{"id":"vidhyamitra:city-day:mathura:2084-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2084-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-08-07","date_display":"August 7, 2084 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":2084,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482444.770833,"kali_year":5186,"ahargana":1893979.2708,"sun":{"sidereal_longitude":109.7161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":173.8326,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1165,"elapsed_within_tithi_degrees":4.1165},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.8326,"elapsed_within_degrees":0.4993},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.5487},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2084,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482444.770833,"ahargana":1893979.2708,"kali_year":5186,"ayanamsa_lahiri":25.0348,"grahas":{"sun":{"sidereal_longitude":110.48951199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":171.442412,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-4.4888},"mars":{"sidereal_longitude":11.719512000000009,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":104.78051200000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":69.633712,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":64.07311200000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":338.091312,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":267.8638,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":87.8638,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2084,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482444.770833,"kali_year":5186,"ahargana":1893979.2708,"sun":{"sidereal_longitude":109.7161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":173.8326,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1165,"elapsed_within_tithi_degrees":4.1165},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.8326,"elapsed_within_degrees":0.4993},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.5487},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.489,"elongation":64.116},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.489,"opposition_distance":115.884}},"eclipse_window_40days":[]},"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":"05:46","sunsetLocal":"19:03","solarNoonLocal":"12:25","dayLengthHours":13.28997766252667,"dayLengthDisplay":"13 Hours 17 Mins 24 Secs","nightLengthDisplay":"10 Hours 42 Mins 36 Secs","moonriseLocal":"10:39","moonsetLocal":"22:18","rahuKala":{"name":"Rāhu Kāla","start":"07:26","end":"09:05","startHours":7.429276640137925,"endHours":9.090523847953758,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.751771055769591,"endHours":12.413018263585425,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:04","end":"15:44","startHours":14.074265471401258,"endHours":15.735512679217095,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.869024220244981,"endHours":9.312023475662535,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:41","startHours":6.321778501594035,"endHours":6.676177905928079,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.97001900816787,"endHours":12.856017519002982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:53","startHours":3.9960324106518677,"endHours":4.8820309214869795,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:46","startHours":4.660531293778201,"endHours":5.76802943232209,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.628014540673206,"endHours":15.514013051508318,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.858007094848762,"endHours":19.25800709484876,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.05800709484876,"endHours":19.611756164120706,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.80800709484876,"endHours":20.55800709484876,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.970019008167874,"endHours":24.856017519002982,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:46","end":"07:26","startHours":5.76802943232209,"endHours":7.429276640137925,"quality":"auspicious"},{"name":"Kāla","start":"07:26","end":"09:05","startHours":7.429276640137925,"endHours":9.090523847953758,"quality":"inauspicious"},{"name":"Śubha","start":"09:05","end":"10:45","startHours":9.090523847953758,"endHours":10.751771055769591,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.751771055769591,"endHours":12.413018263585425,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:04","startHours":12.413018263585425,"endHours":14.074265471401258,"quality":"inauspicious"},{"name":"Chala","start":"14:04","end":"15:44","startHours":14.074265471401258,"endHours":15.735512679217095,"quality":"neutral"},{"name":"Labha","start":"15:44","end":"17:24","startHours":15.735512679217095,"endHours":17.39675988703293,"quality":"auspicious"},{"name":"Amṛta","start":"17:24","end":"19:03","startHours":17.39675988703293,"endHours":19.05800709484876,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:03","end":"20:24","startHours":19.05800709484876,"endHours":20.39675988703293,"quality":"neutral"},{"name":"Labha","start":"20:24","end":"21:44","startHours":20.39675988703293,"endHours":21.735512679217095,"quality":"auspicious"},{"name":"Amṛta","start":"21:44","end":"23:04","startHours":21.735512679217095,"endHours":23.07426547140126,"quality":"auspicious"},{"name":"Kāla","start":"23:04","end":"00:25","startHours":23.07426547140126,"endHours":24.41301826358543,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.41301826358543,"endHours":25.751771055769595,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:05","startHours":25.751771055769595,"endHours":27.090523847953758,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:26","startHours":27.090523847953758,"endHours":28.429276640137925,"quality":"inauspicious"},{"name":"Chala","start":"04:26","end":"05:46","startHours":28.429276640137925,"endHours":29.76802943232209,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.76802943232209,"endHours":6.76802943232209,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.76802943232209,"endHours":7.76802943232209,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.76802943232209,"endHours":8.768029432322091,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.768029432322091,"endHours":9.768029432322091,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.768029432322091,"endHours":10.768029432322091,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.768029432322091,"endHours":11.768029432322091,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.768029432322091,"endHours":12.768029432322091,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.768029432322091,"endHours":13.768029432322091,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.768029432322091,"endHours":14.768029432322091,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.768029432322091,"endHours":15.768029432322091,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.768029432322091,"endHours":16.76802943232209,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.76802943232209,"endHours":17.76802943232209,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.76802943232209,"endHours":18.76802943232209,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.76802943232209,"endHours":19.76802943232209,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.76802943232209,"endHours":20.76802943232209,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.76802943232209,"endHours":21.76802943232209,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.76802943232209,"endHours":22.76802943232209,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.76802943232209,"endHours":23.76802943232209,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.76802943232209,"endHours":24.76802943232209,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.76802943232209,"endHours":25.76802943232209,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.76802943232209,"endHours":26.76802943232209,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.76802943232209,"endHours":27.76802943232209,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.76802943232209,"endHours":28.76802943232209,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.76802943232209,"endHours":29.76802943232209,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":16.179885739276312,"eotMinutes":-5.475895815125568,"ayanamsa":25.0348}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ṣaṣṭhī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"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":[]},"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 August 7, 2084 CE · Mathurā · Vidhyamitra","description":"August 7, 2084 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:46, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2084-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2084-08-07","sa":"https://sa.vidhyamitra.com/city/mathura/2084-08-07","hi":"https://hi.vidhyamitra.com/city/mathura/2084-08-07","x-default":"https://vidhyamitra.com/city/mathura/2084-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:05:46.623Z","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":"2026-05-14T12:05:46.623Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:05:46.623Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}