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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Astronomy Reports</journal-id><journal-title-group><journal-title xml:lang="en">Astronomy Reports</journal-title><trans-title-group xml:lang="ru"><trans-title>Астрономический журнал</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0004-6299</issn><issn publication-format="electronic">3034-5170</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">647506</article-id><article-id pub-id-type="doi">10.31857/S0004629923020020</article-id><article-id pub-id-type="edn">CIZPKY</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>СТАТЬИ</subject></subj-group><subj-group subj-group-type="article-type"><subject>Unknown</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Effect of the Eccentricity of the Planet’s Orbit on the Limb Darkening Coefficients of the Eclipsed Star</article-title><trans-title-group xml:lang="ru"><trans-title>Влияние эксцентриситета орбиты планеты на значения коэффициентов потемнения к краю затмеваемой звезды</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Bekesov</surname><given-names>E. V.</given-names></name><name xml:lang="ru"><surname>Бекесов</surname><given-names>Е. В.</given-names></name></name-alternatives><email>egor03121996@mail.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Cherepashchuk</surname><given-names>A. M.</given-names></name><name xml:lang="ru"><surname>Черепащук</surname><given-names>А. М.</given-names></name></name-alternatives><email>cherepashchuk@gmail.com</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Sternberg Astronomical Institute</institution></aff><aff><institution xml:lang="ru">Московский государственный университет им. М.В. Ломоносова</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Moscow State University</institution></aff><aff><institution xml:lang="ru">Государственный астрономический институт им. П.К. Штернберга</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-02-01" publication-format="electronic"><day>01</day><month>02</month><year>2023</year></pub-date><volume>100</volume><issue>2</issue><fpage>173</fpage><lpage>185</lpage><history><date date-type="received" iso-8601-date="2025-01-28"><day>28</day><month>01</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, Е.В. Бекесов, А.М. Черепащук</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, Е.В. Бекесов, А.М. Черепащук</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">Е.В. Бекесов, А.М. Черепащук</copyright-holder><copyright-holder xml:lang="ru">Е.В. Бекесов, А.М. Черепащук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0004-6299/article/view/647506">https://journals.eco-vector.com/0004-6299/article/view/647506</self-uri><abstract xml:lang="en"><p>It is shown that the introduction of a small orbital eccentricity into the model of a binary system with an exoplanet, which is allowed by errors in determining the radial velocities of the eclipsed star, makes possible to significantly reduce and even eliminate the difference in the wavelength dependences between the observed and theoretical values of the limb darkening coefficients of the star HD 209458.</p></abstract><trans-abstract xml:lang="ru"><p id="idm45181323954544">Показано, что введение в модель двойной системы с экзопланетой небольшого эксцентриситета орбиты, допустимого ошибками определения лучевых скоростей затмеваемой звезды, позволяет значительно уменьшить и даже устранить различие в зависимостях от длины волны между наблюдаемыми и теоретическими значениями коэффициентов потемнения к краю звезды HD 209458.</p></trans-abstract><kwd-group xml:lang="en"><kwd>binary systems</kwd><kwd>exoplanets</kwd><kwd>modeling</kwd><kwd>stellar atmospheres</kwd><kwd>stellar limb darkening coefficients</kwd><kwd>HD 209458</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>двойные системы</kwd><kwd>экзопланеты</kwd><kwd>моделирование</kwd><kwd>звездные атмосферы</kwd><kwd>коэффициенты потемнения к краю звезды</kwd><kwd>HD 209458</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>M. 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