{"id":"vidhyamitra:city-day:varanasi:2045-07-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2045-07-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-17","date_display":"July 17, 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":7,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468178.770833,"kali_year":5147,"ahargana":1879713.2708,"sun":{"sidereal_longitude":89.862,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":124.0481,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.186,"elapsed_within_tithi_degrees":10.186},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.0481,"elapsed_within_degrees":4.0481},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.9101},"karana":{"half_tithi_index":5,"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":2045,"month":7,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468178.770833,"ahargana":1879713.2708,"kali_year":5147,"ayanamsa_lahiri":24.4892,"grahas":{"sun":{"sidereal_longitude":90.41237799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":127.11237800000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-0.0238},"mars":{"sidereal_longitude":70.46017799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":104.95477800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.533178,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":120.717378,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.15797799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.7451,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.7451,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":7,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468178.770833,"kali_year":5147,"ahargana":1879713.2708,"sun":{"sidereal_longitude":89.862,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":124.0481,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.186,"elapsed_within_tithi_degrees":10.186},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.0481,"elapsed_within_degrees":4.0481},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.9101},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.024,"elongation":34.186},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.024,"opposition_distance":145.814}},"eclipse_window_40days":[{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:18","sunsetLocal":"18:50","solarNoonLocal":"12:04","dayLengthHours":13.540059263794653,"dayLengthDisplay":"13 Hours 32 Mins 24 Secs","nightLengthDisplay":"10 Hours 27 Mins 36 Secs","moonriseLocal":"08:07","moonsetLocal":"20:54","rahuKala":{"name":"Rāhu Kāla","start":"06:59","end":"08:41","startHours":6.987110824398652,"endHours":8.679618232372984,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:22","end":"12:04","startHours":10.372125640347315,"endHours":12.064633048321646,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:45","end":"15:27","startHours":13.757140456295978,"endHours":15.449647864270311,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:54","startHours":8.453950577976407,"endHours":8.905285886769562,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:52","end":"06:13","startHours":5.858772552415764,"endHours":6.219840799450288,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:31","startHours":11.613297739528491,"endHours":12.5159683571148,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:24","startHours":3.4892621812517,"endHours":4.39193279883801,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:18","startHours":4.166265144441432,"endHours":5.29460341642432,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:13","startHours":14.32130959228742,"endHours":15.22398020987373,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:38","end":"19:02","startHours":18.634662680218973,"endHours":19.034662680218972,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:50","end":"19:24","startHours":18.834662680218972,"endHours":19.398831816210418,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:35","end":"20:20","startHours":18.584662680218972,"endHours":20.334662680218972,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:31","startHours":23.61329773952849,"endHours":24.5159683571148,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:18","end":"06:59","startHours":5.29460341642432,"endHours":6.987110824398652,"quality":"auspicious"},{"name":"Kāla","start":"06:59","end":"08:41","startHours":6.987110824398652,"endHours":8.679618232372984,"quality":"inauspicious"},{"name":"Śubha","start":"08:41","end":"10:22","startHours":8.679618232372984,"endHours":10.372125640347315,"quality":"auspicious"},{"name":"Roga","start":"10:22","end":"12:04","startHours":10.372125640347315,"endHours":12.064633048321646,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:45","startHours":12.064633048321646,"endHours":13.757140456295978,"quality":"inauspicious"},{"name":"Chala","start":"13:45","end":"15:27","startHours":13.757140456295978,"endHours":15.449647864270311,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"17:09","startHours":15.449647864270311,"endHours":17.14215527224464,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:50","startHours":17.14215527224464,"endHours":18.834662680218972,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:50","end":"20:09","startHours":18.834662680218972,"endHours":20.14215527224464,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:27","startHours":20.14215527224464,"endHours":21.44964786427031,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:45","startHours":21.44964786427031,"endHours":22.75714045629598,"quality":"auspicious"},{"name":"Kāla","start":"22:45","end":"00:04","startHours":22.75714045629598,"endHours":24.064633048321646,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:22","startHours":24.064633048321646,"endHours":25.372125640347313,"quality":"auspicious"},{"name":"Roga","start":"01:22","end":"02:41","startHours":25.372125640347313,"endHours":26.67961823237298,"quality":"inauspicious"},{"name":"Udveg","start":"02:41","end":"03:59","startHours":26.67961823237298,"endHours":27.987110824398652,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:18","startHours":27.987110824398652,"endHours":29.29460341642432,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.29460341642432,"endHours":6.29460341642432,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.29460341642432,"endHours":7.29460341642432,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.29460341642432,"endHours":8.29460341642432,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.29460341642432,"endHours":9.29460341642432,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.29460341642432,"endHours":10.29460341642432,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.29460341642432,"endHours":11.29460341642432,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.29460341642432,"endHours":12.29460341642432,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.29460341642432,"endHours":13.29460341642432,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.29460341642432,"endHours":14.29460341642432,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.29460341642432,"endHours":15.29460341642432,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.29460341642432,"endHours":16.29460341642432,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.29460341642432,"endHours":17.29460341642432,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.29460341642432,"endHours":18.29460341642432,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.29460341642432,"endHours":19.29460341642432,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.29460341642432,"endHours":20.29460341642432,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.29460341642432,"endHours":21.29460341642432,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.29460341642432,"endHours":22.29460341642432,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.29460341642432,"endHours":23.29460341642432,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.29460341642432,"endHours":24.29460341642432,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.29460341642432,"endHours":25.29460341642432,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.29460341642432,"endHours":26.29460341642432,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.29460341642432,"endHours":27.29460341642432,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.29460341642432,"endHours":28.29460341642432,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.29460341642432,"endHours":29.29460341642432,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.146646323921576,"eotMinutes":-5.773582899298716,"ayanamsa":24.4892}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"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 July 17, 2045 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 17, 2045 CE for Vārāṇasī (Kāśī): Śukla Tṛtīyā, sūryodaya 05:18, sūryāsta 18:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2045-07-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2045-07-17","sa":"https://sa.vidhyamitra.com/city/varanasi/2045-07-17","hi":"https://hi.vidhyamitra.com/city/varanasi/2045-07-17","x-default":"https://vidhyamitra.com/city/varanasi/2045-07-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:53:04.770Z","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":"2026-05-14T14:53:04.770Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:53:04.770Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}