{"id":"vidhyamitra:city-day:mathura:2015-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-13","date_display":"December 13, 2015 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":2015,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457369.770833,"kali_year":5117,"ahargana":1868904.2708,"sun":{"sidereal_longitude":236.1677,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.2234,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.0557,"elapsed_within_tithi_degrees":7.0557},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.2234,"elapsed_within_degrees":1.89},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.391},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2015,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457369.770833,"ahargana":1868904.2708,"kali_year":5117,"ayanamsa_lahiri":24.0758,"grahas":{"sun":{"sidereal_longitude":236.61336099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":255.95476099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.4473},"mars":{"sidereal_longitude":173.50276099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.27836100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":147.360661,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":194.98736099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.690161,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.4579,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":336.4579,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara 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":2015,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457369.770833,"kali_year":5117,"ahargana":1868904.2708,"sun":{"sidereal_longitude":236.1677,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.2234,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.0557,"elapsed_within_tithi_degrees":7.0557},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.2234,"elapsed_within_degrees":1.89},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.391},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.447,"elongation":19.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.447,"opposition_distance":160.944}},"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":10.4285564373874,"dayLengthDisplay":"10 Hours 25 Mins 43 Secs","nightLengthDisplay":"13 Hours 34 Mins 17 Secs","moonriseLocal":"08:20","moonsetLocal":"18:43","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.147617826529974,"endHours":17.451187381203397,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540478717183124,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.844048271856547,"endHours":16.147617826529974,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.455960779206391,"endHours":9.803579327119305,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.45715412870714,"endHours":7.735248967037471,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889290614596783,"endHours":12.584527710422611,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.632156752164345,"endHours":6.327393847990171,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.153584574033715,"endHours":7.022630943815998,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.975001902074265,"endHours":14.670238997900091,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.251187381203398,"endHours":17.651187381203396,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.451187381203397,"endHours":17.885710566094538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.201187381203397,"endHours":18.951187381203397,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889290614596785,"endHours":24.58452771042261,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:01","end":"08:20","startHours":7.022630943815998,"endHours":8.326200498489424,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.326200498489424,"endHours":9.629770053162847,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.629770053162847,"endHours":10.933339607836274,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.933339607836274,"endHours":12.236909162509697,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540478717183124,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.540478717183124,"endHours":14.844048271856547,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.844048271856547,"endHours":16.147617826529974,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.147617826529974,"endHours":17.451187381203397,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.451187381203397,"endHours":19.147617826529974,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.147617826529974,"endHours":20.844048271856547,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.844048271856547,"endHours":22.54047871718312,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.54047871718312,"endHours":24.236909162509697,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.933339607836274,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.933339607836274,"endHours":27.629770053162847,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.629770053162847,"endHours":29.32620049848942,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:01","startHours":29.32620049848942,"endHours":31.022630943815997,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.022630943815998,"endHours":8.022630943815997,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.022630943815997,"endHours":9.022630943815997,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.022630943815997,"endHours":10.022630943815997,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.022630943815997,"endHours":11.022630943815997,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.022630943815997,"endHours":12.022630943815997,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.022630943815997,"endHours":13.022630943815997,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.022630943815997,"endHours":14.022630943815997,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.022630943815997,"endHours":15.022630943815997,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.022630943815997,"endHours":16.022630943815997,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.022630943815997,"endHours":17.022630943815997,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.022630943815997,"endHours":18.022630943815997,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.022630943815997,"endHours":19.022630943815997,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.022630943815997,"endHours":20.022630943815997,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.022630943815997,"endHours":21.022630943815997,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.022630943815997,"endHours":22.022630943815997,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.022630943815997,"endHours":23.022630943815997,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.022630943815997,"endHours":24.022630943815997,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.022630943815997,"endHours":25.022630943815997,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.022630943815997,"endHours":26.022630943815997,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.022630943815997,"endHours":27.022630943815997,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.022630943815997,"endHours":28.022630943815997,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.022630943815997,"endHours":29.022630943815997,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.022630943815997,"endHours":30.022630943815997,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.022630943815997,"endHours":31.022630943815997,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","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":-23.109672130504322,"eotMinutes":5.090650249418121,"ayanamsa":24.0758}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 13, 2015 CE · Mathurā · Vidhyamitra","description":"December 13, 2015 CE for Mathurā: Śukla Dvitīyā, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/2015-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/2015-12-13","x-default":"https://vidhyamitra.com/city/mathura/2015-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:58:47.143Z","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":"2026-05-14T16:58:47.143Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:58:47.143Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}