{"id":"vidhyamitra:city-day:mathura:2005-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2005-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2005-12-20","date_display":"December 20, 2005 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":2005,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453724.770833,"kali_year":5107,"ahargana":1865259.2708,"sun":{"sidereal_longitude":243.9538,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":116.0396,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0858,"elapsed_within_tithi_degrees":4.0858},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":116.0396,"elapsed_within_degrees":9.373},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.9935},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2005,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453724.770833,"ahargana":1865259.2708,"kali_year":5107,"ayanamsa_lahiri":23.9364,"grahas":{"sun":{"sidereal_longitude":244.30932699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":113.44642700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":3.6183},"mars":{"sidereal_longitude":14.842827,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":224.47512699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":197.91632700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":277.067327,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":106.535327,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":349.5876,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.5876,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"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":2005,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453724.770833,"kali_year":5107,"ahargana":1865259.2708,"sun":{"sidereal_longitude":243.9538,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":116.0396,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0858,"elapsed_within_tithi_degrees":4.0858},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":116.0396,"elapsed_within_degrees":9.373},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.9935},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.618,"elongation":127.914},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.618,"opposition_distance":52.086}},"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":"07:05","sunsetLocal":"17:30","solarNoonLocal":"12:17","dayLengthHours":10.402404910136418,"dayLengthDisplay":"10 Hours 24 Mins 09 Secs","nightLengthDisplay":"13 Hours 35 Mins 51 Secs","moonriseLocal":"20:58","moonsetLocal":"10:10","rahuKala":{"name":"Rāhu Kāla","start":"14:53","end":"16:12","startHours":14.891489268826291,"endHours":16.191789882593344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:41","end":"10:59","startHours":9.690286813758082,"endHours":10.990587427525135,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:17","end":"13:35","startHours":12.290888041292188,"endHours":13.59118865505924,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.516913398589143,"endHours":9.863660228927023,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.523119124146329,"endHours":7.800516588416634,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.944141210954308,"endHours":12.637634871630068,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.702698264872455,"endHours":6.396191925548217,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.222818510379277,"endHours":7.089685586223978,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.02462219298159,"endHours":14.718115853657352,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.292090496360398,"endHours":17.692090496360397,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.492090496360397,"endHours":17.92552403428275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.242090496360397,"endHours":18.992090496360397,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.944141210954307,"endHours":24.63763487163007,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:05","end":"08:23","startHours":7.089685586223978,"endHours":8.38998619999103,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:41","startHours":8.38998619999103,"endHours":9.690286813758082,"quality":"inauspicious"},{"name":"Chala","start":"09:41","end":"10:59","startHours":9.690286813758082,"endHours":10.990587427525135,"quality":"neutral"},{"name":"Labha","start":"10:59","end":"12:17","startHours":10.990587427525135,"endHours":12.290888041292188,"quality":"auspicious"},{"name":"Amṛta","start":"12:17","end":"13:35","startHours":12.290888041292188,"endHours":13.59118865505924,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"14:53","startHours":13.59118865505924,"endHours":14.891489268826291,"quality":"inauspicious"},{"name":"Śubha","start":"14:53","end":"16:12","startHours":14.891489268826291,"endHours":16.191789882593344,"quality":"auspicious"},{"name":"Roga","start":"16:12","end":"17:30","startHours":16.191789882593344,"endHours":17.492090496360397,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:30","end":"19:12","startHours":17.492090496360397,"endHours":19.191789882593344,"quality":"inauspicious"},{"name":"Śubha","start":"19:12","end":"20:53","startHours":19.191789882593344,"endHours":20.89148926882629,"quality":"auspicious"},{"name":"Roga","start":"20:53","end":"22:35","startHours":20.89148926882629,"endHours":22.59118865505924,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"00:17","startHours":22.59118865505924,"endHours":24.290888041292188,"quality":"inauspicious"},{"name":"Chala","start":"00:17","end":"01:59","startHours":24.290888041292188,"endHours":25.990587427525135,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"03:41","startHours":25.990587427525135,"endHours":27.690286813758085,"quality":"auspicious"},{"name":"Amṛta","start":"03:41","end":"05:23","startHours":27.690286813758085,"endHours":29.389986199991032,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"07:05","startHours":29.389986199991032,"endHours":31.08968558622398,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.089685586223978,"endHours":8.089685586223979,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.089685586223979,"endHours":9.089685586223979,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.089685586223979,"endHours":10.089685586223979,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.089685586223979,"endHours":11.089685586223979,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.089685586223979,"endHours":12.089685586223979,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.089685586223979,"endHours":13.089685586223979,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.089685586223979,"endHours":14.089685586223979,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.089685586223979,"endHours":15.089685586223979,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.089685586223979,"endHours":16.08968558622398,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.08968558622398,"endHours":17.08968558622398,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.08968558622398,"endHours":18.08968558622398,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.08968558622398,"endHours":19.08968558622398,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.08968558622398,"endHours":20.08968558622398,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.08968558622398,"endHours":21.08968558622398,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.08968558622398,"endHours":22.08968558622398,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.08968558622398,"endHours":23.08968558622398,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.08968558622398,"endHours":24.08968558622398,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.08968558622398,"endHours":25.08968558622398,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.08968558622398,"endHours":26.08968558622398,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.08968558622398,"endHours":27.08968558622398,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.08968558622398,"endHours":28.08968558622398,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.08968558622398,"endHours":29.08968558622398,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.08968558622398,"endHours":30.08968558622398,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.08968558622398,"endHours":31.08968558622398,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.424859464345886,"eotMinutes":1.851917522468745,"ayanamsa":23.9364}},"calendars":{"vikram_samvat":2062,"vikram_samvatsara":"Vilambī","saka_samvat":1927,"saka_samvatsara":"Pārthiva","bengali_samvat":1412,"malayalam_era":1181,"nanakshahi_year":536,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2062 Vilambī · Śaka 1927 Pārthiva"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 20, 2005 CE · Mathurā · Vidhyamitra","description":"December 20, 2005 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:05, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2005-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2005-12-20","sa":"https://sa.vidhyamitra.com/city/mathura/2005-12-20","hi":"https://hi.vidhyamitra.com/city/mathura/2005-12-20","x-default":"https://vidhyamitra.com/city/mathura/2005-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:30:40.698Z","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":"2026-05-14T18:30:40.698Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:30:40.698Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}