{"id":"vidhyamitra:city-day:dwarka:2003-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/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":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"07:25","sunsetLocal":"18:13","solarNoonLocal":"12:49","dayLengthHours":10.792840672766909,"dayLengthDisplay":"10 Hours 47 Mins 34 Secs","nightLengthDisplay":"13 Hours 12 Mins 26 Secs","moonriseLocal":"21:20","moonsetLocal":"10:28","rahuKala":{"name":"Rāhu Kāla","start":"10:07","end":"11:28","startHours":10.119038994317972,"endHours":11.468144078413836,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:10","end":"15:31","startHours":14.166354246605563,"endHours":15.515459330701427,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:25","end":"08:46","startHours":7.420828826126245,"endHours":8.76993391022211,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:18","startHours":9.939158316438524,"endHours":10.298919672197421,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:52","end":"08:10","startHours":7.870530520824866,"endHours":8.158339605431983,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:27","end":"13:11","startHours":12.457487806750802,"endHours":13.177010518268595,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:59","end":"06:42","startHours":5.981783403090657,"endHours":6.701306114608451,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:31","end":"07:25","startHours":6.521425436729002,"endHours":7.420828826126245,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:20","startHours":14.616055941304184,"endHours":15.335578652821978,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.013669498893154,"endHours":18.413669498893153,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:40","startHours":18.213669498893154,"endHours":18.663371193591775,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.963669498893154,"endHours":19.713669498893154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:27","end":"01:11","startHours":24.457487806750798,"endHours":25.177010518268595,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:25","end":"08:46","startHours":7.420828826126245,"endHours":8.76993391022211,"quality":"inauspicious"},{"name":"Śubha","start":"08:46","end":"10:07","startHours":8.76993391022211,"endHours":10.119038994317972,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:28","startHours":10.119038994317972,"endHours":11.468144078413836,"quality":"inauspicious"},{"name":"Udveg","start":"11:28","end":"12:49","startHours":11.468144078413836,"endHours":12.8172491625097,"quality":"inauspicious"},{"name":"Chala","start":"12:49","end":"14:10","startHours":12.8172491625097,"endHours":14.166354246605563,"quality":"neutral"},{"name":"Labha","start":"14:10","end":"15:31","startHours":14.166354246605563,"endHours":15.515459330701427,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"16:52","startHours":15.515459330701427,"endHours":16.86456441479729,"quality":"auspicious"},{"name":"Kāla","start":"16:52","end":"18:13","startHours":16.86456441479729,"endHours":18.213669498893154,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:13","end":"19:52","startHours":18.213669498893154,"endHours":19.86456441479729,"quality":"auspicious"},{"name":"Amṛta","start":"19:52","end":"21:31","startHours":19.86456441479729,"endHours":21.515459330701425,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"23:10","startHours":21.515459330701425,"endHours":23.166354246605565,"quality":"inauspicious"},{"name":"Śubha","start":"23:10","end":"00:49","startHours":23.166354246605565,"endHours":24.8172491625097,"quality":"auspicious"},{"name":"Roga","start":"00:49","end":"02:28","startHours":24.8172491625097,"endHours":26.468144078413836,"quality":"inauspicious"},{"name":"Udveg","start":"02:28","end":"04:07","startHours":26.468144078413836,"endHours":28.11903899431797,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:46","startHours":28.11903899431797,"endHours":29.769933910222107,"quality":"neutral"},{"name":"Labha","start":"05:46","end":"07:25","startHours":29.769933910222107,"endHours":31.420828826126247,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:25","end":"08:25","startHours":7.420828826126245,"endHours":8.420828826126245,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:25","end":"09:25","startHours":8.420828826126245,"endHours":9.420828826126245,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:25","end":"10:25","startHours":9.420828826126245,"endHours":10.420828826126245,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:25","end":"11:25","startHours":10.420828826126245,"endHours":11.420828826126245,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:25","end":"12:25","startHours":11.420828826126245,"endHours":12.420828826126245,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:25","end":"13:25","startHours":12.420828826126245,"endHours":13.420828826126245,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:25","end":"14:25","startHours":13.420828826126245,"endHours":14.420828826126245,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:25","end":"15:25","startHours":14.420828826126245,"endHours":15.420828826126245,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:25","end":"16:25","startHours":15.420828826126245,"endHours":16.420828826126247,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:25","end":"17:25","startHours":16.420828826126247,"endHours":17.420828826126247,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:25","end":"18:25","startHours":17.420828826126247,"endHours":18.420828826126247,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:25","end":"19:25","startHours":18.420828826126247,"endHours":19.420828826126247,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:25","end":"20:25","startHours":19.420828826126247,"endHours":20.420828826126247,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:25","end":"21:25","startHours":20.420828826126247,"endHours":21.420828826126247,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:25","end":"22:25","startHours":21.420828826126247,"endHours":22.420828826126247,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:25","end":"23:25","startHours":22.420828826126247,"endHours":23.420828826126247,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:25","end":"00:25","startHours":23.420828826126247,"endHours":24.420828826126247,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:25","end":"01:25","startHours":24.420828826126247,"endHours":25.420828826126247,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:25","end":"02:25","startHours":25.420828826126247,"endHours":26.420828826126247,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:25","end":"03:25","startHours":26.420828826126247,"endHours":27.420828826126247,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:25","end":"04:25","startHours":27.420828826126247,"endHours":28.420828826126247,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:25","end":"05:25","startHours":28.420828826126247,"endHours":29.420828826126247,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:25","end":"06:25","startHours":29.420828826126247,"endHours":30.420828826126247,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:25","end":"07:25","startHours":30.420828826126247,"endHours":31.420828826126247,"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":"dwarka"},"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 · Dvārakā · Vidhyamitra","description":"December 13, 2003 CE for Dvārakā: Kṛṣṇa Pañcamī, sūryodaya 07:25, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2003-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2003-12-13","sa":"https://sa.vidhyamitra.com/city/dwarka/2003-12-13","hi":"https://hi.vidhyamitra.com/city/dwarka/2003-12-13","x-default":"https://vidhyamitra.com/city/dwarka/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":"2026-05-17T16:53:04.479Z","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":"2026-05-17T16:53:04.479Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T16:53:04.479Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}