{"id":"vidhyamitra:city-day:mathura:2003-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-09-20","date_display":"September 20, 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":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452902.770833,"kali_year":5105,"ahargana":1864437.2708,"sun":{"sidereal_longitude":152.0338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":78.1799,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1461,"elapsed_within_tithi_degrees":10.1461},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.1799,"elapsed_within_degrees":11.5132},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.2137},"karana":{"half_tithi_index":47,"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":2003,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452902.770833,"ahargana":1864437.2708,"kali_year":5105,"ayanamsa_lahiri":23.9049,"grahas":{"sun":{"sidereal_longitude":152.77763400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":76.60873400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":3.1825},"mars":{"sidereal_longitude":306.43733399999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":138.36893400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":131.18663400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":161.50543399999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.08193399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":33.1411,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":213.1411,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452902.770833,"kali_year":5105,"ahargana":1864437.2708,"sun":{"sidereal_longitude":152.0338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":78.1799,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1461,"elapsed_within_tithi_degrees":10.1461},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.1799,"elapsed_within_degrees":11.5132},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.2137},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.182,"elongation":73.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.182,"opposition_distance":106.146}},"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":"06:05","sunsetLocal":"18:18","solarNoonLocal":"12:12","dayLengthHours":12.216789803985515,"dayLengthDisplay":"12 Hours 13 Mins 00 Secs","nightLengthDisplay":"11 Hours 47 Mins 00 Secs","moonriseLocal":"00:13","moonsetLocal":"14:01","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:40","startHours":9.145107302977713,"endHours":10.672206028475903,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:15","startHours":13.726403479472282,"endHours":15.253502204970472,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:05","end":"07:37","startHours":6.090909851981335,"endHours":7.618008577479524,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.941494139577955,"endHours":9.348720466377472,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:56","startHours":6.599942760480731,"endHours":6.925723821920345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:36","startHours":11.792078427174577,"endHours":12.60653108077361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:28","end":"05:17","startHours":4.462004544783267,"endHours":5.2764571983823005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:05","startHours":5.072844034982542,"endHours":6.090909851981335,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:03","startHours":14.235436387971678,"endHours":15.049889041570712,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.10769965596685,"endHours":18.50769965596685,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:49","startHours":18.30769965596685,"endHours":18.816732564466246,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.05769965596685,"endHours":19.80769965596685,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:36","startHours":23.792078427174577,"endHours":24.60653108077361,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:05","end":"07:37","startHours":6.090909851981335,"endHours":7.618008577479524,"quality":"inauspicious"},{"name":"Śubha","start":"07:37","end":"09:09","startHours":7.618008577479524,"endHours":9.145107302977713,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:40","startHours":9.145107302977713,"endHours":10.672206028475903,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:12","startHours":10.672206028475903,"endHours":12.199304753974094,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:44","startHours":12.199304753974094,"endHours":13.726403479472282,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:15","startHours":13.726403479472282,"endHours":15.253502204970472,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:47","startHours":15.253502204970472,"endHours":16.78060093046866,"quality":"auspicious"},{"name":"Kāla","start":"16:47","end":"18:18","startHours":16.78060093046866,"endHours":18.30769965596685,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:18","end":"19:47","startHours":18.30769965596685,"endHours":19.780600930468662,"quality":"auspicious"},{"name":"Amṛta","start":"19:47","end":"21:15","startHours":19.780600930468662,"endHours":21.25350220497047,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"22:44","startHours":21.25350220497047,"endHours":22.726403479472282,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:12","startHours":22.726403479472282,"endHours":24.199304753974094,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:40","startHours":24.199304753974094,"endHours":25.672206028475905,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"03:09","startHours":25.672206028475905,"endHours":27.145107302977713,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:37","startHours":27.145107302977713,"endHours":28.618008577479525,"quality":"neutral"},{"name":"Labha","start":"04:37","end":"06:05","startHours":28.618008577479525,"endHours":30.090909851981337,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.090909851981335,"endHours":7.090909851981335,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.090909851981335,"endHours":8.090909851981335,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.090909851981335,"endHours":9.090909851981335,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.090909851981335,"endHours":10.090909851981335,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.090909851981335,"endHours":11.090909851981335,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.090909851981335,"endHours":12.090909851981335,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.090909851981335,"endHours":13.090909851981335,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.090909851981335,"endHours":14.090909851981335,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.090909851981335,"endHours":15.090909851981335,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.090909851981335,"endHours":16.090909851981337,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.090909851981337,"endHours":17.090909851981337,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.090909851981337,"endHours":18.090909851981337,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.090909851981337,"endHours":19.090909851981337,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.090909851981337,"endHours":20.090909851981337,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.090909851981337,"endHours":21.090909851981337,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.090909851981337,"endHours":22.090909851981337,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.090909851981337,"endHours":23.090909851981337,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.090909851981337,"endHours":24.090909851981337,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.090909851981337,"endHours":25.090909851981337,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.090909851981337,"endHours":26.090909851981337,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.090909851981337,"endHours":27.090909851981337,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.090909851981337,"endHours":28.090909851981337,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.090909851981337,"endHours":29.090909851981337,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.090909851981337,"endHours":30.090909851981337,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":1.3188432505634076,"eotMinutes":7.346914761554353,"ayanamsa":23.9049}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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 September 20, 2003 CE · Mathurā · Vidhyamitra","description":"September 20, 2003 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 06:05, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-09-20","sa":"https://sa.vidhyamitra.com/city/mathura/2003-09-20","hi":"https://hi.vidhyamitra.com/city/mathura/2003-09-20","x-default":"https://vidhyamitra.com/city/mathura/2003-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:40:36.167Z","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":"2026-05-14T15:40:36.167Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:40:36.167Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}