{"id":"vidhyamitra:city-day:mathura:2076-05-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2076-05-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-05-18","date_display":"May 18, 2076 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":2076,"month":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479441.770833,"kali_year":5178,"ahargana":1890976.2708,"sun":{"sidereal_longitude":32.8821,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":202.8333,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.9512,"elapsed_within_tithi_degrees":1.9512},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.8333,"elapsed_within_degrees":2.8333},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.7154},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2076,"month":5,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479441.770833,"ahargana":1890976.2708,"kali_year":5178,"ayanamsa_lahiri":24.9199,"grahas":{"sun":{"sidereal_longitude":33.09574900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":204.12354900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":3.1324},"mars":{"sidereal_longitude":145.504549,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":6.874749000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":158.832849,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":32.79654900000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":242.913949,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":66.9772,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":246.9772,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2076,"month":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479441.770833,"kali_year":5178,"ahargana":1890976.2708,"sun":{"sidereal_longitude":32.8821,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":202.8333,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.9512,"elapsed_within_tithi_degrees":1.9512},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.8333,"elapsed_within_degrees":2.8333},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.7154},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.132,"elongation":169.951},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.132,"opposition_distance":10.049}},"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":"05:29","sunsetLocal":"19:03","solarNoonLocal":"12:16","dayLengthHours":13.568684186316219,"dayLengthDisplay":"13 Hours 34 Mins 07 Secs","nightLengthDisplay":"10 Hours 25 Mins 53 Secs","moonriseLocal":"18:15","moonsetLocal":"05:05","rahuKala":{"name":"Rāhu Kāla","start":"07:10","end":"08:52","startHours":7.172010393623592,"endHours":8.86809591691312,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:16","startHours":10.564181440202645,"endHours":12.260266963492175,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:39","startHours":13.9563524867817,"endHours":15.65243801007123,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.641951180474516,"endHours":9.094240653351722,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.0412867114305735,"endHours":6.4031182897323395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:43","startHours":11.807977490614967,"endHours":12.712556436369383,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:34","startHours":3.666766978825235,"endHours":4.57134592457965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:29","startHours":4.345201188141046,"endHours":5.475924870334064,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.521714327878211,"endHours":15.426293273632625,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.844609056650285,"endHours":19.244609056650283,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.044609056650284,"endHours":19.60997089774679,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.794609056650284,"endHours":20.544609056650284,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:43","startHours":23.807977490614967,"endHours":24.712556436369383,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:29","end":"07:10","startHours":5.475924870334064,"endHours":7.172010393623592,"quality":"auspicious"},{"name":"Kāla","start":"07:10","end":"08:52","startHours":7.172010393623592,"endHours":8.86809591691312,"quality":"inauspicious"},{"name":"Śubha","start":"08:52","end":"10:34","startHours":8.86809591691312,"endHours":10.564181440202645,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:16","startHours":10.564181440202645,"endHours":12.260266963492175,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:57","startHours":12.260266963492175,"endHours":13.9563524867817,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:39","startHours":13.9563524867817,"endHours":15.65243801007123,"quality":"neutral"},{"name":"Labha","start":"15:39","end":"17:21","startHours":15.65243801007123,"endHours":17.348523533360755,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:03","startHours":17.348523533360755,"endHours":19.044609056650284,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:03","end":"20:21","startHours":19.044609056650284,"endHours":20.348523533360755,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:39","startHours":20.348523533360755,"endHours":21.65243801007123,"quality":"auspicious"},{"name":"Amṛta","start":"21:39","end":"22:57","startHours":21.65243801007123,"endHours":22.956352486781704,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:16","startHours":22.956352486781704,"endHours":24.260266963492175,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:34","startHours":24.260266963492175,"endHours":25.564181440202645,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:52","startHours":25.564181440202645,"endHours":26.86809591691312,"quality":"inauspicious"},{"name":"Udveg","start":"02:52","end":"04:10","startHours":26.86809591691312,"endHours":28.172010393623594,"quality":"inauspicious"},{"name":"Chala","start":"04:10","end":"05:29","startHours":28.172010393623594,"endHours":29.475924870334065,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.475924870334064,"endHours":6.475924870334064,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.475924870334064,"endHours":7.475924870334064,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.475924870334064,"endHours":8.475924870334065,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.475924870334065,"endHours":9.475924870334065,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.475924870334065,"endHours":10.475924870334065,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.475924870334065,"endHours":11.475924870334065,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.475924870334065,"endHours":12.475924870334065,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.475924870334065,"endHours":13.475924870334065,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.475924870334065,"endHours":14.475924870334065,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.475924870334065,"endHours":15.475924870334065,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.475924870334065,"endHours":16.475924870334065,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.475924870334065,"endHours":17.475924870334065,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.475924870334065,"endHours":18.475924870334065,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.475924870334065,"endHours":19.475924870334065,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.475924870334065,"endHours":20.475924870334065,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.475924870334065,"endHours":21.475924870334065,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.475924870334065,"endHours":22.475924870334065,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.475924870334065,"endHours":23.475924870334065,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.475924870334065,"endHours":24.475924870334065,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.475924870334065,"endHours":25.475924870334065,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.475924870334065,"endHours":26.475924870334065,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.475924870334065,"endHours":27.475924870334065,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.475924870334065,"endHours":28.475924870334065,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.475924870334065,"endHours":29.475924870334065,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","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":19.715735623676373,"eotMinutes":3.6891821904695723,"ayanamsa":24.9199}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Pūrṇimā · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[{"id":"jyeshtha-purnima","name":"Jyeṣṭha Pūrṇimā (Vaṭa Sāvitrī)","name_sanskrit":"ज्येष्ठ पूर्णिमा","tradition":"Pan-Hindu","significance":"Vaṭa Sāvitrī Pūrṇimā in some traditions (others observe Amāvasyā).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Jyeṣṭha"},"precedence":3},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā + Viśākhā","url":"/day/-0562-04-11","relevance":1},{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","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, 2076 CE · Mathurā · Vidhyamitra","description":"May 18, 2076 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:29, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2076-05-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2076-05-18","sa":"https://sa.vidhyamitra.com/city/mathura/2076-05-18","hi":"https://hi.vidhyamitra.com/city/mathura/2076-05-18","x-default":"https://vidhyamitra.com/city/mathura/2076-05-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:54:04.013Z","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":"2026-05-14T14:54:04.013Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:54:04.013Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}