{"id":"vidhyamitra:city-day:mathura:2045-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-15","date_display":"July 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468176.770833,"kali_year":5147,"ahargana":1879711.2708,"sun":{"sidereal_longitude":87.9675,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":95.0458,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.0783,"elapsed_within_tithi_degrees":7.0783},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.0458,"elapsed_within_degrees":1.7125},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.0133},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2045,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468176.770833,"ahargana":1879711.2708,"kali_year":5147,"ayanamsa_lahiri":24.4891,"grahas":{"sun":{"sidereal_longitude":88.50445400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":96.99375400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":2.1665},"mars":{"sidereal_longitude":69.114754,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.41885400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.629054,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":118.32005400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.230454,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.8511,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.8511,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468176.770833,"kali_year":5147,"ahargana":1879711.2708,"sun":{"sidereal_longitude":87.9675,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":95.0458,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.0783,"elapsed_within_tithi_degrees":7.0783},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.0458,"elapsed_within_degrees":1.7125},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.0133},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.167,"elongation":7.078},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.167,"opposition_distance":172.922}},"eclipse_window_40days":[{"offset_days":14,"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":"05:33","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.713054025777472,"dayLengthDisplay":"13 Hours 42 Mins 47 Secs","nightLengthDisplay":"10 Hours 17 Mins 13 Secs","moonriseLocal":"06:13","moonsetLocal":"19:45","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:42","startHours":8.986550011995217,"endHours":10.7006817652174,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:51","startHours":14.128945271661769,"endHours":15.843077024883952,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:33","end":"07:16","startHours":5.558286505550848,"endHours":7.272418258773032,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757999111565592,"endHours":9.215100912424841,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.129663756624909,"endHours":6.495345197312308,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957711717580336,"endHours":12.871915319298834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7298793021138517,"endHours":4.64408290383235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.415532003402726,"endHours":5.558286505550848,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70032252273583,"endHours":15.614526124454327,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.07134053132832,"endHours":19.47134053132832,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.27134053132832,"endHours":19.84271778240238,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.02134053132832,"endHours":20.77134053132832,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.957711717580338,"endHours":24.871915319298836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:33","end":"07:16","startHours":5.558286505550848,"endHours":7.272418258773032,"quality":"inauspicious"},{"name":"Śubha","start":"07:16","end":"08:59","startHours":7.272418258773032,"endHours":8.986550011995217,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:42","startHours":8.986550011995217,"endHours":10.7006817652174,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:25","startHours":10.7006817652174,"endHours":12.414813518439583,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.128945271661769,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:51","startHours":14.128945271661769,"endHours":15.843077024883952,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:33","startHours":15.843077024883952,"endHours":17.557208778106137,"quality":"auspicious"},{"name":"Kāla","start":"17:33","end":"19:16","startHours":17.557208778106137,"endHours":19.27134053132832,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:16","end":"20:33","startHours":19.27134053132832,"endHours":20.557208778106137,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"21:51","startHours":20.557208778106137,"endHours":21.843077024883954,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:08","startHours":21.843077024883954,"endHours":23.12894527166177,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.12894527166177,"endHours":24.414813518439583,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:42","startHours":24.414813518439583,"endHours":25.7006817652174,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"02:59","startHours":25.7006817652174,"endHours":26.986550011995217,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:16","startHours":26.986550011995217,"endHours":28.27241825877303,"quality":"neutral"},{"name":"Labha","start":"04:16","end":"05:33","startHours":28.27241825877303,"endHours":29.558286505550846,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.558286505550848,"endHours":6.558286505550848,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.558286505550848,"endHours":7.558286505550848,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.558286505550848,"endHours":8.558286505550848,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.558286505550848,"endHours":9.558286505550848,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.558286505550848,"endHours":10.558286505550848,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.558286505550848,"endHours":11.558286505550848,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.558286505550848,"endHours":12.558286505550848,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.558286505550848,"endHours":13.558286505550848,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.558286505550848,"endHours":14.558286505550848,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.558286505550848,"endHours":15.558286505550848,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.558286505550848,"endHours":16.558286505550846,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.558286505550846,"endHours":17.558286505550846,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.558286505550846,"endHours":18.558286505550846,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.558286505550846,"endHours":19.558286505550846,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.558286505550846,"endHours":20.558286505550846,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.558286505550846,"endHours":21.558286505550846,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.558286505550846,"endHours":22.558286505550846,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.558286505550846,"endHours":23.558286505550846,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.558286505550846,"endHours":24.558286505550846,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.558286505550846,"endHours":25.558286505550846,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.558286505550846,"endHours":26.558286505550846,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.558286505550846,"endHours":27.558286505550846,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.558286505550846,"endHours":28.558286505550846,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.558286505550846,"endHours":29.558286505550846,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"Prajāpati","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.477273298024393,"eotMinutes":-5.583611106375076,"ayanamsa":24.4891}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pratipada · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"ashadha-gupta-navratri-start","name":"Āṣāḍha Gupta Navrātri Start","name_sanskrit":"आषाढ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Second Gupta Navrātri.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3},{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":"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 15, 2045 CE · Mathurā · Vidhyamitra","description":"July 15, 2045 CE for Mathurā: Śukla Pratipada, sūryodaya 05:33, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/2045-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/2045-07-15","x-default":"https://vidhyamitra.com/city/mathura/2045-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:40:24.937Z","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":"2026-05-14T12:40:24.937Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:40:24.937Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}