{"id":"vidhyamitra:city-day:mathura:2098-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2098-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2098-07-13","date_display":"July 13, 2098 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":2098,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487532.770833,"kali_year":5200,"ahargana":1899067.2708,"sun":{"sidereal_longitude":85.3973,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":262.157,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.7597,"elapsed_within_tithi_degrees":8.7597},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.157,"elapsed_within_degrees":8.8237},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.5543},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2098,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2487532.770833,"ahargana":1899067.2708,"kali_year":5200,"ayanamsa_lahiri":25.2294,"grahas":{"sun":{"sidereal_longitude":86.04391299999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":261.598113,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":-4.4743},"mars":{"sidereal_longitude":102.00991299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":95.33031299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":117.08721300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":129.837013,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":150.192113,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":358.277,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":178.277,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2098,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487532.770833,"kali_year":5200,"ahargana":1899067.2708,"sun":{"sidereal_longitude":85.3973,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":262.157,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.7597,"elapsed_within_tithi_degrees":8.7597},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.157,"elapsed_within_degrees":8.8237},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.5543},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.474,"elongation":176.76},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.474,"opposition_distance":3.24}},"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":13.736158169024861,"dayLengthDisplay":"13 Hours 44 Mins 10 Secs","nightLengthDisplay":"10 Hours 15 Mins 50 Secs","moonriseLocal":"18:53","moonsetLocal":"05:20","rahuKala":{"name":"Rāhu Kāla","start":"17:34","end":"19:17","startHours":17.562169794153668,"endHours":19.279189565281776,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128130251897453,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:51","end":"17:34","startHours":15.84515002302556,"endHours":17.562169794153668,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.748134969029381,"endHours":9.206006907996876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.1153713199662825,"endHours":6.481668871140279,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95323854180185,"endHours":12.86898241973684,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7115436403869317,"endHours":4.627287518321923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.398351548838175,"endHours":5.5430313962569135,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70047017560682,"endHours":15.616214053541812,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.079189565281776,"endHours":19.479189565281775,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.279189565281776,"endHours":19.851529488991144,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.029189565281776,"endHours":20.779189565281776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95323854180185,"endHours":24.86898241973684,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:33","end":"07:16","startHours":5.5430313962569135,"endHours":7.260051167385021,"quality":"inauspicious"},{"name":"Chala","start":"07:16","end":"08:59","startHours":7.260051167385021,"endHours":8.97707093851313,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:42","startHours":8.97707093851313,"endHours":10.694090709641237,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:25","startHours":10.694090709641237,"endHours":12.411110480769345,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128130251897453,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"15:51","startHours":14.128130251897453,"endHours":15.84515002302556,"quality":"auspicious"},{"name":"Roga","start":"15:51","end":"17:34","startHours":15.84515002302556,"endHours":17.562169794153668,"quality":"inauspicious"},{"name":"Udveg","start":"17:34","end":"19:17","startHours":17.562169794153668,"endHours":19.279189565281776,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:17","end":"20:34","startHours":19.279189565281776,"endHours":20.562169794153668,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"21:51","startHours":20.562169794153668,"endHours":21.84515002302556,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:08","startHours":21.84515002302556,"endHours":23.128130251897453,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:25","startHours":23.128130251897453,"endHours":24.411110480769345,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.694090709641237,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"02:59","startHours":25.694090709641237,"endHours":26.97707093851313,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:16","startHours":26.97707093851313,"endHours":28.260051167385022,"quality":"inauspicious"},{"name":"Śubha","start":"04:16","end":"05:33","startHours":28.260051167385022,"endHours":29.543031396256914,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.5430313962569135,"endHours":6.5430313962569135,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.5430313962569135,"endHours":7.5430313962569135,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.5430313962569135,"endHours":8.543031396256914,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.543031396256914,"endHours":9.543031396256914,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.543031396256914,"endHours":10.543031396256914,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.543031396256914,"endHours":11.543031396256914,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.543031396256914,"endHours":12.543031396256914,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.543031396256914,"endHours":13.543031396256914,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.543031396256914,"endHours":14.543031396256914,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.543031396256914,"endHours":15.543031396256914,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.543031396256914,"endHours":16.543031396256914,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.543031396256914,"endHours":17.543031396256914,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.543031396256914,"endHours":18.543031396256914,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.543031396256914,"endHours":19.543031396256914,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.543031396256914,"endHours":20.543031396256914,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.543031396256914,"endHours":21.543031396256914,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.543031396256914,"endHours":22.543031396256914,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.543031396256914,"endHours":23.543031396256914,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.543031396256914,"endHours":24.543031396256914,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.543031396256914,"endHours":25.543031396256914,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.543031396256914,"endHours":26.543031396256914,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.543031396256914,"endHours":27.543031396256914,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.543031396256914,"endHours":28.543031396256914,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.543031396256914,"endHours":29.543031396256914,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","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":21.75454402940897,"eotMinutes":-5.361428846160681,"ayanamsa":25.2294}},"calendars":{"vikram_samvat":2155,"vikram_samvatsara":"Prajāpati","saka_samvat":2020,"saka_samvatsara":"Kālayukta","bengali_samvat":1505,"malayalam_era":1274,"nanakshahi_year":629,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pūrṇimā · Vikram 2155 Prajāpati · Śaka 2020 Kālayukta"},"festivals":[{"id":"guru-purnima","name":"Guru Pūrṇimā / Vyāsa Pūrṇimā","name_sanskrit":"गुरु पूर्णिमा / व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Vyāsa-jī","significance":"Honor Vyāsa-jī and all gurus.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1},{"id":"vyasa-purnima","name":"Vyāsa Pūrṇimā (= Guru Pūrṇimā)","name_sanskrit":"व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Veda-Vyāsa","significance":"Birth of Veda-Vyāsa; Mahābhārata-Purāṇa-vibhāga-kartā. = Guru Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1,"related_chart":"vyasa"},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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, 2098 CE · Mathurā · Vidhyamitra","description":"July 13, 2098 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2098-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2098-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2098-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2098-07-13","x-default":"https://vidhyamitra.com/city/mathura/2098-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:40:58.955Z","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":"2026-05-14T20:40:58.955Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:40:58.955Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}