{"id":"vidhyamitra:city-day:vrindavan:2057-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2057-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-12-07","date_display":"December 7, 2057 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":2057,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472704.770833,"kali_year":5159,"ahargana":1884239.2708,"sun":{"sidereal_longitude":230.1571,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.1068,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.9497,"elapsed_within_tithi_degrees":1.9497},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.1068,"elapsed_within_degrees":4.1068},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.2639},"karana":{"half_tithi_index":22,"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":2057,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472704.770833,"ahargana":1884239.2708,"kali_year":5159,"ayanamsa_lahiri":24.6623,"grahas":{"sun":{"sidereal_longitude":230.751752,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":6.30305199999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.8894},"mars":{"sidereal_longitude":241.85835199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":224.12825199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":314.138552,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":225.05515200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":4.414552000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":63.9358,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":243.9358,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"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":2057,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472704.770833,"kali_year":5159,"ahargana":1884239.2708,"sun":{"sidereal_longitude":230.1571,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.1068,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.9497,"elapsed_within_tithi_degrees":1.9497},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.1068,"elapsed_within_degrees":4.1068},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.2639},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.889,"elongation":133.95},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.889,"opposition_distance":46.05}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":-0.629,"opposition_distance":1.432},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.461,"elongation":0.834}]},"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":"06:58","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.4622568116304,"dayLengthDisplay":"10 Hours 27 Mins 44 Secs","nightLengthDisplay":"13 Hours 32 Mins 16 Secs","moonriseLocal":"14:46","moonsetLocal":"03:42","rahuKala":{"name":"Rāhu Kāla","start":"10:53","end":"12:12","startHours":10.88620295649058,"endHours":12.19398505794438,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:49","end":"16:07","startHours":14.80954926085198,"endHours":16.11733136230578,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:16","end":"09:35","startHours":8.270638753582979,"endHours":9.578420855036779,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.404049908176273,"endHours":9.752791801897287,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.398784019280447,"endHours":7.677777534257257,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:33","startHours":11.845243164223366,"endHours":12.542726951665394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:16","startHours":5.567889077245126,"endHours":6.265372864687153,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:58","startHours":6.091001917826646,"endHours":6.9628566521291795,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.937694526549446,"endHours":14.635178313991473,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22511346375958,"endHours":17.62511346375958,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42511346375958,"endHours":17.861040830910845,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17511346375958,"endHours":18.92511346375958,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:33","startHours":23.84524316422337,"endHours":24.542726951665394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:58","end":"08:16","startHours":6.9628566521291795,"endHours":8.270638753582979,"quality":"neutral"},{"name":"Labha","start":"08:16","end":"09:35","startHours":8.270638753582979,"endHours":9.578420855036779,"quality":"auspicious"},{"name":"Amṛta","start":"09:35","end":"10:53","startHours":9.578420855036779,"endHours":10.88620295649058,"quality":"auspicious"},{"name":"Kāla","start":"10:53","end":"12:12","startHours":10.88620295649058,"endHours":12.19398505794438,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:30","startHours":12.19398505794438,"endHours":13.50176715939818,"quality":"auspicious"},{"name":"Roga","start":"13:30","end":"14:49","startHours":13.50176715939818,"endHours":14.80954926085198,"quality":"inauspicious"},{"name":"Udveg","start":"14:49","end":"16:07","startHours":14.80954926085198,"endHours":16.11733136230578,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:26","startHours":16.11733136230578,"endHours":17.42511346375958,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:26","end":"19:07","startHours":17.42511346375958,"endHours":19.11733136230578,"quality":"inauspicious"},{"name":"Udveg","start":"19:07","end":"20:49","startHours":19.11733136230578,"endHours":20.80954926085198,"quality":"inauspicious"},{"name":"Chala","start":"20:49","end":"22:30","startHours":20.80954926085198,"endHours":22.501767159398177,"quality":"neutral"},{"name":"Labha","start":"22:30","end":"00:12","startHours":22.501767159398177,"endHours":24.19398505794438,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:53","startHours":24.19398505794438,"endHours":25.88620295649058,"quality":"auspicious"},{"name":"Kāla","start":"01:53","end":"03:35","startHours":25.88620295649058,"endHours":27.57842085503678,"quality":"inauspicious"},{"name":"Śubha","start":"03:35","end":"05:16","startHours":27.57842085503678,"endHours":29.27063875358298,"quality":"auspicious"},{"name":"Roga","start":"05:16","end":"06:58","startHours":29.27063875358298,"endHours":30.96285665212918,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.9628566521291795,"endHours":7.9628566521291795,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.9628566521291795,"endHours":8.96285665212918,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.96285665212918,"endHours":9.96285665212918,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.96285665212918,"endHours":10.96285665212918,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.96285665212918,"endHours":11.96285665212918,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.96285665212918,"endHours":12.96285665212918,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.96285665212918,"endHours":13.96285665212918,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.96285665212918,"endHours":14.96285665212918,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.96285665212918,"endHours":15.96285665212918,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.96285665212918,"endHours":16.96285665212918,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.96285665212918,"endHours":17.96285665212918,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.96285665212918,"endHours":18.96285665212918,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.96285665212918,"endHours":19.96285665212918,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.96285665212918,"endHours":20.96285665212918,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.96285665212918,"endHours":21.96285665212918,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.96285665212918,"endHours":22.96285665212918,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.96285665212918,"endHours":23.96285665212918,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.96285665212918,"endHours":24.96285665212918,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.96285665212918,"endHours":25.96285665212918,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.96285665212918,"endHours":26.96285665212918,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.96285665212918,"endHours":27.96285665212918,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.96285665212918,"endHours":28.96285665212918,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.96285665212918,"endHours":29.96285665212918,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.96285665212918,"endHours":30.96285665212918,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","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":-22.63839683115206,"eotMinutes":7.723696523337262,"ayanamsa":24.6623}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 7, 2057 CE · Vṛndāvana · Vidhyamitra","description":"December 7, 2057 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 06:58, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2057-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2057-12-07","sa":"https://sa.vidhyamitra.com/city/vrindavan/2057-12-07","hi":"https://hi.vidhyamitra.com/city/vrindavan/2057-12-07","x-default":"https://vidhyamitra.com/city/vrindavan/2057-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:28:57.183Z","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":"2026-06-02T18:28:57.183Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:28:57.183Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}