{"id":"vidhyamitra:city-day:mathura:1986-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1986-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1986-08-15","date_display":"August 15, 1986 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":1986,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446657.770833,"kali_year":5088,"ahargana":1858192.2708,"sun":{"sidereal_longitude":117.6897,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":235.6296,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.9399,"elapsed_within_tithi_degrees":9.9399},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.6296,"elapsed_within_degrees":8.963},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.3194},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1986,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446657.770833,"ahargana":1858192.2708,"kali_year":5088,"ayanamsa_lahiri":23.6661,"grahas":{"sun":{"sidereal_longitude":118.27033800000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":234.068938,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-3.5251},"mars":{"sidereal_longitude":258.000938,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":100.07583799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":328.26943800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":164.045838,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":219.10803799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":4.0312,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.0312,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1986,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446657.770833,"kali_year":5088,"ahargana":1858192.2708,"sun":{"sidereal_longitude":117.6897,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":235.6296,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.9399,"elapsed_within_tithi_degrees":9.9399},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.6296,"elapsed_within_degrees":8.963},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.3194},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.525,"elongation":117.94},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.525,"opposition_distance":62.06}},"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":"05:49","sunsetLocal":"18:58","solarNoonLocal":"12:23","dayLengthHours":13.138929728589224,"dayLengthDisplay":"13 Hours 08 Mins 20 Secs","nightLengthDisplay":"10 Hours 51 Mins 40 Secs","moonriseLocal":"14:54","moonsetLocal":"01:19","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:23","startHours":10.74899891270349,"endHours":12.391365128777142,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:41","end":"17:19","startHours":15.676097560924449,"endHours":17.3184637769981,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:28","end":"09:06","startHours":7.4642664805561845,"endHours":9.106632696629838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.887650534486683,"endHours":9.32561485877299,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.369355669840416,"endHours":6.719727129269462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.953400804490835,"endHours":12.82932945306345,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.070042967337302,"endHours":4.945971615909916,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.7269894537667625,"endHours":5.821900264482531,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:27","startHours":14.58118675020868,"endHours":15.457115398781294,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.760829993071756,"endHours":19.160829993071754,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.960829993071755,"endHours":19.50828539842964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.710829993071755,"endHours":20.460829993071755,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.953400804490833,"endHours":24.82932945306345,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:49","end":"07:28","startHours":5.821900264482531,"endHours":7.4642664805561845,"quality":"neutral"},{"name":"Labha","start":"07:28","end":"09:06","startHours":7.4642664805561845,"endHours":9.106632696629838,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:45","startHours":9.106632696629838,"endHours":10.74899891270349,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:23","startHours":10.74899891270349,"endHours":12.391365128777142,"quality":"inauspicious"},{"name":"Śubha","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.033731344850796,"quality":"auspicious"},{"name":"Roga","start":"14:02","end":"15:41","startHours":14.033731344850796,"endHours":15.676097560924449,"quality":"inauspicious"},{"name":"Udveg","start":"15:41","end":"17:19","startHours":15.676097560924449,"endHours":17.3184637769981,"quality":"inauspicious"},{"name":"Chala","start":"17:19","end":"18:58","startHours":17.3184637769981,"endHours":18.960829993071755,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:58","end":"20:19","startHours":18.960829993071755,"endHours":20.3184637769981,"quality":"inauspicious"},{"name":"Udveg","start":"20:19","end":"21:41","startHours":20.3184637769981,"endHours":21.67609756092445,"quality":"inauspicious"},{"name":"Chala","start":"21:41","end":"23:02","startHours":21.67609756092445,"endHours":23.033731344850796,"quality":"neutral"},{"name":"Labha","start":"23:02","end":"00:23","startHours":23.033731344850796,"endHours":24.391365128777142,"quality":"auspicious"},{"name":"Amṛta","start":"00:23","end":"01:45","startHours":24.391365128777142,"endHours":25.74899891270349,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:06","startHours":25.74899891270349,"endHours":27.106632696629838,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:28","startHours":27.106632696629838,"endHours":28.464266480556184,"quality":"auspicious"},{"name":"Roga","start":"04:28","end":"05:49","startHours":28.464266480556184,"endHours":29.82190026448253,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.821900264482531,"endHours":6.821900264482531,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.821900264482531,"endHours":7.821900264482531,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.821900264482531,"endHours":8.821900264482531,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.821900264482531,"endHours":9.821900264482531,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.821900264482531,"endHours":10.821900264482531,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.821900264482531,"endHours":11.821900264482531,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.821900264482531,"endHours":12.821900264482531,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.821900264482531,"endHours":13.821900264482531,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.821900264482531,"endHours":14.821900264482531,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.821900264482531,"endHours":15.821900264482531,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.821900264482531,"endHours":16.82190026448253,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.82190026448253,"endHours":17.82190026448253,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.82190026448253,"endHours":18.82190026448253,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.82190026448253,"endHours":19.82190026448253,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.82190026448253,"endHours":20.82190026448253,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.82190026448253,"endHours":21.82190026448253,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.82190026448253,"endHours":22.82190026448253,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.82190026448253,"endHours":23.82190026448253,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.82190026448253,"endHours":24.82190026448253,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.82190026448253,"endHours":25.82190026448253,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.82190026448253,"endHours":26.82190026448253,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.82190026448253,"endHours":27.82190026448253,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.82190026448253,"endHours":28.82190026448253,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.82190026448253,"endHours":29.82190026448253,"planetary_lord":"Mars"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","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":14.19460479212581,"eotMinutes":-4.176707726628523,"ayanamsa":23.6661}},"calendars":{"vikram_samvat":2043,"vikram_samvatsara":"Pramāthi","saka_samvat":1908,"saka_samvatsara":"Akṣaya","bengali_samvat":1393,"malayalam_era":1162,"nanakshahi_year":517,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Daśamī · Vikram 2043 Pramāthi · Śaka 1908 Akṣaya"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 15, 1986 CE · Mathurā · Vidhyamitra","description":"August 15, 1986 CE for Mathurā: Śukla Daśamī, sūryodaya 05:49, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1986-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1986-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/1986-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/1986-08-15","x-default":"https://vidhyamitra.com/city/mathura/1986-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:36:53.177Z","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":"2026-05-14T19:36:53.177Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:36:53.177Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}