{"id":"vidhyamitra:city-day:mathura:2048-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2048-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-07-13","date_display":"July 13, 2048 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":2048,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469270.770833,"kali_year":5150,"ahargana":1880805.2708,"sun":{"sidereal_longitude":86.2853,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":109.0621,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.7768,"elapsed_within_tithi_degrees":10.7768},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.0621,"elapsed_within_degrees":2.3955},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.3474},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2048,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469270.770833,"ahargana":1880805.2708,"kali_year":5150,"ayanamsa_lahiri":24.5309,"grahas":{"sun":{"sidereal_longitude":86.81735600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":107.77995599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-3.0774},"mars":{"sidereal_longitude":220.38905599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":76.470956,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":53.69775600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":98.49615599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":256.64505600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":245.8857,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":65.8857,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2048,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469270.770833,"kali_year":5150,"ahargana":1880805.2708,"sun":{"sidereal_longitude":86.2853,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":109.0621,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.7768,"elapsed_within_tithi_degrees":10.7768},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.0621,"elapsed_within_degrees":2.3955},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.3474},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.077,"elongation":22.777},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.077,"opposition_distance":157.223}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":0.248,"opposition_distance":0.242},{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":-1.354,"elongation":0.874}]},"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":13.735184150630097,"dayLengthDisplay":"13 Hours 44 Mins 07 Secs","nightLengthDisplay":"10 Hours 15 Mins 53 Secs","moonriseLocal":"07:09","moonsetLocal":"20:28","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.260416424283058,"endHours":8.977314443111819,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.694212461940582,"endHours":12.411110480769345,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.128008499598106,"endHours":15.844906518426868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.748394707267984,"endHours":9.206234178955654,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.115817745063883,"endHours":6.482089322414019,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953271009081675,"endHours":12.868949952457015,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.712160518703616,"endHours":4.627839462078956,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.398919726235121,"endHours":5.543518405454296,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.700307839207696,"endHours":15.615986782583036,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.078702556084394,"endHours":19.478702556084393,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.278702556084394,"endHours":19.85100189569398,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.028702556084394,"endHours":20.778702556084394,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953271009081675,"endHours":24.868949952457015,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.543518405454296,"endHours":7.260416424283058,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.260416424283058,"endHours":8.977314443111819,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.977314443111819,"endHours":10.694212461940582,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.694212461940582,"endHours":12.411110480769345,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128008499598106,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.128008499598106,"endHours":15.844906518426868,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.844906518426868,"endHours":17.561804537255632,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:17","startHours":17.561804537255632,"endHours":19.278702556084394,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:34","startHours":19.278702556084394,"endHours":20.561804537255632,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.561804537255632,"endHours":21.844906518426868,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.844906518426868,"endHours":23.128008499598106,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.128008499598106,"endHours":24.411110480769345,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.694212461940584,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.694212461940584,"endHours":26.977314443111823,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.977314443111823,"endHours":28.260416424283058,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.260416424283058,"endHours":29.543518405454297,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.543518405454296,"endHours":6.543518405454296,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.543518405454296,"endHours":7.543518405454296,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.543518405454296,"endHours":8.543518405454297,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.543518405454297,"endHours":9.543518405454297,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.543518405454297,"endHours":10.543518405454297,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.543518405454297,"endHours":11.543518405454297,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.543518405454297,"endHours":12.543518405454297,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.543518405454297,"endHours":13.543518405454297,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.543518405454297,"endHours":14.543518405454297,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.543518405454297,"endHours":15.543518405454297,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.543518405454297,"endHours":16.543518405454297,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.543518405454297,"endHours":17.543518405454297,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.543518405454297,"endHours":18.543518405454297,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.543518405454297,"endHours":19.543518405454297,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.543518405454297,"endHours":20.543518405454297,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.543518405454297,"endHours":21.543518405454297,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.543518405454297,"endHours":22.543518405454297,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.543518405454297,"endHours":23.543518405454297,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.543518405454297,"endHours":24.543518405454297,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.543518405454297,"endHours":25.543518405454297,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.543518405454297,"endHours":26.543518405454297,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.543518405454297,"endHours":27.543518405454297,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.543518405454297,"endHours":28.543518405454297,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.543518405454297,"endHours":29.543518405454297,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Mānasa","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":21.742881084720985,"eotMinutes":-5.361428846160681,"ayanamsa":24.5309}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvitīyā · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"id":"ratha-yatra","name":"Ratha-Yātrā (Jagannātha Puri)","name_sanskrit":"रथ यात्रा","tradition":"Vaishnava","associated_deity":"Jagannātha (Krishna) + Balarāma + Subhadrā","significance":"Jagannātha's annual ratha-yātrā at Puri.","vrata":false,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":2},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2048 CE · Mathurā · Vidhyamitra","description":"July 13, 2048 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2048-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2048-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2048-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2048-07-13","x-default":"https://vidhyamitra.com/city/mathura/2048-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:36:57.972Z","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":"2026-05-14T13:36:57.972Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:36:57.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}