{"id":"vidhyamitra:city-day:mathura:2003-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-12-13","date_display":"December 13, 2003 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":2003,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452986.770833,"kali_year":5105,"ahargana":1864521.2708,"sun":{"sidereal_longitude":236.2754,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.7725,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.4971,"elapsed_within_tithi_degrees":1.4971},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.7725,"elapsed_within_degrees":12.4392},"yoga":{"number":26,"name":"Indra","sum_longitude":342.0479},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2003,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452986.770833,"ahargana":1864521.2708,"kali_year":5105,"ayanamsa_lahiri":23.9081,"grahas":{"sun":{"sidereal_longitude":236.69142399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":102.965124,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":4.3859},"mars":{"sidereal_longitude":333.96962400000007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":257.07482400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":144.27572399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":265.89172400000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":77.24242400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":28.6904,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.6904,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452986.770833,"kali_year":5105,"ahargana":1864521.2708,"sun":{"sidereal_longitude":236.2754,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.7725,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.4971,"elapsed_within_tithi_degrees":1.4971},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.7725,"elapsed_within_degrees":12.4392},"yoga":{"number":26,"name":"Indra","sum_longitude":342.0479},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.386,"elongation":130.503},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.386,"opposition_distance":49.497}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":-0.629,"elongation":0.882}]},"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":10.429077842624451,"dayLengthDisplay":"10 Hours 25 Mins 45 Secs","nightLengthDisplay":"13 Hours 34 Mins 15 Secs","moonriseLocal":"20:36","moonsetLocal":"10:02","rahuKala":{"name":"Rāhu Kāla","start":"09:38","end":"10:56","startHours":9.629639701853584,"endHours":10.93327443218164,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"14:51","startHours":13.540543892837754,"endHours":14.84417862316581,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:01","end":"08:20","startHours":7.022370241197471,"endHours":8.326004971525528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.455821737809844,"endHours":9.803457665897325,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.4569151513068235,"endHours":7.735023893776809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889273234422216,"endHours":12.584545090597178,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.631826528847545,"endHours":6.3270983850225075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.153280420978767,"endHours":7.022370241197471,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.975088802947106,"endHours":14.67036065912207,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.251448083821924,"endHours":17.651448083821922,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.451448083821923,"endHours":17.885992993931275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.201448083821923,"endHours":18.951448083821923,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889273234422216,"endHours":24.584545090597178,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:01","end":"08:20","startHours":7.022370241197471,"endHours":8.326004971525528,"quality":"inauspicious"},{"name":"Śubha","start":"08:20","end":"09:38","startHours":8.326004971525528,"endHours":9.629639701853584,"quality":"auspicious"},{"name":"Roga","start":"09:38","end":"10:56","startHours":9.629639701853584,"endHours":10.93327443218164,"quality":"inauspicious"},{"name":"Udveg","start":"10:56","end":"12:14","startHours":10.93327443218164,"endHours":12.236909162509697,"quality":"inauspicious"},{"name":"Chala","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540543892837754,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"14:51","startHours":13.540543892837754,"endHours":14.84417862316581,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:09","startHours":14.84417862316581,"endHours":16.147813353493866,"quality":"auspicious"},{"name":"Kāla","start":"16:09","end":"17:27","startHours":16.147813353493866,"endHours":17.451448083821923,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:09","startHours":17.451448083821923,"endHours":19.147813353493866,"quality":"auspicious"},{"name":"Amṛta","start":"19:09","end":"20:51","startHours":19.147813353493866,"endHours":20.84417862316581,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:32","startHours":20.84417862316581,"endHours":22.540543892837754,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:14","startHours":22.540543892837754,"endHours":24.236909162509697,"quality":"auspicious"},{"name":"Roga","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.93327443218164,"quality":"inauspicious"},{"name":"Udveg","start":"01:56","end":"03:38","startHours":25.93327443218164,"endHours":27.629639701853584,"quality":"inauspicious"},{"name":"Chala","start":"03:38","end":"05:20","startHours":27.629639701853584,"endHours":29.326004971525528,"quality":"neutral"},{"name":"Labha","start":"05:20","end":"07:01","startHours":29.326004971525528,"endHours":31.02237024119747,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.022370241197471,"endHours":8.022370241197471,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.022370241197471,"endHours":9.022370241197471,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.022370241197471,"endHours":10.022370241197471,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.022370241197471,"endHours":11.022370241197471,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.022370241197471,"endHours":12.022370241197471,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.022370241197471,"endHours":13.022370241197471,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.022370241197471,"endHours":14.022370241197471,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.022370241197471,"endHours":15.022370241197471,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.022370241197471,"endHours":16.02237024119747,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02237024119747,"endHours":17.02237024119747,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02237024119747,"endHours":18.02237024119747,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02237024119747,"endHours":19.02237024119747,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02237024119747,"endHours":20.02237024119747,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02237024119747,"endHours":21.02237024119747,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02237024119747,"endHours":22.02237024119747,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02237024119747,"endHours":23.02237024119747,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02237024119747,"endHours":24.02237024119747,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02237024119747,"endHours":25.02237024119747,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02237024119747,"endHours":26.02237024119747,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02237024119747,"endHours":27.02237024119747,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02237024119747,"endHours":28.02237024119747,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02237024119747,"endHours":29.02237024119747,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02237024119747,"endHours":30.02237024119747,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02237024119747,"endHours":31.02237024119747,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","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":-23.103371037409847,"eotMinutes":5.090650249418121,"ayanamsa":23.9081}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pañcamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2003 CE · Mathurā · Vidhyamitra","description":"December 13, 2003 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/2003-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/2003-12-13","x-default":"https://vidhyamitra.com/city/mathura/2003-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:45:30.521Z","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":"2026-05-14T15:45:30.521Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:45:30.521Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}