{"id":"vidhyamitra:city-day:mathura:2016-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2016-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-10-13","date_display":"October 13, 2016 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":2016,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457674.770833,"kali_year":5118,"ahargana":1869209.2708,"sun":{"sidereal_longitude":175.274,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":313.9054,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.6314,"elapsed_within_tithi_degrees":6.6314},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.9054,"elapsed_within_degrees":7.2387},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.1794},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2016,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457674.770833,"ahargana":1869209.2708,"kali_year":5118,"ayanamsa_lahiri":24.0874,"grahas":{"sun":{"sidereal_longitude":176.05190800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":313.00700800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":0.5005},"mars":{"sidereal_longitude":256.307408,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":165.36120800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":162.58160799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":209.32990799999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":228.29540799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":140.2976,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.2976,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":2016,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457674.770833,"kali_year":5118,"ahargana":1869209.2708,"sun":{"sidereal_longitude":175.274,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":313.9054,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.6314,"elapsed_within_tithi_degrees":6.6314},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.9054,"elapsed_within_degrees":7.2387},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.1794},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.5,"elongation":138.631},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.5,"opposition_distance":41.369}},"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":"06:18","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.576582547169401,"dayLengthDisplay":"11 Hours 34 Mins 36 Secs","nightLengthDisplay":"12 Hours 25 Mins 24 Secs","moonriseLocal":"15:29","moonsetLocal":"02:57","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:59","startHours":13.528118998261585,"endHours":14.975191816657759,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:18","end":"07:44","startHours":6.292754906280709,"endHours":7.739827724676884,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:11","end":"10:38","startHours":9.186900543073058,"endHours":10.633973361469234,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.993957500620237,"endHours":9.379843585525883,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.775112512412767,"endHours":7.083821380337285,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.695160094959764,"endHours":12.466932264771057,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.749210566658122,"endHours":5.520982736469415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:18","startHours":5.328039694016592,"endHours":6.292754906280709,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.010476604393643,"endHours":14.782248774204938,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.66933745345011,"endHours":18.06933745345011,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.86933745345011,"endHours":18.35169505958217,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.61933745345011,"endHours":19.36933745345011,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.695160094959764,"endHours":24.466932264771057,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:18","end":"07:44","startHours":6.292754906280709,"endHours":7.739827724676884,"quality":"auspicious"},{"name":"Roga","start":"07:44","end":"09:11","startHours":7.739827724676884,"endHours":9.186900543073058,"quality":"inauspicious"},{"name":"Udveg","start":"09:11","end":"10:38","startHours":9.186900543073058,"endHours":10.633973361469234,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:05","startHours":10.633973361469234,"endHours":12.08104617986541,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:32","startHours":12.08104617986541,"endHours":13.528118998261585,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:59","startHours":13.528118998261585,"endHours":14.975191816657759,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:25","startHours":14.975191816657759,"endHours":16.422264635053935,"quality":"inauspicious"},{"name":"Śubha","start":"16:25","end":"17:52","startHours":16.422264635053935,"endHours":17.86933745345011,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:52","end":"19:25","startHours":17.86933745345011,"endHours":19.422264635053935,"quality":"auspicious"},{"name":"Kāla","start":"19:25","end":"20:59","startHours":19.422264635053935,"endHours":20.975191816657762,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:32","startHours":20.975191816657762,"endHours":22.528118998261586,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:05","startHours":22.528118998261586,"endHours":24.08104617986541,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:38","startHours":24.08104617986541,"endHours":25.633973361469234,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:11","startHours":25.633973361469234,"endHours":27.186900543073058,"quality":"neutral"},{"name":"Labha","start":"03:11","end":"04:44","startHours":27.186900543073058,"endHours":28.739827724676886,"quality":"auspicious"},{"name":"Amṛta","start":"04:44","end":"06:18","startHours":28.739827724676886,"endHours":30.29275490628071,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.292754906280709,"endHours":7.292754906280709,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.292754906280709,"endHours":8.29275490628071,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.29275490628071,"endHours":9.29275490628071,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.29275490628071,"endHours":10.29275490628071,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.29275490628071,"endHours":11.29275490628071,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.29275490628071,"endHours":12.29275490628071,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.29275490628071,"endHours":13.29275490628071,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.29275490628071,"endHours":14.29275490628071,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.29275490628071,"endHours":15.29275490628071,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.29275490628071,"endHours":16.29275490628071,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.29275490628071,"endHours":17.29275490628071,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.29275490628071,"endHours":18.29275490628071,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.29275490628071,"endHours":19.29275490628071,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.29275490628071,"endHours":20.29275490628071,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.29275490628071,"endHours":21.29275490628071,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.29275490628071,"endHours":22.29275490628071,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.29275490628071,"endHours":23.29275490628071,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.29275490628071,"endHours":24.29275490628071,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.29275490628071,"endHours":25.29275490628071,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.29275490628071,"endHours":26.29275490628071,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.29275490628071,"endHours":27.29275490628071,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.29275490628071,"endHours":28.29275490628071,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.29275490628071,"endHours":29.29275490628071,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.29275490628071,"endHours":30.29275490628071,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","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":-7.870863740745497,"eotMinutes":14.442429208075392,"ayanamsa":24.0874}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2016 CE · Mathurā · Vidhyamitra","description":"October 13, 2016 CE for Mathurā: Śukla Dvādaśī, sūryodaya 06:18, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2016-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2016-10-13","sa":"https://sa.vidhyamitra.com/city/mathura/2016-10-13","hi":"https://hi.vidhyamitra.com/city/mathura/2016-10-13","x-default":"https://vidhyamitra.com/city/mathura/2016-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:26:49.549Z","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":"2026-05-14T16:26:49.549Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:26:49.549Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}