{"id":"vidhyamitra:city-day:mathura:2075-05-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-05-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-05-02","date_display":"May 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479059.770833,"kali_year":5177,"ahargana":1890594.2708,"sun":{"sidereal_longitude":16.7889,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":212.0752,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.2862,"elapsed_within_tithi_degrees":3.2862},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.0752,"elapsed_within_degrees":12.0752},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.8641},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479059.770833,"ahargana":1890594.2708,"kali_year":5177,"ayanamsa_lahiri":24.9053,"grahas":{"sun":{"sidereal_longitude":16.904743999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":214.33804399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":3.6913},"mars":{"sidereal_longitude":4.335544000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":31.991644000000008,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":128.28554400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":352.295644,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":231.81324399999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":87.2174,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.2174,"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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479059.770833,"kali_year":5177,"ahargana":1890594.2708,"sun":{"sidereal_longitude":16.7889,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":212.0752,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.2862,"elapsed_within_tithi_degrees":3.2862},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.0752,"elapsed_within_degrees":12.0752},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.8641},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.691,"elongation":164.714},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.691,"opposition_distance":15.286}},"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":"18:53","solarNoonLocal":"12:16","dayLengthHours":13.228399737185125,"dayLengthDisplay":"13 Hours 13 Mins 42 Secs","nightLengthDisplay":"10 Hours 46 Mins 18 Secs","moonriseLocal":"20:07","moonsetLocal":"06:45","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:35","startHours":13.924618640695467,"endHours":15.578168607843605,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:39","end":"07:19","startHours":5.656868804954763,"endHours":7.310418772102903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:58","end":"10:37","startHours":8.963968739251044,"endHours":10.617518706399185,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:11","startHours":8.743495410297959,"endHours":9.18444206820413,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:34","startHours":6.208052127337476,"endHours":6.560809453662412,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.830122015641154,"endHours":12.712015331453495,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:46","startHours":3.8930821733300793,"endHours":4.774975489142421,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:39","startHours":4.554502160189336,"endHours":5.656868804954763,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:21","startHours":14.47580196307818,"endHours":15.357695278890521,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.685268542139887,"endHours":19.085268542139886,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.885268542139887,"endHours":19.4364518645226,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.635268542139887,"endHours":20.385268542139887,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.830122015641155,"endHours":24.712015331453497,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:39","end":"07:19","startHours":5.656868804954763,"endHours":7.310418772102903,"quality":"auspicious"},{"name":"Roga","start":"07:19","end":"08:58","startHours":7.310418772102903,"endHours":8.963968739251044,"quality":"inauspicious"},{"name":"Udveg","start":"08:58","end":"10:37","startHours":8.963968739251044,"endHours":10.617518706399185,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:16","startHours":10.617518706399185,"endHours":12.271068673547326,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:55","startHours":12.271068673547326,"endHours":13.924618640695467,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:35","startHours":13.924618640695467,"endHours":15.578168607843605,"quality":"auspicious"},{"name":"Kāla","start":"15:35","end":"17:14","startHours":15.578168607843605,"endHours":17.231718574991746,"quality":"inauspicious"},{"name":"Śubha","start":"17:14","end":"18:53","startHours":17.231718574991746,"endHours":18.885268542139887,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:53","end":"20:14","startHours":18.885268542139887,"endHours":20.231718574991746,"quality":"auspicious"},{"name":"Kāla","start":"20:14","end":"21:35","startHours":20.231718574991746,"endHours":21.578168607843605,"quality":"inauspicious"},{"name":"Śubha","start":"21:35","end":"22:55","startHours":21.578168607843605,"endHours":22.924618640695464,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:16","startHours":22.924618640695464,"endHours":24.271068673547326,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:37","startHours":24.271068673547326,"endHours":25.61751870639918,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"02:58","startHours":25.61751870639918,"endHours":26.963968739251044,"quality":"neutral"},{"name":"Labha","start":"02:58","end":"04:19","startHours":26.963968739251044,"endHours":28.310418772102903,"quality":"auspicious"},{"name":"Amṛta","start":"04:19","end":"05:39","startHours":28.310418772102903,"endHours":29.65686880495476,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.656868804954763,"endHours":6.656868804954763,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.656868804954763,"endHours":7.656868804954763,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.656868804954763,"endHours":8.656868804954762,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.656868804954762,"endHours":9.656868804954762,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.656868804954762,"endHours":10.656868804954762,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.656868804954762,"endHours":11.656868804954762,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.656868804954762,"endHours":12.656868804954762,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.656868804954762,"endHours":13.656868804954762,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.656868804954762,"endHours":14.656868804954762,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.656868804954762,"endHours":15.656868804954762,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.656868804954762,"endHours":16.65686880495476,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.65686880495476,"endHours":17.65686880495476,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.65686880495476,"endHours":18.65686880495476,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.65686880495476,"endHours":19.65686880495476,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.65686880495476,"endHours":20.65686880495476,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.65686880495476,"endHours":21.65686880495476,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.65686880495476,"endHours":22.65686880495476,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.65686880495476,"endHours":23.65686880495476,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.65686880495476,"endHours":24.65686880495476,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.65686880495476,"endHours":25.65686880495476,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.65686880495476,"endHours":26.65686880495476,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.65686880495476,"endHours":27.65686880495476,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.65686880495476,"endHours":28.65686880495476,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.65686880495476,"endHours":29.65686880495476,"planetary_lord":"Moon"}],"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","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","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":15.376078296108293,"eotMinutes":3.041079587160539,"ayanamsa":24.9053}},"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 Dvitīyā · 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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 Viśākhā","url":"/day/-0562-04-11","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 2, 2075 CE · Mathurā · Vidhyamitra","description":"May 2, 2075 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 05:39, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-05-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-05-02","sa":"https://sa.vidhyamitra.com/city/mathura/2075-05-02","hi":"https://hi.vidhyamitra.com/city/mathura/2075-05-02","x-default":"https://vidhyamitra.com/city/mathura/2075-05-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:04.038Z","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":"2026-05-14T16:02:04.038Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:04.038Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}