{"id":"vidhyamitra:city-day:mathura:2018-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2018-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-08-20","date_display":"August 20, 2018 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":2018,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458350.770833,"kali_year":5120,"ahargana":1869885.2708,"sun":{"sidereal_longitude":122.2049,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":229.2714,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.0666,"elapsed_within_tithi_degrees":11.0666},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.2714,"elapsed_within_degrees":2.6048},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.4763},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2018,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458350.770833,"ahargana":1869885.2708,"kali_year":5120,"ayanamsa_lahiri":24.1133,"grahas":{"sun":{"sidereal_longitude":122.88598000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":232.38088000000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":3.6943},"mars":{"sidereal_longitude":274.63288,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":107.19767999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":201.46968000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":168.51207999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":248.55867999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":104.4798,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":284.4798,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2018,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458350.770833,"kali_year":5120,"ahargana":1869885.2708,"sun":{"sidereal_longitude":122.2049,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":229.2714,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.0666,"elapsed_within_tithi_degrees":11.0666},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.2714,"elapsed_within_degrees":2.6048},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.4763},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.694,"elongation":107.067},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.694,"opposition_distance":72.933}},"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":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.01336576316016,"dayLengthDisplay":"13 Hours 00 Mins 48 Secs","nightLengthDisplay":"10 Hours 59 Mins 12 Secs","moonriseLocal":"14:28","moonsetLocal":"00:53","rahuKala":{"name":"Rāhu Kāla","start":"07:30","end":"09:07","startHours":7.492574687323779,"endHours":9.119245407718799,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:22","startHours":10.74591612811382,"endHours":12.372586848508838,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:00","end":"15:38","startHours":13.999257568903857,"endHours":15.625928289298878,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.902355978332796,"endHours":9.336134837104801,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.408127540393766,"endHours":6.7551506274113695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.938807989736834,"endHours":12.806365707280843,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.130788531840738,"endHours":4.998346249384748,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.781456819998745,"endHours":5.865903966928759,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:25","startHours":14.541481142368866,"endHours":15.409038859912878,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.67926973008892,"endHours":19.079269730088917,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.879269730088918,"endHours":19.421493303553923,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.629269730088918,"endHours":20.379269730088918,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.938807989736834,"endHours":24.806365707280843,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:52","end":"07:30","startHours":5.865903966928759,"endHours":7.492574687323779,"quality":"auspicious"},{"name":"Kāla","start":"07:30","end":"09:07","startHours":7.492574687323779,"endHours":9.119245407718799,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:45","startHours":9.119245407718799,"endHours":10.74591612811382,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:22","startHours":10.74591612811382,"endHours":12.372586848508838,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":13.999257568903857,"quality":"inauspicious"},{"name":"Chala","start":"14:00","end":"15:38","startHours":13.999257568903857,"endHours":15.625928289298878,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:15","startHours":15.625928289298878,"endHours":17.2525990096939,"quality":"auspicious"},{"name":"Amṛta","start":"17:15","end":"18:53","startHours":17.2525990096939,"endHours":18.879269730088918,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:53","end":"20:15","startHours":18.879269730088918,"endHours":20.2525990096939,"quality":"neutral"},{"name":"Labha","start":"20:15","end":"21:38","startHours":20.2525990096939,"endHours":21.625928289298876,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"23:00","startHours":21.625928289298876,"endHours":22.999257568903857,"quality":"auspicious"},{"name":"Kāla","start":"23:00","end":"00:22","startHours":22.999257568903857,"endHours":24.37258684850884,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:45","startHours":24.37258684850884,"endHours":25.74591612811382,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:07","startHours":25.74591612811382,"endHours":27.1192454077188,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:30","startHours":27.1192454077188,"endHours":28.492574687323778,"quality":"inauspicious"},{"name":"Chala","start":"04:30","end":"05:52","startHours":28.492574687323778,"endHours":29.86590396692876,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.865903966928759,"endHours":6.865903966928759,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.865903966928759,"endHours":7.865903966928759,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.865903966928759,"endHours":8.865903966928759,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.865903966928759,"endHours":9.865903966928759,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.865903966928759,"endHours":10.865903966928759,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.865903966928759,"endHours":11.865903966928759,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.865903966928759,"endHours":12.865903966928759,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.865903966928759,"endHours":13.865903966928759,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.865903966928759,"endHours":14.865903966928759,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.865903966928759,"endHours":15.865903966928759,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.865903966928759,"endHours":16.86590396692876,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.86590396692876,"endHours":17.86590396692876,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.86590396692876,"endHours":18.86590396692876,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.86590396692876,"endHours":19.86590396692876,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.86590396692876,"endHours":20.86590396692876,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.86590396692876,"endHours":21.86590396692876,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.86590396692876,"endHours":22.86590396692876,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.86590396692876,"endHours":23.86590396692876,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.86590396692876,"endHours":24.86590396692876,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.86590396692876,"endHours":25.86590396692876,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.86590396692876,"endHours":26.86590396692876,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.86590396692876,"endHours":27.86590396692876,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.86590396692876,"endHours":28.86590396692876,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.86590396692876,"endHours":29.86590396692876,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.510869135677092,"eotMinutes":-3.0500109105302213,"ayanamsa":24.1133}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Navamī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5},{"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 20, 2018 CE · Mathurā · Vidhyamitra","description":"August 20, 2018 CE for Mathurā: Śukla Navamī, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2018-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2018-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/2018-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/2018-08-20","x-default":"https://vidhyamitra.com/city/mathura/2018-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:39:58.747Z","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":"2026-05-14T11:39:58.747Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:39:58.747Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}