{"id":"vidhyamitra:city-day:rishikesh:2045-08-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-08-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-19","date_display":"August 19, 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":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468211.770833,"kali_year":5147,"ahargana":1879746.2708,"sun":{"sidereal_longitude":121.2604,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":202.9637,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.7033,"elapsed_within_tithi_degrees":9.7033},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.9637,"elapsed_within_degrees":2.9637},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.2242},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468211.770833,"ahargana":1879746.2708,"kali_year":5147,"ayanamsa_lahiri":24.4904,"grahas":{"sun":{"sidereal_longitude":122.00251700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":206.46351700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-4.4441},"mars":{"sidereal_longitude":92.22331700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":103.460417,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":314.43251699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":159.84791700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":219.848617,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":301.9966,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.9966,"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":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468211.770833,"kali_year":5147,"ahargana":1879746.2708,"sun":{"sidereal_longitude":121.2604,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":202.9637,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.7033,"elapsed_within_tithi_degrees":9.7033},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.9637,"elapsed_within_degrees":2.9637},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.2242},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.444,"elongation":81.703},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.444,"opposition_distance":98.297}},"eclipse_window_40days":[]},"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":"18:54","solarNoonLocal":"12:20","dayLengthHours":13.131822504888945,"dayLengthDisplay":"13 Hours 07 Mins 55 Secs","nightLengthDisplay":"10 Hours 52 Mins 05 Secs","moonriseLocal":"12:39","moonsetLocal":"23:18","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:42","startHours":9.054095517216556,"endHours":10.695573330327676,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:59","end":"15:37","startHours":13.978528956549912,"endHours":15.620006769661028,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:46","end":"07:25","startHours":5.771139890994321,"endHours":7.412617704105439,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.83523180880174,"endHours":9.272959225631373,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.31829916203136,"endHours":6.668481095495066,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.899323726609161,"endHours":12.774778560268423,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.020230223675795,"endHours":4.895685057335058,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:46","startHours":4.676821348920242,"endHours":5.771139890994321,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.52568822758695,"endHours":15.401143061246215,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.702962395883265,"endHours":19.102962395883264,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.902962395883264,"endHours":19.450121666920303,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.652962395883264,"endHours":20.402962395883264,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.89932372660916,"endHours":24.774778560268423,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:46","end":"07:25","startHours":5.771139890994321,"endHours":7.412617704105439,"quality":"inauspicious"},{"name":"Śubha","start":"07:25","end":"09:03","startHours":7.412617704105439,"endHours":9.054095517216556,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:42","startHours":9.054095517216556,"endHours":10.695573330327676,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:20","startHours":10.695573330327676,"endHours":12.337051143438792,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:59","startHours":12.337051143438792,"endHours":13.978528956549912,"quality":"neutral"},{"name":"Labha","start":"13:59","end":"15:37","startHours":13.978528956549912,"endHours":15.620006769661028,"quality":"auspicious"},{"name":"Amṛta","start":"15:37","end":"17:16","startHours":15.620006769661028,"endHours":17.261484582772148,"quality":"auspicious"},{"name":"Kāla","start":"17:16","end":"18:54","startHours":17.261484582772148,"endHours":18.902962395883264,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:54","end":"20:16","startHours":18.902962395883264,"endHours":20.261484582772148,"quality":"auspicious"},{"name":"Amṛta","start":"20:16","end":"21:37","startHours":20.261484582772148,"endHours":21.62000676966103,"quality":"auspicious"},{"name":"Kāla","start":"21:37","end":"22:59","startHours":21.62000676966103,"endHours":22.97852895654991,"quality":"inauspicious"},{"name":"Śubha","start":"22:59","end":"00:20","startHours":22.97852895654991,"endHours":24.337051143438792,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:42","startHours":24.337051143438792,"endHours":25.695573330327676,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:03","startHours":25.695573330327676,"endHours":27.054095517216556,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:25","startHours":27.054095517216556,"endHours":28.412617704105436,"quality":"neutral"},{"name":"Labha","start":"04:25","end":"05:46","startHours":28.412617704105436,"endHours":29.77113989099432,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.771139890994321,"endHours":6.771139890994321,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.771139890994321,"endHours":7.771139890994321,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.771139890994321,"endHours":8.77113989099432,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.77113989099432,"endHours":9.77113989099432,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.77113989099432,"endHours":10.77113989099432,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.77113989099432,"endHours":11.77113989099432,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.77113989099432,"endHours":12.77113989099432,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.77113989099432,"endHours":13.77113989099432,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.77113989099432,"endHours":14.77113989099432,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.77113989099432,"endHours":15.77113989099432,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.77113989099432,"endHours":16.77113989099432,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.77113989099432,"endHours":17.77113989099432,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.77113989099432,"endHours":18.77113989099432,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.77113989099432,"endHours":19.77113989099432,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.77113989099432,"endHours":20.77113989099432,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.77113989099432,"endHours":21.77113989099432,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.77113989099432,"endHours":22.77113989099432,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.77113989099432,"endHours":23.77113989099432,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.77113989099432,"endHours":24.77113989099432,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.77113989099432,"endHours":25.77113989099432,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.77113989099432,"endHours":26.77113989099432,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.77113989099432,"endHours":27.77113989099432,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.77113989099432,"endHours":28.77113989099432,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.77113989099432,"endHours":29.77113989099432,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","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":12.683440873585445,"eotMinutes":-3.2934686063275223,"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 Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 19, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"August 19, 2045 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:46, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-08-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-08-19","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-08-19","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-08-19","x-default":"https://vidhyamitra.com/city/rishikesh/2045-08-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T00:57:59.628Z","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":"2026-05-17T00:57:59.628Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T00:57:59.628Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}