{"id":"vidhyamitra:city-day:vrindavan:2176-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2176-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-12-15","date_display":"December 15, 2176 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":2176,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516176.770833,"kali_year":5278,"ahargana":1927711.2708,"sun":{"sidereal_longitude":236.5165,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.2256,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.7092,"elapsed_within_tithi_degrees":7.7092},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.2256,"elapsed_within_degrees":0.2256},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.7421},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":2176,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516176.770833,"ahargana":1927711.2708,"kali_year":5278,"ayanamsa_lahiri":26.3249,"grahas":{"sun":{"sidereal_longitude":237.341002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":40.55350199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":3.91},"mars":{"sidereal_longitude":323.39340200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":213.92420199999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":325.5830020000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":280.62340199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":20.080201999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":280.5801,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.5801,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":2176,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516176.770833,"kali_year":5278,"ahargana":1927711.2708,"sun":{"sidereal_longitude":236.5165,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.2256,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.7092,"elapsed_within_tithi_degrees":7.7092},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.2256,"elapsed_within_degrees":0.2256},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.7421},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.91,"elongation":163.709},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.91,"opposition_distance":16.291}},"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":"07:03","sunsetLocal":"17:27","solarNoonLocal":"12:15","dayLengthHours":10.408707016908522,"dayLengthDisplay":"10 Hours 24 Mins 31 Secs","nightLengthDisplay":"13 Hours 35 Mins 29 Secs","moonriseLocal":"16:18","moonsetLocal":"05:58","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.156346214114492,"endHours":17.457434591228058,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:33","startHours":12.253081082773797,"endHours":13.554169459887362,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.855257837000927,"endHours":16.156346214114492,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.477425878264857,"endHours":9.824382778828474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.482423700024056,"endHours":7.75998922047495,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.90612418221018,"endHours":12.600037983337414,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:21","startHours":5.6608999720650655,"endHours":6.3548137731923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.181335322910491,"endHours":7.048727574319535,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.987865585591884,"endHours":14.681779386719118,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25743459122806,"endHours":17.657434591228057,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.457434591228058,"endHours":17.89113071693258,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.207434591228058,"endHours":18.957434591228058,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.906124182210178,"endHours":24.600037983337415,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:03","end":"08:21","startHours":7.048727574319535,"endHours":8.3498159514331,"quality":"inauspicious"},{"name":"Chala","start":"08:21","end":"09:39","startHours":8.3498159514331,"endHours":9.650904328546666,"quality":"neutral"},{"name":"Labha","start":"09:39","end":"10:57","startHours":9.650904328546666,"endHours":10.951992705660231,"quality":"auspicious"},{"name":"Amṛta","start":"10:57","end":"12:15","startHours":10.951992705660231,"endHours":12.253081082773797,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:33","startHours":12.253081082773797,"endHours":13.554169459887362,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"14:51","startHours":13.554169459887362,"endHours":14.855257837000927,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.855257837000927,"endHours":16.156346214114492,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.156346214114492,"endHours":17.457434591228058,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.457434591228058,"endHours":19.156346214114492,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.156346214114492,"endHours":20.855257837000927,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:33","startHours":20.855257837000927,"endHours":22.554169459887362,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:15","startHours":22.554169459887362,"endHours":24.253081082773797,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:57","startHours":24.253081082773797,"endHours":25.95199270566023,"quality":"auspicious"},{"name":"Amṛta","start":"01:57","end":"03:39","startHours":25.95199270566023,"endHours":27.650904328546666,"quality":"auspicious"},{"name":"Kāla","start":"03:39","end":"05:21","startHours":27.650904328546666,"endHours":29.3498159514331,"quality":"inauspicious"},{"name":"Śubha","start":"05:21","end":"07:03","startHours":29.3498159514331,"endHours":31.048727574319535,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.048727574319535,"endHours":8.048727574319535,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.048727574319535,"endHours":9.048727574319535,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.048727574319535,"endHours":10.048727574319535,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.048727574319535,"endHours":11.048727574319535,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.048727574319535,"endHours":12.048727574319535,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.048727574319535,"endHours":13.048727574319535,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.048727574319535,"endHours":14.048727574319535,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.048727574319535,"endHours":15.048727574319535,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.048727574319535,"endHours":16.048727574319535,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.048727574319535,"endHours":17.048727574319535,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.048727574319535,"endHours":18.048727574319535,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.048727574319535,"endHours":19.048727574319535,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.048727574319535,"endHours":20.048727574319535,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.048727574319535,"endHours":21.048727574319535,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.048727574319535,"endHours":22.048727574319535,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.048727574319535,"endHours":23.048727574319535,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.048727574319535,"endHours":24.048727574319535,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.048727574319535,"endHours":25.048727574319535,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.048727574319535,"endHours":26.048727574319535,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.048727574319535,"endHours":27.048727574319535,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.048727574319535,"endHours":28.048727574319535,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.048727574319535,"endHours":29.048727574319535,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.048727574319535,"endHours":30.048727574319535,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.048727574319535,"endHours":31.048727574319535,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","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":-23.28496586429972,"eotMinutes":4.177935033572184,"ayanamsa":26.3249}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"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 Caturdaśī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"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":[{"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 15, 2176 CE · Vṛndāvana · Vidhyamitra","description":"December 15, 2176 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 07:03, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2176-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2176-12-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2176-12-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2176-12-15","x-default":"https://vidhyamitra.com/city/vrindavan/2176-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:01:30.775Z","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":"2026-06-01T06:01:30.775Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:01:30.775Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}