{"id":"vidhyamitra:city-day:vrindavan:2159-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2159-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-14","date_display":"December 14, 2159 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":2159,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509965.770833,"kali_year":5261,"ahargana":1921500.2708,"sun":{"sidereal_longitude":234.8751,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":285.0776,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.2025,"elapsed_within_tithi_degrees":2.2025},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.0776,"elapsed_within_degrees":5.0776},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.9528},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2159,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509965.770833,"ahargana":1921500.2708,"kali_year":5261,"ayanamsa_lahiri":26.0874,"grahas":{"sun":{"sidereal_longitude":235.67320700000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":281.849607,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":2.6056},"mars":{"sidereal_longitude":307.79010700000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":239.49690699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":188.69710699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":201.048407,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":189.429707,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":249.6687,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.6687,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509965.770833,"kali_year":5261,"ahargana":1921500.2708,"sun":{"sidereal_longitude":234.8751,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":285.0776,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.2025,"elapsed_within_tithi_degrees":2.2025},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.0776,"elapsed_within_degrees":5.0776},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.9528},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.606,"elongation":50.203},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.606,"opposition_distance":129.797}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":10.417408505700212,"dayLengthDisplay":"10 Hours 25 Mins 03 Secs","nightLengthDisplay":"13 Hours 34 Mins 57 Secs","moonriseLocal":"09:56","moonsetLocal":"20:43","rahuKala":{"name":"Rāhu Kāla","start":"10:57","end":"12:15","startHours":10.943270773886951,"endHours":12.245446837099479,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:51","end":"16:09","startHours":14.849798963524531,"endHours":16.15197502673706,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:20","end":"09:38","startHours":8.338918647461899,"endHours":9.641094710674425,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.46747123557942,"endHours":9.81471818576943,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.470801271986881,"endHours":7.748598832138886,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.89819988690947,"endHours":12.592693787289484,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.647754783489344,"endHours":6.342248683869357,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.168625208774354,"endHours":7.036742584249372,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.981681588049513,"endHours":14.676175488429527,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.254151089949584,"endHours":17.654151089949583,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.454151089949583,"endHours":17.88820977768709,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.204151089949583,"endHours":18.954151089949583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.89819988690947,"endHours":24.592693787289488,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:02","end":"08:20","startHours":7.036742584249372,"endHours":8.338918647461899,"quality":"neutral"},{"name":"Labha","start":"08:20","end":"09:38","startHours":8.338918647461899,"endHours":9.641094710674425,"quality":"auspicious"},{"name":"Amṛta","start":"09:38","end":"10:57","startHours":9.641094710674425,"endHours":10.943270773886951,"quality":"auspicious"},{"name":"Kāla","start":"10:57","end":"12:15","startHours":10.943270773886951,"endHours":12.245446837099479,"quality":"inauspicious"},{"name":"Śubha","start":"12:15","end":"13:33","startHours":12.245446837099479,"endHours":13.547622900312003,"quality":"auspicious"},{"name":"Roga","start":"13:33","end":"14:51","startHours":13.547622900312003,"endHours":14.849798963524531,"quality":"inauspicious"},{"name":"Udveg","start":"14:51","end":"16:09","startHours":14.849798963524531,"endHours":16.15197502673706,"quality":"inauspicious"},{"name":"Chala","start":"16:09","end":"17:27","startHours":16.15197502673706,"endHours":17.454151089949583,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:27","end":"19:09","startHours":17.454151089949583,"endHours":19.151975026737055,"quality":"inauspicious"},{"name":"Udveg","start":"19:09","end":"20:51","startHours":19.151975026737055,"endHours":20.84979896352453,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:33","startHours":20.84979896352453,"endHours":22.547622900312003,"quality":"neutral"},{"name":"Labha","start":"22:33","end":"00:15","startHours":22.547622900312003,"endHours":24.24544683709948,"quality":"auspicious"},{"name":"Amṛta","start":"00:15","end":"01:57","startHours":24.24544683709948,"endHours":25.94327077388695,"quality":"auspicious"},{"name":"Kāla","start":"01:57","end":"03:38","startHours":25.94327077388695,"endHours":27.641094710674423,"quality":"inauspicious"},{"name":"Śubha","start":"03:38","end":"05:20","startHours":27.641094710674423,"endHours":29.338918647461895,"quality":"auspicious"},{"name":"Roga","start":"05:20","end":"07:02","startHours":29.338918647461895,"endHours":31.03674258424937,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.036742584249372,"endHours":8.036742584249371,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.036742584249371,"endHours":9.036742584249371,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.036742584249371,"endHours":10.036742584249371,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.036742584249371,"endHours":11.036742584249371,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.036742584249371,"endHours":12.036742584249371,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.036742584249371,"endHours":13.036742584249371,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.036742584249371,"endHours":14.036742584249371,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.036742584249371,"endHours":15.036742584249371,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.036742584249371,"endHours":16.03674258424937,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.03674258424937,"endHours":17.03674258424937,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.03674258424937,"endHours":18.03674258424937,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.03674258424937,"endHours":19.03674258424937,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.03674258424937,"endHours":20.03674258424937,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.03674258424937,"endHours":21.03674258424937,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.03674258424937,"endHours":22.03674258424937,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.03674258424937,"endHours":23.03674258424937,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.03674258424937,"endHours":24.03674258424937,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.03674258424937,"endHours":25.03674258424937,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.03674258424937,"endHours":26.03674258424937,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.03674258424937,"endHours":27.03674258424937,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.03674258424937,"endHours":28.03674258424937,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.03674258424937,"endHours":29.03674258424937,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.03674258424937,"endHours":30.03674258424937,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.03674258424937,"endHours":31.03674258424937,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.180373571911257,"eotMinutes":4.63598977403141,"ayanamsa":26.0874}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pañcamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 2159 CE · Vṛndāvana · Vidhyamitra","description":"December 14, 2159 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2159-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2159-12-14","sa":"https://sa.vidhyamitra.com/city/vrindavan/2159-12-14","hi":"https://hi.vidhyamitra.com/city/vrindavan/2159-12-14","x-default":"https://vidhyamitra.com/city/vrindavan/2159-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T11:35:08.914Z","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":"2026-05-27T11:35:08.914Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T11:35:08.914Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}