{"id":"vidhyamitra:city-day:mathura:2082-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2082-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-08-13","date_display":"August 13, 2082 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":2082,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481719.770833,"kali_year":5184,"ahargana":1893254.2708,"sun":{"sidereal_longitude":114.9768,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":348.3802,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.4034,"elapsed_within_tithi_degrees":5.4034},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.3802,"elapsed_within_degrees":1.7135},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.357},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2082,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481719.770833,"ahargana":1893254.2708,"kali_year":5184,"ayanamsa_lahiri":25.0071,"grahas":{"sun":{"sidereal_longitude":115.77521200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":345.998512,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":3.0154},"mars":{"sidereal_longitude":317.956912,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":142.048312,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":8.991811999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":159.32881199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":311.55181200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":306.2778,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.2778,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2082,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481719.770833,"kali_year":5184,"ahargana":1893254.2708,"sun":{"sidereal_longitude":114.9768,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":348.3802,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.4034,"elapsed_within_tithi_degrees":5.4034},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.3802,"elapsed_within_degrees":1.7135},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.357},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.015,"elongation":126.597},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.015,"opposition_distance":53.403}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":0.128,"elongation":1.442}]},"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":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.166831208131384,"dayLengthDisplay":"13 Hours 10 Mins 01 Secs","nightLengthDisplay":"10 Hours 49 Mins 59 Secs","moonriseLocal":"21:33","moonsetLocal":"09:56","rahuKala":{"name":"Rāhu Kāla","start":"14:03","end":"15:41","startHours":14.043632579986681,"endHours":15.689486481003105,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:49","end":"07:28","startHours":5.814363074904565,"endHours":7.460216975920988,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:45","startHours":9.106070876937412,"endHours":10.751924777953835,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.886623690135222,"endHours":9.325518063739601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.362981041910039,"endHours":6.714096540793543,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.95888430536588,"endHours":12.836673052574637,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:56","startHours":4.058785580487047,"endHours":4.936574327695807,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.717127140893616,"endHours":5.814363074904565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.592250546992155,"endHours":15.470039294200914,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.78119428303595,"endHours":19.18119428303595,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.98119428303595,"endHours":19.529812250041424,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.73119428303595,"endHours":20.48119428303595,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.958884305365878,"endHours":24.83667305257464,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:49","end":"07:28","startHours":5.814363074904565,"endHours":7.460216975920988,"quality":"auspicious"},{"name":"Roga","start":"07:28","end":"09:06","startHours":7.460216975920988,"endHours":9.106070876937412,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:45","startHours":9.106070876937412,"endHours":10.751924777953835,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:24","startHours":10.751924777953835,"endHours":12.397778678970258,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.043632579986681,"quality":"auspicious"},{"name":"Amṛta","start":"14:03","end":"15:41","startHours":14.043632579986681,"endHours":15.689486481003105,"quality":"auspicious"},{"name":"Kāla","start":"15:41","end":"17:20","startHours":15.689486481003105,"endHours":17.335340382019528,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"18:59","startHours":17.335340382019528,"endHours":18.98119428303595,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:59","end":"20:20","startHours":18.98119428303595,"endHours":20.335340382019528,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:41","startHours":20.335340382019528,"endHours":21.689486481003105,"quality":"inauspicious"},{"name":"Śubha","start":"21:41","end":"23:03","startHours":21.689486481003105,"endHours":23.04363257998668,"quality":"auspicious"},{"name":"Roga","start":"23:03","end":"00:24","startHours":23.04363257998668,"endHours":24.39777867897026,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.751924777953835,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:06","startHours":25.751924777953835,"endHours":27.106070876937412,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:28","startHours":27.106070876937412,"endHours":28.46021697592099,"quality":"auspicious"},{"name":"Amṛta","start":"04:28","end":"05:49","startHours":28.46021697592099,"endHours":29.814363074904566,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.814363074904565,"endHours":6.814363074904565,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.814363074904565,"endHours":7.814363074904565,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.814363074904565,"endHours":8.814363074904566,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.814363074904566,"endHours":9.814363074904566,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.814363074904566,"endHours":10.814363074904566,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.814363074904566,"endHours":11.814363074904566,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.814363074904566,"endHours":12.814363074904566,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.814363074904566,"endHours":13.814363074904566,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.814363074904566,"endHours":14.814363074904566,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.814363074904566,"endHours":15.814363074904566,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.814363074904566,"endHours":16.814363074904566,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.814363074904566,"endHours":17.814363074904566,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.814363074904566,"endHours":18.814363074904566,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.814363074904566,"endHours":19.814363074904566,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.814363074904566,"endHours":20.814363074904566,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.814363074904566,"endHours":21.814363074904566,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.814363074904566,"endHours":22.814363074904566,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.814363074904566,"endHours":23.814363074904566,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.814363074904566,"endHours":24.814363074904566,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.814363074904566,"endHours":25.814363074904566,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.814363074904566,"endHours":26.814363074904566,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.814363074904566,"endHours":27.814363074904566,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.814363074904566,"endHours":28.814363074904566,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.814363074904566,"endHours":29.814363074904566,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","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":14.564735899049436,"eotMinutes":-4.561520738215509,"ayanamsa":25.0071}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pañcamī · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2082 CE · Mathurā · Vidhyamitra","description":"August 13, 2082 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2082-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2082-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2082-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2082-08-13","x-default":"https://vidhyamitra.com/city/mathura/2082-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:15:10.822Z","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":"2026-05-14T17:15:10.822Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:15:10.822Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}