{"id":"vidhyamitra:city-day:mathura:2003-05-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-05-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-05-18","date_display":"May 18, 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":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452777.770833,"kali_year":5105,"ahargana":1864312.2708,"sun":{"sidereal_longitude":32.7761,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":238.3263,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.5502,"elapsed_within_tithi_degrees":1.5502},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.3263,"elapsed_within_degrees":11.6596},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.1024},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":5,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452777.770833,"ahargana":1864312.2708,"kali_year":5105,"ayanamsa_lahiri":23.9001,"grahas":{"sun":{"sidereal_longitude":32.81660899999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":239.41040900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":-1.4312},"mars":{"sidereal_longitude":291.11740899999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":17.352209000000016,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":106.94500899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":8.001508999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":63.92220900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":39.7642,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.7642,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"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":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452777.770833,"kali_year":5105,"ahargana":1864312.2708,"sun":{"sidereal_longitude":32.7761,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":238.3263,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.5502,"elapsed_within_tithi_degrees":1.5502},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.3263,"elapsed_within_degrees":11.6596},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.1024},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.431,"elongation":154.45},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.431,"opposition_distance":25.55}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":0.804,"opposition_distance":1.295},{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":0.403,"elongation":0.968}]},"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":"05:29","sunsetLocal":"19:02","solarNoonLocal":"12:16","dayLengthHours":13.54483917338616,"dayLengthDisplay":"13 Hours 32 Mins 41 Secs","nightLengthDisplay":"10 Hours 27 Mins 19 Secs","moonriseLocal":"20:51","moonsetLocal":"07:13","rahuKala":{"name":"Rāhu Kāla","start":"17:20","end":"19:02","startHours":17.339581653511985,"endHours":19.032686550185254,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:57","startHours":12.260266963492175,"endHours":13.953371860165444,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:39","end":"17:20","startHours":15.646476756838714,"endHours":17.339581653511985,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.648309850589197,"endHours":9.09980448970207,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.052215675690183,"endHours":6.4134113869804805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.808772324379303,"endHours":12.711761602605046,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:35","startHours":3.6818688203476055,"endHours":4.584858098573349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:29","startHours":4.3591107790169135,"endHours":5.487847376799094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.517740159056535,"endHours":15.42072943728228,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.832686550185255,"endHours":19.232686550185253,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.032686550185254,"endHours":19.597054849076343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.782686550185254,"endHours":20.532686550185254,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.8087723243793,"endHours":24.711761602605048,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:29","end":"07:11","startHours":5.487847376799094,"endHours":7.180952273472363,"quality":"inauspicious"},{"name":"Chala","start":"07:11","end":"08:52","startHours":7.180952273472363,"endHours":8.874057170145633,"quality":"neutral"},{"name":"Labha","start":"08:52","end":"10:34","startHours":8.874057170145633,"endHours":10.567162066818904,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:16","startHours":10.567162066818904,"endHours":12.260266963492175,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:57","startHours":12.260266963492175,"endHours":13.953371860165444,"quality":"inauspicious"},{"name":"Śubha","start":"13:57","end":"15:39","startHours":13.953371860165444,"endHours":15.646476756838714,"quality":"auspicious"},{"name":"Roga","start":"15:39","end":"17:20","startHours":15.646476756838714,"endHours":17.339581653511985,"quality":"inauspicious"},{"name":"Udveg","start":"17:20","end":"19:02","startHours":17.339581653511985,"endHours":19.032686550185254,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:02","end":"20:20","startHours":19.032686550185254,"endHours":20.339581653511985,"quality":"auspicious"},{"name":"Roga","start":"20:20","end":"21:39","startHours":20.339581653511985,"endHours":21.646476756838712,"quality":"inauspicious"},{"name":"Udveg","start":"21:39","end":"22:57","startHours":21.646476756838712,"endHours":22.953371860165444,"quality":"inauspicious"},{"name":"Chala","start":"22:57","end":"00:16","startHours":22.953371860165444,"endHours":24.260266963492175,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:34","startHours":24.260266963492175,"endHours":25.567162066818902,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:52","startHours":25.567162066818902,"endHours":26.874057170145633,"quality":"auspicious"},{"name":"Kāla","start":"02:52","end":"04:11","startHours":26.874057170145633,"endHours":28.180952273472364,"quality":"inauspicious"},{"name":"Śubha","start":"04:11","end":"05:29","startHours":28.180952273472364,"endHours":29.487847376799095,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.487847376799094,"endHours":6.487847376799094,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.487847376799094,"endHours":7.487847376799094,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.487847376799094,"endHours":8.487847376799094,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.487847376799094,"endHours":9.487847376799094,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.487847376799094,"endHours":10.487847376799094,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.487847376799094,"endHours":11.487847376799094,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.487847376799094,"endHours":12.487847376799094,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.487847376799094,"endHours":13.487847376799094,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.487847376799094,"endHours":14.487847376799094,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.487847376799094,"endHours":15.487847376799094,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.487847376799094,"endHours":16.487847376799095,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.487847376799095,"endHours":17.487847376799095,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.487847376799095,"endHours":18.487847376799095,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.487847376799095,"endHours":19.487847376799095,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.487847376799095,"endHours":20.487847376799095,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.487847376799095,"endHours":21.487847376799095,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.487847376799095,"endHours":22.487847376799095,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.487847376799095,"endHours":23.487847376799095,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.487847376799095,"endHours":24.487847376799095,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.487847376799095,"endHours":25.487847376799095,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.487847376799095,"endHours":26.487847376799095,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.487847376799095,"endHours":27.487847376799095,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.487847376799095,"endHours":28.487847376799095,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.487847376799095,"endHours":29.487847376799095,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.42006240532965,"eotMinutes":3.6891821904695723,"ayanamsa":23.9001}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 May 18, 2003 CE · Mathurā · Vidhyamitra","description":"May 18, 2003 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:29, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-05-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-05-18","sa":"https://sa.vidhyamitra.com/city/mathura/2003-05-18","hi":"https://hi.vidhyamitra.com/city/mathura/2003-05-18","x-default":"https://vidhyamitra.com/city/mathura/2003-05-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:32:06.323Z","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":"2026-05-14T15:32:06.323Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:32:06.323Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}