{"id":"vidhyamitra:city-day:vrindavan:2104-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2104-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-12-14","date_display":"December 14, 2104 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":2104,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489877.770833,"kali_year":5206,"ahargana":1901412.2708,"sun":{"sidereal_longitude":236.1376,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":195.4505,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.313,"elapsed_within_tithi_degrees":7.313},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.4505,"elapsed_within_degrees":8.7839},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.5881},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2104,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489877.770833,"ahargana":1901412.2708,"kali_year":5206,"ayanamsa_lahiri":25.3191,"grahas":{"sun":{"sidereal_longitude":236.794217,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":197.65481699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":-2.8043},"mars":{"sidereal_longitude":243.09981700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":215.879817,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":301.03851699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":282.521117,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":230.28961700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":234.0277,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.0277,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"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":2104,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489877.770833,"kali_year":5206,"ahargana":1901412.2708,"sun":{"sidereal_longitude":236.1376,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":195.4505,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.313,"elapsed_within_tithi_degrees":7.313},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.4505,"elapsed_within_degrees":8.7839},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.5881},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.804,"elongation":40.687},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.804,"opposition_distance":139.313}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":0.94,"opposition_distance":1.264}]},"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":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:15","dayLengthHours":10.415628864621848,"dayLengthDisplay":"10 Hours 24 Mins 56 Secs","nightLengthDisplay":"13 Hours 35 Mins 04 Secs","moonriseLocal":"04:09","moonsetLocal":"15:07","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.15130766133267,"endHours":17.4532612694104,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:33","startHours":12.245446837099475,"endHours":13.547400445177207,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.849354053254938,"endHours":16.15130766133267,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.467945806533649,"endHours":9.815133435354378,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.471616940814463,"endHours":7.749367043871046,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.898259208278748,"endHours":12.592634465920206,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.648881889505639,"endHours":6.343257147147096,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.169663332736731,"endHours":7.037632404788552,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.981384981203117,"endHours":14.675760238844573,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.2532612694104,"endHours":17.6532612694104,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.4532612694104,"endHours":17.88724580543631,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.2032612694104,"endHours":18.9532612694104,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.898259208278752,"endHours":24.592634465920206,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:02","end":"08:20","startHours":7.037632404788552,"endHours":8.339586012866283,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.339586012866283,"endHours":9.641539620944014,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:57","startHours":9.641539620944014,"endHours":10.943493229021746,"quality":"auspicious"},{"name":"Amṛta","start":"10:57","end":"12:15","startHours":10.943493229021746,"endHours":12.245446837099475,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:33","startHours":12.245446837099475,"endHours":13.547400445177207,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"14:51","startHours":13.547400445177207,"endHours":14.849354053254938,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.849354053254938,"endHours":16.15130766133267,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.15130766133267,"endHours":17.4532612694104,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.4532612694104,"endHours":19.15130766133267,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.15130766133267,"endHours":20.849354053254938,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:33","startHours":20.849354053254938,"endHours":22.54740044517721,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:15","startHours":22.54740044517721,"endHours":24.24544683709948,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:57","startHours":24.24544683709948,"endHours":25.943493229021747,"quality":"auspicious"},{"name":"Amṛta","start":"01:57","end":"03:38","startHours":25.943493229021747,"endHours":27.641539620944016,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.641539620944016,"endHours":29.339586012866285,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:02","startHours":29.339586012866285,"endHours":31.037632404788553,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.037632404788552,"endHours":8.037632404788553,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.037632404788553,"endHours":9.037632404788553,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.037632404788553,"endHours":10.037632404788553,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.037632404788553,"endHours":11.037632404788553,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.037632404788553,"endHours":12.037632404788553,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.037632404788553,"endHours":13.037632404788553,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.037632404788553,"endHours":14.037632404788553,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.037632404788553,"endHours":15.037632404788553,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.037632404788553,"endHours":16.037632404788553,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.037632404788553,"endHours":17.037632404788553,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.037632404788553,"endHours":18.037632404788553,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.037632404788553,"endHours":19.037632404788553,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.037632404788553,"endHours":20.037632404788553,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.037632404788553,"endHours":21.037632404788553,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.037632404788553,"endHours":22.037632404788553,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.037632404788553,"endHours":23.037632404788553,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.037632404788553,"endHours":24.037632404788553,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.037632404788553,"endHours":25.037632404788553,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.037632404788553,"endHours":26.037632404788553,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.037632404788553,"endHours":27.037632404788553,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.037632404788553,"endHours":28.037632404788553,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.037632404788553,"endHours":29.037632404788553,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.037632404788553,"endHours":30.037632404788553,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.037632404788553,"endHours":31.037632404788553,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","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":-23.201779859104114,"eotMinutes":4.63598977403141,"ayanamsa":25.3191}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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":"Mārgaśīrṣa Kṛṣṇa Dvādaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"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 14, 2104 CE · Vṛndāvana · Vidhyamitra","description":"December 14, 2104 CE for Vṛndāvana: Kṛṣṇa Dvādaśī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2104-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2104-12-14","sa":"https://sa.vidhyamitra.com/city/vrindavan/2104-12-14","hi":"https://hi.vidhyamitra.com/city/vrindavan/2104-12-14","x-default":"https://vidhyamitra.com/city/vrindavan/2104-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:13:49.832Z","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":"2026-06-02T06:13:49.832Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:13:49.832Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}