{"id":"vidhyamitra:city-day:mathura:2087-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-12-06","date_display":"December 6, 2087 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":2087,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483660.770833,"kali_year":5189,"ahargana":1895195.2708,"sun":{"sidereal_longitude":228.3537,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":356.8311,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.4773,"elapsed_within_tithi_degrees":8.4773},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":356.8311,"elapsed_within_degrees":10.1644},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.1848},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2087,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483660.770833,"ahargana":1895195.2708,"kali_year":5189,"ayanamsa_lahiri":25.0813,"grahas":{"sun":{"sidereal_longitude":229.03405199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.607252,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":2.0135},"mars":{"sidereal_longitude":228.86705200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":234.005852,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":168.13575200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":189.28875200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":12.007051999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":203.4342,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":23.4342,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"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":2087,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483660.770833,"kali_year":5189,"ahargana":1895195.2708,"sun":{"sidereal_longitude":228.3537,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":356.8311,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.4773,"elapsed_within_tithi_degrees":8.4773},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":356.8311,"elapsed_within_degrees":10.1644},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.1848},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.013,"elongation":128.477},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.013,"opposition_distance":51.523}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":0.904,"elongation":1.517}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:57","sunsetLocal":"17:26","solarNoonLocal":"12:11","dayLengthHours":10.4794597951363,"dayLengthDisplay":"10 Hours 28 Mins 46 Secs","nightLengthDisplay":"13 Hours 31 Mins 14 Secs","moonriseLocal":"14:15","moonsetLocal":"02:52","rahuKala":{"name":"Rāhu Kāla","start":"09:34","end":"10:53","startHours":9.566173726636732,"endHours":10.876106201028769,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"14:48","startHours":13.495971149812846,"endHours":14.805903624204882,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:57","end":"08:15","startHours":6.946308777852657,"endHours":8.256241252244696,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.391516063384461,"endHours":9.740831389889003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.382952935983337,"endHours":7.662405197186971,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.836723348916264,"endHours":12.53535400192535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:15","startHours":5.549047471834484,"endHours":6.247678124843571,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:04","end":"06:57","startHours":6.073020461591299,"endHours":6.946308777852657,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.932615307943523,"endHours":14.63124596095261,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.225768572988958,"endHours":17.625768572988957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.425768572988957,"endHours":17.862412731119637,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.175768572988957,"endHours":18.925768572988957,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.836723348916262,"endHours":24.535354001925352,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:57","end":"08:15","startHours":6.946308777852657,"endHours":8.256241252244696,"quality":"inauspicious"},{"name":"Śubha","start":"08:15","end":"09:34","startHours":8.256241252244696,"endHours":9.566173726636732,"quality":"auspicious"},{"name":"Roga","start":"09:34","end":"10:53","startHours":9.566173726636732,"endHours":10.876106201028769,"quality":"inauspicious"},{"name":"Udveg","start":"10:53","end":"12:11","startHours":10.876106201028769,"endHours":12.186038675420807,"quality":"inauspicious"},{"name":"Chala","start":"12:11","end":"13:30","startHours":12.186038675420807,"endHours":13.495971149812846,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"14:48","startHours":13.495971149812846,"endHours":14.805903624204882,"quality":"auspicious"},{"name":"Amṛta","start":"14:48","end":"16:07","startHours":14.805903624204882,"endHours":16.11583609859692,"quality":"auspicious"},{"name":"Kāla","start":"16:07","end":"17:26","startHours":16.11583609859692,"endHours":17.425768572988957,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:26","end":"19:07","startHours":17.425768572988957,"endHours":19.11583609859692,"quality":"auspicious"},{"name":"Amṛta","start":"19:07","end":"20:48","startHours":19.11583609859692,"endHours":20.80590362420488,"quality":"auspicious"},{"name":"Kāla","start":"20:48","end":"22:30","startHours":20.80590362420488,"endHours":22.495971149812846,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"00:11","startHours":22.495971149812846,"endHours":24.186038675420807,"quality":"auspicious"},{"name":"Roga","start":"00:11","end":"01:53","startHours":24.186038675420807,"endHours":25.87610620102877,"quality":"inauspicious"},{"name":"Udveg","start":"01:53","end":"03:34","startHours":25.87610620102877,"endHours":27.566173726636734,"quality":"inauspicious"},{"name":"Chala","start":"03:34","end":"05:15","startHours":27.566173726636734,"endHours":29.256241252244696,"quality":"neutral"},{"name":"Labha","start":"05:15","end":"06:57","startHours":29.256241252244696,"endHours":30.946308777852657,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.946308777852657,"endHours":7.946308777852657,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.946308777852657,"endHours":8.946308777852657,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.946308777852657,"endHours":9.946308777852657,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.946308777852657,"endHours":10.946308777852657,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.946308777852657,"endHours":11.946308777852657,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.946308777852657,"endHours":12.946308777852657,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.946308777852657,"endHours":13.946308777852657,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.946308777852657,"endHours":14.946308777852657,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.946308777852657,"endHours":15.946308777852657,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.946308777852657,"endHours":16.946308777852657,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.946308777852657,"endHours":17.946308777852657,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.946308777852657,"endHours":18.946308777852657,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.946308777852657,"endHours":19.946308777852657,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.946308777852657,"endHours":20.946308777852657,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.946308777852657,"endHours":21.946308777852657,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.946308777852657,"endHours":22.946308777852657,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.946308777852657,"endHours":23.946308777852657,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.946308777852657,"endHours":24.946308777852657,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.946308777852657,"endHours":25.946308777852657,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.946308777852657,"endHours":26.946308777852657,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.946308777852657,"endHours":27.946308777852657,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.946308777852657,"endHours":28.946308777852657,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.946308777852657,"endHours":29.946308777852657,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.946308777852657,"endHours":30.946308777852657,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-22.4914102168685,"eotMinutes":8.142879474751563,"ayanamsa":25.0813}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ekādaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"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, 2087 CE · Mathurā · Vidhyamitra","description":"December 6, 2087 CE for Mathurā: Śukla Ekādaśī, sūryodaya 06:57, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-12-06","sa":"https://sa.vidhyamitra.com/city/mathura/2087-12-06","hi":"https://hi.vidhyamitra.com/city/mathura/2087-12-06","x-default":"https://vidhyamitra.com/city/mathura/2087-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:50:23.807Z","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":"2026-05-14T14:50:23.807Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:50:23.807Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}