{"id":"vidhyamitra:city-day:vrindavan:2032-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2032-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2032-12-13","date_display":"December 13, 2032 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":2032,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463579.770833,"kali_year":5134,"ahargana":1875114.2708,"sun":{"sidereal_longitude":236.784,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.6424,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.8584,"elapsed_within_tithi_degrees":0.8584},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.6424,"elapsed_within_degrees":9.6424},"yoga":{"number":19,"name":"Parigha","sum_longitude":246.4264},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2032,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463579.770833,"ahargana":1875114.2708,"kali_year":5134,"ayanamsa_lahiri":24.3133,"grahas":{"sun":{"sidereal_longitude":237.264994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":9.395794000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-0.1741},"mars":{"sidereal_longitude":182.37799399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":220.18739400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":277.93239400000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":282.23529400000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":70.10019399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":187.4222,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.4222,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2032,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463579.770833,"kali_year":5134,"ahargana":1875114.2708,"sun":{"sidereal_longitude":236.784,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.6424,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.8584,"elapsed_within_tithi_degrees":0.8584},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.6424,"elapsed_within_degrees":9.6424},"yoga":{"number":19,"name":"Parigha","sum_longitude":246.4264},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.174,"elongation":132.858},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.174,"opposition_distance":47.142}},"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":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.418358319235931,"dayLengthDisplay":"10 Hours 25 Mins 06 Secs","nightLengthDisplay":"13 Hours 34 Mins 54 Secs","moonriseLocal":"14:33","moonsetLocal":"03:33","rahuKala":{"name":"Rāhu Kāla","start":"08:20","end":"09:38","startHours":8.330984792796222,"endHours":9.633279582700714,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"12:14","startHours":10.935574372605206,"endHours":12.237869162509696,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"14:51","startHours":13.54016395241419,"endHours":14.84245874231868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.459640277380116,"endHours":9.806918888021313,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.462788266193229,"endHours":7.740611154706187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.8905905518685,"endHours":12.585147773150895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.639575560326941,"endHours":6.334132781609336,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.160493476288737,"endHours":7.028690002891731,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974262215715687,"endHours":14.668819436998081,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.247048322127664,"endHours":17.647048322127663,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.447048322127664,"endHours":17.88114658542916,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.197048322127664,"endHours":18.947048322127664,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.8905905518685,"endHours":24.585147773150894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:02","end":"08:20","startHours":7.028690002891731,"endHours":8.330984792796222,"quality":"auspicious"},{"name":"Kāla","start":"08:20","end":"09:38","startHours":8.330984792796222,"endHours":9.633279582700714,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"10:56","startHours":9.633279582700714,"endHours":10.935574372605206,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"12:14","startHours":10.935574372605206,"endHours":12.237869162509696,"quality":"inauspicious"},{"name":"Udveg","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.54016395241419,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"14:51","startHours":13.54016395241419,"endHours":14.84245874231868,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:09","startHours":14.84245874231868,"endHours":16.14475353222317,"quality":"auspicious"},{"name":"Amṛta","start":"16:09","end":"17:27","startHours":16.14475353222317,"endHours":17.447048322127664,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:27","end":"19:09","startHours":17.447048322127664,"endHours":19.144753532223174,"quality":"neutral"},{"name":"Labha","start":"19:09","end":"20:51","startHours":19.144753532223174,"endHours":20.84245874231868,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:32","startHours":20.84245874231868,"endHours":22.54016395241419,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:14","startHours":22.54016395241419,"endHours":24.237869162509696,"quality":"inauspicious"},{"name":"Śubha","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.935574372605206,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:38","startHours":25.935574372605206,"endHours":27.633279582700716,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:20","startHours":27.633279582700716,"endHours":29.330984792796222,"quality":"inauspicious"},{"name":"Chala","start":"05:20","end":"07:02","startHours":29.330984792796222,"endHours":31.028690002891732,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.028690002891731,"endHours":8.028690002891732,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.028690002891732,"endHours":9.028690002891732,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.028690002891732,"endHours":10.028690002891732,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.028690002891732,"endHours":11.028690002891732,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.028690002891732,"endHours":12.028690002891732,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.028690002891732,"endHours":13.028690002891732,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.028690002891732,"endHours":14.028690002891732,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.028690002891732,"endHours":15.028690002891732,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.028690002891732,"endHours":16.028690002891732,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.028690002891732,"endHours":17.028690002891732,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.028690002891732,"endHours":18.028690002891732,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.028690002891732,"endHours":19.028690002891732,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.028690002891732,"endHours":20.028690002891732,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.028690002891732,"endHours":21.028690002891732,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.028690002891732,"endHours":22.028690002891732,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.028690002891732,"endHours":23.028690002891732,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.028690002891732,"endHours":24.028690002891732,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.028690002891732,"endHours":25.028690002891732,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.028690002891732,"endHours":26.028690002891732,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.028690002891732,"endHours":27.028690002891732,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.028690002891732,"endHours":28.028690002891732,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.028690002891732,"endHours":29.028690002891732,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.028690002891732,"endHours":30.028690002891732,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.028690002891732,"endHours":31.028690002891732,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":-23.16894566911303,"eotMinutes":5.090650249418121,"ayanamsa":24.3133}},"calendars":{"vikram_samvat":2089,"vikram_samvatsara":"Krodhana","saka_samvat":1954,"saka_samvatsara":"Paridhāvi","bengali_samvat":1439,"malayalam_era":1208,"nanakshahi_year":563,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 2089 Krodhana · Śaka 1954 Paridhāvi"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 13, 2032 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 2032 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2032-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2032-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2032-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2032-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/2032-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:45:22.730Z","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":"2026-05-15T06:45:22.730Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:45:22.730Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}