{"id":"vidhyamitra:city-day:mathura:2004-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2004-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-12-17","date_display":"December 17, 2004 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":2004,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453356.770833,"kali_year":5106,"ahargana":1864891.2708,"sun":{"sidereal_longitude":241.1393,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.7283,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.5889,"elapsed_within_tithi_degrees":5.5889},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.7283,"elapsed_within_degrees":0.0616},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.8676},"karana":{"half_tithi_index":10,"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":2004,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453356.770833,"ahargana":1864891.2708,"kali_year":5106,"ayanamsa_lahiri":23.9223,"grahas":{"sun":{"sidereal_longitude":241.517287,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":310.57008700000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-3.9855},"mars":{"sidereal_longitude":210.13288699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":227.275987,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":171.98278699999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":216.43248700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":91.96378700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":9.086,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.086,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2004,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453356.770833,"kali_year":5106,"ahargana":1864891.2708,"sun":{"sidereal_longitude":241.1393,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.7283,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.5889,"elapsed_within_tithi_degrees":5.5889},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.7283,"elapsed_within_degrees":0.0616},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.8676},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.985,"elongation":65.589},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.985,"opposition_distance":114.411}},"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":"07:04","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.40797311660878,"dayLengthDisplay":"10 Hours 24 Mins 29 Secs","nightLengthDisplay":"13 Hours 35 Mins 31 Secs","moonriseLocal":"11:10","moonsetLocal":"22:34","rahuKala":{"name":"Rāhu Kāla","start":"10:58","end":"12:16","startHours":10.966533879138762,"endHours":12.26753051871486,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:52","end":"16:10","startHours":14.869523797867055,"endHours":16.17052043744315,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:40","startHours":8.364540599986569,"endHours":9.665537239562665,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.492071020952519,"endHours":9.839003458172812,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:46","startHours":7.497209506935836,"endHours":7.774755456712071,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.920598081494568,"endHours":12.614462955935153,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:22","startHours":5.6758142115293,"endHours":6.369679085969885,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.196212867359739,"endHours":7.06354396041047,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.002192704816323,"endHours":14.696057579256909,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.27151707701925,"endHours":17.67151707701925,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.47151707701925,"endHours":17.905182623544615,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.22151707701925,"endHours":18.97151707701925,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.920598081494568,"endHours":24.614462955935153,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:04","end":"08:22","startHours":7.06354396041047,"endHours":8.364540599986569,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:40","startHours":8.364540599986569,"endHours":9.665537239562665,"quality":"auspicious"},{"name":"Amṛta","start":"09:40","end":"10:58","startHours":9.665537239562665,"endHours":10.966533879138762,"quality":"auspicious"},{"name":"Kāla","start":"10:58","end":"12:16","startHours":10.966533879138762,"endHours":12.26753051871486,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:34","startHours":12.26753051871486,"endHours":13.568527158290959,"quality":"auspicious"},{"name":"Roga","start":"13:34","end":"14:52","startHours":13.568527158290959,"endHours":14.869523797867055,"quality":"inauspicious"},{"name":"Udveg","start":"14:52","end":"16:10","startHours":14.869523797867055,"endHours":16.17052043744315,"quality":"inauspicious"},{"name":"Chala","start":"16:10","end":"17:28","startHours":16.17052043744315,"endHours":17.47151707701925,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:28","end":"19:10","startHours":17.47151707701925,"endHours":19.17052043744315,"quality":"inauspicious"},{"name":"Udveg","start":"19:10","end":"20:52","startHours":19.17052043744315,"endHours":20.869523797867053,"quality":"inauspicious"},{"name":"Chala","start":"20:52","end":"22:34","startHours":20.869523797867053,"endHours":22.56852715829096,"quality":"neutral"},{"name":"Labha","start":"22:34","end":"00:16","startHours":22.56852715829096,"endHours":24.26753051871486,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:58","startHours":24.26753051871486,"endHours":25.966533879138762,"quality":"auspicious"},{"name":"Kāla","start":"01:58","end":"03:40","startHours":25.966533879138762,"endHours":27.665537239562667,"quality":"inauspicious"},{"name":"Śubha","start":"03:40","end":"05:22","startHours":27.665537239562667,"endHours":29.36454059998657,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:04","startHours":29.36454059998657,"endHours":31.06354396041047,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.06354396041047,"endHours":8.06354396041047,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.06354396041047,"endHours":9.06354396041047,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.06354396041047,"endHours":10.06354396041047,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.06354396041047,"endHours":11.06354396041047,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.06354396041047,"endHours":12.06354396041047,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.06354396041047,"endHours":13.06354396041047,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.06354396041047,"endHours":14.06354396041047,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.06354396041047,"endHours":15.06354396041047,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.06354396041047,"endHours":16.06354396041047,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.06354396041047,"endHours":17.06354396041047,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.06354396041047,"endHours":18.06354396041047,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.06354396041047,"endHours":19.06354396041047,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.06354396041047,"endHours":20.06354396041047,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.06354396041047,"endHours":21.06354396041047,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.06354396041047,"endHours":22.06354396041047,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.06354396041047,"endHours":23.06354396041047,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.06354396041047,"endHours":24.06354396041047,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.06354396041047,"endHours":25.06354396041047,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.06354396041047,"endHours":26.06354396041047,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.06354396041047,"endHours":27.06354396041047,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.06354396041047,"endHours":28.06354396041047,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.06354396041047,"endHours":29.06354396041047,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.06354396041047,"endHours":30.06354396041047,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.06354396041047,"endHours":31.06354396041047,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Utpāta","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":-23.357889290105092,"eotMinutes":3.253368877108411,"ayanamsa":23.9223}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"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":"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":[]},"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 17, 2004 CE · Mathurā · Vidhyamitra","description":"December 17, 2004 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 07:04, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2004-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2004-12-17","sa":"https://sa.vidhyamitra.com/city/mathura/2004-12-17","hi":"https://hi.vidhyamitra.com/city/mathura/2004-12-17","x-default":"https://vidhyamitra.com/city/mathura/2004-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:40:26.554Z","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":"2026-05-14T15:40:26.554Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:40:26.554Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}