{"id":"vidhyamitra:city-day:mathura:2005-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2005-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2005-08-04","date_display":"August 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453586.770833,"kali_year":5107,"ahargana":1865121.2708,"sun":{"sidereal_longitude":107.2806,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":95.5343,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.2537,"elapsed_within_tithi_degrees":0.2537},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.5343,"elapsed_within_degrees":2.201},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.8149},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453586.770833,"ahargana":1865121.2708,"kali_year":5107,"ayanamsa_lahiri":23.9311,"grahas":{"sun":{"sidereal_longitude":107.8478,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":95.93920000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":4.4489},"mars":{"sidereal_longitude":9.89330000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":111.1325,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":170.3216,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":140.40160000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":98.3245,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.8995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":176.8995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2005,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453586.770833,"kali_year":5107,"ahargana":1865121.2708,"sun":{"sidereal_longitude":107.2806,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":95.5343,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.2537,"elapsed_within_tithi_degrees":0.2537},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.5343,"elapsed_within_degrees":2.201},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.8149},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.449,"elongation":11.746},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.449,"opposition_distance":168.254}},"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":"05:44","sunsetLocal":"19:06","solarNoonLocal":"12:25","dayLengthHours":13.37318057624152,"dayLengthDisplay":"13 Hours 22 Mins 23 Secs","nightLengthDisplay":"10 Hours 37 Mins 37 Secs","moonriseLocal":"04:51","moonsetLocal":"18:24","rahuKala":{"name":"Rāhu Kāla","start":"14:05","end":"15:46","startHours":14.089965329764155,"endHours":15.761612901794344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:44","end":"07:24","startHours":5.731727469613205,"endHours":7.403375041643395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:05","end":"10:45","startHours":9.075022613673585,"endHours":10.746670185703774,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.852136270736226,"endHours":9.297908956610943,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:39","startHours":6.288943326956601,"endHours":6.6455614756563754,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972545071859248,"endHours":12.864090443608681,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:50","startHours":3.9486367261143354,"endHours":4.84018209786377,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.6172957549264115,"endHours":5.731727469613205,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.647181187107552,"endHours":15.538726558856988,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.904908045854725,"endHours":19.304908045854724,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:40","startHours":19.104908045854724,"endHours":19.662123903198122,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.854908045854724,"endHours":20.604908045854724,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972545071859248,"endHours":24.864090443608685,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:44","end":"07:24","startHours":5.731727469613205,"endHours":7.403375041643395,"quality":"auspicious"},{"name":"Roga","start":"07:24","end":"09:05","startHours":7.403375041643395,"endHours":9.075022613673585,"quality":"inauspicious"},{"name":"Udveg","start":"09:05","end":"10:45","startHours":9.075022613673585,"endHours":10.746670185703774,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:25","startHours":10.746670185703774,"endHours":12.418317757733965,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:05","startHours":12.418317757733965,"endHours":14.089965329764155,"quality":"auspicious"},{"name":"Amṛta","start":"14:05","end":"15:46","startHours":14.089965329764155,"endHours":15.761612901794344,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:26","startHours":15.761612901794344,"endHours":17.433260473824532,"quality":"inauspicious"},{"name":"Śubha","start":"17:26","end":"19:06","startHours":17.433260473824532,"endHours":19.104908045854724,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:06","end":"20:26","startHours":19.104908045854724,"endHours":20.433260473824536,"quality":"auspicious"},{"name":"Kāla","start":"20:26","end":"21:46","startHours":20.433260473824536,"endHours":21.761612901794344,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:05","startHours":21.761612901794344,"endHours":23.089965329764155,"quality":"auspicious"},{"name":"Roga","start":"23:05","end":"00:25","startHours":23.089965329764155,"endHours":24.418317757733966,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.746670185703774,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:05","startHours":25.746670185703774,"endHours":27.075022613673585,"quality":"neutral"},{"name":"Labha","start":"03:05","end":"04:24","startHours":27.075022613673585,"endHours":28.403375041643393,"quality":"auspicious"},{"name":"Amṛta","start":"04:24","end":"05:44","startHours":28.403375041643393,"endHours":29.731727469613205,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.731727469613205,"endHours":6.731727469613205,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.731727469613205,"endHours":7.731727469613205,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.731727469613205,"endHours":8.731727469613205,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.731727469613205,"endHours":9.731727469613205,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.731727469613205,"endHours":10.731727469613205,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.731727469613205,"endHours":11.731727469613205,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.731727469613205,"endHours":12.731727469613205,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.731727469613205,"endHours":13.731727469613205,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.731727469613205,"endHours":14.731727469613205,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.731727469613205,"endHours":15.731727469613205,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.731727469613205,"endHours":16.731727469613205,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.731727469613205,"endHours":17.731727469613205,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.731727469613205,"endHours":18.731727469613205,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.731727469613205,"endHours":19.731727469613205,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.731727469613205,"endHours":20.731727469613205,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.731727469613205,"endHours":21.731727469613205,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.731727469613205,"endHours":22.731727469613205,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.731727469613205,"endHours":23.731727469613205,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.731727469613205,"endHours":24.731727469613205,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.731727469613205,"endHours":25.731727469613205,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.731727469613205,"endHours":26.731727469613205,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.731727469613205,"endHours":27.731727469613205,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.731727469613205,"endHours":28.731727469613205,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.731727469613205,"endHours":29.731727469613205,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mātaṇga","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":17.253361903491136,"eotMinutes":-5.793865464037833,"ayanamsa":23.9311}},"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 Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Amāvasyā · 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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 4, 2005 CE · Mathurā · Vidhyamitra","description":"August 4, 2005 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:44, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2005-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2005-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2005-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2005-08-04","x-default":"https://vidhyamitra.com/city/mathura/2005-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:57:10.450Z","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":"2026-05-14T18:57:10.450Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:57:10.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}