{"id":"vidhyamitra:city-day:mathura:2101-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2101-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-08-18","date_display":"August 18, 2101 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":2101,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488663.770833,"kali_year":5203,"ahargana":1900198.2708,"sun":{"sidereal_longitude":118.8779,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":41.8605,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.9826,"elapsed_within_tithi_degrees":6.9826},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.8605,"elapsed_within_degrees":1.8605},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.7384},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2101,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488663.770833,"ahargana":1900198.2708,"kali_year":5203,"ayanamsa_lahiri":25.2727,"grahas":{"sun":{"sidereal_longitude":119.74339999999995,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":43.45170000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":4.3752},"mars":{"sidereal_longitude":33.401700000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":144.04020000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":199.4669,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":159.4715,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":186.95479999999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":298.3512,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.3512,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":2101,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488663.770833,"kali_year":5203,"ahargana":1900198.2708,"sun":{"sidereal_longitude":118.8779,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":41.8605,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.9826,"elapsed_within_tithi_degrees":6.9826},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.8605,"elapsed_within_degrees":1.8605},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.7384},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.375,"elongation":77.017},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.375,"opposition_distance":102.983}},"eclipse_window_40days":[{"offset_days":-9,"type":"lunar","occurs":true,"moon_latitude":-0.866,"opposition_distance":2.572},{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-0.767,"elongation":2.226}]},"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":13.06312896073731,"dayLengthDisplay":"13 Hours 03 Mins 47 Secs","nightLengthDisplay":"10 Hours 56 Mins 13 Secs","moonriseLocal":"00:27","moonsetLocal":"14:09","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:39","startHours":14.013445415440671,"endHours":15.646336535532836,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:51","end":"07:29","startHours":5.848989814979853,"endHours":7.481880935072017,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:45","startHours":9.114772055164181,"endHours":10.747663175256344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.89705323915189,"endHours":9.332490871176468,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:44","startHours":6.393286855010574,"endHours":6.7416369606302355,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.94511666332393,"endHours":12.815991927373084,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:59","startHours":4.107239286881545,"endHours":4.978114550930699,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.7603957349184105,"endHours":5.848989814979853,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:26","startHours":14.557742455471391,"endHours":15.428617719520545,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.712118775717162,"endHours":19.11211877571716,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:27","startHours":18.91211877571716,"endHours":19.45641581574788,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.66211877571716,"endHours":20.41211877571716,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.94511666332393,"endHours":24.815991927373084,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:51","end":"07:29","startHours":5.848989814979853,"endHours":7.481880935072017,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:07","startHours":7.481880935072017,"endHours":9.114772055164181,"quality":"inauspicious"},{"name":"Udveg","start":"09:07","end":"10:45","startHours":9.114772055164181,"endHours":10.747663175256344,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:23","startHours":10.747663175256344,"endHours":12.380554295348507,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.013445415440671,"quality":"auspicious"},{"name":"Amṛta","start":"14:01","end":"15:39","startHours":14.013445415440671,"endHours":15.646336535532836,"quality":"auspicious"},{"name":"Kāla","start":"15:39","end":"17:17","startHours":15.646336535532836,"endHours":17.279227655624997,"quality":"inauspicious"},{"name":"Śubha","start":"17:17","end":"18:55","startHours":17.279227655624997,"endHours":18.91211877571716,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:55","end":"20:17","startHours":18.91211877571716,"endHours":20.279227655624997,"quality":"auspicious"},{"name":"Kāla","start":"20:17","end":"21:39","startHours":20.279227655624997,"endHours":21.646336535532832,"quality":"inauspicious"},{"name":"Śubha","start":"21:39","end":"23:01","startHours":21.646336535532832,"endHours":23.01344541544067,"quality":"auspicious"},{"name":"Roga","start":"23:01","end":"00:23","startHours":23.01344541544067,"endHours":24.380554295348507,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:45","startHours":24.380554295348507,"endHours":25.747663175256342,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:07","startHours":25.747663175256342,"endHours":27.11477205516418,"quality":"neutral"},{"name":"Labha","start":"03:07","end":"04:29","startHours":27.11477205516418,"endHours":28.481880935072017,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:51","startHours":28.481880935072017,"endHours":29.848989814979852,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.848989814979853,"endHours":6.848989814979853,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.848989814979853,"endHours":7.848989814979853,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.848989814979853,"endHours":8.848989814979852,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.848989814979852,"endHours":9.848989814979852,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.848989814979852,"endHours":10.848989814979852,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.848989814979852,"endHours":11.848989814979852,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.848989814979852,"endHours":12.848989814979852,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.848989814979852,"endHours":13.848989814979852,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.848989814979852,"endHours":14.848989814979852,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.848989814979852,"endHours":15.848989814979852,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.848989814979852,"endHours":16.848989814979852,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.848989814979852,"endHours":17.848989814979852,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.848989814979852,"endHours":18.848989814979852,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.848989814979852,"endHours":19.848989814979852,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.848989814979852,"endHours":20.848989814979852,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.848989814979852,"endHours":21.848989814979852,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.848989814979852,"endHours":22.848989814979852,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.848989814979852,"endHours":23.848989814979852,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.848989814979852,"endHours":24.848989814979852,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.848989814979852,"endHours":25.848989814979852,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.848989814979852,"endHours":26.848989814979852,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.848989814979852,"endHours":27.848989814979852,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.848989814979852,"endHours":28.848989814979852,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.848989814979852,"endHours":29.848989814979852,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","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":13.181612119462066,"eotMinutes":-3.5280577209103767,"ayanamsa":25.2727}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"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 Rohiṇī","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 18, 2101 CE · Mathurā · Vidhyamitra","description":"August 18, 2101 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:51, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2101-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2101-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/2101-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/2101-08-18","x-default":"https://vidhyamitra.com/city/mathura/2101-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:36:32.396Z","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":"2026-05-14T13:36:32.396Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:36:32.396Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}