{"id":"vidhyamitra:city-day:mathura:2086-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2086-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-07-13","date_display":"July 13, 2086 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":2086,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483149.770833,"kali_year":5188,"ahargana":1894684.2708,"sun":{"sidereal_longitude":85.4968,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":113.0764,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.5796,"elapsed_within_tithi_degrees":3.5796},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":113.0764,"elapsed_within_degrees":6.4097},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.5732},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2086,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483149.770833,"ahargana":1894684.2708,"kali_year":5188,"ayanamsa_lahiri":25.0618,"grahas":{"sun":{"sidereal_longitude":86.11517600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":111.09967599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-3.9931},"mars":{"sidereal_longitude":18.39917600000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":66.112076,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":114.47357599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":62.795676000000014,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":3.812176000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":230.5095,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":50.5095,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2086,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483149.770833,"kali_year":5188,"ahargana":1894684.2708,"sun":{"sidereal_longitude":85.4968,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":113.0764,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.5796,"elapsed_within_tithi_degrees":3.5796},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":113.0764,"elapsed_within_degrees":6.4097},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.5732},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.993,"elongation":27.58},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.993,"opposition_distance":152.42}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":1.437,"opposition_distance":0.349}]},"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":13.737405838868824,"dayLengthDisplay":"13 Hours 44 Mins 15 Secs","nightLengthDisplay":"10 Hours 15 Mins 45 Secs","moonriseLocal":"07:28","moonsetLocal":"20:42","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:42","startHours":8.976759021052139,"endHours":10.693934750910742,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:51","startHours":14.128286210627948,"endHours":15.845461940486551,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:33","end":"07:16","startHours":5.542407561334934,"endHours":7.259583291193537,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.747802257070994,"endHours":9.205715785033288,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.114799471287801,"endHours":6.481130293657636,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953196952807051,"endHours":12.869024008731639,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7107534494857575,"endHours":4.626580505410345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.397623741429198,"endHours":5.542407561334934,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.700678120580815,"endHours":15.616505176505402,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.079813400203758,"endHours":19.479813400203756,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.279813400203757,"endHours":19.852205310156624,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.029813400203757,"endHours":20.779813400203757,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95319695280705,"endHours":24.86902400873164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:33","end":"07:16","startHours":5.542407561334934,"endHours":7.259583291193537,"quality":"inauspicious"},{"name":"Śubha","start":"07:16","end":"08:59","startHours":7.259583291193537,"endHours":8.976759021052139,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:42","startHours":8.976759021052139,"endHours":10.693934750910742,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:25","startHours":10.693934750910742,"endHours":12.411110480769345,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128286210627948,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:51","startHours":14.128286210627948,"endHours":15.845461940486551,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:34","startHours":15.845461940486551,"endHours":17.562637670345154,"quality":"auspicious"},{"name":"Kāla","start":"17:34","end":"19:17","startHours":17.562637670345154,"endHours":19.279813400203757,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:17","end":"20:34","startHours":19.279813400203757,"endHours":20.562637670345154,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"21:51","startHours":20.562637670345154,"endHours":21.84546194048655,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:08","startHours":21.84546194048655,"endHours":23.128286210627948,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.128286210627948,"endHours":24.411110480769345,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.693934750910742,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"02:59","startHours":25.693934750910742,"endHours":26.97675902105214,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:16","startHours":26.97675902105214,"endHours":28.259583291193536,"quality":"neutral"},{"name":"Labha","start":"04:16","end":"05:33","startHours":28.259583291193536,"endHours":29.542407561334933,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.542407561334934,"endHours":6.542407561334934,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.542407561334934,"endHours":7.542407561334934,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.542407561334934,"endHours":8.542407561334933,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.542407561334933,"endHours":9.542407561334933,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.542407561334933,"endHours":10.542407561334933,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.542407561334933,"endHours":11.542407561334933,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.542407561334933,"endHours":12.542407561334933,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.542407561334933,"endHours":13.542407561334933,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.542407561334933,"endHours":14.542407561334933,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.542407561334933,"endHours":15.542407561334933,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.542407561334933,"endHours":16.542407561334933,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.542407561334933,"endHours":17.542407561334933,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.542407561334933,"endHours":18.542407561334933,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.542407561334933,"endHours":19.542407561334933,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.542407561334933,"endHours":20.542407561334933,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.542407561334933,"endHours":21.542407561334933,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.542407561334933,"endHours":22.542407561334933,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.542407561334933,"endHours":23.542407561334933,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.542407561334933,"endHours":24.542407561334933,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.542407561334933,"endHours":25.542407561334933,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.542407561334933,"endHours":26.542407561334933,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.542407561334933,"endHours":27.542407561334933,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.542407561334933,"endHours":28.542407561334933,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.542407561334933,"endHours":29.542407561334933,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","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":21.769480320024233,"eotMinutes":-5.361428846160681,"ayanamsa":25.0618}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Tṛtīyā · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"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":"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 July 13, 2086 CE · Mathurā · Vidhyamitra","description":"July 13, 2086 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2086-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2086-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2086-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2086-07-13","x-default":"https://vidhyamitra.com/city/mathura/2086-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:13:49.766Z","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":"2026-05-14T12:13:49.766Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:13:49.766Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}