{"id":"vidhyamitra:city-day:dwarka:1682-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1682-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1682-12-13","date_display":"December 13, 1682 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":1682,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2335744.770833,"kali_year":4784,"ahargana":1747279.2708,"sun":{"sidereal_longitude":242.494,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.3982,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.9042,"elapsed_within_tithi_degrees":1.9042},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3982,"elapsed_within_degrees":0.3982},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.8922},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1682,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2335744.770833,"ahargana":1747279.2708,"kali_year":4784,"ayanamsa_lahiri":19.4241,"grahas":{"sun":{"sidereal_longitude":242.10393,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":40.647429999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.436},"mars":{"sidereal_longitude":168.51633000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":228.03823,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":126.26103,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":292.41903,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":124.84902999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":120.7357,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":300.7357,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1682,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2335744.770833,"kali_year":4784,"ahargana":1747279.2708,"sun":{"sidereal_longitude":242.494,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.3982,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.9042,"elapsed_within_tithi_degrees":1.9042},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3982,"elapsed_within_degrees":0.3982},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.8922},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.436,"elongation":157.904},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.436,"opposition_distance":22.096}},"eclipse_window_40days":[]},"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":10.78882949433181,"dayLengthDisplay":"10 Hours 47 Mins 20 Secs","nightLengthDisplay":"13 Hours 12 Mins 40 Secs","moonriseLocal":"16:46","moonsetLocal":"06:00","rahuKala":{"name":"Rāhu Kāla","start":"16:52","end":"18:13","startHours":16.86306022288413,"endHours":18.211663909675604,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:49","end":"14:10","startHours":12.817249162509698,"endHours":14.165852849301174,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"16:52","startHours":15.514456536092652,"endHours":16.86306022288413,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:18","startHours":9.940227964021215,"endHours":10.299855613832277,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:52","end":"08:10","startHours":7.872368977607619,"endHours":8.160071097456466,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:27","end":"13:11","startHours":12.457621512698639,"endHours":13.176876812320758,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:59","end":"06:42","startHours":5.984323816099551,"endHours":6.703579115721673,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:31","end":"07:25","startHours":6.523765290816142,"endHours":7.422834415343793,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:20","startHours":14.615387411565,"endHours":15.334642711187122,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.011663909675605,"endHours":18.411663909675603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:40","startHours":18.211663909675604,"endHours":18.66119847193943,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.961663909675604,"endHours":19.711663909675604,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:27","end":"01:11","startHours":24.457621512698637,"endHours":25.176876812320756,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:25","end":"08:46","startHours":7.422834415343793,"endHours":8.771438102135269,"quality":"inauspicious"},{"name":"Chala","start":"08:46","end":"10:07","startHours":8.771438102135269,"endHours":10.120041788926745,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:28","startHours":10.120041788926745,"endHours":11.468645475718223,"quality":"auspicious"},{"name":"Amṛta","start":"11:28","end":"12:49","startHours":11.468645475718223,"endHours":12.817249162509698,"quality":"auspicious"},{"name":"Kāla","start":"12:49","end":"14:10","startHours":12.817249162509698,"endHours":14.165852849301174,"quality":"inauspicious"},{"name":"Śubha","start":"14:10","end":"15:31","startHours":14.165852849301174,"endHours":15.514456536092652,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"16:52","startHours":15.514456536092652,"endHours":16.86306022288413,"quality":"inauspicious"},{"name":"Udveg","start":"16:52","end":"18:13","startHours":16.86306022288413,"endHours":18.211663909675604,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:13","end":"19:52","startHours":18.211663909675604,"endHours":19.863060222884126,"quality":"auspicious"},{"name":"Roga","start":"19:52","end":"21:31","startHours":19.863060222884126,"endHours":21.514456536092652,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"23:10","startHours":21.514456536092652,"endHours":23.165852849301174,"quality":"inauspicious"},{"name":"Chala","start":"23:10","end":"00:49","startHours":23.165852849301174,"endHours":24.817249162509697,"quality":"neutral"},{"name":"Labha","start":"00:49","end":"02:28","startHours":24.817249162509697,"endHours":26.468645475718223,"quality":"auspicious"},{"name":"Amṛta","start":"02:28","end":"04:07","startHours":26.468645475718223,"endHours":28.120041788926745,"quality":"auspicious"},{"name":"Kāla","start":"04:07","end":"05:46","startHours":28.120041788926745,"endHours":29.77143810213527,"quality":"inauspicious"},{"name":"Śubha","start":"05:46","end":"07:25","startHours":29.77143810213527,"endHours":31.422834415343793,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:25","end":"08:25","startHours":7.422834415343793,"endHours":8.422834415343793,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:25","end":"09:25","startHours":8.422834415343793,"endHours":9.422834415343793,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:25","end":"10:25","startHours":9.422834415343793,"endHours":10.422834415343793,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:25","end":"11:25","startHours":10.422834415343793,"endHours":11.422834415343793,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:25","end":"12:25","startHours":11.422834415343793,"endHours":12.422834415343793,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:25","end":"13:25","startHours":12.422834415343793,"endHours":13.422834415343793,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:25","end":"14:25","startHours":13.422834415343793,"endHours":14.422834415343793,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:25","end":"15:25","startHours":14.422834415343793,"endHours":15.422834415343793,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:25","end":"16:25","startHours":15.422834415343793,"endHours":16.422834415343793,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:25","end":"17:25","startHours":16.422834415343793,"endHours":17.422834415343793,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:25","end":"18:25","startHours":17.422834415343793,"endHours":18.422834415343793,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:25","end":"19:25","startHours":18.422834415343793,"endHours":19.422834415343793,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:25","end":"20:25","startHours":19.422834415343793,"endHours":20.422834415343793,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:25","end":"21:25","startHours":20.422834415343793,"endHours":21.422834415343793,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:25","end":"22:25","startHours":21.422834415343793,"endHours":22.422834415343793,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:25","end":"23:25","startHours":22.422834415343793,"endHours":23.422834415343793,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:25","end":"00:25","startHours":23.422834415343793,"endHours":24.422834415343793,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:25","end":"01:25","startHours":24.422834415343793,"endHours":25.422834415343793,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:25","end":"02:25","startHours":25.422834415343793,"endHours":26.422834415343793,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:25","end":"03:25","startHours":26.422834415343793,"endHours":27.422834415343793,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:25","end":"04:25","startHours":27.422834415343793,"endHours":28.422834415343793,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:25","end":"05:25","startHours":28.422834415343793,"endHours":29.422834415343793,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:25","end":"06:25","startHours":29.422834415343793,"endHours":30.422834415343793,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:25","end":"07:25","startHours":30.422834415343793,"endHours":31.422834415343793,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.16575148582324,"eotMinutes":5.090650249418121,"ayanamsa":19.4241}},"calendars":{"vikram_samvat":1739,"vikram_samvatsara":"Yuva","saka_samvat":1604,"saka_samvatsara":"Dundubhi","bengali_samvat":1089,"malayalam_era":858,"nanakshahi_year":213,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 1739 Yuva · Śaka 1604 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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, 1682 CE · Dvārakā · Vidhyamitra","description":"December 13, 1682 CE for Dvārakā: Śukla Caturdaśī, sūryodaya 07:25, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1682-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1682-12-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1682-12-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1682-12-13","x-default":"https://vidhyamitra.com/city/dwarka/1682-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T20:42:22.202Z","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":"2026-06-03T20:42:22.202Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T20:42:22.202Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}