{"id":"vidhyamitra:city-day:mathura:2075-05-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-05-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-05-03","date_display":"May 3, 2075 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":2075,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479060.770833,"kali_year":5177,"ahargana":1890595.2708,"sun":{"sidereal_longitude":17.7544,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":226.4982,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.7438,"elapsed_within_tithi_degrees":4.7438},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4982,"elapsed_within_degrees":13.1648},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.2526},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2075,"month":5,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479060.770833,"ahargana":1890595.2708,"kali_year":5177,"ayanamsa_lahiri":24.9054,"grahas":{"sun":{"sidereal_longitude":17.875306000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":229.166206,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":2.9307},"mars":{"sidereal_longitude":5.088105999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":32.05460599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":128.290706,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":353.514706,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":231.76000599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":87.1644,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.1644,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":2075,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479060.770833,"kali_year":5177,"ahargana":1890595.2708,"sun":{"sidereal_longitude":17.7544,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":226.4982,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.7438,"elapsed_within_tithi_degrees":4.7438},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4982,"elapsed_within_degrees":13.1648},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.2526},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.931,"elongation":151.256},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.931,"opposition_distance":28.744}},"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":13.251035135732344,"dayLengthDisplay":"13 Hours 15 Mins 04 Secs","nightLengthDisplay":"10 Hours 44 Mins 56 Secs","moonriseLocal":"21:08","moonsetLocal":"07:34","rahuKala":{"name":"Rāhu Kāla","start":"10:37","end":"12:16","startHours":10.61279746672477,"endHours":12.269176858691313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:35","end":"17:14","startHours":15.581935642624398,"endHours":17.238315034590943,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:18","end":"08:57","startHours":7.300038682791683,"endHours":8.956418074758226,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.735567489162687,"endHours":9.177268660353766,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:33","startHours":6.195785754813988,"endHours":6.54914669176685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.827475687500236,"endHours":12.710878029882391,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:46","startHours":3.876854606060828,"endHours":4.760256948442984,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:39","startHours":4.539406362847445,"endHours":5.64365929082514,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.477682714646704,"endHours":15.36108505702886,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.694694426557486,"endHours":19.094694426557485,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.894694426557486,"endHours":19.446820890546334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.644694426557486,"endHours":20.394694426557486,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.827475687500236,"endHours":24.71087802988239,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:39","end":"07:18","startHours":5.64365929082514,"endHours":7.300038682791683,"quality":"neutral"},{"name":"Labha","start":"07:18","end":"08:57","startHours":7.300038682791683,"endHours":8.956418074758226,"quality":"auspicious"},{"name":"Amṛta","start":"08:57","end":"10:37","startHours":8.956418074758226,"endHours":10.61279746672477,"quality":"auspicious"},{"name":"Kāla","start":"10:37","end":"12:16","startHours":10.61279746672477,"endHours":12.269176858691313,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:56","startHours":12.269176858691313,"endHours":13.925556250657856,"quality":"auspicious"},{"name":"Roga","start":"13:56","end":"15:35","startHours":13.925556250657856,"endHours":15.581935642624398,"quality":"inauspicious"},{"name":"Udveg","start":"15:35","end":"17:14","startHours":15.581935642624398,"endHours":17.238315034590943,"quality":"inauspicious"},{"name":"Chala","start":"17:14","end":"18:54","startHours":17.238315034590943,"endHours":18.894694426557486,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:54","end":"20:14","startHours":18.894694426557486,"endHours":20.238315034590943,"quality":"inauspicious"},{"name":"Udveg","start":"20:14","end":"21:35","startHours":20.238315034590943,"endHours":21.5819356426244,"quality":"inauspicious"},{"name":"Chala","start":"21:35","end":"22:56","startHours":21.5819356426244,"endHours":22.925556250657856,"quality":"neutral"},{"name":"Labha","start":"22:56","end":"00:16","startHours":22.925556250657856,"endHours":24.269176858691313,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:37","startHours":24.269176858691313,"endHours":25.61279746672477,"quality":"auspicious"},{"name":"Kāla","start":"01:37","end":"02:57","startHours":25.61279746672477,"endHours":26.956418074758226,"quality":"inauspicious"},{"name":"Śubha","start":"02:57","end":"04:18","startHours":26.956418074758226,"endHours":28.300038682791683,"quality":"auspicious"},{"name":"Roga","start":"04:18","end":"05:39","startHours":28.300038682791683,"endHours":29.64365929082514,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.64365929082514,"endHours":6.64365929082514,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.64365929082514,"endHours":7.64365929082514,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.64365929082514,"endHours":8.643659290825141,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.643659290825141,"endHours":9.643659290825141,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.643659290825141,"endHours":10.643659290825141,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.643659290825141,"endHours":11.643659290825141,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.643659290825141,"endHours":12.643659290825141,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.643659290825141,"endHours":13.643659290825141,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.643659290825141,"endHours":14.643659290825141,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.643659290825141,"endHours":15.643659290825141,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.643659290825141,"endHours":16.64365929082514,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.64365929082514,"endHours":17.64365929082514,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.64365929082514,"endHours":18.64365929082514,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.64365929082514,"endHours":19.64365929082514,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.64365929082514,"endHours":20.64365929082514,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.64365929082514,"endHours":21.64365929082514,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.64365929082514,"endHours":22.64365929082514,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.64365929082514,"endHours":23.64365929082514,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.64365929082514,"endHours":24.64365929082514,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.64365929082514,"endHours":25.64365929082514,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.64365929082514,"endHours":26.64365929082514,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.64365929082514,"endHours":27.64365929082514,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.64365929082514,"endHours":28.64365929082514,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.64365929082514,"endHours":29.64365929082514,"planetary_lord":"Mars"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":15.672453556579649,"eotMinutes":3.154588478521171,"ayanamsa":24.9054}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Tṛtīyā · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 3, 2075 CE · Mathurā · Vidhyamitra","description":"May 3, 2075 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:39, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-05-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-05-03","sa":"https://sa.vidhyamitra.com/city/mathura/2075-05-03","hi":"https://hi.vidhyamitra.com/city/mathura/2075-05-03","x-default":"https://vidhyamitra.com/city/mathura/2075-05-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:43:07.948Z","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":"2026-05-14T15:43:07.948Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:43:07.948Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}