{"id":"vidhyamitra:city-day:mathura:2057-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2057-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-10-01","date_display":"October 1, 2057 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":2057,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472637.770833,"kali_year":5159,"ahargana":1884172.2708,"sun":{"sidereal_longitude":162.8281,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":192.0365,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.2083,"elapsed_within_tithi_degrees":5.2083},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.0365,"elapsed_within_degrees":5.3698},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.8646},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2057,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472637.770833,"ahargana":1884172.2708,"kali_year":5159,"ayanamsa_lahiri":24.6597,"grahas":{"sun":{"sidereal_longitude":163.714111,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":194.27061100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":3.7051},"mars":{"sidereal_longitude":193.722711,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":164.38731099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":313.8702109999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":141.31611099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":9.109310999999991,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.4858,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.4858,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2057,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472637.770833,"kali_year":5159,"ahargana":1884172.2708,"sun":{"sidereal_longitude":162.8281,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":192.0365,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.2083,"elapsed_within_tithi_degrees":5.2083},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.0365,"elapsed_within_degrees":5.3698},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.8646},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.705,"elongation":29.208},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.705,"opposition_distance":150.792}},"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":"06:11","sunsetLocal":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.894749142718217,"dayLengthDisplay":"11 Hours 53 Mins 41 Secs","nightLengthDisplay":"12 Hours 06 Mins 19 Secs","moonriseLocal":"08:39","moonsetLocal":"19:42","rahuKala":{"name":"Rāhu Kāla","start":"07:41","end":"09:10","startHours":7.675093001704261,"endHours":9.161936644544038,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:08","startHours":10.648780287383815,"endHours":12.135623930223591,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:37","end":"15:07","startHours":13.62246757306337,"endHours":15.109311215903146,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.963690825498734,"endHours":9.360182463589341,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.683863906477743,"endHours":7.001057216950229,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.739132292132986,"endHours":12.5321155683142,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:24","startHours":4.602282806502055,"endHours":5.3952660826832695,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.197020263637966,"endHours":6.188249358864484,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.118082120676629,"endHours":14.911065396857843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.8829985015827,"endHours":18.2829985015827,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.0829985015827,"endHours":18.57861304919596,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.8329985015827,"endHours":19.5829985015827,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.739132292132986,"endHours":24.532115568314204,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:11","end":"07:41","startHours":6.188249358864484,"endHours":7.675093001704261,"quality":"auspicious"},{"name":"Kāla","start":"07:41","end":"09:10","startHours":7.675093001704261,"endHours":9.161936644544038,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:39","startHours":9.161936644544038,"endHours":10.648780287383815,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:08","startHours":10.648780287383815,"endHours":12.135623930223591,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:37","startHours":12.135623930223591,"endHours":13.62246757306337,"quality":"inauspicious"},{"name":"Chala","start":"13:37","end":"15:07","startHours":13.62246757306337,"endHours":15.109311215903146,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:36","startHours":15.109311215903146,"endHours":16.596154858742924,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"18:05","startHours":16.596154858742924,"endHours":18.0829985015827,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:36","startHours":18.0829985015827,"endHours":19.596154858742924,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:07","startHours":19.596154858742924,"endHours":21.109311215903148,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:37","startHours":21.109311215903148,"endHours":22.622467573063368,"quality":"auspicious"},{"name":"Kāla","start":"22:37","end":"00:08","startHours":22.622467573063368,"endHours":24.13562393022359,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:39","startHours":24.13562393022359,"endHours":25.648780287383815,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:10","startHours":25.648780287383815,"endHours":27.16193664454404,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:41","startHours":27.16193664454404,"endHours":28.675093001704262,"quality":"inauspicious"},{"name":"Chala","start":"04:41","end":"06:11","startHours":28.675093001704262,"endHours":30.188249358864482,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.188249358864484,"endHours":7.188249358864484,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.188249358864484,"endHours":8.188249358864484,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.188249358864484,"endHours":9.188249358864484,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.188249358864484,"endHours":10.188249358864484,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.188249358864484,"endHours":11.188249358864484,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.188249358864484,"endHours":12.188249358864484,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.188249358864484,"endHours":13.188249358864484,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.188249358864484,"endHours":14.188249358864484,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.188249358864484,"endHours":15.188249358864484,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.188249358864484,"endHours":16.188249358864482,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.188249358864482,"endHours":17.188249358864482,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.188249358864482,"endHours":18.188249358864482,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.188249358864482,"endHours":19.188249358864482,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.188249358864482,"endHours":20.188249358864482,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.188249358864482,"endHours":21.188249358864482,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.188249358864482,"endHours":22.188249358864482,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.188249358864482,"endHours":23.188249358864482,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.188249358864482,"endHours":24.188249358864482,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.188249358864482,"endHours":25.188249358864482,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.188249358864482,"endHours":26.188249358864482,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.188249358864482,"endHours":27.188249358864482,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.188249358864482,"endHours":28.188249358864482,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.188249358864482,"endHours":29.188249358864482,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.188249358864482,"endHours":30.188249358864482,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.320550903878778,"eotMinutes":11.167764186584405,"ayanamsa":24.6597}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 October 1, 2057 CE · Mathurā · Vidhyamitra","description":"October 1, 2057 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2057-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2057-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/2057-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/2057-10-01","x-default":"https://vidhyamitra.com/city/mathura/2057-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:38:08.079Z","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":"2026-05-14T20:38:08.079Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:38:08.079Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}