{"id":"vidhyamitra:city-day:vrindavan:2133-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2133-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2133-12-16","date_display":"December 16, 2133 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":2133,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500471.770833,"kali_year":5235,"ahargana":1912006.2708,"sun":{"sidereal_longitude":237.6717,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":106.6031,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.9314,"elapsed_within_tithi_degrees":0.9314},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":106.6031,"elapsed_within_degrees":13.2697},"yoga":{"number":26,"name":"Indra","sum_longitude":344.2748},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2133,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2500471.770833,"ahargana":1912006.2708,"kali_year":5235,"ayanamsa_lahiri":25.7243,"grahas":{"sun":{"sidereal_longitude":238.38384799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":110.344648,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":4.3231},"mars":{"sidereal_longitude":63.77994799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":247.51414799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":127.92764799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":221.042548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.999548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":32.7066,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.7066,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2133,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500471.770833,"kali_year":5235,"ahargana":1912006.2708,"sun":{"sidereal_longitude":237.6717,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":106.6031,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.9314,"elapsed_within_tithi_degrees":0.9314},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":106.6031,"elapsed_within_degrees":13.2697},"yoga":{"number":26,"name":"Indra","sum_longitude":344.2748},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.323,"elongation":131.069},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.323,"opposition_distance":48.931}},"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":"07:03","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.407008618533013,"dayLengthDisplay":"10 Hours 24 Mins 25 Secs","nightLengthDisplay":"13 Hours 35 Mins 35 Secs","moonriseLocal":"21:06","moonsetLocal":"10:21","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:34","startHours":12.260764719547126,"endHours":13.561640796863752,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:21","end":"09:40","startHours":8.358136487597246,"endHours":9.659012564913873,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:58","end":"12:16","startHours":10.9598886422305,"endHours":12.260764719547126,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.485562421271656,"endHours":9.83246270855609,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.490885769386162,"endHours":7.76840599921371,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.913864432262692,"endHours":12.60766500683156,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:22","startHours":5.669659261142885,"endHours":6.363459835711753,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.190009692069536,"endHours":7.0572604102806205,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:41","startHours":13.995266155969295,"endHours":14.689066730538162,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.264269028813633,"endHours":17.66426902881363,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.464269028813632,"endHours":17.897894387919173,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.214269028813632,"endHours":18.964269028813632,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.91386443226269,"endHours":24.60766500683156,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:03","end":"08:21","startHours":7.0572604102806205,"endHours":8.358136487597246,"quality":"auspicious"},{"name":"Amṛta","start":"08:21","end":"09:40","startHours":8.358136487597246,"endHours":9.659012564913873,"quality":"auspicious"},{"name":"Kāla","start":"09:40","end":"10:58","startHours":9.659012564913873,"endHours":10.9598886422305,"quality":"inauspicious"},{"name":"Śubha","start":"10:58","end":"12:16","startHours":10.9598886422305,"endHours":12.260764719547126,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:34","startHours":12.260764719547126,"endHours":13.561640796863752,"quality":"inauspicious"},{"name":"Udveg","start":"13:34","end":"14:52","startHours":13.561640796863752,"endHours":14.862516874180379,"quality":"inauspicious"},{"name":"Chala","start":"14:52","end":"16:10","startHours":14.862516874180379,"endHours":16.163392951497006,"quality":"neutral"},{"name":"Labha","start":"16:10","end":"17:28","startHours":16.163392951497006,"endHours":17.464269028813632,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:28","end":"19:10","startHours":17.464269028813632,"endHours":19.163392951497006,"quality":"inauspicious"},{"name":"Chala","start":"19:10","end":"20:52","startHours":19.163392951497006,"endHours":20.86251687418038,"quality":"neutral"},{"name":"Labha","start":"20:52","end":"22:34","startHours":20.86251687418038,"endHours":22.561640796863752,"quality":"auspicious"},{"name":"Amṛta","start":"22:34","end":"00:16","startHours":22.561640796863752,"endHours":24.260764719547126,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:58","startHours":24.260764719547126,"endHours":25.9598886422305,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"03:40","startHours":25.9598886422305,"endHours":27.659012564913873,"quality":"auspicious"},{"name":"Roga","start":"03:40","end":"05:21","startHours":27.659012564913873,"endHours":29.358136487597246,"quality":"inauspicious"},{"name":"Udveg","start":"05:21","end":"07:03","startHours":29.358136487597246,"endHours":31.05726041028062,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.0572604102806205,"endHours":8.05726041028062,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.05726041028062,"endHours":9.05726041028062,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.05726041028062,"endHours":10.05726041028062,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.05726041028062,"endHours":11.05726041028062,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.05726041028062,"endHours":12.05726041028062,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.05726041028062,"endHours":13.05726041028062,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.05726041028062,"endHours":14.05726041028062,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.05726041028062,"endHours":15.05726041028062,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.05726041028062,"endHours":16.05726041028062,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.05726041028062,"endHours":17.05726041028062,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.05726041028062,"endHours":18.05726041028062,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.05726041028062,"endHours":19.05726041028062,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.05726041028062,"endHours":20.05726041028062,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.05726041028062,"endHours":21.05726041028062,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.05726041028062,"endHours":22.05726041028062,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.05726041028062,"endHours":23.05726041028062,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.05726041028062,"endHours":24.05726041028062,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.05726041028062,"endHours":25.05726041028062,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.05726041028062,"endHours":26.05726041028062,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.05726041028062,"endHours":27.05726041028062,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.05726041028062,"endHours":28.05726041028062,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.05726041028062,"endHours":29.05726041028062,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.05726041028062,"endHours":30.05726041028062,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.05726041028062,"endHours":31.05726041028062,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.305359282146675,"eotMinutes":3.716916827172506,"ayanamsa":25.7243}},"calendars":{"vikram_samvat":2190,"vikram_samvatsara":"Parābhava","saka_samvat":2055,"saka_samvatsara":"Vijaya","bengali_samvat":1540,"malayalam_era":1309,"nanakshahi_year":664,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2190 Parābhava · Śaka 2055 Vijaya"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 16, 2133 CE · Vṛndāvana · Vidhyamitra","description":"December 16, 2133 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 07:03, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2133-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2133-12-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2133-12-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2133-12-16","x-default":"https://vidhyamitra.com/city/vrindavan/2133-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:25:39.815Z","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":"2026-05-31T17:25:39.815Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:25:39.815Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}