{"id":"vidhyamitra:city-day:mathura:2063-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2063-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2063-10-13","date_display":"October 13, 2063 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":2063,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474840.770833,"kali_year":5165,"ahargana":1886375.2708,"sun":{"sidereal_longitude":174.1228,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":60.6142,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4914,"elapsed_within_tithi_degrees":6.4914},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.6142,"elapsed_within_degrees":7.2808},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.7369},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2063,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2474840.770833,"ahargana":1886375.2708,"kali_year":5165,"ayanamsa_lahiri":24.744,"grahas":{"sun":{"sidereal_longitude":175.01554099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":59.090441,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":4.232},"mars":{"sidereal_longitude":251.00764100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":176.15734099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":151.738341,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":127.820941,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":93.75604099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":310.7603,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.7603,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2063,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474840.770833,"kali_year":5165,"ahargana":1886375.2708,"sun":{"sidereal_longitude":174.1228,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":60.6142,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4914,"elapsed_within_tithi_degrees":6.4914},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.6142,"elapsed_within_degrees":7.2808},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.7369},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.232,"elongation":113.509},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.232,"opposition_distance":66.491}},"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":11.586684549514388,"dayLengthDisplay":"11 Hours 35 Mins 12 Secs","nightLengthDisplay":"12 Hours 24 Mins 48 Secs","moonriseLocal":"21:26","moonsetLocal":"11:16","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:38","startHours":9.184375042486813,"endHours":10.632710611176112,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"14:59","startHours":13.529381748554709,"endHours":14.977717317244007,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:17","end":"07:44","startHours":6.2877039051082155,"endHours":7.736039473797514,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:23","startHours":8.99126363332824,"endHours":9.377486451645385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.770482428004648,"endHours":7.0794606826583655,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.694823361548265,"endHours":12.467268998182556,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.74281263183963,"endHours":5.515258268473923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:17","startHours":5.32214685931535,"endHours":6.2877039051082155,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.01216027145114,"endHours":14.784605908085434,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.674388454622605,"endHours":18.074388454622603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.874388454622604,"endHours":18.357166977519036,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.624388454622604,"endHours":19.374388454622604,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.694823361548263,"endHours":24.467268998182558,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:17","end":"07:44","startHours":6.2877039051082155,"endHours":7.736039473797514,"quality":"inauspicious"},{"name":"Śubha","start":"07:44","end":"09:11","startHours":7.736039473797514,"endHours":9.184375042486813,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:38","startHours":9.184375042486813,"endHours":10.632710611176112,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:05","startHours":10.632710611176112,"endHours":12.08104617986541,"quality":"inauspicious"},{"name":"Chala","start":"12:05","end":"13:32","startHours":12.08104617986541,"endHours":13.529381748554709,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"14:59","startHours":13.529381748554709,"endHours":14.977717317244007,"quality":"auspicious"},{"name":"Amṛta","start":"14:59","end":"16:26","startHours":14.977717317244007,"endHours":16.426052885933306,"quality":"auspicious"},{"name":"Kāla","start":"16:26","end":"17:52","startHours":16.426052885933306,"endHours":17.874388454622604,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:52","end":"19:26","startHours":17.874388454622604,"endHours":19.426052885933306,"quality":"auspicious"},{"name":"Amṛta","start":"19:26","end":"20:59","startHours":19.426052885933306,"endHours":20.977717317244007,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:32","startHours":20.977717317244007,"endHours":22.52938174855471,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:05","startHours":22.52938174855471,"endHours":24.08104617986541,"quality":"auspicious"},{"name":"Roga","start":"00:05","end":"01:38","startHours":24.08104617986541,"endHours":25.632710611176112,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:11","startHours":25.632710611176112,"endHours":27.184375042486813,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:44","startHours":27.184375042486813,"endHours":28.736039473797515,"quality":"neutral"},{"name":"Labha","start":"04:44","end":"06:17","startHours":28.736039473797515,"endHours":30.287703905108216,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.2877039051082155,"endHours":7.2877039051082155,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.2877039051082155,"endHours":8.287703905108216,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.287703905108216,"endHours":9.287703905108216,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.287703905108216,"endHours":10.287703905108216,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.287703905108216,"endHours":11.287703905108216,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.287703905108216,"endHours":12.287703905108216,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.287703905108216,"endHours":13.287703905108216,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.287703905108216,"endHours":14.287703905108216,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.287703905108216,"endHours":15.287703905108216,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.287703905108216,"endHours":16.287703905108216,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.287703905108216,"endHours":17.287703905108216,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.287703905108216,"endHours":18.287703905108216,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.287703905108216,"endHours":19.287703905108216,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.287703905108216,"endHours":20.287703905108216,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.287703905108216,"endHours":21.287703905108216,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.287703905108216,"endHours":22.287703905108216,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.287703905108216,"endHours":23.287703905108216,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.287703905108216,"endHours":24.287703905108216,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.287703905108216,"endHours":25.287703905108216,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.287703905108216,"endHours":26.287703905108216,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.287703905108216,"endHours":27.287703905108216,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.287703905108216,"endHours":28.287703905108216,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.287703905108216,"endHours":29.287703905108216,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.287703905108216,"endHours":30.287703905108216,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","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":-7.727556286867283,"eotMinutes":14.442429208075392,"ayanamsa":24.744}},"calendars":{"vikram_samvat":2120,"vikram_samvatsara":"Durmukhi","saka_samvat":1985,"saka_samvatsara":"Subhānu","bengali_samvat":1470,"malayalam_era":1239,"nanakshahi_year":594,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram 2120 Durmukhi · Śaka 1985 Subhānu"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2063 CE · Mathurā · Vidhyamitra","description":"October 13, 2063 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2063-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2063-10-13","sa":"https://sa.vidhyamitra.com/city/mathura/2063-10-13","hi":"https://hi.vidhyamitra.com/city/mathura/2063-10-13","x-default":"https://vidhyamitra.com/city/mathura/2063-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-27T21:03:19.975Z","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":"2026-08-27T21:03:19.975Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-27T21:03:19.975Z","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"}}}