{"id":"vidhyamitra:city-day:mathura:2045-07-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/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":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:35","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.685643398697053,"dayLengthDisplay":"13 Hours 41 Mins 08 Secs","nightLengthDisplay":"10 Hours 18 Mins 52 Secs","moonriseLocal":"08:26","moonsetLocal":"21:18","rahuKala":{"name":"Rāhu Kāla","start":"07:17","end":"09:00","startHours":7.285863440476919,"endHours":8.99656886531405,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.707274290151183,"endHours":12.417979714988313,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:50","startHours":14.128685139825446,"endHours":15.839390564662576,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.7684748086691,"endHours":9.224662921959002,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.1453931572521645,"endHours":6.510343647884086,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.961791601698412,"endHours":12.874167828278214,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:40","startHours":3.7504055624801804,"endHours":4.662781789059983,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:35","startHours":4.434687732415033,"endHours":5.575158015639787,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.698920281437822,"endHours":15.611296508017626,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06080141433684,"endHours":19.46080141433684,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.26080141433684,"endHours":19.83103655594922,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01080141433684,"endHours":20.76080141433684,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.961791601698412,"endHours":24.874167828278214,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:35","end":"07:17","startHours":5.575158015639787,"endHours":7.285863440476919,"quality":"auspicious"},{"name":"Kāla","start":"07:17","end":"09:00","startHours":7.285863440476919,"endHours":8.99656886531405,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:42","startHours":8.99656886531405,"endHours":10.707274290151183,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.707274290151183,"endHours":12.417979714988313,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.417979714988313,"endHours":14.128685139825446,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:50","startHours":14.128685139825446,"endHours":15.839390564662576,"quality":"neutral"},{"name":"Labha","start":"15:50","end":"17:33","startHours":15.839390564662576,"endHours":17.55009598949971,"quality":"auspicious"},{"name":"Amṛta","start":"17:33","end":"19:16","startHours":17.55009598949971,"endHours":19.26080141433684,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:16","end":"20:33","startHours":19.26080141433684,"endHours":20.55009598949971,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"21:50","startHours":20.55009598949971,"endHours":21.839390564662576,"quality":"auspicious"},{"name":"Amṛta","start":"21:50","end":"23:08","startHours":21.839390564662576,"endHours":23.128685139825443,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.128685139825443,"endHours":24.417979714988313,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.417979714988313,"endHours":25.707274290151183,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:00","startHours":25.707274290151183,"endHours":26.99656886531405,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:17","startHours":26.99656886531405,"endHours":28.285863440476916,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:35","startHours":28.285863440476916,"endHours":29.575158015639786,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.575158015639787,"endHours":6.575158015639787,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.575158015639787,"endHours":7.575158015639787,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.575158015639787,"endHours":8.575158015639786,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.575158015639786,"endHours":9.575158015639786,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.575158015639786,"endHours":10.575158015639786,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.575158015639786,"endHours":11.575158015639786,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.575158015639786,"endHours":12.575158015639786,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.575158015639786,"endHours":13.575158015639786,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.575158015639786,"endHours":14.575158015639786,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.575158015639786,"endHours":15.575158015639786,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.575158015639786,"endHours":16.575158015639786,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.575158015639786,"endHours":17.575158015639786,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.575158015639786,"endHours":18.575158015639786,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.575158015639786,"endHours":19.575158015639786,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.575158015639786,"endHours":20.575158015639786,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.575158015639786,"endHours":21.575158015639786,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.575158015639786,"endHours":22.575158015639786,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.575158015639786,"endHours":23.575158015639786,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.575158015639786,"endHours":24.575158015639786,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.575158015639786,"endHours":25.575158015639786,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.575158015639786,"endHours":26.575158015639786,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.575158015639786,"endHours":27.575158015639786,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.575158015639786,"endHours":28.575158015639786,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.575158015639786,"endHours":29.575158015639786,"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":"mathura"},"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 · Mathurā · Vidhyamitra","description":"July 17, 2045 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 05:35, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-07-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-07-17","sa":"https://sa.vidhyamitra.com/city/mathura/2045-07-17","hi":"https://hi.vidhyamitra.com/city/mathura/2045-07-17","x-default":"https://vidhyamitra.com/city/mathura/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":"2026-05-14T12:15:36.935Z","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":"2026-05-14T12:15:36.935Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:15:36.935Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}