{"id":"vidhyamitra:city-day:mathura:-3208-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3208-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-08-18","date_display":"August 18, 3209 BCE","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":-3208,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549565.770833,"kali_year":-106,"ahargana":-38899.7292,"sun":{"sidereal_longitude":177.9972,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":83.357,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.3598,"elapsed_within_tithi_degrees":1.3598},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":83.357,"elapsed_within_degrees":3.357},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.3542},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":-3208,"month":8,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549565.770833,"ahargana":-38899.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8906,"grahas":{"sun":{"sidereal_longitude":177.9972,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":83.357,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":0.1774},"mars":{"sidereal_longitude":150.9881,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":203.9267,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":13.1809,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":225.3766,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":151.4243,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":81.0948,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.0948,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3208,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549565.770833,"kali_year":-106,"ahargana":-38899.7292,"sun":{"sidereal_longitude":177.9972,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":83.357,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.3598,"elapsed_within_tithi_degrees":1.3598},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":83.357,"elapsed_within_degrees":3.357},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.3542},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.177,"elongation":94.64},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.177,"opposition_distance":85.36}},"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":"05:40","sunsetLocal":"19:06","solarNoonLocal":"12:23","dayLengthHours":13.42990858548594,"dayLengthDisplay":"13 Hours 25 Mins 48 Secs","nightLengthDisplay":"10 Hours 34 Mins 12 Secs","moonriseLocal":"23:34","moonsetLocal":"12:35","rahuKala":{"name":"Rāhu Kāla","start":"14:04","end":"15:44","startHours":14.05929286853425,"endHours":15.738031441719992,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:40","end":"07:21","startHours":5.665600002605537,"endHours":7.344338575791279,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:01","end":"10:42","startHours":9.023077148977022,"endHours":10.701815722162763,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.799245339218922,"endHours":9.246908958735121,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.225179527000784,"endHours":6.583310422613742,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.932890675832308,"endHours":12.828217914864705,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:46","startHours":3.8749455245407445,"endHours":4.770272763573141,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:40","startHours":4.546440953815042,"endHours":5.665600002605537,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:31","startHours":14.618872392929497,"endHours":15.514199631961892,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.895508588091477,"endHours":19.295508588091476,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.095508588091477,"endHours":19.655088112486723,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.845508588091477,"endHours":20.595508588091477,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.932890675832308,"endHours":24.828217914864705,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:40","end":"07:21","startHours":5.665600002605537,"endHours":7.344338575791279,"quality":"auspicious"},{"name":"Roga","start":"07:21","end":"09:01","startHours":7.344338575791279,"endHours":9.023077148977022,"quality":"inauspicious"},{"name":"Udveg","start":"09:01","end":"10:42","startHours":9.023077148977022,"endHours":10.701815722162763,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:23","startHours":10.701815722162763,"endHours":12.380554295348507,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:04","startHours":12.380554295348507,"endHours":14.05929286853425,"quality":"auspicious"},{"name":"Amṛta","start":"14:04","end":"15:44","startHours":14.05929286853425,"endHours":15.738031441719992,"quality":"auspicious"},{"name":"Kāla","start":"15:44","end":"17:25","startHours":15.738031441719992,"endHours":17.416770014905733,"quality":"inauspicious"},{"name":"Śubha","start":"17:25","end":"19:06","startHours":17.416770014905733,"endHours":19.095508588091477,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:06","end":"20:25","startHours":19.095508588091477,"endHours":20.416770014905733,"quality":"auspicious"},{"name":"Kāla","start":"20:25","end":"21:44","startHours":20.416770014905733,"endHours":21.73803144171999,"quality":"inauspicious"},{"name":"Śubha","start":"21:44","end":"23:04","startHours":21.73803144171999,"endHours":23.05929286853425,"quality":"auspicious"},{"name":"Roga","start":"23:04","end":"00:23","startHours":23.05929286853425,"endHours":24.380554295348507,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:42","startHours":24.380554295348507,"endHours":25.701815722162763,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"03:01","startHours":25.701815722162763,"endHours":27.023077148977023,"quality":"neutral"},{"name":"Labha","start":"03:01","end":"04:21","startHours":27.023077148977023,"endHours":28.34433857579128,"quality":"auspicious"},{"name":"Amṛta","start":"04:21","end":"05:40","startHours":28.34433857579128,"endHours":29.665600002605537,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.665600002605537,"endHours":6.665600002605537,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.665600002605537,"endHours":7.665600002605537,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.665600002605537,"endHours":8.665600002605537,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.665600002605537,"endHours":9.665600002605537,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.665600002605537,"endHours":10.665600002605537,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.665600002605537,"endHours":11.665600002605537,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.665600002605537,"endHours":12.665600002605537,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.665600002605537,"endHours":13.665600002605537,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.665600002605537,"endHours":14.665600002605537,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.665600002605537,"endHours":15.665600002605537,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.665600002605537,"endHours":16.665600002605537,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.665600002605537,"endHours":17.665600002605537,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.665600002605537,"endHours":18.665600002605537,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.665600002605537,"endHours":19.665600002605537,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.665600002605537,"endHours":20.665600002605537,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.665600002605537,"endHours":21.665600002605537,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.665600002605537,"endHours":22.665600002605537,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.665600002605537,"endHours":23.665600002605537,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.665600002605537,"endHours":24.665600002605537,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.665600002605537,"endHours":25.665600002605537,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.665600002605537,"endHours":26.665600002605537,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.665600002605537,"endHours":27.665600002605537,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.665600002605537,"endHours":28.665600002605537,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.665600002605537,"endHours":29.665600002605537,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","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":17.976684346582164,"eotMinutes":-3.5280577209103767,"ayanamsa":-48.8906}},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram -3151 undefined · Śaka -3286 undefined"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":true,"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, 3209 BCE · Mathurā · Vidhyamitra","description":"August 18, 3209 BCE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 05:40, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3208-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3208-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/-3208-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/-3208-08-18","x-default":"https://vidhyamitra.com/city/mathura/-3208-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:00:04.217Z","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":"2026-05-14T15:00:04.217Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:00:04.217Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}