{"id":"vidhyamitra:city-day:mathura:2057-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2057-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-10-07","date_display":"October 7, 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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472643.770833,"kali_year":5159,"ahargana":1884178.2708,"sun":{"sidereal_longitude":168.7365,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":278.1614,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.4249,"elapsed_within_tithi_degrees":1.4249},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.1614,"elapsed_within_degrees":11.4947},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8979},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472643.770833,"ahargana":1884178.2708,"kali_year":5159,"ayanamsa_lahiri":24.6599,"grahas":{"sun":{"sidereal_longitude":169.62138200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":279.117082,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.3155},"mars":{"sidereal_longitude":197.84338200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":174.65338199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":313.3174819999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":148.74028199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":8.68558200000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.1679,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.1679,"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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472643.770833,"kali_year":5159,"ahargana":1884178.2708,"sun":{"sidereal_longitude":168.7365,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":278.1614,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.4249,"elapsed_within_tithi_degrees":1.4249},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.1614,"elapsed_within_degrees":11.4947},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8979},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.315,"elongation":109.425},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.315,"opposition_distance":70.575}},"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":"06:14","sunsetLocal":"17:58","solarNoonLocal":"12:06","dayLengthHours":11.733807869760835,"dayLengthDisplay":"11 Hours 44 Mins 02 Secs","nightLengthDisplay":"12 Hours 15 Mins 58 Secs","moonriseLocal":"14:04","moonsetLocal":"00:45","rahuKala":{"name":"Rāhu Kāla","start":"16:30","end":"17:58","startHours":16.505952114343316,"endHours":17.972678098063422,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:06","end":"13:34","startHours":12.105774163183003,"endHours":13.57250014690311,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:02","end":"16:30","startHours":15.039226130623213,"endHours":16.505952114343316,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.976758731246782,"endHours":9.367885660238809,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:02","startHours":6.727778889542622,"endHours":7.040680432736244,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.714647234190977,"endHours":12.496901092175033,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:27","startHours":4.674362512334476,"endHours":5.456616370318532,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:14","startHours":5.261052905822518,"endHours":6.238870228302587,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.061408808143144,"endHours":14.8436626661272,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.772678098063423,"endHours":18.17267809806342,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:28","startHours":17.972678098063422,"endHours":18.461586759303458,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.722678098063422,"endHours":19.472678098063422,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.71464723419098,"endHours":24.496901092175033,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:14","end":"07:42","startHours":6.238870228302587,"endHours":7.705596212022691,"quality":"inauspicious"},{"name":"Chala","start":"07:42","end":"09:10","startHours":7.705596212022691,"endHours":9.172322195742796,"quality":"neutral"},{"name":"Labha","start":"09:10","end":"10:38","startHours":9.172322195742796,"endHours":10.6390481794629,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:06","startHours":10.6390481794629,"endHours":12.105774163183003,"quality":"auspicious"},{"name":"Kāla","start":"12:06","end":"13:34","startHours":12.105774163183003,"endHours":13.57250014690311,"quality":"inauspicious"},{"name":"Śubha","start":"13:34","end":"15:02","startHours":13.57250014690311,"endHours":15.039226130623213,"quality":"auspicious"},{"name":"Roga","start":"15:02","end":"16:30","startHours":15.039226130623213,"endHours":16.505952114343316,"quality":"inauspicious"},{"name":"Udveg","start":"16:30","end":"17:58","startHours":16.505952114343316,"endHours":17.972678098063422,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:58","end":"19:30","startHours":17.972678098063422,"endHours":19.50595211434332,"quality":"auspicious"},{"name":"Roga","start":"19:30","end":"21:02","startHours":19.50595211434332,"endHours":21.039226130623213,"quality":"inauspicious"},{"name":"Udveg","start":"21:02","end":"22:34","startHours":21.039226130623213,"endHours":22.57250014690311,"quality":"inauspicious"},{"name":"Chala","start":"22:34","end":"00:06","startHours":22.57250014690311,"endHours":24.105774163183007,"quality":"neutral"},{"name":"Labha","start":"00:06","end":"01:38","startHours":24.105774163183007,"endHours":25.6390481794629,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:10","startHours":25.6390481794629,"endHours":27.172322195742797,"quality":"auspicious"},{"name":"Kāla","start":"03:10","end":"04:42","startHours":27.172322195742797,"endHours":28.70559621202269,"quality":"inauspicious"},{"name":"Śubha","start":"04:42","end":"06:14","startHours":28.70559621202269,"endHours":30.238870228302588,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.238870228302587,"endHours":7.238870228302587,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.238870228302587,"endHours":8.238870228302588,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.238870228302588,"endHours":9.238870228302588,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.238870228302588,"endHours":10.238870228302588,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.238870228302588,"endHours":11.238870228302588,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.238870228302588,"endHours":12.238870228302588,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.238870228302588,"endHours":13.238870228302588,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.238870228302588,"endHours":14.238870228302588,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.238870228302588,"endHours":15.238870228302588,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.238870228302588,"endHours":16.238870228302588,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.238870228302588,"endHours":17.238870228302588,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.238870228302588,"endHours":18.238870228302588,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.238870228302588,"endHours":19.238870228302588,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.238870228302588,"endHours":20.238870228302588,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.238870228302588,"endHours":21.238870228302588,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.238870228302588,"endHours":22.238870228302588,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.238870228302588,"endHours":23.238870228302588,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.238870228302588,"endHours":24.238870228302588,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.238870228302588,"endHours":25.238870228302588,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.238870228302588,"endHours":26.238870228302588,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.238870228302588,"endHours":27.238870228302588,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.238870228302588,"endHours":28.238870228302588,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.238870228302588,"endHours":29.238870228302588,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.238870228302588,"endHours":30.238870228302588,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","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":-5.630554101352709,"eotMinutes":12.958750209019716,"ayanamsa":24.6599}},"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 Daśamī · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"related_chart":"rama","sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 7, 2057 CE · Mathurā · Vidhyamitra","description":"October 7, 2057 CE for Mathurā: Śukla Daśamī, sūryodaya 06:14, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2057-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2057-10-07","sa":"https://sa.vidhyamitra.com/city/mathura/2057-10-07","hi":"https://hi.vidhyamitra.com/city/mathura/2057-10-07","x-default":"https://vidhyamitra.com/city/mathura/2057-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:59.092Z","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":"2026-05-14T16:02:59.092Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:59.092Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}