{"id":"vidhyamitra:city-day:vrindavan:2184-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2184-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2184-12-20","date_display":"December 20, 2184 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":2184,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519103.770833,"kali_year":5286,"ahargana":1930638.2708,"sun":{"sidereal_longitude":241.5744,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":95.05,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.4756,"elapsed_within_tithi_degrees":9.4756},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.05,"elapsed_within_degrees":1.7166},"yoga":{"number":26,"name":"Indra","sum_longitude":336.6244},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2184,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519103.770833,"ahargana":1930638.2708,"kali_year":5286,"ayanamsa_lahiri":26.4369,"grahas":{"sun":{"sidereal_longitude":242.373869,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":96.42746899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":-2.2784},"mars":{"sidereal_longitude":133.10566900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":234.184169,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":221.35106900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":283.8271689999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":137.31466899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.4935,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.4935,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":2184,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519103.770833,"kali_year":5286,"ahargana":1930638.2708,"sun":{"sidereal_longitude":241.5744,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":95.05,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.4756,"elapsed_within_tithi_degrees":9.4756},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.05,"elapsed_within_degrees":1.7166},"yoga":{"number":26,"name":"Indra","sum_longitude":336.6244},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.278,"elongation":146.524},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.278,"opposition_distance":33.476}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:06","sunsetLocal":"17:29","solarNoonLocal":"12:18","dayLengthHours":10.396519615972835,"dayLengthDisplay":"10 Hours 23 Mins 47 Secs","nightLengthDisplay":"13 Hours 36 Mins 13 Secs","moonriseLocal":"19:48","moonsetLocal":"09:19","rahuKala":{"name":"Rāhu Kāla","start":"08:24","end":"09:42","startHours":8.393153185302374,"endHours":9.692718137298979,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:00","end":"12:18","startHours":10.992283089295583,"endHours":12.291848041292187,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"14:53","startHours":13.591412993288792,"endHours":14.890977945285396,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.5194428103661,"endHours":9.86599346423186,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.5267765506379725,"endHours":7.804017073730582,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945297387426427,"endHours":12.638398695157948,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.707385617842726,"endHours":6.400486925574248,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.227211598641368,"endHours":7.093588233305771,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024601310620994,"endHours":14.717702618352517,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290107849278606,"endHours":17.690107849278604,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.490107849278605,"endHours":17.923296166610807,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240107849278605,"endHours":18.990107849278605,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.945297387426425,"endHours":24.63839869515795,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:06","end":"08:24","startHours":7.093588233305771,"endHours":8.393153185302374,"quality":"auspicious"},{"name":"Kāla","start":"08:24","end":"09:42","startHours":8.393153185302374,"endHours":9.692718137298979,"quality":"inauspicious"},{"name":"Śubha","start":"09:42","end":"11:00","startHours":9.692718137298979,"endHours":10.992283089295583,"quality":"auspicious"},{"name":"Roga","start":"11:00","end":"12:18","startHours":10.992283089295583,"endHours":12.291848041292187,"quality":"inauspicious"},{"name":"Udveg","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591412993288792,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"14:53","startHours":13.591412993288792,"endHours":14.890977945285396,"quality":"neutral"},{"name":"Labha","start":"14:53","end":"16:11","startHours":14.890977945285396,"endHours":16.190542897282,"quality":"auspicious"},{"name":"Amṛta","start":"16:11","end":"17:29","startHours":16.190542897282,"endHours":17.490107849278605,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:29","end":"19:11","startHours":17.490107849278605,"endHours":19.190542897282,"quality":"neutral"},{"name":"Labha","start":"19:11","end":"20:53","startHours":19.190542897282,"endHours":20.890977945285396,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:35","startHours":20.890977945285396,"endHours":22.59141299328879,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:18","startHours":22.59141299328879,"endHours":24.291848041292187,"quality":"inauspicious"},{"name":"Śubha","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.992283089295583,"quality":"auspicious"},{"name":"Roga","start":"02:00","end":"03:42","startHours":25.992283089295583,"endHours":27.69271813729898,"quality":"inauspicious"},{"name":"Udveg","start":"03:42","end":"05:24","startHours":27.69271813729898,"endHours":29.393153185302374,"quality":"inauspicious"},{"name":"Chala","start":"05:24","end":"07:06","startHours":29.393153185302374,"endHours":31.09358823330577,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093588233305771,"endHours":8.09358823330577,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.09358823330577,"endHours":9.09358823330577,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.09358823330577,"endHours":10.09358823330577,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.09358823330577,"endHours":11.09358823330577,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.09358823330577,"endHours":12.09358823330577,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.09358823330577,"endHours":13.09358823330577,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.09358823330577,"endHours":14.09358823330577,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.09358823330577,"endHours":15.09358823330577,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.09358823330577,"endHours":16.09358823330577,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09358823330577,"endHours":17.09358823330577,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09358823330577,"endHours":18.09358823330577,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09358823330577,"endHours":19.09358823330577,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09358823330577,"endHours":20.09358823330577,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09358823330577,"endHours":21.09358823330577,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09358823330577,"endHours":22.09358823330577,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09358823330577,"endHours":23.09358823330577,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09358823330577,"endHours":24.09358823330577,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09358823330577,"endHours":25.09358823330577,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09358823330577,"endHours":26.09358823330577,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09358823330577,"endHours":27.09358823330577,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09358823330577,"endHours":28.09358823330577,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09358823330577,"endHours":29.09358823330577,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09358823330577,"endHours":30.09358823330577,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09358823330577,"endHours":31.09358823330577,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Maitra","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":-23.431150173241377,"eotMinutes":1.851917522468745,"ayanamsa":26.4369}},"calendars":{"vikram_samvat":2241,"vikram_samvatsara":"Hemalambī","saka_samvat":2106,"saka_samvatsara":"Tāraṇa","bengali_samvat":1591,"malayalam_era":1360,"nanakshahi_year":715,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2241 Hemalambī · Śaka 2106 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"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, 2184 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2184 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2184-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2184-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2184-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2184-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2184-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:19:56.832Z","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":"2026-05-31T21:19:56.832Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:19:56.832Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}