{"id":"vidhyamitra:city-day:mathura:2087-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-08-03","date_display":"August 3, 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":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483535.770833,"kali_year":5189,"ahargana":1895070.2708,"sun":{"sidereal_longitude":105.1707,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.5379,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":53.3672,"elapsed_within_tithi_degrees":5.3672},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.5379,"elapsed_within_degrees":11.8713},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.7086},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":8,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483535.770833,"ahargana":1895070.2708,"kali_year":5189,"ayanamsa_lahiri":25.0765,"grahas":{"sun":{"sidereal_longitude":105.92382800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":157.76252799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-3.5213},"mars":{"sidereal_longitude":144.37442799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":109.73272800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":143.00072799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":91.91602799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":17.529628000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.0573,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.0573,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483535.770833,"kali_year":5189,"ahargana":1895070.2708,"sun":{"sidereal_longitude":105.1707,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.5379,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":53.3672,"elapsed_within_tithi_degrees":5.3672},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.5379,"elapsed_within_degrees":11.8713},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.7086},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.521,"elongation":53.367},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.521,"opposition_distance":126.633}},"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":"05:43","sunsetLocal":"19:07","solarNoonLocal":"12:25","dayLengthHours":13.389946541732776,"dayLengthDisplay":"13 Hours 23 Mins 24 Secs","nightLengthDisplay":"10 Hours 36 Mins 36 Secs","moonriseLocal":"09:52","moonsetLocal":"21:53","rahuKala":{"name":"Rāhu Kāla","start":"17:26","end":"19:07","startHours":17.44096553575568,"endHours":19.114708853472276,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:06","startHours":12.419735582605888,"endHours":14.093478900322484,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:46","end":"17:26","startHours":15.767222218039084,"endHours":17.44096553575568,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.84908317147715,"endHours":9.29541472286824,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.282676750978367,"endHours":6.639741992091241,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.973404031214796,"endHours":12.86606713399698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:50","startHours":3.9394361061751306,"endHours":4.832099208957316,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:43","startHours":4.60893343326177,"endHours":5.724762311739501,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.651393339561352,"endHours":15.544056442343537,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.914708853472277,"endHours":19.314708853472276,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.114708853472276,"endHours":19.67262329271114,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.864708853472276,"endHours":20.614708853472276,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.973404031214795,"endHours":24.86606713399698,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:43","end":"07:24","startHours":5.724762311739501,"endHours":7.398505629456098,"quality":"inauspicious"},{"name":"Chala","start":"07:24","end":"09:04","startHours":7.398505629456098,"endHours":9.072248947172696,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:45","startHours":9.072248947172696,"endHours":10.745992264889292,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:25","startHours":10.745992264889292,"endHours":12.419735582605888,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:06","startHours":12.419735582605888,"endHours":14.093478900322484,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:46","startHours":14.093478900322484,"endHours":15.767222218039084,"quality":"auspicious"},{"name":"Roga","start":"15:46","end":"17:26","startHours":15.767222218039084,"endHours":17.44096553575568,"quality":"inauspicious"},{"name":"Udveg","start":"17:26","end":"19:07","startHours":17.44096553575568,"endHours":19.114708853472276,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:07","end":"20:26","startHours":19.114708853472276,"endHours":20.44096553575568,"quality":"auspicious"},{"name":"Roga","start":"20:26","end":"21:46","startHours":20.44096553575568,"endHours":21.76722221803908,"quality":"inauspicious"},{"name":"Udveg","start":"21:46","end":"23:06","startHours":21.76722221803908,"endHours":23.093478900322484,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:25","startHours":23.093478900322484,"endHours":24.419735582605888,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:45","startHours":24.419735582605888,"endHours":25.745992264889292,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:04","startHours":25.745992264889292,"endHours":27.072248947172696,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:24","startHours":27.072248947172696,"endHours":28.398505629456096,"quality":"inauspicious"},{"name":"Śubha","start":"04:24","end":"05:43","startHours":28.398505629456096,"endHours":29.7247623117395,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.724762311739501,"endHours":6.724762311739501,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.724762311739501,"endHours":7.724762311739501,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.724762311739501,"endHours":8.7247623117395,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.7247623117395,"endHours":9.7247623117395,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.7247623117395,"endHours":10.7247623117395,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.7247623117395,"endHours":11.7247623117395,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.7247623117395,"endHours":12.7247623117395,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.7247623117395,"endHours":13.7247623117395,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.7247623117395,"endHours":14.7247623117395,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.7247623117395,"endHours":15.7247623117395,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.7247623117395,"endHours":16.7247623117395,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.7247623117395,"endHours":17.7247623117395,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.7247623117395,"endHours":18.7247623117395,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.7247623117395,"endHours":19.7247623117395,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.7247623117395,"endHours":20.7247623117395,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.7247623117395,"endHours":21.7247623117395,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.7247623117395,"endHours":22.7247623117395,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.7247623117395,"endHours":23.7247623117395,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.7247623117395,"endHours":24.7247623117395,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.7247623117395,"endHours":25.7247623117395,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.7247623117395,"endHours":26.7247623117395,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.7247623117395,"endHours":27.7247623117395,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.7247623117395,"endHours":28.7247623117395,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.7247623117395,"endHours":29.7247623117395,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"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":17.46787436807579,"eotMinutes":-5.878934956353266,"ayanamsa":25.0765}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 3, 2087 CE · Mathurā · Vidhyamitra","description":"August 3, 2087 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:43, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-08-03","sa":"https://sa.vidhyamitra.com/city/mathura/2087-08-03","hi":"https://hi.vidhyamitra.com/city/mathura/2087-08-03","x-default":"https://vidhyamitra.com/city/mathura/2087-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:41:22.030Z","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":"2026-05-14T14:41:22.030Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:41:22.030Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}