{"id":"vidhyamitra:city-day:vrindavan:2113-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2113-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-12-06","date_display":"December 6, 2113 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":2113,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493156.770833,"kali_year":5215,"ahargana":1904691.2708,"sun":{"sidereal_longitude":227.6096,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":201.0325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4229,"elapsed_within_tithi_degrees":9.4229},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.0325,"elapsed_within_degrees":1.0325},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6421},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2113,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493156.770833,"ahargana":1904691.2708,"kali_year":5215,"ayanamsa_lahiri":25.4445,"grahas":{"sun":{"sidereal_longitude":228.35723499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":202.93873499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":2.8459},"mars":{"sidereal_longitude":190.04073500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":229.079435,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":222.868835,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":225.75993500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":325.903235,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":60.2905,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.2905,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493156.770833,"kali_year":5215,"ahargana":1904691.2708,"sun":{"sidereal_longitude":227.6096,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":201.0325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4229,"elapsed_within_tithi_degrees":9.4229},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.0325,"elapsed_within_degrees":1.0325},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6421},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.846,"elongation":26.577},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.846,"opposition_distance":153.423}},"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":"06:57","sunsetLocal":"17:26","solarNoonLocal":"12:11","dayLengthHours":10.47741620821355,"dayLengthDisplay":"10 Hours 28 Mins 39 Secs","nightLengthDisplay":"13 Hours 31 Mins 21 Secs","moonriseLocal":"05:04","moonsetLocal":"15:55","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:30","startHours":12.186998675420806,"endHours":13.496675701447499,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:15","end":"09:34","startHours":8.257967597340725,"endHours":9.567644623367418,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:11","startHours":10.877321649394112,"endHours":12.186998675420806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.393021019897192,"endHours":9.742268226837645,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.384849579989595,"endHours":7.664247345541956,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.837751468480354,"endHours":12.536245882361259,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:15","startHours":5.551301743552225,"endHours":6.249796157433128,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:57","startHours":6.075172553962902,"endHours":6.948290571314031,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.933234710123063,"endHours":14.631729124003966,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22570677952758,"endHours":17.62570677952758,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42570677952758,"endHours":17.862265788203146,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17570677952758,"endHours":18.92570677952758,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.837751468480356,"endHours":24.536245882361257,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:57","end":"08:15","startHours":6.948290571314031,"endHours":8.257967597340725,"quality":"auspicious"},{"name":"Amṛta","start":"08:15","end":"09:34","startHours":8.257967597340725,"endHours":9.567644623367418,"quality":"auspicious"},{"name":"Kāla","start":"09:34","end":"10:53","startHours":9.567644623367418,"endHours":10.877321649394112,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:11","startHours":10.877321649394112,"endHours":12.186998675420806,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:30","startHours":12.186998675420806,"endHours":13.496675701447499,"quality":"inauspicious"},{"name":"Udveg","start":"13:30","end":"14:48","startHours":13.496675701447499,"endHours":14.806352727474193,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:07","startHours":14.806352727474193,"endHours":16.116029753500886,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:26","startHours":16.116029753500886,"endHours":17.42570677952758,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:26","end":"19:07","startHours":17.42570677952758,"endHours":19.116029753500886,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:48","startHours":19.116029753500886,"endHours":20.80635272747419,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:30","startHours":20.80635272747419,"endHours":22.4966757014475,"quality":"auspicious"},{"name":"Amṛta","start":"22:30","end":"00:11","startHours":22.4966757014475,"endHours":24.186998675420806,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:53","startHours":24.186998675420806,"endHours":25.877321649394112,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:34","startHours":25.877321649394112,"endHours":27.567644623367418,"quality":"auspicious"},{"name":"Roga","start":"03:34","end":"05:15","startHours":27.567644623367418,"endHours":29.257967597340723,"quality":"inauspicious"},{"name":"Udveg","start":"05:15","end":"06:57","startHours":29.257967597340723,"endHours":30.948290571314033,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.948290571314031,"endHours":7.948290571314031,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.948290571314031,"endHours":8.94829057131403,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.94829057131403,"endHours":9.94829057131403,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.94829057131403,"endHours":10.94829057131403,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.94829057131403,"endHours":11.94829057131403,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.94829057131403,"endHours":12.94829057131403,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.94829057131403,"endHours":13.94829057131403,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.94829057131403,"endHours":14.94829057131403,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.94829057131403,"endHours":15.94829057131403,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.94829057131403,"endHours":16.948290571314033,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.948290571314033,"endHours":17.948290571314033,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.948290571314033,"endHours":18.948290571314033,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.948290571314033,"endHours":19.948290571314033,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.948290571314033,"endHours":20.948290571314033,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.948290571314033,"endHours":21.948290571314033,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.948290571314033,"endHours":22.948290571314033,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.948290571314033,"endHours":23.948290571314033,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.948290571314033,"endHours":24.948290571314033,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.948290571314033,"endHours":25.948290571314033,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.948290571314033,"endHours":26.948290571314033,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.948290571314033,"endHours":27.948290571314033,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.948290571314033,"endHours":28.948290571314033,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.948290571314033,"endHours":29.948290571314033,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.948290571314033,"endHours":30.948290571314033,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","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":-22.4541091088027,"eotMinutes":8.142879474751563,"ayanamsa":25.4445}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Trayodaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 6, 2113 CE · Vṛndāvana · Vidhyamitra","description":"December 6, 2113 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 06:57, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2113-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2113-12-06","sa":"https://sa.vidhyamitra.com/city/vrindavan/2113-12-06","hi":"https://hi.vidhyamitra.com/city/vrindavan/2113-12-06","x-default":"https://vidhyamitra.com/city/vrindavan/2113-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:05:11.424Z","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":"2026-05-31T02:05:11.424Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:05:11.424Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}