{"id":"vidhyamitra:city-day:mathura:2011-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2011-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-12-14","date_display":"December 14, 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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455909.770833,"kali_year":5113,"ahargana":1867444.2708,"sun":{"sidereal_longitude":237.2289,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":98.6525,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.4236,"elapsed_within_tithi_degrees":5.4236},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.6525,"elapsed_within_degrees":5.3192},"yoga":{"number":26,"name":"Indra","sum_longitude":335.8815},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455909.770833,"ahargana":1867444.2708,"kali_year":5113,"ayanamsa_lahiri":24.0199,"grahas":{"sun":{"sidereal_longitude":237.65604400000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":97.70264399999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-3.1713},"mars":{"sidereal_longitude":140.357844,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":219.563444,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":6.44064400000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":267.517744,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":182.650444,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":233.8158,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.8158,"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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455909.770833,"kali_year":5113,"ahargana":1867444.2708,"sun":{"sidereal_longitude":237.2289,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":98.6525,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.4236,"elapsed_within_tithi_degrees":5.4236},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.6525,"elapsed_within_degrees":5.3192},"yoga":{"number":26,"name":"Indra","sum_longitude":335.8815},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.171,"elongation":138.576},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.171,"opposition_distance":41.424}},"eclipse_window_40days":[{"offset_days":-19,"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":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:15","dayLengthHours":10.42313936497799,"dayLengthDisplay":"10 Hours 25 Mins 23 Secs","nightLengthDisplay":"13 Hours 34 Mins 37 Secs","moonriseLocal":"20:09","moonsetLocal":"09:41","rahuKala":{"name":"Rāhu Kāla","start":"12:15","end":"13:33","startHours":12.244486837099476,"endHours":13.547379257721726,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:20","end":"09:38","startHours":8.33580957523273,"endHours":9.63870199585498,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:15","startHours":10.941594416477228,"endHours":12.244486837099476,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.464983006438679,"endHours":9.81242098527128,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.467214628151232,"endHours":7.745165011217312,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.897048858266876,"endHours":12.591924815932076,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:20","startHours":5.6431652392800835,"endHours":6.338041196945283,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.164322207528983,"endHours":7.032917154610482,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.981676731262475,"endHours":14.676552688927675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.256056519588473,"endHours":17.65605651958847,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.456056519588472,"endHours":17.89035399312922,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.206056519588472,"endHours":18.956056519588472,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.897048858266878,"endHours":24.591924815932074,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:02","end":"08:20","startHours":7.032917154610482,"endHours":8.33580957523273,"quality":"auspicious"},{"name":"Amṛta","start":"08:20","end":"09:38","startHours":8.33580957523273,"endHours":9.63870199585498,"quality":"auspicious"},{"name":"Kāla","start":"09:38","end":"10:56","startHours":9.63870199585498,"endHours":10.941594416477228,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:15","startHours":10.941594416477228,"endHours":12.244486837099476,"quality":"auspicious"},{"name":"Roga","start":"12:15","end":"13:33","startHours":12.244486837099476,"endHours":13.547379257721726,"quality":"inauspicious"},{"name":"Udveg","start":"13:33","end":"14:51","startHours":13.547379257721726,"endHours":14.850271678343974,"quality":"inauspicious"},{"name":"Chala","start":"14:51","end":"16:09","startHours":14.850271678343974,"endHours":16.153164098966222,"quality":"neutral"},{"name":"Labha","start":"16:09","end":"17:27","startHours":16.153164098966222,"endHours":17.456056519588472,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:27","end":"19:09","startHours":17.456056519588472,"endHours":19.153164098966222,"quality":"inauspicious"},{"name":"Chala","start":"19:09","end":"20:51","startHours":19.153164098966222,"endHours":20.850271678343976,"quality":"neutral"},{"name":"Labha","start":"20:51","end":"22:33","startHours":20.850271678343976,"endHours":22.547379257721726,"quality":"auspicious"},{"name":"Amṛta","start":"22:33","end":"00:15","startHours":22.547379257721726,"endHours":24.244486837099476,"quality":"auspicious"},{"name":"Kāla","start":"00:15","end":"01:56","startHours":24.244486837099476,"endHours":25.94159441647723,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:38","startHours":25.94159441647723,"endHours":27.63870199585498,"quality":"auspicious"},{"name":"Roga","start":"03:38","end":"05:20","startHours":27.63870199585498,"endHours":29.33580957523273,"quality":"inauspicious"},{"name":"Udveg","start":"05:20","end":"07:02","startHours":29.33580957523273,"endHours":31.03291715461048,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.032917154610482,"endHours":8.032917154610482,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.032917154610482,"endHours":9.032917154610482,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.032917154610482,"endHours":10.032917154610482,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.032917154610482,"endHours":11.032917154610482,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.032917154610482,"endHours":12.032917154610482,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.032917154610482,"endHours":13.032917154610482,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.032917154610482,"endHours":14.032917154610482,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.032917154610482,"endHours":15.032917154610482,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.032917154610482,"endHours":16.03291715461048,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.03291715461048,"endHours":17.03291715461048,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.03291715461048,"endHours":18.03291715461048,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.03291715461048,"endHours":19.03291715461048,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.03291715461048,"endHours":20.03291715461048,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.03291715461048,"endHours":21.03291715461048,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.03291715461048,"endHours":22.03291715461048,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.03291715461048,"endHours":23.03291715461048,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.03291715461048,"endHours":24.03291715461048,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.03291715461048,"endHours":25.03291715461048,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.03291715461048,"endHours":26.03291715461048,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.03291715461048,"endHours":27.03291715461048,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.03291715461048,"endHours":28.03291715461048,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.03291715461048,"endHours":29.03291715461048,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.03291715461048,"endHours":30.03291715461048,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.03291715461048,"endHours":31.03291715461048,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","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":-23.175097414830393,"eotMinutes":4.63598977403141,"ayanamsa":24.0199}},"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 Caturthī · 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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 14, 2011 CE · Mathurā · Vidhyamitra","description":"December 14, 2011 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2011-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2011-12-14","sa":"https://sa.vidhyamitra.com/city/mathura/2011-12-14","hi":"https://hi.vidhyamitra.com/city/mathura/2011-12-14","x-default":"https://vidhyamitra.com/city/mathura/2011-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T10:36:12.698Z","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":"2026-05-14T10:36:12.698Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T10:36:12.698Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}