{"id":"vidhyamitra:city-day:mathura:2021-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2021-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-01","date_display":"October 1, 2021 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":2021,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459488.770833,"kali_year":5123,"ahargana":1871023.2708,"sun":{"sidereal_longitude":163.1379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":96.8987,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7608,"elapsed_within_tithi_degrees":5.7608},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":96.8987,"elapsed_within_degrees":3.5653},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.0366},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2021,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459488.770833,"ahargana":1871023.2708,"kali_year":5123,"ayanamsa_lahiri":24.1568,"grahas":{"sun":{"sidereal_longitude":163.9361,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":95.82499999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.579},"mars":{"sidereal_longitude":165.93539999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":180.4266,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":298.6364,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":208.48990000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.83989999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.1831,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.1831,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459488.770833,"kali_year":5123,"ahargana":1871023.2708,"sun":{"sidereal_longitude":163.1379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":96.8987,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7608,"elapsed_within_tithi_degrees":5.7608},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":96.8987,"elapsed_within_degrees":3.5653},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.0366},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.579,"elongation":66.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.579,"opposition_distance":113.761}},"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":11.902445942137508,"dayLengthDisplay":"11 Hours 54 Mins 09 Secs","nightLengthDisplay":"12 Hours 05 Mins 51 Secs","moonriseLocal":"00:49","moonsetLocal":"14:23","rahuKala":{"name":"Rāhu Kāla","start":"10:39","end":"12:08","startHours":10.647818187456405,"endHours":12.135623930223595,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:07","end":"16:36","startHours":15.111235415757971,"endHours":16.59904115852516,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:40","end":"09:10","startHours":7.672206701922029,"endHours":9.160012444689217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.961638345653592,"endHours":9.358386543724842,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.6803362067439025,"endHours":6.997734765200903,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.738875732152342,"endHours":12.532372128294844,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:23","startHours":4.5974081668698386,"endHours":5.39090456301234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.1925304639767145,"endHours":6.18440095915484,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.119364920579844,"endHours":14.912861316722346,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.886846901292348,"endHours":18.286846901292346,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.086846901292347,"endHours":18.58278214888141,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.836846901292347,"endHours":19.586846901292347,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.738875732152344,"endHours":24.532372128294845,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:11","end":"07:40","startHours":6.18440095915484,"endHours":7.672206701922029,"quality":"neutral"},{"name":"Labha","start":"07:40","end":"09:10","startHours":7.672206701922029,"endHours":9.160012444689217,"quality":"auspicious"},{"name":"Amṛta","start":"09:10","end":"10:39","startHours":9.160012444689217,"endHours":10.647818187456405,"quality":"auspicious"},{"name":"Kāla","start":"10:39","end":"12:08","startHours":10.647818187456405,"endHours":12.135623930223595,"quality":"inauspicious"},{"name":"Śubha","start":"12:08","end":"13:37","startHours":12.135623930223595,"endHours":13.623429672990781,"quality":"auspicious"},{"name":"Roga","start":"13:37","end":"15:07","startHours":13.623429672990781,"endHours":15.111235415757971,"quality":"inauspicious"},{"name":"Udveg","start":"15:07","end":"16:36","startHours":15.111235415757971,"endHours":16.59904115852516,"quality":"inauspicious"},{"name":"Chala","start":"16:36","end":"18:05","startHours":16.59904115852516,"endHours":18.086846901292347,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:05","end":"19:36","startHours":18.086846901292347,"endHours":19.599041158525157,"quality":"inauspicious"},{"name":"Udveg","start":"19:36","end":"21:07","startHours":19.599041158525157,"endHours":21.11123541575797,"quality":"inauspicious"},{"name":"Chala","start":"21:07","end":"22:37","startHours":21.11123541575797,"endHours":22.62342967299078,"quality":"neutral"},{"name":"Labha","start":"22:37","end":"00:08","startHours":22.62342967299078,"endHours":24.135623930223595,"quality":"auspicious"},{"name":"Amṛta","start":"00:08","end":"01:39","startHours":24.135623930223595,"endHours":25.647818187456405,"quality":"auspicious"},{"name":"Kāla","start":"01:39","end":"03:10","startHours":25.647818187456405,"endHours":27.160012444689215,"quality":"inauspicious"},{"name":"Śubha","start":"03:10","end":"04:40","startHours":27.160012444689215,"endHours":28.67220670192203,"quality":"auspicious"},{"name":"Roga","start":"04:40","end":"06:11","startHours":28.67220670192203,"endHours":30.18440095915484,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.18440095915484,"endHours":7.18440095915484,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.18440095915484,"endHours":8.18440095915484,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.18440095915484,"endHours":9.18440095915484,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.18440095915484,"endHours":10.18440095915484,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.18440095915484,"endHours":11.18440095915484,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.18440095915484,"endHours":12.18440095915484,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.18440095915484,"endHours":13.18440095915484,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.18440095915484,"endHours":14.18440095915484,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.18440095915484,"endHours":15.18440095915484,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.18440095915484,"endHours":16.18440095915484,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.18440095915484,"endHours":17.18440095915484,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.18440095915484,"endHours":18.18440095915484,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.18440095915484,"endHours":19.18440095915484,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.18440095915484,"endHours":20.18440095915484,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.18440095915484,"endHours":21.18440095915484,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.18440095915484,"endHours":22.18440095915484,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.18440095915484,"endHours":23.18440095915484,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.18440095915484,"endHours":24.18440095915484,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.18440095915484,"endHours":25.18440095915484,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.18440095915484,"endHours":26.18440095915484,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.18440095915484,"endHours":27.18440095915484,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.18440095915484,"endHours":28.18440095915484,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.18440095915484,"endHours":29.18440095915484,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.18440095915484,"endHours":30.18440095915484,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","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":-3.209795347108107,"eotMinutes":11.167764186584405,"ayanamsa":24.1568}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Daśamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 2021 CE · Mathurā · Vidhyamitra","description":"October 1, 2021 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2021-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2021-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/2021-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/2021-10-01","x-default":"https://vidhyamitra.com/city/mathura/2021-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:28:32.204Z","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":"2026-05-14T18:28:32.204Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:28:32.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}