{"id":"vidhyamitra:city-day:mathura:1981-05-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-05-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-05-03","date_display":"May 3, 1981 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":1981,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444727.770833,"kali_year":5083,"ahargana":1856262.2708,"sun":{"sidereal_longitude":19.0309,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":3.306,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.275,"elapsed_within_tithi_degrees":8.275},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.306,"elapsed_within_degrees":3.306},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.3369},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":1981,"month":5,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444727.770833,"ahargana":1856262.2708,"kali_year":5083,"ayanamsa_lahiri":23.5923,"grahas":{"sun":{"sidereal_longitude":18.93787900000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":2.6639789999999834,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.3847},"mars":{"sidereal_longitude":12.438878999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":25.419479000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":157.90727900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":25.874179000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":160.06957899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":106.2919,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":286.2919,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444727.770833,"kali_year":5083,"ahargana":1856262.2708,"sun":{"sidereal_longitude":19.0309,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":3.306,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.275,"elapsed_within_tithi_degrees":8.275},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.306,"elapsed_within_degrees":3.306},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.3369},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.385,"elongation":15.725},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.385,"opposition_distance":164.275}},"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":"05:39","sunsetLocal":"18:54","solarNoonLocal":"12:16","dayLengthHours":13.245215699062129,"dayLengthDisplay":"13 Hours 14 Mins 43 Secs","nightLengthDisplay":"10 Hours 45 Mins 17 Secs","moonriseLocal":"04:47","moonsetLocal":"17:35","rahuKala":{"name":"Rāhu Kāla","start":"17:14","end":"18:54","startHours":17.236132745839612,"endHours":18.891784708222378,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:55","startHours":12.269176858691313,"endHours":13.92482882107408,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:35","end":"17:14","startHours":15.580480783456846,"endHours":17.236132745839612,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.737119338941412,"endHours":9.17862652891015,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:33","startHours":6.198452996621171,"endHours":6.551658748596161,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.827669668722576,"endHours":12.71068404866005,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:46","startHours":3.8805402492852985,"endHours":4.7635546292227735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:39","startHours":4.542801034238405,"endHours":5.646569009160249,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.476712808535002,"endHours":15.359727188472476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.69178470822238,"endHours":19.091784708222377,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.891784708222378,"endHours":19.4436686956833,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.641784708222378,"endHours":20.391784708222378,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.827669668722574,"endHours":24.710684048660053,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:39","end":"07:18","startHours":5.646569009160249,"endHours":7.302220971543015,"quality":"inauspicious"},{"name":"Chala","start":"07:18","end":"08:57","startHours":7.302220971543015,"endHours":8.957872933925781,"quality":"neutral"},{"name":"Labha","start":"08:57","end":"10:37","startHours":8.957872933925781,"endHours":10.613524896308547,"quality":"auspicious"},{"name":"Amṛta","start":"10:37","end":"12:16","startHours":10.613524896308547,"endHours":12.269176858691313,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:55","startHours":12.269176858691313,"endHours":13.92482882107408,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:35","startHours":13.92482882107408,"endHours":15.580480783456846,"quality":"auspicious"},{"name":"Roga","start":"15:35","end":"17:14","startHours":15.580480783456846,"endHours":17.236132745839612,"quality":"inauspicious"},{"name":"Udveg","start":"17:14","end":"18:54","startHours":17.236132745839612,"endHours":18.891784708222378,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:54","end":"20:14","startHours":18.891784708222378,"endHours":20.236132745839612,"quality":"auspicious"},{"name":"Roga","start":"20:14","end":"21:35","startHours":20.236132745839612,"endHours":21.580480783456846,"quality":"inauspicious"},{"name":"Udveg","start":"21:35","end":"22:55","startHours":21.580480783456846,"endHours":22.92482882107408,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:16","startHours":22.92482882107408,"endHours":24.269176858691313,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:37","startHours":24.269176858691313,"endHours":25.613524896308547,"quality":"auspicious"},{"name":"Amṛta","start":"01:37","end":"02:57","startHours":25.613524896308547,"endHours":26.95787293392578,"quality":"auspicious"},{"name":"Kāla","start":"02:57","end":"04:18","startHours":26.95787293392578,"endHours":28.302220971543015,"quality":"inauspicious"},{"name":"Śubha","start":"04:18","end":"05:39","startHours":28.302220971543015,"endHours":29.64656900916025,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.646569009160249,"endHours":6.646569009160249,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.646569009160249,"endHours":7.646569009160249,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.646569009160249,"endHours":8.646569009160249,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.646569009160249,"endHours":9.646569009160249,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.646569009160249,"endHours":10.646569009160249,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.646569009160249,"endHours":11.646569009160249,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.646569009160249,"endHours":12.646569009160249,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.646569009160249,"endHours":13.646569009160249,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.646569009160249,"endHours":14.646569009160249,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.646569009160249,"endHours":15.646569009160249,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.646569009160249,"endHours":16.64656900916025,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.64656900916025,"endHours":17.64656900916025,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.64656900916025,"endHours":18.64656900916025,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.64656900916025,"endHours":19.64656900916025,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.64656900916025,"endHours":20.64656900916025,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.64656900916025,"endHours":21.64656900916025,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.64656900916025,"endHours":22.64656900916025,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.64656900916025,"endHours":23.64656900916025,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.64656900916025,"endHours":24.64656900916025,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.64656900916025,"endHours":25.64656900916025,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.64656900916025,"endHours":26.64656900916025,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.64656900916025,"endHours":27.64656900916025,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.64656900916025,"endHours":28.64656900916025,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.64656900916025,"endHours":29.64656900916025,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":15.596356676716537,"eotMinutes":3.154588478521171,"ayanamsa":23.5923}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Caturdaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 3, 1981 CE · Mathurā · Vidhyamitra","description":"May 3, 1981 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:39, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-05-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-05-03","sa":"https://sa.vidhyamitra.com/city/mathura/1981-05-03","hi":"https://hi.vidhyamitra.com/city/mathura/1981-05-03","x-default":"https://vidhyamitra.com/city/mathura/1981-05-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:49:56.447Z","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":"2026-05-14T18:49:56.447Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:49:56.447Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}