{"id":"vidhyamitra:city-day:mathura:2038-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2038-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2038-07-13","date_display":"July 13, 2038 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":2038,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465617.770833,"kali_year":5140,"ahargana":1877152.2708,"sun":{"sidereal_longitude":85.8948,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":222.3285,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.4338,"elapsed_within_tithi_degrees":4.4338},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.3285,"elapsed_within_degrees":8.9952},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.2233},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2038,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465617.770833,"ahargana":1877152.2708,"kali_year":5140,"ayanamsa_lahiri":24.3912,"grahas":{"sun":{"sidereal_longitude":86.400327,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":221.454027,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":2.7133},"mars":{"sidereal_longitude":122.11402699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":111.119327,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":100.93352700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":60.288927,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":137.518727,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":79.4392,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.4392,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2038,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465617.770833,"kali_year":5140,"ahargana":1877152.2708,"sun":{"sidereal_longitude":85.8948,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":222.3285,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.4338,"elapsed_within_tithi_degrees":4.4338},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.3285,"elapsed_within_degrees":8.9952},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.2233},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.713,"elongation":136.434},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.713,"opposition_distance":43.566}},"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":"05:32","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.742348117317846,"dayLengthDisplay":"13 Hours 44 Mins 32 Secs","nightLengthDisplay":"10 Hours 15 Mins 28 Secs","moonriseLocal":"16:09","moonsetLocal":"02:41","rahuKala":{"name":"Rāhu Kāla","start":"15:51","end":"17:34","startHours":15.846697510098807,"endHours":17.564491024763537,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:59","end":"10:42","startHours":8.975523451439884,"endHours":10.693316966104614,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128903995434076,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.746484316151252,"endHours":9.204562586728514,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.112534260331998,"endHours":6.478996876793807,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953032210192083,"endHours":12.869188751346607,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.7076233398013754,"endHours":4.623779880955898,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.394740745667267,"endHours":5.539936422110421,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701501833655652,"endHours":15.617658374810174,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08228453942827,"endHours":19.482284539428267,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.282284539428268,"endHours":19.854882377649844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.032284539428268,"endHours":20.782284539428268,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953032210192085,"endHours":24.869188751346606,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:32","end":"07:15","startHours":5.539936422110421,"endHours":7.257729936775152,"quality":"inauspicious"},{"name":"Udveg","start":"07:15","end":"08:59","startHours":7.257729936775152,"endHours":8.975523451439884,"quality":"inauspicious"},{"name":"Chala","start":"08:59","end":"10:42","startHours":8.975523451439884,"endHours":10.693316966104614,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:25","startHours":10.693316966104614,"endHours":12.411110480769345,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128903995434076,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:51","startHours":14.128903995434076,"endHours":15.846697510098807,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:34","startHours":15.846697510098807,"endHours":17.564491024763537,"quality":"auspicious"},{"name":"Roga","start":"17:34","end":"19:17","startHours":17.564491024763537,"endHours":19.282284539428268,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:17","end":"20:34","startHours":19.282284539428268,"endHours":20.564491024763537,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"21:51","startHours":20.564491024763537,"endHours":21.846697510098807,"quality":"auspicious"},{"name":"Roga","start":"21:51","end":"23:08","startHours":21.846697510098807,"endHours":23.128903995434076,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:25","startHours":23.128903995434076,"endHours":24.411110480769345,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.693316966104614,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"02:59","startHours":25.693316966104614,"endHours":26.975523451439884,"quality":"auspicious"},{"name":"Amṛta","start":"02:59","end":"04:15","startHours":26.975523451439884,"endHours":28.257729936775153,"quality":"auspicious"},{"name":"Kāla","start":"04:15","end":"05:32","startHours":28.257729936775153,"endHours":29.539936422110422,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.539936422110421,"endHours":6.539936422110421,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.539936422110421,"endHours":7.539936422110421,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.539936422110421,"endHours":8.539936422110422,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.539936422110422,"endHours":9.539936422110422,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.539936422110422,"endHours":10.539936422110422,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.539936422110422,"endHours":11.539936422110422,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.539936422110422,"endHours":12.539936422110422,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.539936422110422,"endHours":13.539936422110422,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.539936422110422,"endHours":14.539936422110422,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.539936422110422,"endHours":15.539936422110422,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.539936422110422,"endHours":16.539936422110422,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.539936422110422,"endHours":17.539936422110422,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.539936422110422,"endHours":18.539936422110422,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.539936422110422,"endHours":19.539936422110422,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.539936422110422,"endHours":20.539936422110422,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.539936422110422,"endHours":21.539936422110422,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.539936422110422,"endHours":22.539936422110422,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.539936422110422,"endHours":23.539936422110422,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.539936422110422,"endHours":24.539936422110422,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.539936422110422,"endHours":25.539936422110422,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.539936422110422,"endHours":26.539936422110422,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.539936422110422,"endHours":27.539936422110422,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.539936422110422,"endHours":28.539936422110422,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.539936422110422,"endHours":29.539936422110422,"planetary_lord":"Saturn"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":21.828608845174774,"eotMinutes":-5.361428846160681,"ayanamsa":24.3912}},"calendars":{"vikram_samvat":2095,"vikram_samvatsara":"Prajāpati","saka_samvat":1960,"saka_samvatsara":"Kālayukta","bengali_samvat":1445,"malayalam_era":1214,"nanakshahi_year":569,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvādaśī · Vikram 2095 Prajāpati · Śaka 1960 Kālayukta"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2038 CE · Mathurā · Vidhyamitra","description":"July 13, 2038 CE for Mathurā: Śukla Dvādaśī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2038-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2038-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2038-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2038-07-13","x-default":"https://vidhyamitra.com/city/mathura/2038-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:58:10.551Z","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":"2026-05-14T14:58:10.551Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:58:10.551Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}