{"id":"vidhyamitra:city-day:mathura:2005-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2005-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2005-08-13","date_display":"August 13, 2005 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":2005,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453595.770833,"kali_year":5107,"ahargana":1865130.2708,"sun":{"sidereal_longitude":115.8591,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":209.031,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.1719,"elapsed_within_tithi_degrees":9.1719},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.031,"elapsed_within_degrees":9.031},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.8901},"karana":{"half_tithi_index":15,"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":2005,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453595.770833,"ahargana":1865130.2708,"kali_year":5107,"ayanamsa_lahiri":23.9314,"grahas":{"sun":{"sidereal_longitude":116.47585600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":205.695156,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-2.4233},"mars":{"sidereal_longitude":14.678455999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.266456,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":171.73345599999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":151.13615600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":99.468256,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.4226,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":176.4226,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2005,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453595.770833,"kali_year":5107,"ahargana":1865130.2708,"sun":{"sidereal_longitude":115.8591,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":209.031,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.1719,"elapsed_within_tithi_degrees":9.1719},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.031,"elapsed_within_degrees":9.031},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.8901},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.423,"elongation":93.172},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.423,"opposition_distance":86.828}},"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":"05:49","sunsetLocal":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.17583515317178,"dayLengthDisplay":"13 Hours 10 Mins 33 Secs","nightLengthDisplay":"10 Hours 49 Mins 27 Secs","moonriseLocal":"12:56","moonsetLocal":"23:45","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.103819890677315,"endHours":10.750799284823787,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:42","startHours":14.044758073116732,"endHours":15.691737467263204,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:27","startHours":5.809861102384369,"endHours":7.456840496530842,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.884222638124452,"endHours":9.323417143230177,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.358854233766527,"endHours":6.7102098378511075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.958584173864532,"endHours":12.836973184075985,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.053083081961465,"endHours":4.931472092172918,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.711874839620054,"endHours":5.809861102384369,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.593751204498888,"endHours":15.47214021471034,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.78569625555615,"endHours":19.18569625555615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.98569625555615,"endHours":19.534689386938307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.73569625555615,"endHours":20.48569625555615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.958584173864534,"endHours":24.836973184075983,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:27","startHours":5.809861102384369,"endHours":7.456840496530842,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:06","startHours":7.456840496530842,"endHours":9.103819890677315,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.103819890677315,"endHours":10.750799284823787,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.750799284823787,"endHours":12.397778678970258,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.044758073116732,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:42","startHours":14.044758073116732,"endHours":15.691737467263204,"quality":"auspicious"},{"name":"Amṛta","start":"15:42","end":"17:20","startHours":15.691737467263204,"endHours":17.33871686140968,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"18:59","startHours":17.33871686140968,"endHours":18.98569625555615,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:59","end":"20:20","startHours":18.98569625555615,"endHours":20.338716861409676,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:42","startHours":20.338716861409676,"endHours":21.691737467263206,"quality":"auspicious"},{"name":"Kāla","start":"21:42","end":"23:03","startHours":21.691737467263206,"endHours":23.044758073116732,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:24","startHours":23.044758073116732,"endHours":24.39777867897026,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.750799284823785,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.750799284823785,"endHours":27.103819890677315,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:27","startHours":27.103819890677315,"endHours":28.45684049653084,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:49","startHours":28.45684049653084,"endHours":29.809861102384367,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.809861102384369,"endHours":6.809861102384369,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.809861102384369,"endHours":7.809861102384369,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.809861102384369,"endHours":8.80986110238437,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.80986110238437,"endHours":9.80986110238437,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.80986110238437,"endHours":10.80986110238437,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.80986110238437,"endHours":11.80986110238437,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.80986110238437,"endHours":12.80986110238437,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.80986110238437,"endHours":13.80986110238437,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.80986110238437,"endHours":14.80986110238437,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.80986110238437,"endHours":15.80986110238437,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.80986110238437,"endHours":16.809861102384367,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.809861102384367,"endHours":17.809861102384367,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.809861102384367,"endHours":18.809861102384367,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.809861102384367,"endHours":19.809861102384367,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.809861102384367,"endHours":20.809861102384367,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.809861102384367,"endHours":21.809861102384367,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.809861102384367,"endHours":22.809861102384367,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.809861102384367,"endHours":23.809861102384367,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.809861102384367,"endHours":24.809861102384367,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.809861102384367,"endHours":25.809861102384367,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.809861102384367,"endHours":26.809861102384367,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.809861102384367,"endHours":27.809861102384367,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.809861102384367,"endHours":28.809861102384367,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.809861102384367,"endHours":29.809861102384367,"planetary_lord":"Mercury"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.683856511230044,"eotMinutes":-4.561520738215509,"ayanamsa":23.9314}},"calendars":{"vikram_samvat":2062,"vikram_samvatsara":"Vilambī","saka_samvat":1927,"saka_samvatsara":"Pārthiva","bengali_samvat":1412,"malayalam_era":1181,"nanakshahi_year":536,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Aṣṭamī · Vikram 2062 Vilambī · Śaka 1927 Pārthiva"},"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":"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 13, 2005 CE · Mathurā · Vidhyamitra","description":"August 13, 2005 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2005-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2005-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2005-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2005-08-13","x-default":"https://vidhyamitra.com/city/mathura/2005-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:32:30.023Z","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":"2026-05-14T12:32:30.023Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:32:30.023Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}