{"id":"vidhyamitra:city-day:mathura:2001-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2001-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-08-13","date_display":"August 13, 2001 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":2001,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452134.770833,"kali_year":5103,"ahargana":1863669.2708,"sun":{"sidereal_longitude":115.8926,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":38.0204,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.1279,"elapsed_within_tithi_degrees":6.1279},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.0204,"elapsed_within_degrees":11.3538},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.913},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2001,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452134.770833,"ahargana":1863669.2708,"kali_year":5103,"ayanamsa_lahiri":23.8756,"grahas":{"sun":{"sidereal_longitude":116.499077,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":35.08367700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-2.6314},"mars":{"sidereal_longitude":235.02747699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":123.871377,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":72.56697700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":79.45247699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":49.280077000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":73.8334,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":253.8334,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":2001,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452134.770833,"kali_year":5103,"ahargana":1863669.2708,"sun":{"sidereal_longitude":115.8926,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":38.0204,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.1279,"elapsed_within_tithi_degrees":6.1279},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.0204,"elapsed_within_degrees":11.3538},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.913},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.631,"elongation":77.872},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.631,"opposition_distance":102.128}},"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":13.176615780774483,"dayLengthDisplay":"13 Hours 10 Mins 36 Secs","nightLengthDisplay":"10 Hours 49 Mins 24 Secs","moonriseLocal":"00:12","moonsetLocal":"13:45","rahuKala":{"name":"Rāhu Kāla","start":"07:27","end":"09:06","startHours":7.456547761179826,"endHours":9.103624733776638,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:24","startHours":10.750701706373448,"endHours":12.397778678970258,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:03","end":"15:42","startHours":14.044855651567069,"endHours":15.69193262416388,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.884014470763729,"endHours":9.323234996789544,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.358496446115286,"endHours":6.709872866935939,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.958558152944443,"endHours":12.836999204996074,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.052588684479751,"endHours":4.931029736531384,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.711419473518475,"endHours":5.809470788583016,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.593881309099338,"endHours":15.47232236115097,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.7860865693575,"endHours":19.1860865693575,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.9860865693575,"endHours":19.53511222688977,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.7360865693575,"endHours":20.4860865693575,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.95855815294444,"endHours":24.836999204996076,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:49","end":"07:27","startHours":5.809470788583016,"endHours":7.456547761179826,"quality":"auspicious"},{"name":"Kāla","start":"07:27","end":"09:06","startHours":7.456547761179826,"endHours":9.103624733776638,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:45","startHours":9.103624733776638,"endHours":10.750701706373448,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:24","startHours":10.750701706373448,"endHours":12.397778678970258,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.044855651567069,"quality":"inauspicious"},{"name":"Chala","start":"14:03","end":"15:42","startHours":14.044855651567069,"endHours":15.69193262416388,"quality":"neutral"},{"name":"Labha","start":"15:42","end":"17:20","startHours":15.69193262416388,"endHours":17.33900959676069,"quality":"auspicious"},{"name":"Amṛta","start":"17:20","end":"18:59","startHours":17.33900959676069,"endHours":18.9860865693575,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:59","end":"20:20","startHours":18.9860865693575,"endHours":20.33900959676069,"quality":"neutral"},{"name":"Labha","start":"20:20","end":"21:42","startHours":20.33900959676069,"endHours":21.69193262416388,"quality":"auspicious"},{"name":"Amṛta","start":"21:42","end":"23:03","startHours":21.69193262416388,"endHours":23.04485565156707,"quality":"auspicious"},{"name":"Kāla","start":"23:03","end":"00:24","startHours":23.04485565156707,"endHours":24.39777867897026,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.750701706373448,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:06","startHours":25.750701706373448,"endHours":27.103624733776638,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:27","startHours":27.103624733776638,"endHours":28.456547761179827,"quality":"inauspicious"},{"name":"Chala","start":"04:27","end":"05:49","startHours":28.456547761179827,"endHours":29.809470788583017,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.809470788583016,"endHours":6.809470788583016,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.809470788583016,"endHours":7.809470788583016,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.809470788583016,"endHours":8.809470788583017,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.809470788583017,"endHours":9.809470788583017,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.809470788583017,"endHours":10.809470788583017,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.809470788583017,"endHours":11.809470788583017,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.809470788583017,"endHours":12.809470788583017,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.809470788583017,"endHours":13.809470788583017,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.809470788583017,"endHours":14.809470788583017,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.809470788583017,"endHours":15.809470788583017,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.809470788583017,"endHours":16.809470788583017,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.809470788583017,"endHours":17.809470788583017,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.809470788583017,"endHours":18.809470788583017,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.809470788583017,"endHours":19.809470788583017,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.809470788583017,"endHours":20.809470788583017,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.809470788583017,"endHours":21.809470788583017,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.809470788583017,"endHours":22.809470788583017,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.809470788583017,"endHours":23.809470788583017,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.809470788583017,"endHours":24.809470788583017,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.809470788583017,"endHours":25.809470788583017,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.809470788583017,"endHours":26.809470788583017,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.809470788583017,"endHours":27.809470788583017,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.809470788583017,"endHours":28.809470788583017,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.809470788583017,"endHours":29.809470788583017,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","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":14.694176606176482,"eotMinutes":-4.561520738215509,"ayanamsa":23.8756}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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, 2001 CE · Mathurā · Vidhyamitra","description":"August 13, 2001 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2001-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2001-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2001-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2001-08-13","x-default":"https://vidhyamitra.com/city/mathura/2001-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:21:12.248Z","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":"2026-05-14T15:21:12.248Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:21:12.248Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}