{"id":"vidhyamitra:city-day:mathura:2045-07-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-07-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-05","date_display":"July 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468166.770833,"kali_year":5147,"ahargana":1879701.2708,"sun":{"sidereal_longitude":78.5003,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.1912,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6909,"elapsed_within_tithi_degrees":6.6909},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.1912,"elapsed_within_degrees":5.1912},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6915},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468166.770833,"ahargana":1879701.2708,"kali_year":5147,"ayanamsa_lahiri":24.4887,"grahas":{"sun":{"sidereal_longitude":78.96883600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":321.664436,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":1.5973},"mars":{"sidereal_longitude":62.340236000000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":103.02943600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":317.918636,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":106.29763600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.673636,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.3809,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.3809,"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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468166.770833,"kali_year":5147,"ahargana":1879701.2708,"sun":{"sidereal_longitude":78.5003,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.1912,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6909,"elapsed_within_tithi_degrees":6.6909},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.1912,"elapsed_within_degrees":5.1912},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6915},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.597,"elongation":113.309},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.597,"opposition_distance":66.691}},"eclipse_window_40days":[]},"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":"05:29","sunsetLocal":"19:18","solarNoonLocal":"12:23","dayLengthHours":13.82055133444592,"dayLengthDisplay":"13 Hours 49 Mins 14 Secs","nightLengthDisplay":"10 Hours 10 Mins 46 Secs","moonriseLocal":"22:43","moonsetLocal":"10:26","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:07","startHours":12.391624269940115,"endHours":14.119193186745855,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:56","startHours":7.208917519522895,"endHours":8.936486436328636,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:40","end":"12:23","startHours":10.664055353134374,"endHours":12.391624269940115,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.70614391408787,"endHours":9.1668289585694,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.057204908319068,"endHours":6.425752943904293,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.930939225458584,"endHours":12.852309314421646,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:34","startHours":3.638608424791032,"endHours":4.559978513754094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:29","startHours":4.329635991513328,"endHours":5.481348602717155,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.695049492347767,"endHours":15.616419581310828,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.101899937163076,"endHours":19.501899937163074,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.301899937163075,"endHours":19.87775624276499,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.051899937163075,"endHours":20.801899937163075,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.930939225458587,"endHours":24.852309314421646,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:29","end":"07:13","startHours":5.481348602717155,"endHours":7.208917519522895,"quality":"auspicious"},{"name":"Amṛta","start":"07:13","end":"08:56","startHours":7.208917519522895,"endHours":8.936486436328636,"quality":"auspicious"},{"name":"Kāla","start":"08:56","end":"10:40","startHours":8.936486436328636,"endHours":10.664055353134374,"quality":"inauspicious"},{"name":"Śubha","start":"10:40","end":"12:23","startHours":10.664055353134374,"endHours":12.391624269940115,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:07","startHours":12.391624269940115,"endHours":14.119193186745855,"quality":"inauspicious"},{"name":"Udveg","start":"14:07","end":"15:51","startHours":14.119193186745855,"endHours":15.846762103551594,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.846762103551594,"endHours":17.574331020357334,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:18","startHours":17.574331020357334,"endHours":19.301899937163075,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:18","end":"20:34","startHours":19.301899937163075,"endHours":20.574331020357334,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.574331020357334,"endHours":21.846762103551594,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:07","startHours":21.846762103551594,"endHours":23.119193186745854,"quality":"auspicious"},{"name":"Amṛta","start":"23:07","end":"00:23","startHours":23.119193186745854,"endHours":24.391624269940117,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:40","startHours":24.391624269940117,"endHours":25.664055353134373,"quality":"inauspicious"},{"name":"Śubha","start":"01:40","end":"02:56","startHours":25.664055353134373,"endHours":26.936486436328636,"quality":"auspicious"},{"name":"Roga","start":"02:56","end":"04:13","startHours":26.936486436328636,"endHours":28.208917519522895,"quality":"inauspicious"},{"name":"Udveg","start":"04:13","end":"05:29","startHours":28.208917519522895,"endHours":29.481348602717155,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.481348602717155,"endHours":6.481348602717155,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.481348602717155,"endHours":7.481348602717155,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.481348602717155,"endHours":8.481348602717155,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.481348602717155,"endHours":9.481348602717155,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.481348602717155,"endHours":10.481348602717155,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.481348602717155,"endHours":11.481348602717155,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.481348602717155,"endHours":12.481348602717155,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.481348602717155,"endHours":13.481348602717155,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.481348602717155,"endHours":14.481348602717155,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.481348602717155,"endHours":15.481348602717155,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.481348602717155,"endHours":16.481348602717155,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.481348602717155,"endHours":17.481348602717155,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.481348602717155,"endHours":18.481348602717155,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.481348602717155,"endHours":19.481348602717155,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.481348602717155,"endHours":20.481348602717155,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.481348602717155,"endHours":21.481348602717155,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.481348602717155,"endHours":22.481348602717155,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.481348602717155,"endHours":23.481348602717155,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.481348602717155,"endHours":24.481348602717155,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.481348602717155,"endHours":25.481348602717155,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.481348602717155,"endHours":26.481348602717155,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.481348602717155,"endHours":27.481348602717155,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.481348602717155,"endHours":28.481348602717155,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.481348602717155,"endHours":29.481348602717155,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":22.756264487371308,"eotMinutes":-4.192256196406893,"ayanamsa":24.4887}},"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 Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 5, 2045 CE · Mathurā · Vidhyamitra","description":"July 5, 2045 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:29, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-07-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-07-05","sa":"https://sa.vidhyamitra.com/city/mathura/2045-07-05","hi":"https://hi.vidhyamitra.com/city/mathura/2045-07-05","x-default":"https://vidhyamitra.com/city/mathura/2045-07-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:09:50.657Z","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":"2026-05-14T12:09:50.657Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:09:50.657Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}