{"id":"vidhyamitra:city-day:mathura:2013-08-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2013-08-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-08-10","date_display":"August 10, 2013 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":2013,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456514.770833,"kali_year":5115,"ahargana":1868049.2708,"sun":{"sidereal_longitude":112.9295,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":150.6993,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.7697,"elapsed_within_tithi_degrees":1.7697},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.6993,"elapsed_within_degrees":4.0326},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.6288},"karana":{"half_tithi_index":6,"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":2013,"month":8,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456514.770833,"ahargana":1868049.2708,"kali_year":5115,"ayanamsa_lahiri":24.0431,"grahas":{"sun":{"sidereal_longitude":113.549329,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":149.54632900000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-3.4987},"mars":{"sidereal_longitude":84.09952899999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":98.43982899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":75.28292899999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":147.92242899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":191.388329,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":201.7599,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.7599,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2013,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456514.770833,"kali_year":5115,"ahargana":1868049.2708,"sun":{"sidereal_longitude":112.9295,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":150.6993,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.7697,"elapsed_within_tithi_degrees":1.7697},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.6993,"elapsed_within_degrees":4.0326},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.6288},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.499,"elongation":37.77},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.499,"opposition_distance":142.23}},"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":"05:47","sunsetLocal":"19:02","solarNoonLocal":"12:24","dayLengthHours":13.242361854676057,"dayLengthDisplay":"13 Hours 14 Mins 33 Secs","nightLengthDisplay":"10 Hours 45 Mins 27 Secs","moonriseLocal":"08:40","moonsetLocal":"20:56","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.095571263120295,"endHours":10.750866494954803,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:04","end":"15:43","startHours":14.061456958623817,"endHours":15.716752190458324,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:47","end":"07:26","startHours":5.784980799451281,"endHours":7.440276031285788,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.874865232209029,"endHours":9.316277294031563,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.33674587672945,"endHours":6.689875526187478,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.964749664966774,"endHours":12.847573788611843,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.01933255216114,"endHours":4.902156675806211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.681450644894943,"endHours":5.784980799451281,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.613222035901986,"endHours":15.496046159547056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.82734265412734,"endHours":19.227342654127337,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:35","startHours":19.027342654127338,"endHours":19.579107731405507,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.777342654127338,"endHours":20.527342654127338,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.96474966496677,"endHours":24.847573788611843,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:47","end":"07:26","startHours":5.784980799451281,"endHours":7.440276031285788,"quality":"inauspicious"},{"name":"Śubha","start":"07:26","end":"09:06","startHours":7.440276031285788,"endHours":9.095571263120295,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.095571263120295,"endHours":10.750866494954803,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.750866494954803,"endHours":12.40616172678931,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:04","startHours":12.40616172678931,"endHours":14.061456958623817,"quality":"neutral"},{"name":"Labha","start":"14:04","end":"15:43","startHours":14.061456958623817,"endHours":15.716752190458324,"quality":"auspicious"},{"name":"Amṛta","start":"15:43","end":"17:22","startHours":15.716752190458324,"endHours":17.37204742229283,"quality":"auspicious"},{"name":"Kāla","start":"17:22","end":"19:02","startHours":17.37204742229283,"endHours":19.027342654127338,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:02","end":"20:22","startHours":19.027342654127338,"endHours":20.37204742229283,"quality":"auspicious"},{"name":"Amṛta","start":"20:22","end":"21:43","startHours":20.37204742229283,"endHours":21.716752190458323,"quality":"auspicious"},{"name":"Kāla","start":"21:43","end":"23:04","startHours":21.716752190458323,"endHours":23.061456958623815,"quality":"inauspicious"},{"name":"Śubha","start":"23:04","end":"00:24","startHours":23.061456958623815,"endHours":24.40616172678931,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.40616172678931,"endHours":25.750866494954803,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.750866494954803,"endHours":27.095571263120295,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:26","startHours":27.095571263120295,"endHours":28.44027603128579,"quality":"neutral"},{"name":"Labha","start":"04:26","end":"05:47","startHours":28.44027603128579,"endHours":29.784980799451283,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.784980799451281,"endHours":6.784980799451281,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.784980799451281,"endHours":7.784980799451281,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.784980799451281,"endHours":8.784980799451281,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.784980799451281,"endHours":9.784980799451281,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.784980799451281,"endHours":10.784980799451281,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.784980799451281,"endHours":11.784980799451281,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.784980799451281,"endHours":12.784980799451281,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.784980799451281,"endHours":13.784980799451281,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.784980799451281,"endHours":14.784980799451281,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.784980799451281,"endHours":15.784980799451281,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.784980799451281,"endHours":16.784980799451283,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.784980799451283,"endHours":17.784980799451283,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.784980799451283,"endHours":18.784980799451283,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.784980799451283,"endHours":19.784980799451283,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.784980799451283,"endHours":20.784980799451283,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.784980799451283,"endHours":21.784980799451283,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.784980799451283,"endHours":22.784980799451283,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.784980799451283,"endHours":23.784980799451283,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.784980799451283,"endHours":24.784980799451283,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.784980799451283,"endHours":25.784980799451283,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.784980799451283,"endHours":26.784980799451283,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.784980799451283,"endHours":27.784980799451283,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.784980799451283,"endHours":28.784980799451283,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.784980799451283,"endHours":29.784980799451283,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","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":15.559013613880678,"eotMinutes":-5.064503607358518,"ayanamsa":24.0431}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 10, 2013 CE · Mathurā · Vidhyamitra","description":"August 10, 2013 CE for Mathurā: Śukla Caturthī, sūryodaya 05:47, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2013-08-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2013-08-10","sa":"https://sa.vidhyamitra.com/city/mathura/2013-08-10","hi":"https://hi.vidhyamitra.com/city/mathura/2013-08-10","x-default":"https://vidhyamitra.com/city/mathura/2013-08-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:43:10.088Z","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":"2026-05-14T12:43:10.088Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:43:10.088Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}