{"id":"vidhyamitra:city-day:mathura:2009-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2009-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2009-08-13","date_display":"August 13, 2009 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":2009,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455056.770833,"kali_year":5111,"ahargana":1866591.2708,"sun":{"sidereal_longitude":115.8257,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":19.8891,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.0634,"elapsed_within_tithi_degrees":0.0634},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.8891,"elapsed_within_degrees":6.5558},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.7148},"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":2009,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455056.770833,"ahargana":1866591.2708,"kali_year":5111,"ayanamsa_lahiri":23.9873,"grahas":{"sun":{"sidereal_longitude":116.451435,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":17.127535000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":4.419},"mars":{"sidereal_longitude":57.65713499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":141.097035,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":298.65343499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":79.76013499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":146.445735,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":279.0118,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":99.0118,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2009,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455056.770833,"kali_year":5111,"ahargana":1866591.2708,"sun":{"sidereal_longitude":115.8257,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":19.8891,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.0634,"elapsed_within_tithi_degrees":0.0634},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.8891,"elapsed_within_degrees":6.5558},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.7148},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.419,"elongation":95.937},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.419,"opposition_distance":84.063}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":0.825,"opposition_distance":0.804}]},"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":13.175080654795844,"dayLengthDisplay":"13 Hours 10 Mins 30 Secs","nightLengthDisplay":"10 Hours 49 Mins 30 Secs","moonriseLocal":"23:11","moonsetLocal":"12:22","rahuKala":{"name":"Rāhu Kāla","start":"14:03","end":"15:41","startHours":14.044663760819738,"endHours":15.691548842669219,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:49","end":"07:27","startHours":5.810238351572336,"endHours":7.457123433421816,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:45","startHours":9.104008515271296,"endHours":10.750893597120777,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.884423837691365,"endHours":9.323593192851227,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.3592000455221624,"endHours":6.710535529650052,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.958609323810396,"endHours":12.83694803413012,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.05356093093289,"endHours":4.931899641252613,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.712314963672682,"endHours":5.810238351572336,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.593625454769564,"endHours":15.471964165089286,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.78531900636818,"endHours":19.18531900636818,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.98531900636818,"endHours":19.534280700318007,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.73531900636818,"endHours":20.48531900636818,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.958609323810396,"endHours":24.83694803413012,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:49","end":"07:27","startHours":5.810238351572336,"endHours":7.457123433421816,"quality":"auspicious"},{"name":"Roga","start":"07:27","end":"09:06","startHours":7.457123433421816,"endHours":9.104008515271296,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:45","startHours":9.104008515271296,"endHours":10.750893597120777,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:24","startHours":10.750893597120777,"endHours":12.397778678970258,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.044663760819738,"quality":"auspicious"},{"name":"Amṛta","start":"14:03","end":"15:41","startHours":14.044663760819738,"endHours":15.691548842669219,"quality":"auspicious"},{"name":"Kāla","start":"15:41","end":"17:20","startHours":15.691548842669219,"endHours":17.338433924518696,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"18:59","startHours":17.338433924518696,"endHours":18.98531900636818,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:59","end":"20:20","startHours":18.98531900636818,"endHours":20.3384339245187,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:41","startHours":20.3384339245187,"endHours":21.691548842669217,"quality":"inauspicious"},{"name":"Śubha","start":"21:41","end":"23:03","startHours":21.691548842669217,"endHours":23.044663760819738,"quality":"auspicious"},{"name":"Roga","start":"23:03","end":"00:24","startHours":23.044663760819738,"endHours":24.39777867897026,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.75089359712078,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:06","startHours":25.75089359712078,"endHours":27.104008515271296,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:27","startHours":27.104008515271296,"endHours":28.457123433421817,"quality":"auspicious"},{"name":"Amṛta","start":"04:27","end":"05:49","startHours":28.457123433421817,"endHours":29.810238351572337,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.810238351572336,"endHours":6.810238351572336,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.810238351572336,"endHours":7.810238351572336,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.810238351572336,"endHours":8.810238351572336,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.810238351572336,"endHours":9.810238351572336,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.810238351572336,"endHours":10.810238351572336,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.810238351572336,"endHours":11.810238351572336,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.810238351572336,"endHours":12.810238351572336,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.810238351572336,"endHours":13.810238351572336,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.810238351572336,"endHours":14.810238351572336,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.810238351572336,"endHours":15.810238351572336,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.810238351572336,"endHours":16.810238351572337,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.810238351572337,"endHours":17.810238351572337,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.810238351572337,"endHours":18.810238351572337,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.810238351572337,"endHours":19.810238351572337,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.810238351572337,"endHours":20.810238351572337,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.810238351572337,"endHours":21.810238351572337,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.810238351572337,"endHours":22.810238351572337,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.810238351572337,"endHours":23.810238351572337,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.810238351572337,"endHours":24.810238351572337,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.810238351572337,"endHours":25.810238351572337,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.810238351572337,"endHours":26.810238351572337,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.810238351572337,"endHours":27.810238351572337,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.810238351572337,"endHours":28.810238351572337,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.810238351572337,"endHours":29.810238351572337,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","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":14.673880716452981,"eotMinutes":-4.561520738215509,"ayanamsa":23.9873}},"calendars":{"vikram_samvat":2066,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1931,"saka_samvatsara":"Virodhi","bengali_samvat":1416,"malayalam_era":1185,"nanakshahi_year":540,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Aṣṭamī · Vikram 2066 Śubhakṛt · Śaka 1931 Virodhi"},"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":[{"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}]},"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, 2009 CE · Mathurā · Vidhyamitra","description":"August 13, 2009 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2009-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2009-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2009-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2009-08-13","x-default":"https://vidhyamitra.com/city/mathura/2009-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:04.905Z","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":"2026-05-14T15:48:04.905Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:04.905Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}