{"id":"vidhyamitra:city-day:mathura:2102-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2102-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-05-20","date_display":"May 20, 2102 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":2102,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488938.770833,"kali_year":5204,"ahargana":1900473.2708,"sun":{"sidereal_longitude":33.1428,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":69.135,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.9922,"elapsed_within_tithi_degrees":11.9922},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.135,"elapsed_within_degrees":2.4683},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.2778},"karana":{"half_tithi_index":5,"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":2102,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488938.770833,"ahargana":1900473.2708,"kali_year":5204,"ayanamsa_lahiri":25.2832,"grahas":{"sun":{"sidereal_longitude":33.41979300000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":66.39019300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":2.5565},"mars":{"sidereal_longitude":94.09689300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":9.294292999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":236.18289299999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":357.590093,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":199.776293,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":283.7804,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.7804,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488938.770833,"kali_year":5204,"ahargana":1900473.2708,"sun":{"sidereal_longitude":33.1428,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":69.135,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.9922,"elapsed_within_tithi_degrees":11.9922},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.135,"elapsed_within_degrees":2.4683},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.2778},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.556,"elongation":35.992},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.556,"opposition_distance":144.008}},"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":13.581017772508098,"dayLengthDisplay":"13 Hours 34 Mins 52 Secs","nightLengthDisplay":"10 Hours 25 Mins 08 Secs","moonriseLocal":"07:33","moonsetLocal":"21:23","rahuKala":{"name":"Rāhu Kāla","start":"08:52","end":"10:34","startHours":8.86652700660322,"endHours":10.564154228166734,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:58","end":"15:39","startHours":13.959408671293758,"endHours":15.65703589285727,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:10","startHours":5.471272563476197,"endHours":7.168899785039709,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:06","startHours":8.640176710394753,"endHours":9.09287730281169,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.037148303997368,"endHours":6.3993087779309175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.80908085731331,"endHours":12.714482042147184,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:34","startHours":3.6604701938084507,"endHours":4.565871378642324,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.339521082433856,"endHours":5.471272563476197,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.52528441181493,"endHours":15.430685596648804,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.852290335984296,"endHours":19.252290335984295,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.052290335984296,"endHours":19.618166076505467,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.802290335984296,"endHours":20.552290335984296,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80908085731331,"endHours":24.714482042147182,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:10","startHours":5.471272563476197,"endHours":7.168899785039709,"quality":"inauspicious"},{"name":"Śubha","start":"07:10","end":"08:52","startHours":7.168899785039709,"endHours":8.86652700660322,"quality":"auspicious"},{"name":"Roga","start":"08:52","end":"10:34","startHours":8.86652700660322,"endHours":10.564154228166734,"quality":"inauspicious"},{"name":"Udveg","start":"10:34","end":"12:16","startHours":10.564154228166734,"endHours":12.261781449730247,"quality":"inauspicious"},{"name":"Chala","start":"12:16","end":"13:58","startHours":12.261781449730247,"endHours":13.959408671293758,"quality":"neutral"},{"name":"Labha","start":"13:58","end":"15:39","startHours":13.959408671293758,"endHours":15.65703589285727,"quality":"auspicious"},{"name":"Amṛta","start":"15:39","end":"17:21","startHours":15.65703589285727,"endHours":17.354663114420784,"quality":"auspicious"},{"name":"Kāla","start":"17:21","end":"19:03","startHours":17.354663114420784,"endHours":19.052290335984296,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:03","end":"20:21","startHours":19.052290335984296,"endHours":20.354663114420784,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"21:39","startHours":20.354663114420784,"endHours":21.657035892857273,"quality":"auspicious"},{"name":"Kāla","start":"21:39","end":"22:58","startHours":21.657035892857273,"endHours":22.959408671293758,"quality":"inauspicious"},{"name":"Śubha","start":"22:58","end":"00:16","startHours":22.959408671293758,"endHours":24.261781449730247,"quality":"auspicious"},{"name":"Roga","start":"00:16","end":"01:34","startHours":24.261781449730247,"endHours":25.564154228166736,"quality":"inauspicious"},{"name":"Udveg","start":"01:34","end":"02:52","startHours":25.564154228166736,"endHours":26.86652700660322,"quality":"inauspicious"},{"name":"Chala","start":"02:52","end":"04:10","startHours":26.86652700660322,"endHours":28.16889978503971,"quality":"neutral"},{"name":"Labha","start":"04:10","end":"05:28","startHours":28.16889978503971,"endHours":29.471272563476198,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.471272563476197,"endHours":6.471272563476197,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.471272563476197,"endHours":7.471272563476197,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.471272563476197,"endHours":8.471272563476198,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.471272563476198,"endHours":9.471272563476198,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.471272563476198,"endHours":10.471272563476198,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.471272563476198,"endHours":11.471272563476198,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.471272563476198,"endHours":12.471272563476198,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.471272563476198,"endHours":13.471272563476198,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.471272563476198,"endHours":14.471272563476198,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.471272563476198,"endHours":15.471272563476198,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.471272563476198,"endHours":16.471272563476198,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.471272563476198,"endHours":17.471272563476198,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.471272563476198,"endHours":18.471272563476198,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.471272563476198,"endHours":19.471272563476198,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.471272563476198,"endHours":20.471272563476198,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.471272563476198,"endHours":21.471272563476198,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.471272563476198,"endHours":22.471272563476198,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.471272563476198,"endHours":23.471272563476198,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.471272563476198,"endHours":24.471272563476198,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.471272563476198,"endHours":25.471272563476198,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.471272563476198,"endHours":26.471272563476198,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.471272563476198,"endHours":27.471272563476198,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.471272563476198,"endHours":28.471272563476198,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.471272563476198,"endHours":29.471272563476198,"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":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.868150213760796,"eotMinutes":3.5983130161851964,"ayanamsa":25.2832}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Tṛtīyā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"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 May 20, 2102 CE · Mathurā · Vidhyamitra","description":"May 20, 2102 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 05:28, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2102-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2102-05-20","sa":"https://sa.vidhyamitra.com/city/mathura/2102-05-20","hi":"https://hi.vidhyamitra.com/city/mathura/2102-05-20","x-default":"https://vidhyamitra.com/city/mathura/2102-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:38:50.566Z","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":"2026-05-14T20:38:50.566Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:38:50.566Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}