{"id":"vidhyamitra:city-day:mathura:2003-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-10-15","date_display":"October 15, 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":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452927.770833,"kali_year":5105,"ahargana":1864462.2708,"sun":{"sidereal_longitude":176.6269,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":52.1517,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.5248,"elapsed_within_tithi_degrees":7.5248},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.1517,"elapsed_within_degrees":12.1517},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.7786},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452927.770833,"ahargana":1864462.2708,"kali_year":5105,"ayanamsa_lahiri":23.9059,"grahas":{"sun":{"sidereal_longitude":177.370678,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":48.96967799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":1.5624},"mars":{"sidereal_longitude":308.13397800000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":169.86287800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":136.199478,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":192.59357799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":79.13157799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":31.8165,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.8165,"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":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452927.770833,"kali_year":5105,"ahargana":1864462.2708,"sun":{"sidereal_longitude":176.6269,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":52.1517,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.5248,"elapsed_within_tithi_degrees":7.5248},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.1517,"elapsed_within_degrees":12.1517},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.7786},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.562,"elongation":124.475},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.562,"opposition_distance":55.525}},"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":"06:18","sunsetLocal":"17:51","solarNoonLocal":"12:04","dayLengthHours":11.546416245129123,"dayLengthDisplay":"11 Hours 32 Mins 47 Secs","nightLengthDisplay":"12 Hours 27 Mins 13 Secs","moonriseLocal":"20:39","moonsetLocal":"10:23","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:31","startHours":12.074139493811533,"endHours":13.517441524452675,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:11","startHours":7.7442334018881125,"endHours":9.187535432529252,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:04","startHours":10.630837463170394,"endHours":12.074139493811533,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.995095161777101,"endHours":9.379975703281405,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.782032048127352,"endHours":7.0899364813307955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.68925895230723,"endHours":12.459020035315836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.761409205229755,"endHours":5.531170288238364,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:18","startHours":5.338730017486212,"endHours":6.300931371246972,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.998542201333056,"endHours":14.768303284341664,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.647347616376095,"endHours":18.047347616376094,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:20","startHours":17.847347616376094,"endHours":18.328448293256475,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.597347616376094,"endHours":19.347347616376094,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.689258952307227,"endHours":24.459020035315838,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:18","end":"07:45","startHours":6.300931371246972,"endHours":7.7442334018881125,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:11","startHours":7.7442334018881125,"endHours":9.187535432529252,"quality":"auspicious"},{"name":"Kāla","start":"09:11","end":"10:38","startHours":9.187535432529252,"endHours":10.630837463170394,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:04","startHours":10.630837463170394,"endHours":12.074139493811533,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:31","startHours":12.074139493811533,"endHours":13.517441524452675,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"14:58","startHours":13.517441524452675,"endHours":14.960743555093813,"quality":"inauspicious"},{"name":"Chala","start":"14:58","end":"16:24","startHours":14.960743555093813,"endHours":16.404045585734956,"quality":"neutral"},{"name":"Labha","start":"16:24","end":"17:51","startHours":16.404045585734956,"endHours":17.847347616376094,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:51","end":"19:24","startHours":17.847347616376094,"endHours":19.404045585734956,"quality":"inauspicious"},{"name":"Chala","start":"19:24","end":"20:58","startHours":19.404045585734956,"endHours":20.960743555093813,"quality":"neutral"},{"name":"Labha","start":"20:58","end":"22:31","startHours":20.960743555093813,"endHours":22.51744152445267,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"00:04","startHours":22.51744152445267,"endHours":24.074139493811533,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:38","startHours":24.074139493811533,"endHours":25.630837463170394,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:11","startHours":25.630837463170394,"endHours":27.187535432529252,"quality":"auspicious"},{"name":"Roga","start":"03:11","end":"04:45","startHours":27.187535432529252,"endHours":28.74423340188811,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:18","startHours":28.74423340188811,"endHours":30.30093137124697,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.300931371246972,"endHours":7.300931371246972,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.300931371246972,"endHours":8.300931371246971,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.300931371246971,"endHours":9.300931371246971,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.300931371246971,"endHours":10.300931371246971,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.300931371246971,"endHours":11.300931371246971,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.300931371246971,"endHours":12.300931371246971,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.300931371246971,"endHours":13.300931371246971,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.300931371246971,"endHours":14.300931371246971,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.300931371246971,"endHours":15.300931371246971,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.300931371246971,"endHours":16.30093137124697,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.30093137124697,"endHours":17.30093137124697,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.30093137124697,"endHours":18.30093137124697,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.30093137124697,"endHours":19.30093137124697,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.30093137124697,"endHours":20.30093137124697,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.30093137124697,"endHours":21.30093137124697,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.30093137124697,"endHours":22.30093137124697,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.30093137124697,"endHours":23.30093137124697,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.30093137124697,"endHours":24.30093137124697,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.30093137124697,"endHours":25.30093137124697,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.30093137124697,"endHours":26.30093137124697,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.30093137124697,"endHours":27.30093137124697,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.30093137124697,"endHours":28.30093137124697,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.30093137124697,"endHours":29.30093137124697,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.30093137124697,"endHours":30.30093137124697,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.298211384621538,"eotMinutes":14.85683037130801,"ayanamsa":23.9059}},"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 Pañcamī · 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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 October 15, 2003 CE · Mathurā · Vidhyamitra","description":"October 15, 2003 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:18, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-10-15","sa":"https://sa.vidhyamitra.com/city/mathura/2003-10-15","hi":"https://hi.vidhyamitra.com/city/mathura/2003-10-15","x-default":"https://vidhyamitra.com/city/mathura/2003-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:57:14.512Z","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":"2026-05-14T09:57:14.512Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:57:14.512Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}