{"id":"vidhyamitra:city-day:mathura:2086-08-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2086-08-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-08-30","date_display":"August 30, 2086 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":2086,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483197.770833,"kali_year":5188,"ahargana":1894732.2708,"sun":{"sidereal_longitude":131.2329,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":21.4648,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.2319,"elapsed_within_tithi_degrees":10.2319},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.4648,"elapsed_within_degrees":8.1314},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.6976},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2086,"month":8,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483197.770833,"ahargana":1894732.2708,"kali_year":5188,"ayanamsa_lahiri":25.0636,"grahas":{"sun":{"sidereal_longitude":132.11884199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":25.516241999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":2.0063},"mars":{"sidereal_longitude":49.784242000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":144.986942,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":124.750542,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":121.61334199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":4.210041999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":227.9662,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":47.9662,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2086,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483197.770833,"kali_year":5188,"ahargana":1894732.2708,"sun":{"sidereal_longitude":131.2329,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":21.4648,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.2319,"elapsed_within_tithi_degrees":10.2319},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.4648,"elapsed_within_degrees":8.1314},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.6976},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.006,"elongation":109.768},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.006,"opposition_distance":70.232}},"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":"05:57","sunsetLocal":"18:42","solarNoonLocal":"12:19","dayLengthHours":12.748530239045555,"dayLengthDisplay":"12 Hours 44 Mins 55 Secs","nightLengthDisplay":"11 Hours 15 Mins 05 Secs","moonriseLocal":"22:32","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:19","startHours":10.731173575765503,"endHours":12.324739855646197,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:31","end":"17:06","startHours":15.511872415407586,"endHours":17.10543869528828,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:08","startHours":7.5440410160041145,"endHours":9.13760729588481,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.925131791900716,"endHours":9.3500827998689,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.481663496083652,"endHours":6.8216243024582,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.899788847678012,"endHours":12.749690863614381,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.250670704250679,"endHours":5.100572720187049,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:57","startHours":4.888097216202957,"endHours":5.95047473612342,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.449494895487124,"endHours":15.299396911423495,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.499004975168976,"endHours":18.899004975168975,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.699004975168975,"endHours":19.230193735129205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.449004975168975,"endHours":20.199004975168975,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.89978884767801,"endHours":24.749690863614383,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:57","end":"07:33","startHours":5.95047473612342,"endHours":7.5440410160041145,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:08","startHours":7.5440410160041145,"endHours":9.13760729588481,"quality":"auspicious"},{"name":"Amṛta","start":"09:08","end":"10:44","startHours":9.13760729588481,"endHours":10.731173575765503,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:19","startHours":10.731173575765503,"endHours":12.324739855646197,"quality":"inauspicious"},{"name":"Śubha","start":"12:19","end":"13:55","startHours":12.324739855646197,"endHours":13.918306135526892,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:31","startHours":13.918306135526892,"endHours":15.511872415407586,"quality":"inauspicious"},{"name":"Udveg","start":"15:31","end":"17:06","startHours":15.511872415407586,"endHours":17.10543869528828,"quality":"inauspicious"},{"name":"Chala","start":"17:06","end":"18:42","startHours":17.10543869528828,"endHours":18.699004975168975,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:42","end":"20:06","startHours":18.699004975168975,"endHours":20.10543869528828,"quality":"inauspicious"},{"name":"Udveg","start":"20:06","end":"21:31","startHours":20.10543869528828,"endHours":21.511872415407588,"quality":"inauspicious"},{"name":"Chala","start":"21:31","end":"22:55","startHours":21.511872415407588,"endHours":22.91830613552689,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:19","startHours":22.91830613552689,"endHours":24.324739855646197,"quality":"auspicious"},{"name":"Amṛta","start":"00:19","end":"01:44","startHours":24.324739855646197,"endHours":25.731173575765503,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:08","startHours":25.731173575765503,"endHours":27.13760729588481,"quality":"inauspicious"},{"name":"Śubha","start":"03:08","end":"04:33","startHours":27.13760729588481,"endHours":28.544041016004115,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:57","startHours":28.544041016004115,"endHours":29.950474736123418,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.95047473612342,"endHours":6.95047473612342,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.95047473612342,"endHours":7.95047473612342,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.95047473612342,"endHours":8.95047473612342,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.95047473612342,"endHours":9.95047473612342,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.95047473612342,"endHours":10.95047473612342,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.95047473612342,"endHours":11.95047473612342,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.95047473612342,"endHours":12.95047473612342,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.95047473612342,"endHours":13.95047473612342,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.95047473612342,"endHours":14.95047473612342,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.95047473612342,"endHours":15.95047473612342,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.95047473612342,"endHours":16.950474736123418,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.950474736123418,"endHours":17.950474736123418,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.950474736123418,"endHours":18.950474736123418,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.950474736123418,"endHours":19.950474736123418,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.950474736123418,"endHours":20.950474736123418,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.950474736123418,"endHours":21.950474736123418,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.950474736123418,"endHours":22.950474736123418,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.950474736123418,"endHours":23.950474736123418,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.950474736123418,"endHours":24.950474736123418,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.950474736123418,"endHours":25.950474736123418,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.950474736123418,"endHours":26.950474736123418,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.950474736123418,"endHours":27.950474736123418,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.950474736123418,"endHours":28.950474736123418,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.950474736123418,"endHours":29.950474736123418,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.872714470635692,"eotMinutes":-0.17919133877174764,"ayanamsa":25.0636}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Ṣaṣṭhī · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"festivals":[{"id":"balarama-jayanti","name":"Balarāma Jayantī (Hala-Ṣaṣṭhī)","name_sanskrit":"बलराम जयन्ती","tradition":"Vaishnava","associated_deity":"Balarāma (Krishna's elder brother; ādi-śeṣa)","significance":"Birth of Bala-deva, Krishna's elder brother and Saṅkarṣaṇa.","vrata":true,"detection":{"tithi_number":21,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3,"sources":["Bhāgavata 10.2-3"]},{"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}],"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":[]},"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 30, 2086 CE · Mathurā · Vidhyamitra","description":"August 30, 2086 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:57, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2086-08-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2086-08-30","sa":"https://sa.vidhyamitra.com/city/mathura/2086-08-30","hi":"https://hi.vidhyamitra.com/city/mathura/2086-08-30","x-default":"https://vidhyamitra.com/city/mathura/2086-08-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:08:00.352Z","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":"2026-05-14T17:08:00.352Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:08:00.352Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}