{"id":"vidhyamitra:city-day:vrindavan:2164-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2164-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-12-19","date_display":"December 19, 2164 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":2164,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511797.770833,"kali_year":5266,"ahargana":1923332.2708,"sun":{"sidereal_longitude":240.7277,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":303.3541,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6264,"elapsed_within_tithi_degrees":2.6264},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.3541,"elapsed_within_degrees":10.0208},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.0818},"karana":{"half_tithi_index":10,"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":2164,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511797.770833,"ahargana":1923332.2708,"kali_year":5266,"ayanamsa_lahiri":26.1574,"grahas":{"sun":{"sidereal_longitude":241.487712,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.233212,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":2.1968},"mars":{"sidereal_longitude":223.14401199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":229.93221199999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":322.34031200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":226.45611200000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":241.33971199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":152.6006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.6006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2164,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511797.770833,"kali_year":5266,"ahargana":1923332.2708,"sun":{"sidereal_longitude":240.7277,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":303.3541,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6264,"elapsed_within_tithi_degrees":2.6264},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.3541,"elapsed_within_degrees":10.0208},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.0818},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.197,"elongation":62.626},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.197,"opposition_distance":117.374}},"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":"07:05","sunsetLocal":"17:29","solarNoonLocal":"12:17","dayLengthHours":10.397823623423532,"dayLengthDisplay":"10 Hours 23 Mins 52 Secs","nightLengthDisplay":"13 Hours 36 Mins 08 Secs","moonriseLocal":"10:59","moonsetLocal":"22:21","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:35","startHours":12.28403949393119,"endHours":13.583767446859131,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:23","end":"09:41","startHours":8.384855635147366,"endHours":9.684583588075308,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:17","startHours":10.984311541003247,"endHours":12.28403949393119,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.511286527684915,"endHours":9.857880648465699,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.518370333195405,"endHours":7.795645629820032,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:38","startHours":11.937445373150405,"endHours":12.630633614711973,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.698751199096287,"endHours":6.391939440657855,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.218642380267463,"endHours":7.085127682219424,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.017010097835112,"endHours":14.71019833939668,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.282951305642957,"endHours":17.682951305642955,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.482951305642956,"endHours":17.916193956618937,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.232951305642956,"endHours":18.982951305642956,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:38","startHours":23.937445373150403,"endHours":24.630633614711975,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:05","end":"08:23","startHours":7.085127682219424,"endHours":8.384855635147366,"quality":"auspicious"},{"name":"Amṛta","start":"08:23","end":"09:41","startHours":8.384855635147366,"endHours":9.684583588075308,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"10:59","startHours":9.684583588075308,"endHours":10.984311541003247,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:17","startHours":10.984311541003247,"endHours":12.28403949393119,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:35","startHours":12.28403949393119,"endHours":13.583767446859131,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"14:53","startHours":13.583767446859131,"endHours":14.883495399787073,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:11","startHours":14.883495399787073,"endHours":16.183223352715014,"quality":"neutral"},{"name":"Labha","start":"16:11","end":"17:29","startHours":16.183223352715014,"endHours":17.482951305642956,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:11","startHours":17.482951305642956,"endHours":19.183223352715014,"quality":"inauspicious"},{"name":"Chala","start":"19:11","end":"20:53","startHours":19.183223352715014,"endHours":20.883495399787073,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:35","startHours":20.883495399787073,"endHours":22.58376744685913,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"00:17","startHours":22.58376744685913,"endHours":24.28403949393119,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:59","startHours":24.28403949393119,"endHours":25.98431154100325,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:41","startHours":25.98431154100325,"endHours":27.684583588075306,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:23","startHours":27.684583588075306,"endHours":29.384855635147368,"quality":"inauspicious"},{"name":"Udveg","start":"05:23","end":"07:05","startHours":29.384855635147368,"endHours":31.085127682219422,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.085127682219424,"endHours":8.085127682219424,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.085127682219424,"endHours":9.085127682219424,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.085127682219424,"endHours":10.085127682219424,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.085127682219424,"endHours":11.085127682219424,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.085127682219424,"endHours":12.085127682219424,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.085127682219424,"endHours":13.085127682219424,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.085127682219424,"endHours":14.085127682219424,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.085127682219424,"endHours":15.085127682219424,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.085127682219424,"endHours":16.085127682219422,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.085127682219422,"endHours":17.085127682219422,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.085127682219422,"endHours":18.085127682219422,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.085127682219422,"endHours":19.085127682219422,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.085127682219422,"endHours":20.085127682219422,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.085127682219422,"endHours":21.085127682219422,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.085127682219422,"endHours":22.085127682219422,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.085127682219422,"endHours":23.085127682219422,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.085127682219422,"endHours":24.085127682219422,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.085127682219422,"endHours":25.085127682219422,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.085127682219422,"endHours":26.085127682219422,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.085127682219422,"endHours":27.085127682219422,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.085127682219422,"endHours":28.085127682219422,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.085127682219422,"endHours":29.085127682219422,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.085127682219422,"endHours":30.085127682219422,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.085127682219422,"endHours":31.085127682219422,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":-23.41552622595763,"eotMinutes":2.3204303641286352,"ayanamsa":26.1574}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"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 Ṣaṣṭhī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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 19, 2164 CE · Vṛndāvana · Vidhyamitra","description":"December 19, 2164 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 07:05, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2164-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2164-12-19","sa":"https://sa.vidhyamitra.com/city/vrindavan/2164-12-19","hi":"https://hi.vidhyamitra.com/city/vrindavan/2164-12-19","x-default":"https://vidhyamitra.com/city/vrindavan/2164-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:17:04.508Z","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":"2026-06-02T12:17:04.508Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:17:04.508Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}