{"id":"vidhyamitra:city-day:mathura:2015-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-08-18","date_display":"August 18, 2015 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":2015,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457252.770833,"kali_year":5117,"ahargana":1868787.2708,"sun":{"sidereal_longitude":120.0764,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":161.0629,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9866,"elapsed_within_tithi_degrees":4.9866},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.0629,"elapsed_within_degrees":1.0629},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.1393},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2015,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457252.770833,"ahargana":1868787.2708,"kali_year":5117,"ayanamsa_lahiri":24.0713,"grahas":{"sun":{"sidereal_longitude":120.73913199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":158.19663200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-0.1251},"mars":{"sidereal_longitude":101.593232,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":142.42103199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":126.59813200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":116.888532,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":214.19293199999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":162.6572,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":342.6572,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457252.770833,"kali_year":5117,"ahargana":1868787.2708,"sun":{"sidereal_longitude":120.0764,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":161.0629,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9866,"elapsed_within_tithi_degrees":4.9866},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.0629,"elapsed_within_degrees":1.0629},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.1393},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.125,"elongation":40.987},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.125,"opposition_distance":139.013}},"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":"05:51","sunsetLocal":"18:55","solarNoonLocal":"12:23","dayLengthHours":13.068248876484873,"dayLengthDisplay":"13 Hours 04 Mins 06 Secs","nightLengthDisplay":"10 Hours 55 Mins 54 Secs","moonriseLocal":"08:52","moonsetLocal":"20:53","rahuKala":{"name":"Rāhu Kāla","start":"15:39","end":"17:17","startHours":15.647616514469725,"endHours":17.281147624030332,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:45","startHours":9.113492076227288,"endHours":10.747023185787896,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.014085404909114,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.895687928285874,"endHours":9.331296224168701,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.390940226959605,"endHours":6.7394268636658685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.944945999465677,"endHours":12.816162591231336,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:59","startHours":4.103996673574753,"endHours":4.975213265340411,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:51","startHours":4.757409117398996,"endHours":5.846429857106069,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:26","startHours":14.55859577476265,"endHours":15.429812366528308,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.714678733590944,"endHours":19.114678733590942,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:28","startHours":18.914678733590943,"endHours":19.45918910344448,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.664678733590943,"endHours":20.414678733590943,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.944945999465677,"endHours":24.816162591231336,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:51","end":"07:29","startHours":5.846429857106069,"endHours":7.479960966666678,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:07","startHours":7.479960966666678,"endHours":9.113492076227288,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:45","startHours":9.113492076227288,"endHours":10.747023185787896,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:23","startHours":10.747023185787896,"endHours":12.380554295348507,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.014085404909114,"quality":"auspicious"},{"name":"Kāla","start":"14:01","end":"15:39","startHours":14.014085404909114,"endHours":15.647616514469725,"quality":"inauspicious"},{"name":"Śubha","start":"15:39","end":"17:17","startHours":15.647616514469725,"endHours":17.281147624030332,"quality":"auspicious"},{"name":"Roga","start":"17:17","end":"18:55","startHours":17.281147624030332,"endHours":18.914678733590943,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:55","end":"20:17","startHours":18.914678733590943,"endHours":20.281147624030332,"quality":"inauspicious"},{"name":"Śubha","start":"20:17","end":"21:39","startHours":20.281147624030332,"endHours":21.647616514469725,"quality":"auspicious"},{"name":"Roga","start":"21:39","end":"23:01","startHours":21.647616514469725,"endHours":23.014085404909117,"quality":"inauspicious"},{"name":"Udveg","start":"23:01","end":"00:23","startHours":23.014085404909117,"endHours":24.380554295348507,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:45","startHours":24.380554295348507,"endHours":25.747023185787896,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:07","startHours":25.747023185787896,"endHours":27.11349207622729,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:29","startHours":27.11349207622729,"endHours":28.47996096666668,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:51","startHours":28.47996096666668,"endHours":29.84642985710607,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.846429857106069,"endHours":6.846429857106069,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.846429857106069,"endHours":7.846429857106069,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.846429857106069,"endHours":8.84642985710607,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.84642985710607,"endHours":9.84642985710607,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.84642985710607,"endHours":10.84642985710607,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.84642985710607,"endHours":11.84642985710607,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.84642985710607,"endHours":12.84642985710607,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.84642985710607,"endHours":13.84642985710607,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.84642985710607,"endHours":14.84642985710607,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.84642985710607,"endHours":15.84642985710607,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.84642985710607,"endHours":16.84642985710607,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.84642985710607,"endHours":17.84642985710607,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.84642985710607,"endHours":18.84642985710607,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.84642985710607,"endHours":19.84642985710607,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.84642985710607,"endHours":20.84642985710607,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.84642985710607,"endHours":21.84642985710607,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.84642985710607,"endHours":22.84642985710607,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.84642985710607,"endHours":23.84642985710607,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.84642985710607,"endHours":24.84642985710607,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.84642985710607,"endHours":25.84642985710607,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.84642985710607,"endHours":26.84642985710607,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.84642985710607,"endHours":27.84642985710607,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.84642985710607,"endHours":28.84642985710607,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.84642985710607,"endHours":29.84642985710607,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.250369335852797,"eotMinutes":-3.5280577209103767,"ayanamsa":24.0713}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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 18, 2015 CE · Mathurā · Vidhyamitra","description":"August 18, 2015 CE for Mathurā: Śukla Caturthī, sūryodaya 05:51, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/2015-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/2015-08-18","x-default":"https://vidhyamitra.com/city/mathura/2015-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:41:29.722Z","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":"2026-05-14T21:41:29.722Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:41:29.722Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}