{"id":"vidhyamitra:city-day:vrindavan:2164-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2164-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-12-26","date_display":"December 26, 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":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511804.770833,"kali_year":5266,"ahargana":1923339.2708,"sun":{"sidereal_longitude":247.9169,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.3602,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.4433,"elapsed_within_tithi_degrees":8.4433},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3602,"elapsed_within_degrees":0.3602},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.277},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511804.770833,"ahargana":1923339.2708,"kali_year":5266,"ayanamsa_lahiri":26.1577,"grahas":{"sun":{"sidereal_longitude":248.61364400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":40.917643999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.1756},"mars":{"sidereal_longitude":228.16554399999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.86494399999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":323.2118439999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":235.25464399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":242.16564399999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":152.2297,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.2297,"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":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511804.770833,"kali_year":5266,"ahargana":1923339.2708,"sun":{"sidereal_longitude":247.9169,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.3602,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.4433,"elapsed_within_tithi_degrees":8.4433},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3602,"elapsed_within_degrees":0.3602},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.277},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.176,"elongation":152.443},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.176,"opposition_distance":27.557}},"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":"07:08","sunsetLocal":"17:32","solarNoonLocal":"12:20","dayLengthHours":10.403250821439677,"dayLengthDisplay":"10 Hours 24 Mins 12 Secs","nightLengthDisplay":"13 Hours 35 Mins 48 Secs","moonriseLocal":"15:39","moonsetLocal":"05:20","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"13:38","startHours":12.338713538840405,"endHours":13.639119891520366,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"09:44","startHours":8.437494480800527,"endHours":9.737900833480488,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:02","end":"12:20","startHours":11.038307186160447,"endHours":12.338713538840405,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:55","startHours":9.564513319789825,"endHours":9.911288347171148,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.570556912347221,"endHours":7.847976934252279,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.991938511459082,"endHours":12.685488566221728,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.749988018595277,"endHours":6.443538073357923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:08","startHours":6.270150559667261,"endHours":7.137088128120568,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:46","startHours":14.072588675747019,"endHours":14.766138730509663,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.340338949560245,"endHours":17.740338949560243,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.540338949560244,"endHours":17.9738077337869,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.290338949560244,"endHours":19.040338949560244,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.991938511459082,"endHours":24.68548856622173,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:08","end":"08:26","startHours":7.137088128120568,"endHours":8.437494480800527,"quality":"auspicious"},{"name":"Amṛta","start":"08:26","end":"09:44","startHours":8.437494480800527,"endHours":9.737900833480488,"quality":"auspicious"},{"name":"Kāla","start":"09:44","end":"11:02","startHours":9.737900833480488,"endHours":11.038307186160447,"quality":"inauspicious"},{"name":"Śubha","start":"11:02","end":"12:20","startHours":11.038307186160447,"endHours":12.338713538840405,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"13:38","startHours":12.338713538840405,"endHours":13.639119891520366,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:56","startHours":13.639119891520366,"endHours":14.939526244200326,"quality":"inauspicious"},{"name":"Chala","start":"14:56","end":"16:14","startHours":14.939526244200326,"endHours":16.239932596880283,"quality":"neutral"},{"name":"Labha","start":"16:14","end":"17:32","startHours":16.239932596880283,"endHours":17.540338949560244,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:32","end":"19:14","startHours":17.540338949560244,"endHours":19.239932596880283,"quality":"inauspicious"},{"name":"Chala","start":"19:14","end":"20:56","startHours":19.239932596880283,"endHours":20.939526244200323,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:38","startHours":20.939526244200323,"endHours":22.639119891520366,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:20","startHours":22.639119891520366,"endHours":24.338713538840405,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"02:02","startHours":24.338713538840405,"endHours":26.038307186160445,"quality":"inauspicious"},{"name":"Śubha","start":"02:02","end":"03:44","startHours":26.038307186160445,"endHours":27.737900833480488,"quality":"auspicious"},{"name":"Roga","start":"03:44","end":"05:26","startHours":27.737900833480488,"endHours":29.437494480800527,"quality":"inauspicious"},{"name":"Udveg","start":"05:26","end":"07:08","startHours":29.437494480800527,"endHours":31.137088128120567,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.137088128120568,"endHours":8.137088128120567,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.137088128120567,"endHours":9.137088128120567,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.137088128120567,"endHours":10.137088128120567,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.137088128120567,"endHours":11.137088128120567,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.137088128120567,"endHours":12.137088128120567,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.137088128120567,"endHours":13.137088128120567,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.137088128120567,"endHours":14.137088128120567,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.137088128120567,"endHours":15.137088128120567,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.137088128120567,"endHours":16.137088128120567,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.137088128120567,"endHours":17.137088128120567,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.137088128120567,"endHours":18.137088128120567,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.137088128120567,"endHours":19.137088128120567,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.137088128120567,"endHours":20.137088128120567,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.137088128120567,"endHours":21.137088128120567,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.137088128120567,"endHours":22.137088128120567,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.137088128120567,"endHours":23.137088128120567,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.137088128120567,"endHours":24.137088128120567,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.137088128120567,"endHours":25.137088128120567,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.137088128120567,"endHours":26.137088128120567,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.137088128120567,"endHours":27.137088128120567,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.137088128120567,"endHours":28.137088128120567,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.137088128120567,"endHours":29.137088128120567,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.137088128120567,"endHours":30.137088128120567,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.137088128120567,"endHours":31.137088128120567,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.350455930544047,"eotMinutes":-0.9600123304242594,"ayanamsa":26.1577}},"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 Trayodaśī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"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}]},"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 26, 2164 CE · Vṛndāvana · Vidhyamitra","description":"December 26, 2164 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 07:08, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2164-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2164-12-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/2164-12-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/2164-12-26","x-default":"https://vidhyamitra.com/city/vrindavan/2164-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:33:17.259Z","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":"2026-06-03T07:33:17.259Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:33:17.259Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}