{"id":"vidhyamitra:city-day:mathura:2003-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-08-04","date_display":"August 4, 2003 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":2003,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452855.770833,"kali_year":5105,"ahargana":1864390.2708,"sun":{"sidereal_longitude":106.8215,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":180.2214,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.3999,"elapsed_within_tithi_degrees":1.3999},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.2214,"elapsed_within_degrees":6.8881},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.0429},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2003,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452855.770833,"ahargana":1864390.2708,"kali_year":5105,"ayanamsa_lahiri":23.9031,"grahas":{"sun":{"sidereal_longitude":107.381329,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":180.74262899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":2.6056},"mars":{"sidereal_longitude":315.87052900000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":132.43172900000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":121.01372900000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":103.305229,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":73.73282900000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":35.6314,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.6314,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":2003,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452855.770833,"kali_year":5105,"ahargana":1864390.2708,"sun":{"sidereal_longitude":106.8215,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":180.2214,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.3999,"elapsed_within_tithi_degrees":1.3999},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.2214,"elapsed_within_degrees":6.8881},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.0429},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.606,"elongation":73.4},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.606,"opposition_distance":106.6}},"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":"05:44","sunsetLocal":"19:07","solarNoonLocal":"12:25","dayLengthHours":13.383850802564655,"dayLengthDisplay":"13 Hours 23 Mins 02 Secs","nightLengthDisplay":"10 Hours 36 Mins 58 Secs","moonriseLocal":"11:36","moonsetLocal":"23:01","rahuKala":{"name":"Rāhu Kāla","start":"07:24","end":"09:04","startHours":7.399373706772218,"endHours":9.0723550570928,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.745336407413383,"endHours":12.418317757733963,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:05","end":"15:46","startHours":14.091299108054546,"endHours":15.76428045837513,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.849290877050056,"endHours":9.295419237135544,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.284052806558496,"endHours":6.640955494626887,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972189397648476,"endHours":12.864446117819453,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:50","startHours":3.941878916109682,"endHours":4.834135636280659,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.611071456237915,"endHours":5.726392356451636,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.648959558161405,"endHours":15.541216278332382,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.910243159016293,"endHours":19.31024315901629,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.110243159016292,"endHours":19.667903609123154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.860243159016292,"endHours":20.610243159016292,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972189397648478,"endHours":24.864446117819455,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:44","end":"07:24","startHours":5.726392356451636,"endHours":7.399373706772218,"quality":"auspicious"},{"name":"Kāla","start":"07:24","end":"09:04","startHours":7.399373706772218,"endHours":9.0723550570928,"quality":"inauspicious"},{"name":"Śubha","start":"09:04","end":"10:45","startHours":9.0723550570928,"endHours":10.745336407413383,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.745336407413383,"endHours":12.418317757733963,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:05","startHours":12.418317757733963,"endHours":14.091299108054546,"quality":"inauspicious"},{"name":"Chala","start":"14:05","end":"15:46","startHours":14.091299108054546,"endHours":15.76428045837513,"quality":"neutral"},{"name":"Labha","start":"15:46","end":"17:26","startHours":15.76428045837513,"endHours":17.43726180869571,"quality":"auspicious"},{"name":"Amṛta","start":"17:26","end":"19:07","startHours":17.43726180869571,"endHours":19.110243159016292,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:07","end":"20:26","startHours":19.110243159016292,"endHours":20.43726180869571,"quality":"neutral"},{"name":"Labha","start":"20:26","end":"21:46","startHours":20.43726180869571,"endHours":21.76428045837513,"quality":"auspicious"},{"name":"Amṛta","start":"21:46","end":"23:05","startHours":21.76428045837513,"endHours":23.091299108054546,"quality":"auspicious"},{"name":"Kāla","start":"23:05","end":"00:25","startHours":23.091299108054546,"endHours":24.418317757733966,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.745336407413383,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:04","startHours":25.745336407413383,"endHours":27.0723550570928,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:24","startHours":27.0723550570928,"endHours":28.399373706772217,"quality":"inauspicious"},{"name":"Chala","start":"04:24","end":"05:44","startHours":28.399373706772217,"endHours":29.726392356451637,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.726392356451636,"endHours":6.726392356451636,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.726392356451636,"endHours":7.726392356451636,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.726392356451636,"endHours":8.726392356451637,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.726392356451637,"endHours":9.726392356451637,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.726392356451637,"endHours":10.726392356451637,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.726392356451637,"endHours":11.726392356451637,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.726392356451637,"endHours":12.726392356451637,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.726392356451637,"endHours":13.726392356451637,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.726392356451637,"endHours":14.726392356451637,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.726392356451637,"endHours":15.726392356451637,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.726392356451637,"endHours":16.726392356451637,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.726392356451637,"endHours":17.726392356451637,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.726392356451637,"endHours":18.726392356451637,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.726392356451637,"endHours":19.726392356451637,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.726392356451637,"endHours":20.726392356451637,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.726392356451637,"endHours":21.726392356451637,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.726392356451637,"endHours":22.726392356451637,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.726392356451637,"endHours":23.726392356451637,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.726392356451637,"endHours":24.726392356451637,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.726392356451637,"endHours":25.726392356451637,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.726392356451637,"endHours":26.726392356451637,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.726392356451637,"endHours":27.726392356451637,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.726392356451637,"endHours":28.726392356451637,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.726392356451637,"endHours":29.726392356451637,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.389953162973836,"eotMinutes":-5.793865464037833,"ayanamsa":23.9031}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Saptamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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 August 4, 2003 CE · Mathurā · Vidhyamitra","description":"August 4, 2003 CE for Mathurā: Śukla Saptamī, sūryodaya 05:44, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2003-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2003-08-04","x-default":"https://vidhyamitra.com/city/mathura/2003-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T10:53:39.631Z","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":"2026-05-14T10:53:39.631Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T10:53:39.631Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}