{"id":"vidhyamitra:city-day:mathura:2013-12-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2013-12-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-12-22","date_display":"December 22, 2013 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":2013,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456648.770833,"kali_year":5115,"ahargana":1868183.2708,"sun":{"sidereal_longitude":245.9362,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.3016,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.3655,"elapsed_within_tithi_degrees":6.3655},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3016,"elapsed_within_degrees":0.3016},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.2378},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2013,"month":12,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456648.770833,"ahargana":1868183.2708,"kali_year":5115,"ayanamsa_lahiri":24.0482,"grahas":{"sun":{"sidereal_longitude":246.29360899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":116.84770900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-4.333},"mars":{"sidereal_longitude":162.789809,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":242.00230899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":82.72710899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":274.7473090000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":205.09300899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":194.66,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.66,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456648.770833,"kali_year":5115,"ahargana":1868183.2708,"sun":{"sidereal_longitude":245.9362,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.3016,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.3655,"elapsed_within_tithi_degrees":6.3655},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3016,"elapsed_within_degrees":0.3016},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.2378},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.333,"elongation":125.635},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.333,"opposition_distance":54.365}},"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":"07:06","sunsetLocal":"17:30","solarNoonLocal":"12:18","dayLengthHours":10.40147319507963,"dayLengthDisplay":"10 Hours 24 Mins 05 Secs","nightLengthDisplay":"13 Hours 35 Mins 55 Secs","moonriseLocal":"21:07","moonsetLocal":"10:14","rahuKala":{"name":"Rāhu Kāla","start":"16:12","end":"17:30","startHours":16.20708899649619,"endHours":17.507273145881143,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:18","end":"13:36","startHours":12.306536548341327,"endHours":13.606720697726281,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:54","end":"16:12","startHours":14.906904847111235,"endHours":16.20708899649619,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.53281036298676,"endHours":9.87952613615608,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.539194667263165,"endHours":7.816567285798621,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:39","startHours":11.959820775172007,"endHours":12.653252321510648,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.718936858124229,"endHours":6.412368404462871,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.239010517878211,"endHours":7.105799950801513,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:44","startHours":14.040115414187934,"endHours":14.733546960526576,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.307273145881144,"endHours":17.707273145881143,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.507273145881143,"endHours":17.940667862342796,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.257273145881143,"endHours":19.007273145881143,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:39","startHours":23.959820775172005,"endHours":24.65325232151065,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:06","end":"08:24","startHours":7.105799950801513,"endHours":8.405984100186467,"quality":"inauspicious"},{"name":"Chala","start":"08:24","end":"09:42","startHours":8.405984100186467,"endHours":9.706168249571421,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"11:00","startHours":9.706168249571421,"endHours":11.006352398956373,"quality":"auspicious"},{"name":"Amṛta","start":"11:00","end":"12:18","startHours":11.006352398956373,"endHours":12.306536548341327,"quality":"auspicious"},{"name":"Kāla","start":"12:18","end":"13:36","startHours":12.306536548341327,"endHours":13.606720697726281,"quality":"inauspicious"},{"name":"Śubha","start":"13:36","end":"14:54","startHours":13.606720697726281,"endHours":14.906904847111235,"quality":"auspicious"},{"name":"Roga","start":"14:54","end":"16:12","startHours":14.906904847111235,"endHours":16.20708899649619,"quality":"inauspicious"},{"name":"Udveg","start":"16:12","end":"17:30","startHours":16.20708899649619,"endHours":17.507273145881143,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:30","end":"19:12","startHours":17.507273145881143,"endHours":19.20708899649619,"quality":"auspicious"},{"name":"Roga","start":"19:12","end":"20:54","startHours":19.20708899649619,"endHours":20.906904847111235,"quality":"inauspicious"},{"name":"Udveg","start":"20:54","end":"22:36","startHours":20.906904847111235,"endHours":22.60672069772628,"quality":"inauspicious"},{"name":"Chala","start":"22:36","end":"00:18","startHours":22.60672069772628,"endHours":24.306536548341327,"quality":"neutral"},{"name":"Labha","start":"00:18","end":"02:00","startHours":24.306536548341327,"endHours":26.006352398956373,"quality":"auspicious"},{"name":"Amṛta","start":"02:00","end":"03:42","startHours":26.006352398956373,"endHours":27.70616824957142,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:24","startHours":27.70616824957142,"endHours":29.405984100186465,"quality":"inauspicious"},{"name":"Śubha","start":"05:24","end":"07:06","startHours":29.405984100186465,"endHours":31.10579995080151,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.105799950801513,"endHours":8.105799950801513,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.105799950801513,"endHours":9.105799950801513,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.105799950801513,"endHours":10.105799950801513,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.105799950801513,"endHours":11.105799950801513,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.105799950801513,"endHours":12.105799950801513,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.105799950801513,"endHours":13.105799950801513,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.105799950801513,"endHours":14.105799950801513,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.105799950801513,"endHours":15.105799950801513,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.105799950801513,"endHours":16.10579995080151,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.10579995080151,"endHours":17.10579995080151,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.10579995080151,"endHours":18.10579995080151,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.10579995080151,"endHours":19.10579995080151,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.10579995080151,"endHours":20.10579995080151,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.10579995080151,"endHours":21.10579995080151,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.10579995080151,"endHours":22.10579995080151,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.10579995080151,"endHours":23.10579995080151,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.10579995080151,"endHours":24.10579995080151,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.10579995080151,"endHours":25.10579995080151,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.10579995080151,"endHours":26.10579995080151,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.10579995080151,"endHours":27.10579995080151,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.10579995080151,"endHours":28.10579995080151,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.10579995080151,"endHours":29.10579995080151,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.10579995080151,"endHours":30.10579995080151,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.10579995080151,"endHours":31.10579995080151,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.436058026094397,"eotMinutes":0.9130070995203906,"ayanamsa":24.0482}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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 22, 2013 CE · Mathurā · Vidhyamitra","description":"December 22, 2013 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:06, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2013-12-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2013-12-22","sa":"https://sa.vidhyamitra.com/city/mathura/2013-12-22","hi":"https://hi.vidhyamitra.com/city/mathura/2013-12-22","x-default":"https://vidhyamitra.com/city/mathura/2013-12-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:47:14.014Z","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":"2026-05-14T14:47:14.015Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:47:14.015Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}