{"id":"vidhyamitra:city-day:vrindavan:2001-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2001-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-12-13","date_display":"December 13, 2001 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":2001,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452256.770833,"kali_year":5103,"ahargana":1863791.2708,"sun":{"sidereal_longitude":236.806,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":215.5583,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.7523,"elapsed_within_tithi_degrees":2.7523},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.5583,"elapsed_within_degrees":2.225},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.3643},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2001,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452256.770833,"ahargana":1863791.2708,"kali_year":5103,"ayanamsa_lahiri":23.8802,"grahas":{"sun":{"sidereal_longitude":237.213215,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":214.74371500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":2.3703},"mars":{"sidereal_longitude":309.134315,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":241.71111500000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":79.13991499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":229.43271500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":46.72531500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.3693,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.3693,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2001,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452256.770833,"kali_year":5103,"ahargana":1863791.2708,"sun":{"sidereal_longitude":236.806,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":215.5583,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.7523,"elapsed_within_tithi_degrees":2.7523},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.5583,"elapsed_within_degrees":2.225},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.3643},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.37,"elongation":21.248},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.37,"opposition_distance":158.752}},"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":10.420983468692947,"dayLengthDisplay":"10 Hours 25 Mins 16 Secs","nightLengthDisplay":"13 Hours 34 Mins 44 Secs","moonriseLocal":"05:25","moonsetLocal":"16:04","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:51","startHours":13.540492096096317,"endHours":14.843115029682936,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:02","end":"08:20","startHours":7.027377428163225,"endHours":8.330000361749844,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"10:56","startHours":9.632623295336462,"endHours":10.93524622892308,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458940237524914,"endHours":9.806306353148011,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.461585072692098,"endHours":7.739477965190576,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.8905030468866,"endHours":12.585235278132796,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.637912965670832,"endHours":6.332645196917029,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.15896213910548,"endHours":7.027377428163225,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.97469974062519,"endHours":14.669431971871386,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.248360896856173,"endHours":17.648360896856172,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.448360896856173,"endHours":17.882568541385044,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.198360896856173,"endHours":18.948360896856173,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.890503046886597,"endHours":24.585235278132796,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:02","end":"08:20","startHours":7.027377428163225,"endHours":8.330000361749844,"quality":"auspicious"},{"name":"Roga","start":"08:20","end":"09:38","startHours":8.330000361749844,"endHours":9.632623295336462,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"10:56","startHours":9.632623295336462,"endHours":10.93524622892308,"quality":"inauspicious"},{"name":"Chala","start":"10:56","end":"12:14","startHours":10.93524622892308,"endHours":12.2378691625097,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:32","startHours":12.2378691625097,"endHours":13.540492096096317,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:51","startHours":13.540492096096317,"endHours":14.843115029682936,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:09","startHours":14.843115029682936,"endHours":16.145737963269553,"quality":"inauspicious"},{"name":"Śubha","start":"16:09","end":"17:27","startHours":16.145737963269553,"endHours":17.448360896856173,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:27","end":"19:09","startHours":17.448360896856173,"endHours":19.145737963269553,"quality":"auspicious"},{"name":"Kāla","start":"19:09","end":"20:51","startHours":19.145737963269553,"endHours":20.843115029682934,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:32","startHours":20.843115029682934,"endHours":22.540492096096315,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:14","startHours":22.540492096096315,"endHours":24.2378691625097,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:56","startHours":24.2378691625097,"endHours":25.93524622892308,"quality":"inauspicious"},{"name":"Chala","start":"01:56","end":"03:38","startHours":25.93524622892308,"endHours":27.63262329533646,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:20","startHours":27.63262329533646,"endHours":29.330000361749846,"quality":"auspicious"},{"name":"Amṛta","start":"05:20","end":"07:02","startHours":29.330000361749846,"endHours":31.027377428163227,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.027377428163225,"endHours":8.027377428163225,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.027377428163225,"endHours":9.027377428163225,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.027377428163225,"endHours":10.027377428163225,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.027377428163225,"endHours":11.027377428163225,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.027377428163225,"endHours":12.027377428163225,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.027377428163225,"endHours":13.027377428163225,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.027377428163225,"endHours":14.027377428163225,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.027377428163225,"endHours":15.027377428163225,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.027377428163225,"endHours":16.027377428163227,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.027377428163227,"endHours":17.027377428163227,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.027377428163227,"endHours":18.027377428163227,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.027377428163227,"endHours":19.027377428163227,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.027377428163227,"endHours":20.027377428163227,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.027377428163227,"endHours":21.027377428163227,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.027377428163227,"endHours":22.027377428163227,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.027377428163227,"endHours":23.027377428163227,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.027377428163227,"endHours":24.027377428163227,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.027377428163227,"endHours":25.027377428163227,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.027377428163227,"endHours":26.027377428163227,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.027377428163227,"endHours":27.027377428163227,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.027377428163227,"endHours":28.027377428163227,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.027377428163227,"endHours":29.027377428163227,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.027377428163227,"endHours":30.027377428163227,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.027377428163227,"endHours":31.027377428163227,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","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":-23.137349218258787,"eotMinutes":5.090650249418121,"ayanamsa":23.8802}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturdaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"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},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2001 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 2001 CE for Vṛndāvana: Kṛṣṇa Caturdaśī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2001-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2001-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2001-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2001-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/2001-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T21:37:05.368Z","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":"2026-05-16T21:37:05.368Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T21:37:05.368Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}