{"id":"vidhyamitra:city-day:mathura:2016-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2016-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-12-13","date_display":"December 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":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457735.770833,"kali_year":5118,"ahargana":1869270.2708,"sun":{"sidereal_longitude":236.9277,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":44.602,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.6743,"elapsed_within_tithi_degrees":11.6743},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.602,"elapsed_within_degrees":4.602},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.5297},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457735.770833,"ahargana":1869270.2708,"kali_year":5118,"ayanamsa_lahiri":24.0898,"grahas":{"sun":{"sidereal_longitude":237.36947699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":43.636077,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4958},"mars":{"sidereal_longitude":300.8780770000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.8460769999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":174.119277,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":281.94927699999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":234.87857699999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":137.0655,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.0655,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":"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":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457735.770833,"kali_year":5118,"ahargana":1869270.2708,"sun":{"sidereal_longitude":236.9277,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":44.602,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.6743,"elapsed_within_tithi_degrees":11.6743},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.602,"elapsed_within_degrees":4.602},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.5297},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":167.674},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":12.326}},"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":"07:01","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.424277951938222,"dayLengthDisplay":"10 Hours 25 Mins 27 Secs","nightLengthDisplay":"13 Hours 34 Mins 33 Secs","moonriseLocal":"16:29","moonsetLocal":"06:10","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:09","startHours":14.842978650494253,"endHours":16.14601339448653,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:38","end":"10:56","startHours":9.630839674525141,"endHours":10.93387441851742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.539943906501975,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.457101708659504,"endHours":9.804577640390779,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.459115101204679,"endHours":7.737095846589698,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889433230778423,"endHours":12.584385094240972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.63486645961549,"endHours":6.3298183230780385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.156080357212401,"endHours":7.024770186540587,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974288821166068,"endHours":14.669240684628615,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24904813847881,"endHours":17.649048138478808,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.44904813847881,"endHours":17.8833930531429,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19904813847881,"endHours":18.94904813847881,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889433230778423,"endHours":24.58438509424097,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:20","startHours":7.024770186540587,"endHours":8.327804930532864,"quality":"inauspicious"},{"name":"Udveg","start":"08:20","end":"09:38","startHours":8.327804930532864,"endHours":9.630839674525141,"quality":"inauspicious"},{"name":"Chala","start":"09:38","end":"10:56","startHours":9.630839674525141,"endHours":10.93387441851742,"quality":"neutral"},{"name":"Labha","start":"10:56","end":"12:14","startHours":10.93387441851742,"endHours":12.236909162509697,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.539943906501975,"quality":"auspicious"},{"name":"Kāla","start":"13:32","end":"14:51","startHours":13.539943906501975,"endHours":14.842978650494253,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:09","startHours":14.842978650494253,"endHours":16.14601339448653,"quality":"auspicious"},{"name":"Roga","start":"16:09","end":"17:27","startHours":16.14601339448653,"endHours":17.44904813847881,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:09","startHours":17.44904813847881,"endHours":19.14601339448653,"quality":"inauspicious"},{"name":"Śubha","start":"19:09","end":"20:51","startHours":19.14601339448653,"endHours":20.842978650494253,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:32","startHours":20.842978650494253,"endHours":22.539943906501975,"quality":"inauspicious"},{"name":"Udveg","start":"22:32","end":"00:14","startHours":22.539943906501975,"endHours":24.236909162509697,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.93387441851742,"quality":"neutral"},{"name":"Labha","start":"01:56","end":"03:38","startHours":25.93387441851742,"endHours":27.63083967452514,"quality":"auspicious"},{"name":"Amṛta","start":"03:38","end":"05:20","startHours":27.63083967452514,"endHours":29.327804930532864,"quality":"auspicious"},{"name":"Kāla","start":"05:20","end":"07:01","startHours":29.327804930532864,"endHours":31.024770186540586,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.024770186540587,"endHours":8.024770186540586,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.024770186540586,"endHours":9.024770186540586,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.024770186540586,"endHours":10.024770186540586,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.024770186540586,"endHours":11.024770186540586,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.024770186540586,"endHours":12.024770186540586,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.024770186540586,"endHours":13.024770186540586,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.024770186540586,"endHours":14.024770186540586,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.024770186540586,"endHours":15.024770186540586,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.024770186540586,"endHours":16.024770186540586,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.024770186540586,"endHours":17.024770186540586,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.024770186540586,"endHours":18.024770186540586,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.024770186540586,"endHours":19.024770186540586,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.024770186540586,"endHours":20.024770186540586,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.024770186540586,"endHours":21.024770186540586,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.024770186540586,"endHours":22.024770186540586,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.024770186540586,"endHours":23.024770186540586,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.024770186540586,"endHours":24.024770186540586,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.024770186540586,"endHours":25.024770186540586,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.024770186540586,"endHours":26.024770186540586,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.024770186540586,"endHours":27.024770186540586,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.024770186540586,"endHours":28.024770186540586,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.024770186540586,"endHours":29.024770186540586,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.024770186540586,"endHours":30.024770186540586,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.024770186540586,"endHours":31.024770186540586,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.16135193092956,"eotMinutes":5.090650249418121,"ayanamsa":24.0898}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 Rohiṇī","url":"/day/-3226-07-09","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 December 13, 2016 CE · Mathurā · Vidhyamitra","description":"December 13, 2016 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2016-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2016-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/2016-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/2016-12-13","x-default":"https://vidhyamitra.com/city/mathura/2016-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:45:08.811Z","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":"2026-05-14T14:45:08.811Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:45:08.811Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}