{"id":"vidhyamitra:city-day:mathura:2004-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2004-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-07-15","date_display":"July 15, 2004 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":2004,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453201.770833,"kali_year":5106,"ahargana":1864736.2708,"sun":{"sidereal_longitude":88.5443,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":60.9348,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.3905,"elapsed_within_tithi_degrees":8.3905},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.9348,"elapsed_within_degrees":7.6015},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.4792},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2004,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453201.770833,"ahargana":1864736.2708,"kali_year":5106,"ayanamsa_lahiri":23.9164,"grahas":{"sun":{"sidereal_longitude":88.98611,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":62.223810000000014,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.1037},"mars":{"sidereal_longitude":109.36381,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":112.97190999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":141.82430999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":49.46600999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":83.63150999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":17.2986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":197.2986,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2004,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453201.770833,"kali_year":5106,"ahargana":1864736.2708,"sun":{"sidereal_longitude":88.5443,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":60.9348,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.3905,"elapsed_within_tithi_degrees":8.3905},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.9348,"elapsed_within_degrees":7.6015},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.4792},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.104,"elongation":27.61},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.104,"opposition_distance":152.39}},"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":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.71431555414269,"dayLengthDisplay":"13 Hours 42 Mins 52 Secs","nightLengthDisplay":"10 Hours 17 Mins 08 Secs","moonriseLocal":"03:43","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.129102962707421,"endHours":15.843392406975259,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:16","startHours":5.557655741368241,"endHours":7.271945185636078,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:59","end":"10:42","startHours":8.986234629903914,"endHours":10.70052407417175,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757662704001536,"endHours":9.214806555806291,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.129085556124187,"endHours":6.494800637567992,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957669666634828,"endHours":12.871957370244342,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7290803341492156,"endHours":4.643368037758728,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.414796111856351,"endHours":5.557655741368241,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.700532777463366,"endHours":15.614820481072877,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.07197129551093,"endHours":19.47197129551093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.27197129551093,"endHours":19.843401110266875,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.02197129551093,"endHours":20.77197129551093,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.957669666634832,"endHours":24.871957370244342,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:16","startHours":5.557655741368241,"endHours":7.271945185636078,"quality":"auspicious"},{"name":"Roga","start":"07:16","end":"08:59","startHours":7.271945185636078,"endHours":8.986234629903914,"quality":"inauspicious"},{"name":"Udveg","start":"08:59","end":"10:42","startHours":8.986234629903914,"endHours":10.70052407417175,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:25","startHours":10.70052407417175,"endHours":12.414813518439587,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.414813518439587,"endHours":14.129102962707421,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.129102962707421,"endHours":15.843392406975259,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:33","startHours":15.843392406975259,"endHours":17.557681851243096,"quality":"inauspicious"},{"name":"Śubha","start":"17:33","end":"19:16","startHours":17.557681851243096,"endHours":19.27197129551093,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:16","end":"20:33","startHours":19.27197129551093,"endHours":20.557681851243093,"quality":"auspicious"},{"name":"Kāla","start":"20:33","end":"21:51","startHours":20.557681851243093,"endHours":21.84339240697526,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.84339240697526,"endHours":23.12910296270742,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.12910296270742,"endHours":24.414813518439587,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:42","startHours":24.414813518439587,"endHours":25.70052407417175,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"02:59","startHours":25.70052407417175,"endHours":26.98623462990391,"quality":"neutral"},{"name":"Labha","start":"02:59","end":"04:16","startHours":26.98623462990391,"endHours":28.271945185636078,"quality":"auspicious"},{"name":"Amṛta","start":"04:16","end":"05:33","startHours":28.271945185636078,"endHours":29.55765574136824,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.557655741368241,"endHours":6.557655741368241,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.557655741368241,"endHours":7.557655741368241,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.557655741368241,"endHours":8.55765574136824,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.55765574136824,"endHours":9.55765574136824,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.55765574136824,"endHours":10.55765574136824,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.55765574136824,"endHours":11.55765574136824,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.55765574136824,"endHours":12.55765574136824,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.55765574136824,"endHours":13.55765574136824,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.55765574136824,"endHours":14.55765574136824,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.55765574136824,"endHours":15.55765574136824,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.55765574136824,"endHours":16.55765574136824,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55765574136824,"endHours":17.55765574136824,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55765574136824,"endHours":18.55765574136824,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55765574136824,"endHours":19.55765574136824,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55765574136824,"endHours":20.55765574136824,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55765574136824,"endHours":21.55765574136824,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55765574136824,"endHours":22.55765574136824,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55765574136824,"endHours":23.55765574136824,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55765574136824,"endHours":24.55765574136824,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55765574136824,"endHours":25.55765574136824,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55765574136824,"endHours":26.55765574136824,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55765574136824,"endHours":27.55765574136824,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55765574136824,"endHours":28.55765574136824,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55765574136824,"endHours":29.55765574136824,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":21.49244617993555,"eotMinutes":-5.583611106375076,"ayanamsa":23.9164}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 15, 2004 CE · Mathurā · Vidhyamitra","description":"July 15, 2004 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:33, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2004-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2004-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/2004-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/2004-07-15","x-default":"https://vidhyamitra.com/city/mathura/2004-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:34:19.220Z","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":"2026-05-14T17:34:19.220Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:34:19.220Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}