{"id":"vidhyamitra:city-day:rishikesh:2045-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/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":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:46","sunsetLocal":"18:55","solarNoonLocal":"12:20","dayLengthHours":13.158734726648232,"dayLengthDisplay":"13 Hours 09 Mins 31 Secs","nightLengthDisplay":"10 Hours 50 Mins 29 Secs","moonriseLocal":"11:40","moonsetLocal":"22:38","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:20","startHours":10.696119121184147,"endHours":12.340960962015174,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:17","startHours":15.630644643677233,"endHours":17.275486484508264,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"09:03","startHours":7.406435439522088,"endHours":9.051277280353117,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.831965034908979,"endHours":9.270589525797254,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.309874212301402,"endHours":6.660773805012021,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:47","startHours":11.9023364711269,"endHours":12.779585452903449,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:53","startHours":4.007095635137961,"endHours":4.88434461691451,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:46","startHours":4.665032371470373,"endHours":5.761593598691059,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:25","startHours":14.534083416456548,"endHours":15.411332398233098,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.720328325339292,"endHours":19.12032832533929,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:28","startHours":18.92032832533929,"endHours":19.468608938949636,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.67032832533929,"endHours":20.42032832533929,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:47","startHours":23.9023364711269,"endHours":24.779585452903447,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:46","end":"07:24","startHours":5.761593598691059,"endHours":7.406435439522088,"quality":"neutral"},{"name":"Labha","start":"07:24","end":"09:03","startHours":7.406435439522088,"endHours":9.051277280353117,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:42","startHours":9.051277280353117,"endHours":10.696119121184147,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:20","startHours":10.696119121184147,"endHours":12.340960962015174,"quality":"inauspicious"},{"name":"Śubha","start":"12:20","end":"13:59","startHours":12.340960962015174,"endHours":13.985802802846203,"quality":"auspicious"},{"name":"Roga","start":"13:59","end":"15:38","startHours":13.985802802846203,"endHours":15.630644643677233,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:17","startHours":15.630644643677233,"endHours":17.275486484508264,"quality":"inauspicious"},{"name":"Chala","start":"17:17","end":"18:55","startHours":17.275486484508264,"endHours":18.92032832533929,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:55","end":"20:17","startHours":18.92032832533929,"endHours":20.275486484508264,"quality":"inauspicious"},{"name":"Udveg","start":"20:17","end":"21:38","startHours":20.275486484508264,"endHours":21.630644643677233,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:59","startHours":21.630644643677233,"endHours":22.985802802846205,"quality":"neutral"},{"name":"Labha","start":"22:59","end":"00:20","startHours":22.985802802846205,"endHours":24.340960962015174,"quality":"auspicious"},{"name":"Amṛta","start":"00:20","end":"01:42","startHours":24.340960962015174,"endHours":25.696119121184147,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"03:03","startHours":25.696119121184147,"endHours":27.05127728035312,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:24","startHours":27.05127728035312,"endHours":28.406435439522088,"quality":"auspicious"},{"name":"Roga","start":"04:24","end":"05:46","startHours":28.406435439522088,"endHours":29.761593598691057,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.761593598691059,"endHours":6.761593598691059,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.761593598691059,"endHours":7.761593598691059,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.761593598691059,"endHours":8.761593598691059,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.761593598691059,"endHours":9.761593598691059,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.761593598691059,"endHours":10.761593598691059,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.761593598691059,"endHours":11.761593598691059,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.761593598691059,"endHours":12.761593598691059,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.761593598691059,"endHours":13.761593598691059,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.761593598691059,"endHours":14.761593598691059,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.761593598691059,"endHours":15.761593598691059,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.761593598691059,"endHours":16.761593598691057,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.761593598691057,"endHours":17.761593598691057,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.761593598691057,"endHours":18.761593598691057,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.761593598691057,"endHours":19.761593598691057,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.761593598691057,"endHours":20.761593598691057,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.761593598691057,"endHours":21.761593598691057,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.761593598691057,"endHours":22.761593598691057,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.761593598691057,"endHours":23.761593598691057,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.761593598691057,"endHours":24.761593598691057,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.761593598691057,"endHours":25.761593598691057,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.761593598691057,"endHours":26.761593598691057,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.761593598691057,"endHours":27.761593598691057,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.761593598691057,"endHours":28.761593598691057,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.761593598691057,"endHours":29.761593598691057,"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":"rishikesh"},"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 · Ṛṣikeśa · Vidhyamitra","description":"August 18, 2045 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 05:46, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-08-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-08-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-08-18","x-default":"https://vidhyamitra.com/city/rishikesh/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":"2026-05-16T16:30:47.521Z","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":"2026-05-16T16:30:47.521Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T16:30:47.521Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}