{"id":"vidhyamitra:city-day:mathura:1901-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1901-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1901-05-01","date_display":"May 1, 1901 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":1901,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415505.770833,"kali_year":5003,"ahargana":1827040.2708,"sun":{"sidereal_longitude":17.7772,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":166.923,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.1458,"elapsed_within_tithi_degrees":5.1458},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":166.923,"elapsed_within_degrees":6.923},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.7002},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1901,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415505.770833,"ahargana":1827040.2708,"kali_year":5003,"ayanamsa_lahiri":22.4746,"grahas":{"sun":{"sidereal_longitude":17.490274,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":168.03587400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":-3.3263},"mars":{"sidereal_longitude":125.80807400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":3.9049739999999815,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":262.00187400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":18.877373999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":265.16587400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":214.6141,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.6141,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1901,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415505.770833,"kali_year":5003,"ahargana":1827040.2708,"sun":{"sidereal_longitude":17.7772,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":166.923,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.1458,"elapsed_within_tithi_degrees":5.1458},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":166.923,"elapsed_within_degrees":6.923},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.7002},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.326,"elongation":149.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.326,"opposition_distance":30.854}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":0.116,"elongation":1.881}]},"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":"05:41","sunsetLocal":"18:52","solarNoonLocal":"12:16","dayLengthHours":13.184737423972834,"dayLengthDisplay":"13 Hours 11 Mins 05 Secs","nightLengthDisplay":"10 Hours 48 Mins 55 Secs","moonriseLocal":"16:25","moonsetLocal":"04:13","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.921212055847157,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:20","end":"08:59","startHours":7.328843343860741,"endHours":8.976935521857346,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:16","startHours":10.625027699853948,"endHours":12.273119877850554,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.757189898124464,"endHours":9.196681145590226,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.230115225196338,"endHours":6.581708223168946,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.833628630384792,"endHours":12.712611125316316,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.9227861760010923,"endHours":4.801768670932614,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:41","startHours":4.582023047199733,"endHours":5.6807511658641365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.470576115179359,"endHours":15.349558610110881,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.665488589836972,"endHours":19.06548858983697,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.86548858983697,"endHours":19.414852649169173,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.61548858983697,"endHours":20.36548858983697,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.833628630384794,"endHours":24.712611125316315,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:41","end":"07:20","startHours":5.6807511658641365,"endHours":7.328843343860741,"quality":"auspicious"},{"name":"Amṛta","start":"07:20","end":"08:59","startHours":7.328843343860741,"endHours":8.976935521857346,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:38","startHours":8.976935521857346,"endHours":10.625027699853948,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:16","startHours":10.625027699853948,"endHours":12.273119877850554,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:55","startHours":12.273119877850554,"endHours":13.921212055847157,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:34","startHours":13.921212055847157,"endHours":15.569304233843763,"quality":"inauspicious"},{"name":"Chala","start":"15:34","end":"17:13","startHours":15.569304233843763,"endHours":17.217396411840365,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:52","startHours":17.217396411840365,"endHours":18.86548858983697,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:52","end":"20:13","startHours":18.86548858983697,"endHours":20.21739641184037,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:34","startHours":20.21739641184037,"endHours":21.569304233843763,"quality":"neutral"},{"name":"Labha","start":"21:34","end":"22:55","startHours":21.569304233843763,"endHours":22.921212055847157,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:16","startHours":22.921212055847157,"endHours":24.273119877850554,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:38","startHours":24.273119877850554,"endHours":25.625027699853952,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"02:59","startHours":25.625027699853952,"endHours":26.976935521857346,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:20","startHours":26.976935521857346,"endHours":28.32884334386074,"quality":"inauspicious"},{"name":"Udveg","start":"04:20","end":"05:41","startHours":28.32884334386074,"endHours":29.680751165864137,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.6807511658641365,"endHours":6.6807511658641365,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.6807511658641365,"endHours":7.6807511658641365,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.6807511658641365,"endHours":8.680751165864137,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.680751165864137,"endHours":9.680751165864137,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.680751165864137,"endHours":10.680751165864137,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.680751165864137,"endHours":11.680751165864137,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.680751165864137,"endHours":12.680751165864137,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.680751165864137,"endHours":13.680751165864137,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.680751165864137,"endHours":14.680751165864137,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.680751165864137,"endHours":15.680751165864137,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.680751165864137,"endHours":16.680751165864137,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.680751165864137,"endHours":17.680751165864137,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.680751165864137,"endHours":18.680751165864137,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.680751165864137,"endHours":19.680751165864137,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.680751165864137,"endHours":20.680751165864137,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.680751165864137,"endHours":21.680751165864137,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.680751165864137,"endHours":22.680751165864137,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.680751165864137,"endHours":23.680751165864137,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.680751165864137,"endHours":24.680751165864137,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.680751165864137,"endHours":25.680751165864137,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.680751165864137,"endHours":26.680751165864137,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.680751165864137,"endHours":27.680751165864137,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.680751165864137,"endHours":28.680751165864137,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.680751165864137,"endHours":29.680751165864137,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Rākṣasa","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":14.801475811997875,"eotMinutes":2.918007328966811,"ayanamsa":22.4746}},"calendars":{"vikram_samvat":1958,"vikram_samvatsara":"Ānanda","saka_samvat":1823,"saka_samvatsara":"Plava","bengali_samvat":1308,"malayalam_era":1077,"nanakshahi_year":432,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 1958 Ānanda · Śaka 1823 Plava"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 1901 CE · Mathurā · Vidhyamitra","description":"May 1, 1901 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:41, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1901-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1901-05-01","sa":"https://sa.vidhyamitra.com/city/mathura/1901-05-01","hi":"https://hi.vidhyamitra.com/city/mathura/1901-05-01","x-default":"https://vidhyamitra.com/city/mathura/1901-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T23:00:55.561Z","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":"2026-05-14T23:00:55.561Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T23:00:55.561Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}