{"id":"vidhyamitra:city-day:mathura:2091-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-05-01","date_display":"May 1, 2091 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":2091,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484902.770833,"kali_year":5193,"ahargana":1896437.2708,"sun":{"sidereal_longitude":15.6875,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":164.232,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.5445,"elapsed_within_tithi_degrees":4.5445},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.232,"elapsed_within_degrees":4.232},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.9195},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2091,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484902.770833,"ahargana":1896437.2708,"kali_year":5193,"ayanamsa_lahiri":25.1288,"grahas":{"sun":{"sidereal_longitude":15.835298000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":162.39889800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":2.0136},"mars":{"sidereal_longitude":131.212698,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":350.47589800000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":266.32229800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":351.896798,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":57.02549800000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":137.6271,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.6271,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484902.770833,"kali_year":5193,"ahargana":1896437.2708,"sun":{"sidereal_longitude":15.6875,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":164.232,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.5445,"elapsed_within_tithi_degrees":4.5445},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.232,"elapsed_within_degrees":4.232},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.9195},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.014,"elongation":148.545},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.014,"opposition_distance":31.455}},"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":"05:40","sunsetLocal":"18:53","solarNoonLocal":"12:16","dayLengthHours":13.208482790689102,"dayLengthDisplay":"13 Hours 12 Mins 31 Secs","nightLengthDisplay":"10 Hours 47 Mins 29 Secs","moonriseLocal":"16:06","moonsetLocal":"03:59","rahuKala":{"name":"Rāhu Kāla","start":"15:35","end":"17:14","startHours":15.57524057552283,"endHours":17.226300924358966,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:58","end":"10:37","startHours":8.97099918017828,"endHours":10.622059529014418,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.924180226686692,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:11","startHours":8.750857800333462,"endHours":9.191140560023097,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.21923193211805,"endHours":6.571458139869759,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.832837118160917,"endHours":12.713402637540192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:47","startHours":3.9077474437474575,"endHours":4.788312963126731,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:40","startHours":4.568171583281913,"endHours":5.668878482506004,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.474533676298739,"endHours":15.355099195678012,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.677361273195107,"endHours":19.077361273195105,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.877361273195106,"endHours":19.427714722807153,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.627361273195106,"endHours":20.377361273195106,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.832837118160917,"endHours":24.71340263754019,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:40","end":"07:19","startHours":5.668878482506004,"endHours":7.319938831342142,"quality":"inauspicious"},{"name":"Udveg","start":"07:19","end":"08:58","startHours":7.319938831342142,"endHours":8.97099918017828,"quality":"inauspicious"},{"name":"Chala","start":"08:58","end":"10:37","startHours":8.97099918017828,"endHours":10.622059529014418,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:16","startHours":10.622059529014418,"endHours":12.273119877850554,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.924180226686692,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:35","startHours":13.924180226686692,"endHours":15.57524057552283,"quality":"inauspicious"},{"name":"Śubha","start":"15:35","end":"17:14","startHours":15.57524057552283,"endHours":17.226300924358966,"quality":"auspicious"},{"name":"Roga","start":"17:14","end":"18:53","startHours":17.226300924358966,"endHours":18.877361273195106,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:53","end":"20:14","startHours":18.877361273195106,"endHours":20.22630092435897,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"21:35","startHours":20.22630092435897,"endHours":21.57524057552283,"quality":"auspicious"},{"name":"Roga","start":"21:35","end":"22:55","startHours":21.57524057552283,"endHours":22.924180226686694,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:16","startHours":22.924180226686694,"endHours":24.273119877850554,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:37","startHours":24.273119877850554,"endHours":25.622059529014418,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"02:58","startHours":25.622059529014418,"endHours":26.970999180178282,"quality":"auspicious"},{"name":"Amṛta","start":"02:58","end":"04:19","startHours":26.970999180178282,"endHours":28.319938831342142,"quality":"auspicious"},{"name":"Kāla","start":"04:19","end":"05:40","startHours":28.319938831342142,"endHours":29.668878482506003,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.668878482506004,"endHours":6.668878482506004,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.668878482506004,"endHours":7.668878482506004,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.668878482506004,"endHours":8.668878482506004,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.668878482506004,"endHours":9.668878482506004,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.668878482506004,"endHours":10.668878482506004,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.668878482506004,"endHours":11.668878482506004,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.668878482506004,"endHours":12.668878482506004,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.668878482506004,"endHours":13.668878482506004,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.668878482506004,"endHours":14.668878482506004,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.668878482506004,"endHours":15.668878482506004,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.668878482506004,"endHours":16.668878482506003,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.668878482506003,"endHours":17.668878482506003,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.668878482506003,"endHours":18.668878482506003,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.668878482506003,"endHours":19.668878482506003,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.668878482506003,"endHours":20.668878482506003,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.668878482506003,"endHours":21.668878482506003,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.668878482506003,"endHours":22.668878482506003,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.668878482506003,"endHours":23.668878482506003,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.668878482506003,"endHours":24.668878482506003,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.668878482506003,"endHours":25.668878482506003,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.668878482506003,"endHours":26.668878482506003,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.668878482506003,"endHours":27.668878482506003,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.668878482506003,"endHours":28.668878482506003,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.668878482506003,"endHours":29.668878482506003,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","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":15.114440380022186,"eotMinutes":2.918007328966811,"ayanamsa":25.1288}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 1, 2091 CE · Mathurā · Vidhyamitra","description":"May 1, 2091 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:40, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-05-01","sa":"https://sa.vidhyamitra.com/city/mathura/2091-05-01","hi":"https://hi.vidhyamitra.com/city/mathura/2091-05-01","x-default":"https://vidhyamitra.com/city/mathura/2091-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:21:21.972Z","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":"2026-05-14T15:21:21.972Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:21:21.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}