{"id":"vidhyamitra:city-day:mathura:2102-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2102-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-04-15","date_display":"April 15, 2102 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":2102,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488903.770833,"kali_year":5203,"ahargana":1900438.2708,"sun":{"sidereal_longitude":359.32,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":329.1727,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.8527,"elapsed_within_tithi_degrees":5.8527},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.1727,"elapsed_within_degrees":9.1727},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.4927},"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":2102,"month":4,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488903.770833,"ahargana":1900438.2708,"kali_year":5203,"ayanamsa_lahiri":25.2818,"grahas":{"sun":{"sidereal_longitude":359.422031,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":328.041431,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":3.0981},"mars":{"sidereal_longitude":75.01773100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":16.64053100000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":238.39813100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":316.48013100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":202.33053100000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":285.6349,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":105.6349,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488903.770833,"kali_year":5203,"ahargana":1900438.2708,"sun":{"sidereal_longitude":359.32,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":329.1727,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.8527,"elapsed_within_tithi_degrees":5.8527},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.1727,"elapsed_within_degrees":9.1727},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.4927},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.098,"elongation":30.147},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.098,"opposition_distance":149.853}},"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":"05:56","sunsetLocal":"18:44","solarNoonLocal":"12:20","dayLengthHours":12.798574446441293,"dayLengthDisplay":"12 Hours 47 Mins 55 Secs","nightLengthDisplay":"11 Hours 12 Mins 05 Secs","moonriseLocal":"04:17","moonsetLocal":"16:11","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.126111789353129,"endHours":10.725933595158288,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:32","startHours":13.925577206768612,"endHours":15.525399012573775,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:56","end":"07:32","startHours":5.926468177742804,"endHours":7.526289983547966,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:20","startHours":8.912802215245772,"endHours":9.339421363460483,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:48","startHours":6.459742113011192,"endHours":6.80103743158296,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.899136252748741,"endHours":12.752374549178162,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:04","startHours":4.2199915848839655,"endHours":5.0732298813133845,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:56","startHours":4.85992030720603,"endHours":5.926468177742804,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.458851142036998,"endHours":15.312089438466417,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.5250426241841,"endHours":18.925042624184098,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:15","startHours":18.7250426241841,"endHours":19.258316559452485,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.4750426241841,"endHours":20.2250426241841,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.899136252748743,"endHours":24.75237454917816,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:56","end":"07:32","startHours":5.926468177742804,"endHours":7.526289983547966,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:08","startHours":7.526289983547966,"endHours":9.126111789353129,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.126111789353129,"endHours":10.725933595158288,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:20","startHours":10.725933595158288,"endHours":12.325755400963452,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:56","startHours":12.325755400963452,"endHours":13.925577206768612,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:32","startHours":13.925577206768612,"endHours":15.525399012573775,"quality":"auspicious"},{"name":"Amṛta","start":"15:32","end":"17:08","startHours":15.525399012573775,"endHours":17.125220818378935,"quality":"auspicious"},{"name":"Kāla","start":"17:08","end":"18:44","startHours":17.125220818378935,"endHours":18.7250426241841,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:44","end":"20:08","startHours":18.7250426241841,"endHours":20.125220818378935,"quality":"auspicious"},{"name":"Amṛta","start":"20:08","end":"21:32","startHours":20.125220818378935,"endHours":21.525399012573775,"quality":"auspicious"},{"name":"Kāla","start":"21:32","end":"22:56","startHours":21.525399012573775,"endHours":22.925577206768615,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:20","startHours":22.925577206768615,"endHours":24.325755400963452,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:44","startHours":24.325755400963452,"endHours":25.72593359515829,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.72593359515829,"endHours":27.12611178935313,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:32","startHours":27.12611178935313,"endHours":28.52628998354797,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:56","startHours":28.52628998354797,"endHours":29.926468177742805,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.926468177742804,"endHours":6.926468177742804,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.926468177742804,"endHours":7.926468177742804,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.926468177742804,"endHours":8.926468177742805,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.926468177742805,"endHours":9.926468177742805,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.926468177742805,"endHours":10.926468177742805,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.926468177742805,"endHours":11.926468177742805,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.926468177742805,"endHours":12.926468177742805,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.926468177742805,"endHours":13.926468177742805,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.926468177742805,"endHours":14.926468177742805,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.926468177742805,"endHours":15.926468177742805,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.926468177742805,"endHours":16.926468177742805,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.926468177742805,"endHours":17.926468177742805,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.926468177742805,"endHours":18.926468177742805,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.926468177742805,"endHours":19.926468177742805,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.926468177742805,"endHours":20.926468177742805,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.926468177742805,"endHours":21.926468177742805,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.926468177742805,"endHours":22.926468177742805,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.926468177742805,"endHours":23.926468177742805,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.926468177742805,"endHours":24.926468177742805,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.926468177742805,"endHours":25.926468177742805,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.926468177742805,"endHours":26.926468177742805,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.926468177742805,"endHours":27.926468177742805,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.926468177742805,"endHours":28.926468177742805,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.926468177742805,"endHours":29.926468177742805,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.568315119572187,"eotMinutes":-0.240124057807095,"ayanamsa":25.2818}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Trayodaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"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 April 15, 2102 CE · Mathurā · Vidhyamitra","description":"April 15, 2102 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:56, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2102-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2102-04-15","sa":"https://sa.vidhyamitra.com/city/mathura/2102-04-15","hi":"https://hi.vidhyamitra.com/city/mathura/2102-04-15","x-default":"https://vidhyamitra.com/city/mathura/2102-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:55:47.083Z","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":"2026-05-14T15:55:47.083Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:55:47.083Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}