{"id":"vidhyamitra:city-day:mathura:2018-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2018-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-05-20","date_display":"May 20, 2018 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":2018,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458258.770833,"kali_year":5120,"ahargana":1869793.2708,"sun":{"sidereal_longitude":34.8031,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":94.3273,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5242,"elapsed_within_tithi_degrees":11.5242},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.3273,"elapsed_within_degrees":0.994},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.1305},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2018,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458258.770833,"ahargana":1869793.2708,"kali_year":5120,"ayanamsa_lahiri":24.1098,"grahas":{"sun":{"sidereal_longitude":34.89259500000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":97.01879500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-1.1656},"mars":{"sidereal_longitude":277.09999500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":16.195895000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":202.70329500000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":66.23479500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":254.11769500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":109.3544,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.3544,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2018,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458258.770833,"kali_year":5120,"ahargana":1869793.2708,"sun":{"sidereal_longitude":34.8031,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":94.3273,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5242,"elapsed_within_tithi_degrees":11.5242},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.3273,"elapsed_within_degrees":0.994},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.1305},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.166,"elongation":59.524},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.166,"opposition_distance":120.476}},"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":"05:28","sunsetLocal":"19:03","solarNoonLocal":"12:16","dayLengthHours":13.586327436992782,"dayLengthDisplay":"13 Hours 35 Mins 11 Secs","nightLengthDisplay":"10 Hours 24 Mins 49 Secs","moonriseLocal":"09:38","moonsetLocal":"23:11","rahuKala":{"name":"Rāhu Kāla","start":"17:21","end":"19:03","startHours":17.35665423860254,"endHours":19.054945168226638,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:58","startHours":12.261781449730247,"endHours":13.960072379354344,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:40","end":"17:21","startHours":15.65836330897844,"endHours":17.35665423860254,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.638760799865505,"endHours":9.091638381098598,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.034714707775221,"endHours":6.397016772761695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.808903868497154,"endHours":12.71465903096334,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.657107406301484,"endHours":4.562862568767669,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.336423778151123,"endHours":5.468617731233855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.52616935589571,"endHours":15.431924518361896,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85494516822664,"endHours":19.254945168226637,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.054945168226638,"endHours":19.621042144768005,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.804945168226638,"endHours":20.554945168226638,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.808903868497154,"endHours":24.71465903096334,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:28","end":"07:10","startHours":5.468617731233855,"endHours":7.166908660857953,"quality":"inauspicious"},{"name":"Chala","start":"07:10","end":"08:52","startHours":7.166908660857953,"endHours":8.86519959048205,"quality":"neutral"},{"name":"Labha","start":"08:52","end":"10:34","startHours":8.86519959048205,"endHours":10.563490520106148,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:16","startHours":10.563490520106148,"endHours":12.261781449730247,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:58","startHours":12.261781449730247,"endHours":13.960072379354344,"quality":"inauspicious"},{"name":"Śubha","start":"13:58","end":"15:40","startHours":13.960072379354344,"endHours":15.65836330897844,"quality":"auspicious"},{"name":"Roga","start":"15:40","end":"17:21","startHours":15.65836330897844,"endHours":17.35665423860254,"quality":"inauspicious"},{"name":"Udveg","start":"17:21","end":"19:03","startHours":17.35665423860254,"endHours":19.054945168226638,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:03","end":"20:21","startHours":19.054945168226638,"endHours":20.35665423860254,"quality":"auspicious"},{"name":"Roga","start":"20:21","end":"21:40","startHours":20.35665423860254,"endHours":21.658363308978444,"quality":"inauspicious"},{"name":"Udveg","start":"21:40","end":"22:58","startHours":21.658363308978444,"endHours":22.960072379354344,"quality":"inauspicious"},{"name":"Chala","start":"22:58","end":"00:16","startHours":22.960072379354344,"endHours":24.261781449730247,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:34","startHours":24.261781449730247,"endHours":25.56349052010615,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:52","startHours":25.56349052010615,"endHours":26.86519959048205,"quality":"auspicious"},{"name":"Kāla","start":"02:52","end":"04:10","startHours":26.86519959048205,"endHours":28.166908660857953,"quality":"inauspicious"},{"name":"Śubha","start":"04:10","end":"05:28","startHours":28.166908660857953,"endHours":29.468617731233856,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.468617731233855,"endHours":6.468617731233855,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.468617731233855,"endHours":7.468617731233855,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.468617731233855,"endHours":8.468617731233856,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.468617731233856,"endHours":9.468617731233856,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.468617731233856,"endHours":10.468617731233856,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.468617731233856,"endHours":11.468617731233856,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.468617731233856,"endHours":12.468617731233856,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.468617731233856,"endHours":13.468617731233856,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.468617731233856,"endHours":14.468617731233856,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.468617731233856,"endHours":15.468617731233856,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.468617731233856,"endHours":16.468617731233856,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.468617731233856,"endHours":17.468617731233856,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.468617731233856,"endHours":18.468617731233856,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.468617731233856,"endHours":19.468617731233856,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.468617731233856,"endHours":20.468617731233856,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.468617731233856,"endHours":21.468617731233856,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.468617731233856,"endHours":22.468617731233856,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.468617731233856,"endHours":23.468617731233856,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.468617731233856,"endHours":24.468617731233856,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.468617731233856,"endHours":25.468617731233856,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.468617731233856,"endHours":26.468617731233856,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.468617731233856,"endHours":27.468617731233856,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.468617731233856,"endHours":28.468617731233856,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.468617731233856,"endHours":29.468617731233856,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.933655899670217,"eotMinutes":3.5983130161851964,"ayanamsa":24.1098}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Pañcamī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"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":[]},"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 20, 2018 CE · Mathurā · Vidhyamitra","description":"May 20, 2018 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:28, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2018-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2018-05-20","sa":"https://sa.vidhyamitra.com/city/mathura/2018-05-20","hi":"https://hi.vidhyamitra.com/city/mathura/2018-05-20","x-default":"https://vidhyamitra.com/city/mathura/2018-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:42:18.267Z","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":"2026-05-14T15:42:18.267Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:42:18.267Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}