{"id":"vidhyamitra:city-day:mathura:2045-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-18","date_display":"August 18, 2045 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":2045,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468210.770833,"kali_year":5147,"ahargana":1879745.2708,"sun":{"sidereal_longitude":120.3034,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":189.7902,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.4868,"elapsed_within_tithi_degrees":9.4868},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.7902,"elapsed_within_degrees":3.1235},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.0936},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2045,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468210.770833,"ahargana":1879745.2708,"kali_year":5147,"ayanamsa_lahiri":24.4904,"grahas":{"sun":{"sidereal_longitude":121.04065500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":193.16815500000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-4.164},"mars":{"sidereal_longitude":91.57565499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":102.133355,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.557855,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":158.67625500000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":219.83245499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.0496,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.0496,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468210.770833,"kali_year":5147,"ahargana":1879745.2708,"sun":{"sidereal_longitude":120.3034,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":189.7902,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.4868,"elapsed_within_tithi_degrees":9.4868},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.7902,"elapsed_within_degrees":3.1235},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.0936},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.164,"elongation":69.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.164,"opposition_distance":110.513}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"18:54","solarNoonLocal":"12:23","dayLengthHours":13.050275233926788,"dayLengthDisplay":"13 Hours 03 Mins 01 Secs","nightLengthDisplay":"10 Hours 56 Mins 59 Secs","moonriseLocal":"11:39","moonsetLocal":"22:44","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:23","startHours":10.749269891107659,"endHours":12.380554295348507,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:39","end":"17:16","startHours":15.643123103830204,"endHours":17.274407508071054,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:29","end":"09:07","startHours":7.486701082625962,"endHours":9.11798548686681,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.900480899634697,"endHours":9.335490074098924,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.399178146465396,"endHours":6.747185486036777,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.94554512088428,"endHours":12.815563469812734,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.115379980528209,"endHours":4.985398329456661,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.7678937422245475,"endHours":5.855416678385113,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:26","startHours":14.555600167669638,"endHours":15.42561851659809,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.705691912311902,"endHours":19.1056919123119,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.9056919123119,"endHours":19.449453380392185,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.6556919123119,"endHours":20.4056919123119,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.94554512088428,"endHours":24.815563469812734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:51","end":"07:29","startHours":5.855416678385113,"endHours":7.486701082625962,"quality":"neutral"},{"name":"Labha","start":"07:29","end":"09:07","startHours":7.486701082625962,"endHours":9.11798548686681,"quality":"auspicious"},{"name":"Amṛta","start":"09:07","end":"10:45","startHours":9.11798548686681,"endHours":10.749269891107659,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:23","startHours":10.749269891107659,"endHours":12.380554295348507,"quality":"inauspicious"},{"name":"Śubha","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.011838699589356,"quality":"auspicious"},{"name":"Roga","start":"14:01","end":"15:39","startHours":14.011838699589356,"endHours":15.643123103830204,"quality":"inauspicious"},{"name":"Udveg","start":"15:39","end":"17:16","startHours":15.643123103830204,"endHours":17.274407508071054,"quality":"inauspicious"},{"name":"Chala","start":"17:16","end":"18:54","startHours":17.274407508071054,"endHours":18.9056919123119,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:54","end":"20:16","startHours":18.9056919123119,"endHours":20.274407508071054,"quality":"inauspicious"},{"name":"Udveg","start":"20:16","end":"21:39","startHours":20.274407508071054,"endHours":21.643123103830206,"quality":"inauspicious"},{"name":"Chala","start":"21:39","end":"23:01","startHours":21.643123103830206,"endHours":23.011838699589354,"quality":"neutral"},{"name":"Labha","start":"23:01","end":"00:23","startHours":23.011838699589354,"endHours":24.380554295348507,"quality":"auspicious"},{"name":"Amṛta","start":"00:23","end":"01:45","startHours":24.380554295348507,"endHours":25.74926989110766,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:07","startHours":25.74926989110766,"endHours":27.11798548686681,"quality":"inauspicious"},{"name":"Śubha","start":"03:07","end":"04:29","startHours":27.11798548686681,"endHours":28.486701082625963,"quality":"auspicious"},{"name":"Roga","start":"04:29","end":"05:51","startHours":28.486701082625963,"endHours":29.85541667838511,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.855416678385113,"endHours":6.855416678385113,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.855416678385113,"endHours":7.855416678385113,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.855416678385113,"endHours":8.855416678385113,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.855416678385113,"endHours":9.855416678385113,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.855416678385113,"endHours":10.855416678385113,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.855416678385113,"endHours":11.855416678385113,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.855416678385113,"endHours":12.855416678385113,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.855416678385113,"endHours":13.855416678385113,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.855416678385113,"endHours":14.855416678385113,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.855416678385113,"endHours":15.855416678385113,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.855416678385113,"endHours":16.85541667838511,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.85541667838511,"endHours":17.85541667838511,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.85541667838511,"endHours":18.85541667838511,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.85541667838511,"endHours":19.85541667838511,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.85541667838511,"endHours":20.85541667838511,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.85541667838511,"endHours":21.85541667838511,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.85541667838511,"endHours":22.85541667838511,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.85541667838511,"endHours":23.85541667838511,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.85541667838511,"endHours":24.85541667838511,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.85541667838511,"endHours":25.85541667838511,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.85541667838511,"endHours":26.85541667838511,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.85541667838511,"endHours":27.85541667838511,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.85541667838511,"endHours":28.85541667838511,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.85541667838511,"endHours":29.85541667838511,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":13.00878516507219,"eotMinutes":-3.5280577209103767,"ayanamsa":24.4904}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"subrahmanya-shashthi","name":"Subrahmaṇya Ṣaṣṭhī","name_sanskrit":"सुब्रह्मण्य षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya","significance":"Worship of Kārttikeya as Subrahmaṇya.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4},{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 2045 CE · Mathurā · Vidhyamitra","description":"August 18, 2045 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:51, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/2045-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/2045-08-18","x-default":"https://vidhyamitra.com/city/mathura/2045-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:40:46.747Z","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":"2026-05-14T12:40:46.747Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:40:46.747Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}