{"id":"vidhyamitra:city-day:mathura:2062-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2062-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2062-10-13","date_display":"October 13, 2062 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2062,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474475.770833,"kali_year":5164,"ahargana":1886010.2708,"sun":{"sidereal_longitude":174.3791,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":292.5575,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.1784,"elapsed_within_tithi_degrees":10.1784},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5575,"elapsed_within_degrees":12.5575},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.9366},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2062,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2474475.770833,"ahargana":1886010.2708,"kali_year":5164,"ayanamsa_lahiri":24.73,"grahas":{"sun":{"sidereal_longitude":175.26978600000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":293.622486,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-2.7403},"mars":{"sidereal_longitude":134.05778599999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":163.03068600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":127.20018600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":174.96238600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":80.24938600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":330.0997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":150.0997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2062,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474475.770833,"kali_year":5164,"ahargana":1886010.2708,"sun":{"sidereal_longitude":174.3791,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":292.5575,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.1784,"elapsed_within_tithi_degrees":10.1784},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5575,"elapsed_within_degrees":12.5575},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.9366},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.74,"elongation":118.178},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.74,"opposition_distance":61.822}},"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":"06:17","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.580292279720524,"dayLengthDisplay":"11 Hours 34 Mins 49 Secs","nightLengthDisplay":"12 Hours 25 Mins 11 Secs","moonriseLocal":"14:28","moonsetLocal":"01:28","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:05","startHours":10.633509644900347,"endHours":12.08104617986541,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:59","end":"16:25","startHours":14.976119249795541,"endHours":16.42365578476061,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:44","end":"09:11","startHours":7.738436574970215,"endHours":9.18597310993528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.992968238606604,"endHours":9.378977981263956,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.773412218326838,"endHours":7.082220012452718,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.69503643720806,"endHours":12.46705592252276,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.746861069375746,"endHours":5.518880554690448,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.325875683361772,"endHours":6.290900040005149,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.011094893152165,"endHours":14.783114378466868,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.671192319725673,"endHours":18.07119231972567,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.871192319725672,"endHours":18.35370449804736,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.621192319725672,"endHours":19.371192319725672,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.69503643720806,"endHours":24.46705592252276,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:17","end":"07:44","startHours":6.290900040005149,"endHours":7.738436574970215,"quality":"neutral"},{"name":"Labha","start":"07:44","end":"09:11","startHours":7.738436574970215,"endHours":9.18597310993528,"quality":"auspicious"},{"name":"Amṛta","start":"09:11","end":"10:38","startHours":9.18597310993528,"endHours":10.633509644900347,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:05","startHours":10.633509644900347,"endHours":12.08104617986541,"quality":"inauspicious"},{"name":"Śubha","start":"12:05","end":"13:32","startHours":12.08104617986541,"endHours":13.528582714830478,"quality":"auspicious"},{"name":"Roga","start":"13:32","end":"14:59","startHours":13.528582714830478,"endHours":14.976119249795541,"quality":"inauspicious"},{"name":"Udveg","start":"14:59","end":"16:25","startHours":14.976119249795541,"endHours":16.42365578476061,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:52","startHours":16.42365578476061,"endHours":17.871192319725672,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:52","end":"19:25","startHours":17.871192319725672,"endHours":19.423655784760605,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"20:59","startHours":19.423655784760605,"endHours":20.97611924979554,"quality":"inauspicious"},{"name":"Chala","start":"20:59","end":"22:32","startHours":20.97611924979554,"endHours":22.528582714830478,"quality":"neutral"},{"name":"Labha","start":"22:32","end":"00:05","startHours":22.528582714830478,"endHours":24.08104617986541,"quality":"auspicious"},{"name":"Amṛta","start":"00:05","end":"01:38","startHours":24.08104617986541,"endHours":25.633509644900343,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:11","startHours":25.633509644900343,"endHours":27.18597310993528,"quality":"inauspicious"},{"name":"Śubha","start":"03:11","end":"04:44","startHours":27.18597310993528,"endHours":28.738436574970216,"quality":"auspicious"},{"name":"Roga","start":"04:44","end":"06:17","startHours":28.738436574970216,"endHours":30.29090004000515,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.290900040005149,"endHours":7.290900040005149,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.290900040005149,"endHours":8.290900040005148,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.290900040005148,"endHours":9.290900040005148,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.290900040005148,"endHours":10.290900040005148,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.290900040005148,"endHours":11.290900040005148,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.290900040005148,"endHours":12.290900040005148,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.290900040005148,"endHours":13.290900040005148,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.290900040005148,"endHours":14.290900040005148,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.290900040005148,"endHours":15.290900040005148,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.290900040005148,"endHours":16.29090004000515,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.29090004000515,"endHours":17.29090004000515,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.29090004000515,"endHours":18.29090004000515,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.29090004000515,"endHours":19.29090004000515,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.29090004000515,"endHours":20.29090004000515,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.29090004000515,"endHours":21.29090004000515,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.29090004000515,"endHours":22.29090004000515,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.29090004000515,"endHours":23.29090004000515,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.29090004000515,"endHours":24.29090004000515,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.29090004000515,"endHours":25.29090004000515,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.29090004000515,"endHours":26.29090004000515,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.29090004000515,"endHours":27.29090004000515,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.29090004000515,"endHours":28.29090004000515,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.29090004000515,"endHours":29.29090004000515,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.29090004000515,"endHours":30.29090004000515,"planetary_lord":"Mars"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.818248630361031,"eotMinutes":14.442429208075392,"ayanamsa":24.73}},"calendars":{"vikram_samvat":2119,"vikram_samvatsara":"Manmatha","saka_samvat":1984,"saka_samvatsara":"Citrabhānu","bengali_samvat":1469,"malayalam_era":1238,"nanakshahi_year":593,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 2119 Manmatha · Śaka 1984 Citrabhānu"},"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,"sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]}],"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":"Dedicated festival walk for Vijaya Daśamī (Dasarā / Daśaharā) is not live yet; 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 13, 2062 CE · Mathurā · Vidhyamitra","description":"October 13, 2062 CE for Mathurā: Śukla Daśamī, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2062-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2062-10-13","sa":"https://sa.vidhyamitra.com/city/mathura/2062-10-13","hi":"https://hi.vidhyamitra.com/city/mathura/2062-10-13","x-default":"https://vidhyamitra.com/city/mathura/2062-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T03:04:19.181Z","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":"2026-09-12T03:04:19.181Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T03:04:19.181Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}