours":29.073552763267344,"quality":"inauspicious"},{"name":"Chala","start":"05:04","end":"06:42","startHours":29.073552763267344,"endHours":30.70106176226888,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.701061762268878,"endHours":7.701061762268878,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.701061762268878,"endHours":8.701061762268878,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.701061762268878,"endHours":9.701061762268878,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.701061762268878,"endHours":10.701061762268878,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.701061762268878,"endHours":11.701061762268878,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.701061762268878,"endHours":12.701061762268878,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.701061762268878,"endHours":13.701061762268878,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.701061762268878,"endHours":14.701061762268878,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.701061762268878,"endHours":15.701061762268878,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.701061762268878,"endHours":16.70106176226888,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.70106176226888,"endHours":17.70106176226888,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.70106176226888,"endHours":18.70106176226888,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.70106176226888,"endHours":19.70106176226888,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.70106176226888,"endHours":20.70106176226888,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.70106176226888,"endHours":21.70106176226888,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.70106176226888,"endHours":22.70106176226888,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.70106176226888,"endHours":23.70106176226888,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.70106176226888,"endHours":24.70106176226888,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.70106176226888,"endHours":25.70106176226888,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.70106176226888,"endHours":26.70106176226888,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.70106176226888,"endHours":27.70106176226888,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.70106176226888,"endHours":28.70106176226888,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.70106176226888,"endHours":29.70106176226888,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.70106176226888,"endHours":30.70106176226888,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.592825115331262,"eotMinutes":-13.357145975764517,"ayanamsa":24.4828}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Dvādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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}],"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":[]},"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 30, 2045 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 30, 2045 CE for Vārāṇasī (Kāśī): Śukla Dvādaśī, sūryodaya 06:42, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2045-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2045-01-30","sa":"https://sa.vidhyamitra.com/city/varanasi/2045-01-30","hi":"https://hi.vidhyamitra.com/city/varanasi/2045-01-30","x-default":"https://vidhyamitra.com/city/varanasi/2045-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:47:12.547Z","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":"2026-05-14T14:47:12.547Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:47:12.547Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}