{"id":"vidhyamitra:city-day:mathura:2017-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2017-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2017-10-13","date_display":"October 13, 2017 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":2017,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458039.770833,"kali_year":5119,"ahargana":1869574.2708,"sun":{"sidereal_longitude":175.0175,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":90.3559,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.3384,"elapsed_within_tithi_degrees":11.3384},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.3559,"elapsed_within_degrees":10.3559},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3733},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2017,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458039.770833,"ahargana":1869574.2708,"kali_year":5119,"ayanamsa_lahiri":24.1014,"grahas":{"sun":{"sidereal_longitude":175.797862,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":92.64066200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-2.2891},"mars":{"sidereal_longitude":149.47056199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":178.46116200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":186.14836200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":153.97606199999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":238.76916200000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":120.9581,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":300.9581,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2017,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458039.770833,"kali_year":5119,"ahargana":1869574.2708,"sun":{"sidereal_longitude":175.0175,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":90.3559,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.3384,"elapsed_within_tithi_degrees":11.3384},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.3559,"elapsed_within_degrees":10.3559},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3733},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.289,"elongation":84.662},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.289,"opposition_distance":95.338}},"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":11.58296627313073,"dayLengthDisplay":"11 Hours 34 Mins 59 Secs","nightLengthDisplay":"12 Hours 25 Mins 01 Secs","moonriseLocal":"23:44","moonsetLocal":"13:21","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:05","startHours":10.633175395724068,"endHours":12.08104617986541,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:59","end":"16:25","startHours":14.97678774814809,"endHours":16.424658532289435,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:44","end":"09:11","startHours":7.737433827441386,"endHours":9.185304611582726,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.992255173697215,"endHours":9.37835404946824,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.772186638013825,"endHours":7.081065738630645,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.694947304094386,"endHours":12.467145055636434,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.745167540215947,"endHours":5.517365291757996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:17","startHours":5.324315853872484,"endHours":6.289563043300045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.01154055872053,"endHours":14.783738310262578,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.672529316430776,"endHours":18.072529316430774,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.872529316430775,"endHours":18.355152911144554,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.622529316430775,"endHours":19.372529316430775,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.694947304094384,"endHours":24.467145055636436,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:17","end":"07:44","startHours":6.289563043300045,"endHours":7.737433827441386,"quality":"neutral"},{"name":"Labha","start":"07:44","end":"09:11","startHours":7.737433827441386,"endHours":9.185304611582726,"quality":"auspicious"},{"name":"Amṛta","start":"09:11","end":"10:38","startHours":9.185304611582726,"endHours":10.633175395724068,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:05","startHours":10.633175395724068,"endHours":12.08104617986541,"quality":"inauspicious"},{"name":"Śubha","start":"12:05","end":"13:32","startHours":12.08104617986541,"endHours":13.52891696400675,"quality":"auspicious"},{"name":"Roga","start":"13:32","end":"14:59","startHours":13.52891696400675,"endHours":14.97678774814809,"quality":"inauspicious"},{"name":"Udveg","start":"14:59","end":"16:25","startHours":14.97678774814809,"endHours":16.424658532289435,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:52","startHours":16.424658532289435,"endHours":17.872529316430775,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:52","end":"19:25","startHours":17.872529316430775,"endHours":19.424658532289435,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"20:59","startHours":19.424658532289435,"endHours":20.97678774814809,"quality":"inauspicious"},{"name":"Chala","start":"20:59","end":"22:32","startHours":20.97678774814809,"endHours":22.52891696400675,"quality":"neutral"},{"name":"Labha","start":"22:32","end":"00:05","startHours":22.52891696400675,"endHours":24.08104617986541,"quality":"auspicious"},{"name":"Amṛta","start":"00:05","end":"01:38","startHours":24.08104617986541,"endHours":25.63317539572407,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:11","startHours":25.63317539572407,"endHours":27.18530461158273,"quality":"inauspicious"},{"name":"Śubha","start":"03:11","end":"04:44","startHours":27.18530461158273,"endHours":28.737433827441386,"quality":"auspicious"},{"name":"Roga","start":"04:44","end":"06:17","startHours":28.737433827441386,"endHours":30.289563043300046,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.289563043300045,"endHours":7.289563043300045,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.289563043300045,"endHours":8.289563043300046,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.289563043300046,"endHours":9.289563043300046,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.289563043300046,"endHours":10.289563043300046,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.289563043300046,"endHours":11.289563043300046,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.289563043300046,"endHours":12.289563043300046,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.289563043300046,"endHours":13.289563043300046,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.289563043300046,"endHours":14.289563043300046,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.289563043300046,"endHours":15.289563043300046,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.289563043300046,"endHours":16.289563043300046,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.289563043300046,"endHours":17.289563043300046,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.289563043300046,"endHours":18.289563043300046,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.289563043300046,"endHours":19.289563043300046,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.289563043300046,"endHours":20.289563043300046,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.289563043300046,"endHours":21.289563043300046,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.289563043300046,"endHours":22.289563043300046,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.289563043300046,"endHours":23.289563043300046,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.289563043300046,"endHours":24.289563043300046,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.289563043300046,"endHours":25.289563043300046,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.289563043300046,"endHours":26.289563043300046,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.289563043300046,"endHours":27.289563043300046,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.289563043300046,"endHours":28.289563043300046,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.289563043300046,"endHours":29.289563043300046,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.289563043300046,"endHours":30.289563043300046,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"Sushira","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":-7.780315231933631,"eotMinutes":14.442429208075392,"ayanamsa":24.1014}},"calendars":{"vikram_samvat":2074,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1939,"saka_samvatsara":"Hemalambī","bengali_samvat":1424,"malayalam_era":1193,"nanakshahi_year":548,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram 2074 Sādhāraṇa · Śaka 1939 Hemalambī"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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, 2017 CE · Mathurā · Vidhyamitra","description":"October 13, 2017 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2017-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2017-10-13","sa":"https://sa.vidhyamitra.com/city/mathura/2017-10-13","hi":"https://hi.vidhyamitra.com/city/mathura/2017-10-13","x-default":"https://vidhyamitra.com/city/mathura/2017-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:33:34.513Z","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":"2026-05-14T09:33:34.513Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:33:34.513Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}