{"id":"vidhyamitra:city-day:mathura:2016-12-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2016-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-12-09","date_display":"December 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457731.770833,"kali_year":5118,"ahargana":1869266.2708,"sun":{"sidereal_longitude":232.8282,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":347.4263,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.5981,"elapsed_within_tithi_degrees":6.5981},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":347.4263,"elapsed_within_degrees":0.7596},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.2545},"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":2016,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457731.770833,"ahargana":1869266.2708,"kali_year":5118,"ayanamsa_lahiri":24.0896,"grahas":{"sun":{"sidereal_longitude":233.30413,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":344.45903,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-2.2584},"mars":{"sidereal_longitude":297.8671300000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":253.72172999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":173.51233000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":277.3418300000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":234.40562999999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":137.2774,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.2774,"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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457731.770833,"kali_year":5118,"ahargana":1869266.2708,"sun":{"sidereal_longitude":232.8282,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":347.4263,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.5981,"elapsed_within_tithi_degrees":6.5981},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":347.4263,"elapsed_within_degrees":0.7596},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.2545},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.258,"elongation":114.598},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.258,"opposition_distance":65.402}},"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":"06:59","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.450898547598364,"dayLengthDisplay":"10 Hours 27 Mins 03 Secs","nightLengthDisplay":"13 Hours 32 Mins 57 Secs","moonriseLocal":"13:27","moonsetLocal":"01:47","rahuKala":{"name":"Rāhu Kāla","start":"10:54","end":"12:12","startHours":10.900943307413517,"endHours":12.207305625863313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:49","end":"16:08","startHours":14.820030262762902,"endHours":16.1263925812127,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:36","startHours":8.288218670513926,"endHours":9.59458098896372,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:46","startHours":9.420399346503748,"endHours":9.768762631423694,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:42","startHours":7.417310458214062,"endHours":7.6960010861500185,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.858942340943367,"endHours":12.55566891078326,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:17","startHours":5.588403212384349,"endHours":6.28512978222424,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.110948139764266,"endHours":6.98185635206413,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:39","startHours":13.949122050463039,"endHours":14.64584862030293,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.232754899662496,"endHours":17.632754899662494,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.432754899662495,"endHours":17.868209005812428,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.182754899662495,"endHours":18.932754899662495,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.85894234094337,"endHours":24.555668910783258,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:59","end":"08:17","startHours":6.98185635206413,"endHours":8.288218670513926,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:36","startHours":8.288218670513926,"endHours":9.59458098896372,"quality":"auspicious"},{"name":"Amṛta","start":"09:36","end":"10:54","startHours":9.59458098896372,"endHours":10.900943307413517,"quality":"auspicious"},{"name":"Kāla","start":"10:54","end":"12:12","startHours":10.900943307413517,"endHours":12.207305625863313,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:31","startHours":12.207305625863313,"endHours":13.513667944313108,"quality":"auspicious"},{"name":"Roga","start":"13:31","end":"14:49","startHours":13.513667944313108,"endHours":14.820030262762902,"quality":"inauspicious"},{"name":"Udveg","start":"14:49","end":"16:08","startHours":14.820030262762902,"endHours":16.1263925812127,"quality":"inauspicious"},{"name":"Chala","start":"16:08","end":"17:26","startHours":16.1263925812127,"endHours":17.432754899662495,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:26","end":"19:08","startHours":17.432754899662495,"endHours":19.1263925812127,"quality":"inauspicious"},{"name":"Udveg","start":"19:08","end":"20:49","startHours":19.1263925812127,"endHours":20.820030262762906,"quality":"inauspicious"},{"name":"Chala","start":"20:49","end":"22:31","startHours":20.820030262762906,"endHours":22.51366794431311,"quality":"neutral"},{"name":"Labha","start":"22:31","end":"00:12","startHours":22.51366794431311,"endHours":24.207305625863313,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:54","startHours":24.207305625863313,"endHours":25.900943307413517,"quality":"auspicious"},{"name":"Kāla","start":"01:54","end":"03:36","startHours":25.900943307413517,"endHours":27.59458098896372,"quality":"inauspicious"},{"name":"Śubha","start":"03:36","end":"05:17","startHours":27.59458098896372,"endHours":29.288218670513928,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:59","startHours":29.288218670513928,"endHours":30.98185635206413,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.98185635206413,"endHours":7.98185635206413,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.98185635206413,"endHours":8.981856352064131,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.981856352064131,"endHours":9.981856352064131,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.981856352064131,"endHours":10.981856352064131,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.981856352064131,"endHours":11.981856352064131,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.981856352064131,"endHours":12.981856352064131,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.981856352064131,"endHours":13.981856352064131,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.981856352064131,"endHours":14.981856352064131,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.981856352064131,"endHours":15.981856352064131,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.981856352064131,"endHours":16.98185635206413,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.98185635206413,"endHours":17.98185635206413,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.98185635206413,"endHours":18.98185635206413,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.98185635206413,"endHours":19.98185635206413,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.98185635206413,"endHours":20.98185635206413,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.98185635206413,"endHours":21.98185635206413,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.98185635206413,"endHours":22.98185635206413,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.98185635206413,"endHours":23.98185635206413,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.98185635206413,"endHours":24.98185635206413,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.98185635206413,"endHours":25.98185635206413,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.98185635206413,"endHours":26.98185635206413,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.98185635206413,"endHours":27.98185635206413,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.98185635206413,"endHours":28.98185635206413,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.98185635206413,"endHours":29.98185635206413,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.98185635206413,"endHours":30.98185635206413,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","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":-22.8390801805546,"eotMinutes":6.866862448201248,"ayanamsa":24.0896}},"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 Daśamī · 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":"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":[]},"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 9, 2016 CE · Mathurā · Vidhyamitra","description":"December 9, 2016 CE for Mathurā: Śukla Daśamī, sūryodaya 06:59, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2016-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2016-12-09","sa":"https://sa.vidhyamitra.com/city/mathura/2016-12-09","hi":"https://hi.vidhyamitra.com/city/mathura/2016-12-09","x-default":"https://vidhyamitra.com/city/mathura/2016-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:38:18.925Z","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":"2026-05-14T11:38:18.925Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:38:18.925Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}