{"id":"vidhyamitra:city-day:mathura:2087-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-08-18","date_display":"August 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483550.770833,"kali_year":5189,"ahargana":1895085.2708,"sun":{"sidereal_longitude":119.4733,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":346.9898,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.5165,"elapsed_within_tithi_degrees":11.5165},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":346.9898,"elapsed_within_degrees":0.3231},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4631},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2087,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483550.770833,"ahargana":1895085.2708,"kali_year":5189,"ayanamsa_lahiri":25.0771,"grahas":{"sun":{"sidereal_longitude":120.307455,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":349.115255,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":3.0253},"mars":{"sidereal_longitude":153.78655500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":137.129255,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":145.965055,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":88.45095500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":17.911155000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":209.2626,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.2626,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483550.770833,"kali_year":5189,"ahargana":1895085.2708,"sun":{"sidereal_longitude":119.4733,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":346.9898,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.5165,"elapsed_within_tithi_degrees":11.5165},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":346.9898,"elapsed_within_degrees":0.3231},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4631},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.025,"elongation":132.483},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.025,"opposition_distance":47.517}},"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":"05:51","sunsetLocal":"18:54","solarNoonLocal":"12:23","dayLengthHours":13.053936962951468,"dayLengthDisplay":"13 Hours 03 Mins 14 Secs","nightLengthDisplay":"10 Hours 56 Mins 46 Secs","moonriseLocal":"21:24","moonsetLocal":"09:52","rahuKala":{"name":"Rāhu Kāla","start":"07:29","end":"09:07","startHours":7.485327934241706,"endHours":9.11707005461064,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:23","startHours":10.748812174979573,"endHours":12.380554295348507,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:01","end":"15:39","startHours":14.01229641571744,"endHours":15.644038536086374,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.899504438561449,"endHours":9.33463567065983,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.39749985399575,"endHours":6.745604839674456,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.945423063250125,"endHours":12.815685527446888,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.113060885479244,"endHours":4.983323349676008,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.765757733626817,"endHours":5.8535858138727725,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:26","startHours":14.556210455840418,"endHours":15.426472920037183,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.70752277682424,"endHours":19.10752277682424,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.90752277682424,"endHours":19.45143681694722,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.65752277682424,"endHours":20.40752277682424,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.945423063250125,"endHours":24.815685527446888,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:51","end":"07:29","startHours":5.8535858138727725,"endHours":7.485327934241706,"quality":"auspicious"},{"name":"Kāla","start":"07:29","end":"09:07","startHours":7.485327934241706,"endHours":9.11707005461064,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:45","startHours":9.11707005461064,"endHours":10.748812174979573,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:23","startHours":10.748812174979573,"endHours":12.380554295348507,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.01229641571744,"quality":"inauspicious"},{"name":"Chala","start":"14:01","end":"15:39","startHours":14.01229641571744,"endHours":15.644038536086374,"quality":"neutral"},{"name":"Labha","start":"15:39","end":"17:17","startHours":15.644038536086374,"endHours":17.275780656455307,"quality":"auspicious"},{"name":"Amṛta","start":"17:17","end":"18:54","startHours":17.275780656455307,"endHours":18.90752277682424,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:54","end":"20:17","startHours":18.90752277682424,"endHours":20.275780656455307,"quality":"neutral"},{"name":"Labha","start":"20:17","end":"21:39","startHours":20.275780656455307,"endHours":21.644038536086374,"quality":"auspicious"},{"name":"Amṛta","start":"21:39","end":"23:01","startHours":21.644038536086374,"endHours":23.01229641571744,"quality":"auspicious"},{"name":"Kāla","start":"23:01","end":"00:23","startHours":23.01229641571744,"endHours":24.380554295348507,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:45","startHours":24.380554295348507,"endHours":25.748812174979573,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:07","startHours":25.748812174979573,"endHours":27.11707005461064,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:29","startHours":27.11707005461064,"endHours":28.485327934241706,"quality":"inauspicious"},{"name":"Chala","start":"04:29","end":"05:51","startHours":28.485327934241706,"endHours":29.853585813872773,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.8535858138727725,"endHours":6.8535858138727725,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.8535858138727725,"endHours":7.8535858138727725,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.8535858138727725,"endHours":8.853585813872773,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.853585813872773,"endHours":9.853585813872773,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.853585813872773,"endHours":10.853585813872773,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.853585813872773,"endHours":11.853585813872773,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.853585813872773,"endHours":12.853585813872773,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.853585813872773,"endHours":13.853585813872773,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.853585813872773,"endHours":14.853585813872773,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.853585813872773,"endHours":15.853585813872773,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.853585813872773,"endHours":16.853585813872773,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.853585813872773,"endHours":17.853585813872773,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.853585813872773,"endHours":18.853585813872773,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.853585813872773,"endHours":19.853585813872773,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.853585813872773,"endHours":20.853585813872773,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.853585813872773,"endHours":21.853585813872773,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.853585813872773,"endHours":22.853585813872773,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.853585813872773,"endHours":23.853585813872773,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.853585813872773,"endHours":24.853585813872773,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.853585813872773,"endHours":25.853585813872773,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.853585813872773,"endHours":26.853585813872773,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.853585813872773,"endHours":27.853585813872773,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.853585813872773,"endHours":28.853585813872773,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.853585813872773,"endHours":29.853585813872773,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.058049985979103,"eotMinutes":-3.5280577209103767,"ayanamsa":25.0771}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Caturthī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 18, 2087 CE · Mathurā · Vidhyamitra","description":"August 18, 2087 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:51, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/2087-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/2087-08-18","x-default":"https://vidhyamitra.com/city/mathura/2087-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:13:31.889Z","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":"2026-05-14T17:13:31.889Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:13:31.889Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}