{"id":"vidhyamitra:city-day:mathura:2002-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2002-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-13","date_display":"December 13, 2002 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":2002,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452621.770833,"kali_year":5104,"ahargana":1864156.2708,"sun":{"sidereal_longitude":236.5407,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":340.2732,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.7325,"elapsed_within_tithi_degrees":7.7325},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.2732,"elapsed_within_degrees":6.9398},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.8138},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2002,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452621.770833,"ahargana":1864156.2708,"kali_year":5104,"ayanamsa_lahiri":23.8942,"grahas":{"sun":{"sidereal_longitude":236.95267,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":342.16957,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":-4.1645},"mars":{"sidereal_longitude":193.45156999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":252.50917000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":113.99017000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":194.19097,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":61.981870000000015,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":48.0298,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":228.0298,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452621.770833,"kali_year":5104,"ahargana":1864156.2708,"sun":{"sidereal_longitude":236.5407,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":340.2732,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.7325,"elapsed_within_tithi_degrees":7.7325},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.2732,"elapsed_within_degrees":6.9398},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.8138},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.165,"elongation":103.732},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.165,"opposition_distance":76.268}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":0.273,"elongation":2.306},{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"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":10.427650900383021,"dayLengthDisplay":"10 Hours 25 Mins 40 Secs","nightLengthDisplay":"13 Hours 34 Mins 20 Secs","moonriseLocal":"13:07","moonsetLocal":"01:23","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:14","startHours":10.93345279996182,"endHours":12.236909162509697,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:51","end":"16:09","startHours":14.843821887605452,"endHours":16.14727825015333,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:20","end":"09:38","startHours":8.326540074866063,"endHours":9.629996437413942,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.456202255740891,"endHours":9.803790619086993,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.457569166500813,"endHours":7.735639857177693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889320799163597,"endHours":12.584497525855797,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.632730258933783,"endHours":6.327906985625985,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.154112803952935,"endHours":7.023083712318186,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974850979240202,"endHours":14.670027705932403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25073461270121,"endHours":17.650734612701207,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.450734612701208,"endHours":17.885220066883832,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.200734612701208,"endHours":18.950734612701208,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889320799163595,"endHours":24.5844975258558,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:01","end":"08:20","startHours":7.023083712318186,"endHours":8.326540074866063,"quality":"neutral"},{"name":"Labha","start":"08:20","end":"09:38","startHours":8.326540074866063,"endHours":9.629996437413942,"quality":"auspicious"},{"name":"Amṛta","start":"09:38","end":"10:56","startHours":9.629996437413942,"endHours":10.93345279996182,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:14","startHours":10.93345279996182,"endHours":12.236909162509697,"quality":"inauspicious"},{"name":"Śubha","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540365525057574,"quality":"auspicious"},{"name":"Roga","start":"13:32","end":"14:51","startHours":13.540365525057574,"endHours":14.843821887605452,"quality":"inauspicious"},{"name":"Udveg","start":"14:51","end":"16:09","startHours":14.843821887605452,"endHours":16.14727825015333,"quality":"inauspicious"},{"name":"Chala","start":"16:09","end":"17:27","startHours":16.14727825015333,"endHours":17.450734612701208,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:27","end":"19:09","startHours":17.450734612701208,"endHours":19.14727825015333,"quality":"inauspicious"},{"name":"Udveg","start":"19:09","end":"20:51","startHours":19.14727825015333,"endHours":20.84382188760545,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:32","startHours":20.84382188760545,"endHours":22.540365525057574,"quality":"neutral"},{"name":"Labha","start":"22:32","end":"00:14","startHours":22.540365525057574,"endHours":24.236909162509697,"quality":"auspicious"},{"name":"Amṛta","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.93345279996182,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:38","startHours":25.93345279996182,"endHours":27.629996437413944,"quality":"inauspicious"},{"name":"Śubha","start":"03:38","end":"05:20","startHours":27.629996437413944,"endHours":29.326540074866063,"quality":"auspicious"},{"name":"Roga","start":"05:20","end":"07:01","startHours":29.326540074866063,"endHours":31.023083712318186,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.023083712318186,"endHours":8.023083712318186,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.023083712318186,"endHours":9.023083712318186,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.023083712318186,"endHours":10.023083712318186,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.023083712318186,"endHours":11.023083712318186,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.023083712318186,"endHours":12.023083712318186,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.023083712318186,"endHours":13.023083712318186,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.023083712318186,"endHours":14.023083712318186,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.023083712318186,"endHours":15.023083712318186,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.023083712318186,"endHours":16.023083712318186,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.023083712318186,"endHours":17.023083712318186,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.023083712318186,"endHours":18.023083712318186,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.023083712318186,"endHours":19.023083712318186,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.023083712318186,"endHours":20.023083712318186,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.023083712318186,"endHours":21.023083712318186,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.023083712318186,"endHours":22.023083712318186,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.023083712318186,"endHours":23.023083712318186,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.023083712318186,"endHours":24.023083712318186,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.023083712318186,"endHours":25.023083712318186,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.023083712318186,"endHours":26.023083712318186,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.023083712318186,"endHours":27.023083712318186,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.023083712318186,"endHours":28.023083712318186,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.023083712318186,"endHours":29.023083712318186,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.023083712318186,"endHours":30.023083712318186,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.023083712318186,"endHours":31.023083712318186,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","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":-23.120613819952318,"eotMinutes":5.090650249418121,"ayanamsa":23.8942}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Navamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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, 2002 CE · Mathurā · Vidhyamitra","description":"December 13, 2002 CE for Mathurā: Śukla Navamī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2002-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2002-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/2002-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/2002-12-13","x-default":"https://vidhyamitra.com/city/mathura/2002-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:03:51.096Z","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":"2026-05-14T09:03:51.096Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:03:51.096Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}