{"id":"vidhyamitra:city-day:dwarka:2181-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2181-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-12-20","date_display":"December 20, 2181 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":2181,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518007.770833,"kali_year":5283,"ahargana":1929542.2708,"sun":{"sidereal_longitude":241.3447,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":51.4909,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.1462,"elapsed_within_tithi_degrees":2.1462},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.4909,"elapsed_within_degrees":11.4909},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.8356},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2181,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2518007.770833,"ahargana":1929542.2708,"kali_year":5283,"ayanamsa_lahiri":26.395,"grahas":{"sun":{"sidereal_longitude":242.13924399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":51.435343999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-3.3387},"mars":{"sidereal_longitude":232.07984399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":242.21174399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":144.108044,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":203.91384400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":95.25124400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":183.5649,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.5649,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":2181,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518007.770833,"kali_year":5283,"ahargana":1929542.2708,"sun":{"sidereal_longitude":241.3447,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":51.4909,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.1462,"elapsed_within_tithi_degrees":2.1462},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.4909,"elapsed_within_degrees":11.4909},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.8356},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.339,"elongation":170.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.339,"opposition_distance":9.854}},"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":"07:29","sunsetLocal":"18:15","solarNoonLocal":"12:52","dayLengthHours":10.771899247717194,"dayLengthDisplay":"10 Hours 46 Mins 19 Secs","nightLengthDisplay":"13 Hours 13 Mins 41 Secs","moonriseLocal":"17:27","moonsetLocal":"06:52","rahuKala":{"name":"Rāhu Kāla","start":"14:13","end":"15:34","startHours":14.217715447256836,"endHours":15.564202853221484,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"08:50","startHours":7.48527841743359,"endHours":8.83176582339824,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:11","end":"11:31","startHours":10.178253229362888,"endHours":11.524740635327538,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:00","end":"10:21","startHours":9.998721575234269,"endHours":10.357784883491508,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:56","end":"08:13","startHours":7.9341075527551395,"endHours":8.221358199360932,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:31","end":"13:14","startHours":12.512164733034949,"endHours":13.230291349549427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:03","end":"06:46","startHours":6.0490251844046306,"endHours":6.767151800919111,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:35","end":"07:29","startHours":6.58762014679049,"endHours":7.48527841743359,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:23","startHours":14.666544582578386,"endHours":15.384671199092866,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:03","end":"18:27","startHours":18.057177665150785,"endHours":18.457177665150784,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:15","end":"18:42","startHours":18.257177665150785,"endHours":18.706006800472334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:00","end":"19:45","startHours":18.007177665150785,"endHours":19.757177665150785,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:31","end":"01:14","startHours":24.512164733034947,"endHours":25.23029134954943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:29","end":"08:50","startHours":7.48527841743359,"endHours":8.83176582339824,"quality":"auspicious"},{"name":"Roga","start":"08:50","end":"10:11","startHours":8.83176582339824,"endHours":10.178253229362888,"quality":"inauspicious"},{"name":"Udveg","start":"10:11","end":"11:31","startHours":10.178253229362888,"endHours":11.524740635327538,"quality":"inauspicious"},{"name":"Chala","start":"11:31","end":"12:52","startHours":11.524740635327538,"endHours":12.871228041292188,"quality":"neutral"},{"name":"Labha","start":"12:52","end":"14:13","startHours":12.871228041292188,"endHours":14.217715447256836,"quality":"auspicious"},{"name":"Amṛta","start":"14:13","end":"15:34","startHours":14.217715447256836,"endHours":15.564202853221484,"quality":"auspicious"},{"name":"Kāla","start":"15:34","end":"16:55","startHours":15.564202853221484,"endHours":16.910690259186136,"quality":"inauspicious"},{"name":"Śubha","start":"16:55","end":"18:15","startHours":16.910690259186136,"endHours":18.257177665150785,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:15","end":"19:55","startHours":18.257177665150785,"endHours":19.910690259186136,"quality":"auspicious"},{"name":"Kāla","start":"19:55","end":"21:34","startHours":19.910690259186136,"endHours":21.564202853221488,"quality":"inauspicious"},{"name":"Śubha","start":"21:34","end":"23:13","startHours":21.564202853221488,"endHours":23.217715447256836,"quality":"auspicious"},{"name":"Roga","start":"23:13","end":"00:52","startHours":23.217715447256836,"endHours":24.871228041292188,"quality":"inauspicious"},{"name":"Udveg","start":"00:52","end":"02:31","startHours":24.871228041292188,"endHours":26.52474063532754,"quality":"inauspicious"},{"name":"Chala","start":"02:31","end":"04:11","startHours":26.52474063532754,"endHours":28.178253229362888,"quality":"neutral"},{"name":"Labha","start":"04:11","end":"05:50","startHours":28.178253229362888,"endHours":29.83176582339824,"quality":"auspicious"},{"name":"Amṛta","start":"05:50","end":"07:29","startHours":29.83176582339824,"endHours":31.48527841743359,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:29","end":"08:29","startHours":7.48527841743359,"endHours":8.485278417433591,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:29","end":"09:29","startHours":8.485278417433591,"endHours":9.485278417433591,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:29","end":"10:29","startHours":9.485278417433591,"endHours":10.485278417433591,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:29","end":"11:29","startHours":10.485278417433591,"endHours":11.485278417433591,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:29","end":"12:29","startHours":11.485278417433591,"endHours":12.485278417433591,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:29","end":"13:29","startHours":12.485278417433591,"endHours":13.485278417433591,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:29","end":"14:29","startHours":13.485278417433591,"endHours":14.485278417433591,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:29","end":"15:29","startHours":14.485278417433591,"endHours":15.485278417433591,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:29","end":"16:29","startHours":15.485278417433591,"endHours":16.48527841743359,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:29","end":"17:29","startHours":16.48527841743359,"endHours":17.48527841743359,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:29","end":"18:29","startHours":17.48527841743359,"endHours":18.48527841743359,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:29","end":"19:29","startHours":18.48527841743359,"endHours":19.48527841743359,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:29","end":"20:29","startHours":19.48527841743359,"endHours":20.48527841743359,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:29","end":"21:29","startHours":20.48527841743359,"endHours":21.48527841743359,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:29","end":"22:29","startHours":21.48527841743359,"endHours":22.48527841743359,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:29","end":"23:29","startHours":22.48527841743359,"endHours":23.48527841743359,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:29","end":"00:29","startHours":23.48527841743359,"endHours":24.48527841743359,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:29","end":"01:29","startHours":24.48527841743359,"endHours":25.48527841743359,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:29","end":"02:29","startHours":25.48527841743359,"endHours":26.48527841743359,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:29","end":"03:29","startHours":26.48527841743359,"endHours":27.48527841743359,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:29","end":"04:29","startHours":27.48527841743359,"endHours":28.48527841743359,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:29","end":"05:29","startHours":28.48527841743359,"endHours":29.48527841743359,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:29","end":"06:29","startHours":29.48527841743359,"endHours":30.48527841743359,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:29","end":"07:29","startHours":30.48527841743359,"endHours":31.48527841743359,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","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":-23.428373229760236,"eotMinutes":1.851917522468745,"ayanamsa":26.395}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"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 Pūrṇimā · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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},{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 20, 2181 CE · Dvārakā · Vidhyamitra","description":"December 20, 2181 CE for Dvārakā: Śukla Pūrṇimā, sūryodaya 07:29, sūryāsta 18:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2181-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2181-12-20","sa":"https://sa.vidhyamitra.com/city/dwarka/2181-12-20","hi":"https://hi.vidhyamitra.com/city/dwarka/2181-12-20","x-default":"https://vidhyamitra.com/city/dwarka/2181-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:22:55.664Z","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":"2026-05-31T18:22:55.665Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:22:55.665Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}