{"id":"vidhyamitra:city-day:mathura:2003-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-03-13","date_display":"March 13, 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":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452711.770833,"kali_year":5104,"ahargana":1864246.2708,"sun":{"sidereal_longitude":328.3185,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":80.4477,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.1292,"elapsed_within_tithi_degrees":4.1292},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.4477,"elapsed_within_degrees":0.4477},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.7661},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2003,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452711.770833,"ahargana":1864246.2708,"kali_year":5104,"ayanamsa_lahiri":23.8976,"grahas":{"sun":{"sidereal_longitude":328.150931,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":78.00543099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":2.7181},"mars":{"sidereal_longitude":251.242931,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":319.920831,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":104.85803099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"venus":{"sidereal_longitude":288.50213099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":58.455331,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":43.2612,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":223.2612,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452711.770833,"kali_year":5104,"ahargana":1864246.2708,"sun":{"sidereal_longitude":328.3185,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":80.4477,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.1292,"elapsed_within_tithi_degrees":4.1292},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.4477,"elapsed_within_degrees":0.4477},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.7661},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.718,"elongation":112.129},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.718,"opposition_distance":67.871}},"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":"06:32","sunsetLocal":"18:27","solarNoonLocal":"12:30","dayLengthHours":11.90632229929247,"dayLengthDisplay":"11 Hours 54 Mins 23 Secs","nightLengthDisplay":"12 Hours 05 Mins 37 Secs","moonriseLocal":"12:55","moonsetLocal":"02:43","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:28","startHours":13.980342286225039,"endHours":15.468632573636597,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:32","end":"08:02","startHours":6.538890849167245,"endHours":8.027181136578804,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:31","end":"11:00","startHours":9.515471423990363,"endHours":11.003761711401921,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:43","startHours":9.317032719002155,"endHours":9.71391012897857,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:21","startHours":7.0349876116377645,"endHours":7.352489539618897,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:53","startHours":12.095174588837065,"endHours":12.888929408789895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:57","end":"05:45","startHours":4.951381209261583,"endHours":5.7451360292144145,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:32","startHours":5.546697324226206,"endHours":6.538890849167245,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:16","startHours":14.476439048695557,"endHours":15.270193868648388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.245213148459715,"endHours":18.645213148459714,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:56","startHours":18.445213148459715,"endHours":18.941309910930233,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.195213148459715,"endHours":19.945213148459715,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:53","startHours":24.095174588837065,"endHours":24.888929408789895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:32","end":"08:02","startHours":6.538890849167245,"endHours":8.027181136578804,"quality":"auspicious"},{"name":"Roga","start":"08:02","end":"09:31","startHours":8.027181136578804,"endHours":9.515471423990363,"quality":"inauspicious"},{"name":"Udveg","start":"09:31","end":"11:00","startHours":9.515471423990363,"endHours":11.003761711401921,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:30","startHours":11.003761711401921,"endHours":12.49205199881348,"quality":"neutral"},{"name":"Labha","start":"12:30","end":"13:59","startHours":12.49205199881348,"endHours":13.980342286225039,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:28","startHours":13.980342286225039,"endHours":15.468632573636597,"quality":"auspicious"},{"name":"Kāla","start":"15:28","end":"16:57","startHours":15.468632573636597,"endHours":16.956922861048156,"quality":"inauspicious"},{"name":"Śubha","start":"16:57","end":"18:27","startHours":16.956922861048156,"endHours":18.445213148459715,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:27","end":"19:57","startHours":18.445213148459715,"endHours":19.956922861048156,"quality":"auspicious"},{"name":"Kāla","start":"19:57","end":"21:28","startHours":19.956922861048156,"endHours":21.468632573636597,"quality":"inauspicious"},{"name":"Śubha","start":"21:28","end":"22:59","startHours":21.468632573636597,"endHours":22.98034228622504,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:30","startHours":22.98034228622504,"endHours":24.49205199881348,"quality":"inauspicious"},{"name":"Udveg","start":"00:30","end":"02:00","startHours":24.49205199881348,"endHours":26.00376171140192,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:31","startHours":26.00376171140192,"endHours":27.515471423990363,"quality":"neutral"},{"name":"Labha","start":"03:31","end":"05:02","startHours":27.515471423990363,"endHours":29.027181136578804,"quality":"auspicious"},{"name":"Amṛta","start":"05:02","end":"06:32","startHours":29.027181136578804,"endHours":30.538890849167245,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.538890849167245,"endHours":7.538890849167245,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.538890849167245,"endHours":8.538890849167245,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.538890849167245,"endHours":9.538890849167245,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.538890849167245,"endHours":10.538890849167245,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.538890849167245,"endHours":11.538890849167245,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.538890849167245,"endHours":12.538890849167245,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.538890849167245,"endHours":13.538890849167245,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.538890849167245,"endHours":14.538890849167245,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.538890849167245,"endHours":15.538890849167245,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.538890849167245,"endHours":16.538890849167245,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.538890849167245,"endHours":17.538890849167245,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.538890849167245,"endHours":18.538890849167245,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.538890849167245,"endHours":19.538890849167245,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.538890849167245,"endHours":20.538890849167245,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.538890849167245,"endHours":21.538890849167245,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.538890849167245,"endHours":22.538890849167245,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.538890849167245,"endHours":23.538890849167245,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.538890849167245,"endHours":24.538890849167245,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.538890849167245,"endHours":25.538890849167245,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.538890849167245,"endHours":26.538890849167245,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.538890849167245,"endHours":27.538890849167245,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.538890849167245,"endHours":28.538890849167245,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.538890849167245,"endHours":29.538890849167245,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.538890849167245,"endHours":30.538890849167245,"planetary_lord":"Moon"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.154008127871146,"eotMinutes":-10.217919928808794,"ayanamsa":23.8976}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Daśamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 March 13, 2003 CE · Mathurā · Vidhyamitra","description":"March 13, 2003 CE for Mathurā: Śukla Daśamī, sūryodaya 06:32, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-03-13","sa":"https://sa.vidhyamitra.com/city/mathura/2003-03-13","hi":"https://hi.vidhyamitra.com/city/mathura/2003-03-13","x-default":"https://vidhyamitra.com/city/mathura/2003-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:36:15.474Z","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":"2026-05-14T09:36:15.474Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:36:15.474Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}