{"id":"vidhyamitra:city-day:mathura:2091-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-07-14","date_display":"July 14, 2091 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":2091,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484976.770833,"kali_year":5193,"ahargana":1896511.2708,"sun":{"sidereal_longitude":86.1655,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.6921,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.5266,"elapsed_within_tithi_degrees":4.5266},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6921,"elapsed_within_degrees":1.3587},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.8576},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2091,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484976.770833,"ahargana":1896511.2708,"kali_year":5193,"ayanamsa_lahiri":25.1316,"grahas":{"sun":{"sidereal_longitude":86.80047100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.064370999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-4.4174},"mars":{"sidereal_longitude":160.53407100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.39377100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":260.9070710000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":82.483971,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":66.26097099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":133.7062,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.7062,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484976.770833,"kali_year":5193,"ahargana":1896511.2708,"sun":{"sidereal_longitude":86.1655,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.6921,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.5266,"elapsed_within_tithi_degrees":4.5266},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6921,"elapsed_within_degrees":1.3587},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.8576},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.417,"elongation":31.473},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.417,"opposition_distance":148.527}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.727494309641173,"dayLengthDisplay":"13 Hours 43 Mins 39 Secs","nightLengthDisplay":"10 Hours 16 Mins 21 Secs","moonriseLocal":"03:27","moonsetLocal":"17:16","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:42","startHours":8.981153530697032,"endHours":10.697090319402179,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:51","startHours":14.128963896812472,"endHours":15.844900685517619,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:33","end":"07:16","startHours":5.54927995328674,"endHours":7.265216741991886,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.752361958869681,"endHours":9.209945102524387,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.1212588828551215,"endHours":6.4873253977788865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95544396445262,"endHours":12.87061025176203,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7189473786679166,"endHours":4.634113665977328,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.405322094149975,"endHours":5.54927995328674,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.700942826380853,"endHours":15.616109113690264,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.076774262927913,"endHours":19.47677426292791,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.276774262927912,"endHours":19.848753192496293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.026774262927912,"endHours":20.776774262927912,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95544396445262,"endHours":24.87061025176203,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:33","end":"07:16","startHours":5.54927995328674,"endHours":7.265216741991886,"quality":"inauspicious"},{"name":"Śubha","start":"07:16","end":"08:59","startHours":7.265216741991886,"endHours":8.981153530697032,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:42","startHours":8.981153530697032,"endHours":10.697090319402179,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:25","startHours":10.697090319402179,"endHours":12.413027108107325,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.413027108107325,"endHours":14.128963896812472,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:51","startHours":14.128963896812472,"endHours":15.844900685517619,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:34","startHours":15.844900685517619,"endHours":17.560837474222765,"quality":"auspicious"},{"name":"Kāla","start":"17:34","end":"19:17","startHours":17.560837474222765,"endHours":19.276774262927912,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:17","end":"20:34","startHours":19.276774262927912,"endHours":20.560837474222765,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"21:51","startHours":20.560837474222765,"endHours":21.84490068551762,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:08","startHours":21.84490068551762,"endHours":23.128963896812472,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.128963896812472,"endHours":24.413027108107325,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:42","startHours":24.413027108107325,"endHours":25.69709031940218,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"02:59","startHours":25.69709031940218,"endHours":26.981153530697032,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:16","startHours":26.981153530697032,"endHours":28.265216741991885,"quality":"neutral"},{"name":"Labha","start":"04:16","end":"05:33","startHours":28.265216741991885,"endHours":29.54927995328674,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.54927995328674,"endHours":6.54927995328674,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.54927995328674,"endHours":7.54927995328674,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.54927995328674,"endHours":8.549279953286739,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.549279953286739,"endHours":9.549279953286739,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.549279953286739,"endHours":10.549279953286739,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.549279953286739,"endHours":11.549279953286739,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.549279953286739,"endHours":12.549279953286739,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.549279953286739,"endHours":13.549279953286739,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.549279953286739,"endHours":14.549279953286739,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.549279953286739,"endHours":15.549279953286739,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.549279953286739,"endHours":16.54927995328674,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.54927995328674,"endHours":17.54927995328674,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.54927995328674,"endHours":18.54927995328674,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.54927995328674,"endHours":19.54927995328674,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.54927995328674,"endHours":20.54927995328674,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.54927995328674,"endHours":21.54927995328674,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.54927995328674,"endHours":22.54927995328674,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.54927995328674,"endHours":23.54927995328674,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.54927995328674,"endHours":24.54927995328674,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.54927995328674,"endHours":25.54927995328674,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.54927995328674,"endHours":26.54927995328674,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.54927995328674,"endHours":27.54927995328674,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.54927995328674,"endHours":28.54927995328674,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.54927995328674,"endHours":29.54927995328674,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","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":21.650721601059235,"eotMinutes":-5.476426486439539,"ayanamsa":25.1316}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 14, 2091 CE · Mathurā · Vidhyamitra","description":"July 14, 2091 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-07-14","sa":"https://sa.vidhyamitra.com/city/mathura/2091-07-14","hi":"https://hi.vidhyamitra.com/city/mathura/2091-07-14","x-default":"https://vidhyamitra.com/city/mathura/2091-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:37:05.006Z","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":"2026-05-14T14:37:05.006Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:37:05.006Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}