{"id":"vidhyamitra:city-day:vrindavan:2116-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-12-20","date_display":"December 20, 2116 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":2116,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494266.770833,"kali_year":5218,"ahargana":1905801.2708,"sun":{"sidereal_longitude":242.1857,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.3087,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.1231,"elapsed_within_tithi_degrees":0.1231},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.3087,"elapsed_within_degrees":8.9754},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.4944},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":2116,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494266.770833,"ahargana":1905801.2708,"kali_year":5218,"ayanamsa_lahiri":25.4869,"grahas":{"sun":{"sidereal_longitude":242.819025,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":64.33032500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":3.9284},"mars":{"sidereal_longitude":26.819225000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":221.48732500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":305.2614249999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":225.02202499999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":4.960924999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":1.4773,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":181.4773,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2116,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494266.770833,"kali_year":5218,"ahargana":1905801.2708,"sun":{"sidereal_longitude":242.1857,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.3087,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.1231,"elapsed_within_tithi_degrees":0.1231},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.3087,"elapsed_within_degrees":8.9754},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.4944},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.928,"elongation":179.877},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.928,"opposition_distance":0.123}},"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":10.396979165440243,"dayLengthDisplay":"10 Hours 23 Mins 49 Secs","nightLengthDisplay":"13 Hours 36 Mins 11 Secs","moonriseLocal":"17:28","moonsetLocal":"07:19","rahuKala":{"name":"Rāhu Kāla","start":"16:11","end":"17:29","startHours":16.19071522833228,"endHours":17.49033762401231,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.59147043697222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:53","end":"16:11","startHours":14.891092832652248,"endHours":16.19071522833228,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519320263841458,"endHours":9.8658862360228,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526565923798744,"endHours":7.803818701543817,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945282069110846,"endHours":12.638414013473529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.707094569846701,"endHours":6.400226514209384,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.2269435281187135,"endHours":7.093358458572067,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024677902198896,"endHours":14.717809846561579,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.29033762401231,"endHours":17.690337624012308,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.49033762401231,"endHours":17.923545089238985,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.24033762401231,"endHours":18.99033762401231,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.945282069110846,"endHours":24.63841401347353,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:06","end":"08:24","startHours":7.093358458572067,"endHours":8.392980854252098,"quality":"inauspicious"},{"name":"Chala","start":"08:24","end":"09:42","startHours":8.392980854252098,"endHours":9.692603249932127,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"11:00","startHours":9.692603249932127,"endHours":10.992225645612159,"quality":"auspicious"},{"name":"Amṛta","start":"11:00","end":"12:18","startHours":10.992225645612159,"endHours":12.291848041292187,"quality":"auspicious"},{"name":"Kāla","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.59147043697222,"quality":"inauspicious"},{"name":"Śubha","start":"13:35","end":"14:53","startHours":13.59147043697222,"endHours":14.891092832652248,"quality":"auspicious"},{"name":"Roga","start":"14:53","end":"16:11","startHours":14.891092832652248,"endHours":16.19071522833228,"quality":"inauspicious"},{"name":"Udveg","start":"16:11","end":"17:29","startHours":16.19071522833228,"endHours":17.49033762401231,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:29","end":"19:11","startHours":17.49033762401231,"endHours":19.19071522833228,"quality":"auspicious"},{"name":"Roga","start":"19:11","end":"20:53","startHours":19.19071522833228,"endHours":20.891092832652248,"quality":"inauspicious"},{"name":"Udveg","start":"20:53","end":"22:35","startHours":20.891092832652248,"endHours":22.591470436972216,"quality":"inauspicious"},{"name":"Chala","start":"22:35","end":"00:18","startHours":22.591470436972216,"endHours":24.291848041292187,"quality":"neutral"},{"name":"Labha","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.99222564561216,"quality":"auspicious"},{"name":"Amṛta","start":"02:00","end":"03:42","startHours":25.99222564561216,"endHours":27.692603249932127,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:24","startHours":27.692603249932127,"endHours":29.392980854252095,"quality":"inauspicious"},{"name":"Śubha","start":"05:24","end":"07:06","startHours":29.392980854252095,"endHours":31.093358458572066,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093358458572067,"endHours":8.093358458572066,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093358458572066,"endHours":9.093358458572066,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093358458572066,"endHours":10.093358458572066,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093358458572066,"endHours":11.093358458572066,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093358458572066,"endHours":12.093358458572066,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093358458572066,"endHours":13.093358458572066,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093358458572066,"endHours":14.093358458572066,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093358458572066,"endHours":15.093358458572066,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093358458572066,"endHours":16.093358458572066,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.093358458572066,"endHours":17.093358458572066,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.093358458572066,"endHours":18.093358458572066,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.093358458572066,"endHours":19.093358458572066,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.093358458572066,"endHours":20.093358458572066,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.093358458572066,"endHours":21.093358458572066,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.093358458572066,"endHours":22.093358458572066,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.093358458572066,"endHours":23.093358458572066,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.093358458572066,"endHours":24.093358458572066,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.093358458572066,"endHours":25.093358458572066,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.093358458572066,"endHours":26.093358458572066,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.093358458572066,"endHours":27.093358458572066,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.093358458572066,"endHours":28.093358458572066,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.093358458572066,"endHours":29.093358458572066,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.093358458572066,"endHours":30.093358458572066,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.093358458572066,"endHours":31.093358458572066,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":-23.42564455948464,"eotMinutes":1.851917522468745,"ayanamsa":25.4869}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"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 Pratipada · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"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":[]},"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, 2116 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2116 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2116-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:16:23.787Z","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":"2026-06-01T14:16:23.787Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:16:23.787Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}