{"id":"vidhyamitra:city-day:mathura:2084-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2084-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-07-13","date_display":"July 13, 2084 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":2084,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482419.770833,"kali_year":5186,"ahargana":1893954.2708,"sun":{"sidereal_longitude":85.9868,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":204.3454,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.3586,"elapsed_within_tithi_degrees":10.3586},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.3454,"elapsed_within_degrees":4.3454},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3322},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2084,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482419.770833,"ahargana":1893954.2708,"kali_year":5186,"ayanamsa_lahiri":25.0338,"grahas":{"sun":{"sidereal_longitude":86.60366699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":201.911567,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.0724},"mars":{"sidereal_longitude":356.698867,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":110.789467,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":64.33796699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":40.34326699999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":338.554467,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":269.1884,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":89.1884,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2084,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482419.770833,"kali_year":5186,"ahargana":1893954.2708,"sun":{"sidereal_longitude":85.9868,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":204.3454,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.3586,"elapsed_within_tithi_degrees":10.3586},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.3454,"elapsed_within_degrees":4.3454},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3322},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.072,"elongation":118.359},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.072,"opposition_distance":61.641}},"eclipse_window_40days":[{"offset_days":-10,"type":"solar","occurs":true,"moon_latitude":0.963,"elongation":0.825}]},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.731397320231748,"dayLengthDisplay":"13 Hours 43 Mins 53 Secs","nightLengthDisplay":"10 Hours 16 Mins 07 Secs","moonriseLocal":"14:39","moonsetLocal":"01:32","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.127535145798314,"endHours":15.843959810827283,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:16","startHours":5.545411820653472,"endHours":7.261836485682441,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:59","end":"10:42","startHours":8.97826115071141,"endHours":10.694685815740378,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.749404528707547,"endHours":9.207117772715272,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.117553375663128,"endHours":6.483723970869308,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95339723676162,"endHours":12.86882372477707,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.714558844622572,"endHours":4.629985332638022,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.4011287106341594,"endHours":5.545411820653472,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699676700807972,"endHours":15.615103188823422,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.07680914088522,"endHours":19.47680914088522,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.27680914088522,"endHours":19.848950695894878,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.02680914088522,"endHours":20.77680914088522,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95339723676162,"endHours":24.86882372477707,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:16","startHours":5.545411820653472,"endHours":7.261836485682441,"quality":"auspicious"},{"name":"Roga","start":"07:16","end":"08:59","startHours":7.261836485682441,"endHours":8.97826115071141,"quality":"inauspicious"},{"name":"Udveg","start":"08:59","end":"10:42","startHours":8.97826115071141,"endHours":10.694685815740378,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:25","startHours":10.694685815740378,"endHours":12.411110480769345,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.127535145798314,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.127535145798314,"endHours":15.843959810827283,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:34","startHours":15.843959810827283,"endHours":17.560384475856253,"quality":"inauspicious"},{"name":"Śubha","start":"17:34","end":"19:17","startHours":17.560384475856253,"endHours":19.27680914088522,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:17","end":"20:34","startHours":19.27680914088522,"endHours":20.560384475856253,"quality":"auspicious"},{"name":"Kāla","start":"20:34","end":"21:51","startHours":20.560384475856253,"endHours":21.843959810827283,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.843959810827283,"endHours":23.127535145798316,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.127535145798316,"endHours":24.411110480769345,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.694685815740378,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"02:59","startHours":25.694685815740378,"endHours":26.97826115071141,"quality":"neutral"},{"name":"Labha","start":"02:59","end":"04:16","startHours":26.97826115071141,"endHours":28.26183648568244,"quality":"auspicious"},{"name":"Amṛta","start":"04:16","end":"05:33","startHours":28.26183648568244,"endHours":29.54541182065347,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.545411820653472,"endHours":6.545411820653472,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.545411820653472,"endHours":7.545411820653472,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.545411820653472,"endHours":8.545411820653472,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.545411820653472,"endHours":9.545411820653472,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.545411820653472,"endHours":10.545411820653472,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.545411820653472,"endHours":11.545411820653472,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.545411820653472,"endHours":12.545411820653472,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.545411820653472,"endHours":13.545411820653472,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.545411820653472,"endHours":14.545411820653472,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.545411820653472,"endHours":15.545411820653472,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.545411820653472,"endHours":16.54541182065347,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.54541182065347,"endHours":17.54541182065347,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.54541182065347,"endHours":18.54541182065347,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.54541182065347,"endHours":19.54541182065347,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.54541182065347,"endHours":20.54541182065347,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.54541182065347,"endHours":21.54541182065347,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.54541182065347,"endHours":22.54541182065347,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.54541182065347,"endHours":23.54541182065347,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.54541182065347,"endHours":24.54541182065347,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.54541182065347,"endHours":25.54541182065347,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.54541182065347,"endHours":26.54541182065347,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.54541182065347,"endHours":27.54541182065347,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.54541182065347,"endHours":28.54541182065347,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.54541182065347,"endHours":29.54541182065347,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"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":21.69751547925592,"eotMinutes":-5.361428846160681,"ayanamsa":25.0338}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Daśamī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"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":"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":"-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 July 13, 2084 CE · Mathurā · Vidhyamitra","description":"July 13, 2084 CE for Mathurā: Śukla Daśamī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2084-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2084-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2084-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2084-07-13","x-default":"https://vidhyamitra.com/city/mathura/2084-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:40:14.194Z","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":"2026-05-14T20:40:14.194Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:40:14.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}