{"id":"vidhyamitra:city-day:mathura:2024-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2024-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-08-13","date_display":"August 13, 2024 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":2024,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460535.770833,"kali_year":5126,"ahargana":1872070.2708,"sun":{"sidereal_longitude":115.939,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":213.6308,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.6918,"elapsed_within_tithi_degrees":1.6918},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.6308,"elapsed_within_degrees":0.2975},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.5698},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2024,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460535.770833,"ahargana":1872070.2708,"kali_year":5126,"ayanamsa_lahiri":24.1969,"grahas":{"sun":{"sidereal_longitude":116.60199699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":211.07149700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":-3.176},"mars":{"sidereal_longitude":51.097297000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":126.97899700000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":52.23319700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":135.22799700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":323.794397,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":348.708,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":168.708,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2024,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460535.770833,"kali_year":5126,"ahargana":1872070.2708,"sun":{"sidereal_longitude":115.939,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":213.6308,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.6918,"elapsed_within_tithi_degrees":1.6918},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.6308,"elapsed_within_degrees":0.2975},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.5698},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.176,"elongation":97.692},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.176,"opposition_distance":82.308}},"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":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.16643232639855,"dayLengthDisplay":"13 Hours 09 Mins 59 Secs","nightLengthDisplay":"10 Hours 50 Mins 01 Secs","moonriseLocal":"13:20","moonsetLocal":"00:03","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:20","startHours":15.689386760569896,"endHours":17.335190801369716,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:45","startHours":9.106170597370621,"endHours":10.751974638170442,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.043582719770079,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.886730058597312,"endHours":9.32561113614393,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.3631638627042575,"endHours":6.714268724741552,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.95889760142364,"endHours":12.836659756516877,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:56","startHours":4.059038205584511,"endHours":4.936800360677748,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.717359821904439,"endHours":5.814562515770985,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.59218406670335,"endHours":15.469946221796587,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.780994842169534,"endHours":19.180994842169532,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.980994842169533,"endHours":19.529596189102804,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.730994842169533,"endHours":20.480994842169533,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.95889760142364,"endHours":24.836659756516877,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:49","end":"07:28","startHours":5.814562515770985,"endHours":7.460366556570803,"quality":"inauspicious"},{"name":"Udveg","start":"07:28","end":"09:06","startHours":7.460366556570803,"endHours":9.106170597370621,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:45","startHours":9.106170597370621,"endHours":10.751974638170442,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:24","startHours":10.751974638170442,"endHours":12.397778678970258,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.043582719770079,"quality":"auspicious"},{"name":"Kāla","start":"14:03","end":"15:41","startHours":14.043582719770079,"endHours":15.689386760569896,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:20","startHours":15.689386760569896,"endHours":17.335190801369716,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:59","startHours":17.335190801369716,"endHours":18.980994842169533,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:20","startHours":18.980994842169533,"endHours":20.335190801369713,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:41","startHours":20.335190801369713,"endHours":21.689386760569896,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:03","startHours":21.689386760569896,"endHours":23.04358271977008,"quality":"inauspicious"},{"name":"Udveg","start":"23:03","end":"00:24","startHours":23.04358271977008,"endHours":24.39777867897026,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.751974638170438,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:06","startHours":25.751974638170438,"endHours":27.10617059737062,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:28","startHours":27.10617059737062,"endHours":28.460366556570804,"quality":"auspicious"},{"name":"Kāla","start":"04:28","end":"05:49","startHours":28.460366556570804,"endHours":29.814562515770984,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.814562515770985,"endHours":6.814562515770985,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.814562515770985,"endHours":7.814562515770985,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.814562515770985,"endHours":8.814562515770984,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.814562515770984,"endHours":9.814562515770984,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.814562515770984,"endHours":10.814562515770984,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.814562515770984,"endHours":11.814562515770984,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.814562515770984,"endHours":12.814562515770984,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.814562515770984,"endHours":13.814562515770984,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.814562515770984,"endHours":14.814562515770984,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.814562515770984,"endHours":15.814562515770984,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.814562515770984,"endHours":16.814562515770984,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.814562515770984,"endHours":17.814562515770984,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.814562515770984,"endHours":18.814562515770984,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.814562515770984,"endHours":19.814562515770984,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.814562515770984,"endHours":20.814562515770984,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.814562515770984,"endHours":21.814562515770984,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.814562515770984,"endHours":22.814562515770984,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.814562515770984,"endHours":23.814562515770984,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.814562515770984,"endHours":24.814562515770984,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.814562515770984,"endHours":25.814562515770984,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.814562515770984,"endHours":26.814562515770984,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.814562515770984,"endHours":27.814562515770984,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.814562515770984,"endHours":28.814562515770984,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.814562515770984,"endHours":29.814562515770984,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","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":14.559455102701948,"eotMinutes":-4.561520738215509,"ayanamsa":24.1969}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Navamī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 13, 2024 CE · Mathurā · Vidhyamitra","description":"August 13, 2024 CE for Mathurā: Śukla Navamī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2024-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2024-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2024-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2024-08-13","x-default":"https://vidhyamitra.com/city/mathura/2024-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:57:00.505Z","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":"2026-05-14T14:57:00.505Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:57:00.505Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}