{"id":"vidhyamitra:city-day:mathura:1897-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1897-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1897-05-13","date_display":"May 13, 1897 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":1897,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2414057.770833,"kali_year":4999,"ahargana":1825592.2708,"sun":{"sidereal_longitude":30.3128,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":163.1146,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.8018,"elapsed_within_tithi_degrees":0.8018},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.1146,"elapsed_within_degrees":3.1146},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.4274},"karana":{"half_tithi_index":22,"name":"Bava"},"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":1897,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2414057.770833,"ahargana":1825592.2708,"kali_year":4999,"ayanamsa_lahiri":22.4193,"grahas":{"sun":{"sidereal_longitude":30.08829800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":160.26839800000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-3.5339},"mars":{"sidereal_longitude":95.959698,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":43.42989799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":128.852998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":10.495597999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":216.58539799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":291.3361,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.3361,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1897,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2414057.770833,"kali_year":4999,"ahargana":1825592.2708,"sun":{"sidereal_longitude":30.3128,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":163.1146,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.8018,"elapsed_within_tithi_degrees":0.8018},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.1146,"elapsed_within_degrees":3.1146},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.4274},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.534,"elongation":132.802},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.534,"opposition_distance":47.198}},"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":"05:32","sunsetLocal":"18:59","solarNoonLocal":"12:16","dayLengthHours":13.463013110839995,"dayLengthDisplay":"13 Hours 27 Mins 47 Secs","nightLengthDisplay":"10 Hours 32 Mins 13 Secs","moonriseLocal":"14:56","moonsetLocal":"02:57","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:37","startHours":13.942072659795727,"endHours":15.624949298650726,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:32","end":"07:13","startHours":5.52768946552073,"endHours":7.210566104375729,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:54","end":"10:35","startHours":8.893442743230729,"endHours":10.576319382085728,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.669059191383395,"endHours":9.117826295078062,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.088648345139063,"endHours":6.447662028094796,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.81042891724606,"endHours":12.707963124635395,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.732621050742064,"endHours":4.630155258131397,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.405771706284064,"endHours":5.52768946552073,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.50303153941406,"endHours":15.400565746803393,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.790702576360726,"endHours":19.190702576360724,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:33","startHours":18.990702576360725,"endHours":19.55166145597906,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.740702576360725,"endHours":20.490702576360725,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.81042891724606,"endHours":24.707963124635395,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:32","end":"07:13","startHours":5.52768946552073,"endHours":7.210566104375729,"quality":"auspicious"},{"name":"Roga","start":"07:13","end":"08:54","startHours":7.210566104375729,"endHours":8.893442743230729,"quality":"inauspicious"},{"name":"Udveg","start":"08:54","end":"10:35","startHours":8.893442743230729,"endHours":10.576319382085728,"quality":"inauspicious"},{"name":"Chala","start":"10:35","end":"12:16","startHours":10.576319382085728,"endHours":12.259196020940728,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:57","startHours":12.259196020940728,"endHours":13.942072659795727,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:37","startHours":13.942072659795727,"endHours":15.624949298650726,"quality":"auspicious"},{"name":"Kāla","start":"15:37","end":"17:18","startHours":15.624949298650726,"endHours":17.307825937505726,"quality":"inauspicious"},{"name":"Śubha","start":"17:18","end":"18:59","startHours":17.307825937505726,"endHours":18.990702576360725,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:59","end":"20:18","startHours":18.990702576360725,"endHours":20.307825937505726,"quality":"auspicious"},{"name":"Kāla","start":"20:18","end":"21:37","startHours":20.307825937505726,"endHours":21.624949298650726,"quality":"inauspicious"},{"name":"Śubha","start":"21:37","end":"22:57","startHours":21.624949298650726,"endHours":22.942072659795727,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:16","startHours":22.942072659795727,"endHours":24.259196020940728,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:35","startHours":24.259196020940728,"endHours":25.576319382085728,"quality":"inauspicious"},{"name":"Chala","start":"01:35","end":"02:54","startHours":25.576319382085728,"endHours":26.89344274323073,"quality":"neutral"},{"name":"Labha","start":"02:54","end":"04:13","startHours":26.89344274323073,"endHours":28.21056610437573,"quality":"auspicious"},{"name":"Amṛta","start":"04:13","end":"05:32","startHours":28.21056610437573,"endHours":29.52768946552073,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.52768946552073,"endHours":6.52768946552073,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.52768946552073,"endHours":7.52768946552073,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.52768946552073,"endHours":8.52768946552073,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.52768946552073,"endHours":9.52768946552073,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.52768946552073,"endHours":10.52768946552073,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.52768946552073,"endHours":11.52768946552073,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.52768946552073,"endHours":12.52768946552073,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.52768946552073,"endHours":13.52768946552073,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.52768946552073,"endHours":14.52768946552073,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.52768946552073,"endHours":15.52768946552073,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.52768946552073,"endHours":16.52768946552073,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.52768946552073,"endHours":17.52768946552073,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.52768946552073,"endHours":18.52768946552073,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.52768946552073,"endHours":19.52768946552073,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.52768946552073,"endHours":20.52768946552073,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.52768946552073,"endHours":21.52768946552073,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.52768946552073,"endHours":22.52768946552073,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.52768946552073,"endHours":23.52768946552073,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.52768946552073,"endHours":24.52768946552073,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.52768946552073,"endHours":25.52768946552073,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.52768946552073,"endHours":26.52768946552073,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.52768946552073,"endHours":27.52768946552073,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.52768946552073,"endHours":28.52768946552073,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.52768946552073,"endHours":29.52768946552073,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.395498220213874,"eotMinutes":3.7534387435564067,"ayanamsa":22.4193}},"calendars":{"vikram_samvat":1954,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1819,"saka_samvatsara":"Hemalambī","bengali_samvat":1304,"malayalam_era":1073,"nanakshahi_year":428,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Dvādaśī · Vikram 1954 Sādhāraṇa · Śaka 1819 Hemalambī"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"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":[]},"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 13, 1897 CE · Mathurā · Vidhyamitra","description":"May 13, 1897 CE for Mathurā: Śukla Dvādaśī, sūryodaya 05:32, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1897-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1897-05-13","sa":"https://sa.vidhyamitra.com/city/mathura/1897-05-13","hi":"https://hi.vidhyamitra.com/city/mathura/1897-05-13","x-default":"https://vidhyamitra.com/city/mathura/1897-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:25:16.853Z","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":"2026-05-14T17:25:16.853Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:25:16.853Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}