{"id":"vidhyamitra:city-day:mathura:2011-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2011-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-12-15","date_display":"December 15, 2011 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":2011,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455910.770833,"kali_year":5113,"ahargana":1867445.2708,"sun":{"sidereal_longitude":238.2546,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":112.0895,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.8349,"elapsed_within_tithi_degrees":5.8349},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.0895,"elapsed_within_degrees":5.4228},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.3441},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2011,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455910.770833,"ahargana":1867445.2708,"kali_year":5113,"ayanamsa_lahiri":24.02,"grahas":{"sun":{"sidereal_longitude":238.67310599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":110.91270599999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-3.8287},"mars":{"sidereal_longitude":140.722106,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":219.63380600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":6.400805999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":268.75370599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":182.73660599999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":233.7628,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.7628,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2011,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455910.770833,"kali_year":5113,"ahargana":1867445.2708,"sun":{"sidereal_longitude":238.2546,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":112.0895,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.8349,"elapsed_within_tithi_degrees":5.8349},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.0895,"elapsed_within_degrees":5.4228},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.3441},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.829,"elongation":126.165},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.829,"opposition_distance":53.835}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-1.467,"elongation":2.03}]},"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":"07:03","sunsetLocal":"17:28","solarNoonLocal":"12:15","dayLengthHours":10.41817834693196,"dayLengthDisplay":"10 Hours 25 Mins 05 Secs","nightLengthDisplay":"13 Hours 34 Mins 55 Secs","moonriseLocal":"21:06","moonsetLocal":"10:22","rahuKala":{"name":"Rāhu Kāla","start":"13:33","end":"14:51","startHours":13.554393376140293,"endHours":14.856665669506787,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:21","startHours":7.0430319093078175,"endHours":8.345304202674313,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:39","end":"10:57","startHours":9.647576496040807,"endHours":10.949848789407302,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.473940190258608,"endHours":9.821212801823007,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:45","startHours":7.477122673763316,"endHours":7.754940763014835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.904848471209398,"endHours":12.599393694338197,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.653941463050223,"endHours":6.348486686179021,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:03","startHours":6.174850380396821,"endHours":7.0430319093078175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.98848414059579,"endHours":14.683029363724588,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.261210256239778,"endHours":17.661210256239777,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.461210256239777,"endHours":17.895301020695275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.211210256239777,"endHours":18.961210256239777,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.904848471209398,"endHours":24.599393694338197,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:03","end":"08:21","startHours":7.0430319093078175,"endHours":8.345304202674313,"quality":"auspicious"},{"name":"Roga","start":"08:21","end":"09:39","startHours":8.345304202674313,"endHours":9.647576496040807,"quality":"inauspicious"},{"name":"Udveg","start":"09:39","end":"10:57","startHours":9.647576496040807,"endHours":10.949848789407302,"quality":"inauspicious"},{"name":"Chala","start":"10:57","end":"12:15","startHours":10.949848789407302,"endHours":12.252121082773797,"quality":"neutral"},{"name":"Labha","start":"12:15","end":"13:33","startHours":12.252121082773797,"endHours":13.554393376140293,"quality":"auspicious"},{"name":"Amṛta","start":"13:33","end":"14:51","startHours":13.554393376140293,"endHours":14.856665669506787,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:10","startHours":14.856665669506787,"endHours":16.15893796287328,"quality":"inauspicious"},{"name":"Śubha","start":"16:10","end":"17:28","startHours":16.15893796287328,"endHours":17.461210256239777,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:28","end":"19:10","startHours":17.461210256239777,"endHours":19.15893796287328,"quality":"auspicious"},{"name":"Kāla","start":"19:10","end":"20:51","startHours":19.15893796287328,"endHours":20.85666566950679,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:33","startHours":20.85666566950679,"endHours":22.554393376140293,"quality":"auspicious"},{"name":"Roga","start":"22:33","end":"00:15","startHours":22.554393376140293,"endHours":24.252121082773797,"quality":"inauspicious"},{"name":"Udveg","start":"00:15","end":"01:57","startHours":24.252121082773797,"endHours":25.9498487894073,"quality":"inauspicious"},{"name":"Chala","start":"01:57","end":"03:39","startHours":25.9498487894073,"endHours":27.647576496040806,"quality":"neutral"},{"name":"Labha","start":"03:39","end":"05:21","startHours":27.647576496040806,"endHours":29.345304202674313,"quality":"auspicious"},{"name":"Amṛta","start":"05:21","end":"07:03","startHours":29.345304202674313,"endHours":31.043031909307818,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.0430319093078175,"endHours":8.043031909307818,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.043031909307818,"endHours":9.043031909307818,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.043031909307818,"endHours":10.043031909307818,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.043031909307818,"endHours":11.043031909307818,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.043031909307818,"endHours":12.043031909307818,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.043031909307818,"endHours":13.043031909307818,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.043031909307818,"endHours":14.043031909307818,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.043031909307818,"endHours":15.043031909307818,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.043031909307818,"endHours":16.043031909307818,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.043031909307818,"endHours":17.043031909307818,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.043031909307818,"endHours":18.043031909307818,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.043031909307818,"endHours":19.043031909307818,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.043031909307818,"endHours":20.043031909307818,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.043031909307818,"endHours":21.043031909307818,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.043031909307818,"endHours":22.043031909307818,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.043031909307818,"endHours":23.043031909307818,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.043031909307818,"endHours":24.043031909307818,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.043031909307818,"endHours":25.043031909307818,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.043031909307818,"endHours":26.043031909307818,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.043031909307818,"endHours":27.043031909307818,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.043031909307818,"endHours":28.043031909307818,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.043031909307818,"endHours":29.043031909307818,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.043031909307818,"endHours":30.043031909307818,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.043031909307818,"endHours":31.043031909307818,"planetary_lord":"Moon"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-23.234952005704027,"eotMinutes":4.177935033572184,"ayanamsa":24.02}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pañcamī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"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":"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 December 15, 2011 CE · Mathurā · Vidhyamitra","description":"December 15, 2011 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:03, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2011-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2011-12-15","sa":"https://sa.vidhyamitra.com/city/mathura/2011-12-15","hi":"https://hi.vidhyamitra.com/city/mathura/2011-12-15","x-default":"https://vidhyamitra.com/city/mathura/2011-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:58:52.133Z","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":"2026-05-14T09:58:52.133Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:58:52.133Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}