{"id":"vidhyamitra:city-day:mathura:2045-08-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-08-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-26","date_display":"August 26, 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":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468218.770833,"kali_year":5147,"ahargana":1879753.2708,"sun":{"sidereal_longitude":127.9726,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":290.8812,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.9086,"elapsed_within_tithi_degrees":6.9086},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.8812,"elapsed_within_degrees":10.8812},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.8538},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":8,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468218.770833,"ahargana":1879753.2708,"kali_year":5147,"ayanamsa_lahiri":24.4907,"grahas":{"sun":{"sidereal_longitude":128.74585000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":291.88104999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.8381},"mars":{"sidereal_longitude":96.73644999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":114.87615,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":313.5291500000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":168.01755000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":220.00704999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.6257,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.6257,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468218.770833,"kali_year":5147,"ahargana":1879753.2708,"sun":{"sidereal_longitude":127.9726,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":290.8812,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.9086,"elapsed_within_tithi_degrees":6.9086},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.8812,"elapsed_within_degrees":10.8812},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.8538},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.838,"elongation":162.909},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.838,"opposition_distance":17.091}},"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":"05:55","sunsetLocal":"18:46","solarNoonLocal":"12:21","dayLengthHours":12.852761208669847,"dayLengthDisplay":"12 Hours 51 Mins 10 Secs","nightLengthDisplay":"11 Hours 08 Mins 50 Secs","moonriseLocal":"17:45","moonsetLocal":"04:42","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.132155033356149,"endHours":10.73875018443988,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:34","startHours":13.951940486607342,"endHours":15.558535637691072,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:55","end":"07:32","startHours":5.918964731188686,"endHours":7.525559882272417,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.917942346544983,"endHours":9.346367720167311,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:48","startHours":6.454496448216597,"endHours":6.79723674711446,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.916919961901282,"endHours":12.77377070914594,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:04","startHours":4.205263236699373,"endHours":5.06211398394403,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:55","startHours":4.847901297132866,"endHours":5.918964731188686,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:21","startHours":14.487472203635253,"endHours":15.34432295087991,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.571725939858535,"endHours":18.971725939858533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:18","startHours":18.771725939858534,"endHours":19.307257656886446,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.521725939858534,"endHours":20.271725939858534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.916919961901282,"endHours":24.77377070914594,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:55","end":"07:32","startHours":5.918964731188686,"endHours":7.525559882272417,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:08","startHours":7.525559882272417,"endHours":9.132155033356149,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.132155033356149,"endHours":10.73875018443988,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:21","startHours":10.73875018443988,"endHours":12.34534533552361,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"13:57","startHours":12.34534533552361,"endHours":13.951940486607342,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:34","startHours":13.951940486607342,"endHours":15.558535637691072,"quality":"auspicious"},{"name":"Amṛta","start":"15:34","end":"17:10","startHours":15.558535637691072,"endHours":17.165130788774803,"quality":"auspicious"},{"name":"Kāla","start":"17:10","end":"18:46","startHours":17.165130788774803,"endHours":18.771725939858534,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:46","end":"20:10","startHours":18.771725939858534,"endHours":20.165130788774803,"quality":"auspicious"},{"name":"Amṛta","start":"20:10","end":"21:34","startHours":20.165130788774803,"endHours":21.558535637691072,"quality":"auspicious"},{"name":"Kāla","start":"21:34","end":"22:57","startHours":21.558535637691072,"endHours":22.95194048660734,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:21","startHours":22.95194048660734,"endHours":24.34534533552361,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:44","startHours":24.34534533552361,"endHours":25.73875018443988,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.73875018443988,"endHours":27.13215503335615,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:32","startHours":27.13215503335615,"endHours":28.525559882272418,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:55","startHours":28.525559882272418,"endHours":29.918964731188687,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.918964731188686,"endHours":6.918964731188686,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.918964731188686,"endHours":7.918964731188686,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.918964731188686,"endHours":8.918964731188687,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.918964731188687,"endHours":9.918964731188687,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.918964731188687,"endHours":10.918964731188687,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.918964731188687,"endHours":11.918964731188687,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.918964731188687,"endHours":12.918964731188687,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.918964731188687,"endHours":13.918964731188687,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.918964731188687,"endHours":14.918964731188687,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.918964731188687,"endHours":15.918964731188687,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.918964731188687,"endHours":16.918964731188687,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.918964731188687,"endHours":17.918964731188687,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.918964731188687,"endHours":18.918964731188687,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.918964731188687,"endHours":19.918964731188687,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.918964731188687,"endHours":20.918964731188687,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.918964731188687,"endHours":21.918964731188687,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.918964731188687,"endHours":22.918964731188687,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.918964731188687,"endHours":23.918964731188687,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.918964731188687,"endHours":24.918964731188687,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.918964731188687,"endHours":25.918964731188687,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.918964731188687,"endHours":26.918964731188687,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.918964731188687,"endHours":27.918964731188687,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.918964731188687,"endHours":28.918964731188687,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.918964731188687,"endHours":29.918964731188687,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":10.317465795746813,"eotMinutes":-1.4155201314165708,"ayanamsa":24.4907}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"onam","name":"Onam (Vāmana / King Bali)","name_sanskrit":"ओणम् (वामन-बलि स्मरण)","tradition":"Regional","associated_deity":"Vāmana + King Bali","significance":"Kerala festival; King Bali's annual return to Kerala. Aligned with Thiru-Onam (Śravaṇa nakshatra in Bhādrapada).","vrata":false,"detection":{"nakshatra_name":"Śravaṇa","lunar_month":"Bhādrapada"},"precedence":2},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"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 August 26, 2045 CE · Mathurā · Vidhyamitra","description":"August 26, 2045 CE for Mathurā: Śukla Caturdaśī, sūryodaya 05:55, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-08-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-08-26","sa":"https://sa.vidhyamitra.com/city/mathura/2045-08-26","hi":"https://hi.vidhyamitra.com/city/mathura/2045-08-26","x-default":"https://vidhyamitra.com/city/mathura/2045-08-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:32:35.848Z","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":"2026-05-14T18:32:35.848Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:32:35.848Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}