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The combination of transit photometry, radial velocity observations, and asteroseismology has enabled the detailed characterization of both the red giant primary and the M-dwarf companion, along with the tidal interaction and the geometry of the system. The stellar parameters of the red giant primary are determined through the use of asteroseismology and grid-based modelling to give a mass and radius of $M_{\\star }=1.04\\pm 0.06 \\, \\textrm{M}_{\\odot }$ and $R_{\\star }=5.8\\pm 0.2 \\, \\textrm{R}_{\\odot }$, respectively. When combined with transit photometry, the M-dwarf companion is found to have a mass and radius of $M_{\\mathrm{c}}=0.23\\pm 0.01 \\, \\textrm{M}_{\\odot }$ and $R_{\\mathrm{c}}=0.256\\pm 0.007 \\, \\textrm{R}_{\\odot }$. Moreover, through asteroseismology we constrain the age of the system through the red giant primary to be $9.1^{+2.4}_{-1.7}\\,\\mathrm{Gyr}$. This provides a constraint on the age of the M-dwarf secondary, which is difficult to do for other M-dwarf binary systems. In addition, the asteroseismic analysis yields an estimate of the inclination angle of the rotation axis of the red giant star of $i=87.6^{+2.4}_{-1.2}$ degrees. The obliquity of the system \u2013 the angle between the stellar rotation axis and the angle normal to the orbital plane \u2013 is also derived to give $\\psi =4.2^{+2.1}_{-4.2}$ degrees, showing that the system is consistent with alignment. We observe no radius inflation in the M-dwarf companion when compared to current low-mass stellar models.<\/jats:p>","DOI":"10.1093\/mnras\/stz1185","type":"journal-article","created":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T19:57:25Z","timestamp":1556654245000},"page":"14-23","source":"Crossref","is-referenced-by-count":9,"title":["KOI-3890: a high-mass-ratio asteroseismic red giant+M-dwarf eclipsing binary undergoing heartbeat tidal interactions"],"prefix":"10.1093","volume":"487","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3322-5279","authenticated-orcid":false,"given":"James S","family":"Kuszlewicz","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Sonnensystemforschung, Justus-von-Liebig-Weg 3, D-37077\u00a0G\u00f6ttingen, Germany"},{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"given":"Thomas S H","family":"North","sequence":"first","affiliation":[{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"given":"William J","family":"Chaplin","sequence":"first","affiliation":[{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"given":"Allyson","family":"Bieryla","sequence":"first","affiliation":[{"name":"Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA"}]},{"given":"David W","family":"Latham","sequence":"first","affiliation":[{"name":"Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5998-8533","authenticated-orcid":false,"given":"Andrea","family":"Miglio","sequence":"first","affiliation":[{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0656-032X","authenticated-orcid":false,"given":"Keaton J","family":"Bell","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Sonnensystemforschung, Justus-von-Liebig-Weg 3, D-37077\u00a0G\u00f6ttingen, Germany"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"given":"Guy R","family":"Davies","sequence":"first","affiliation":[{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"given":"Saskia","family":"Hekker","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Sonnensystemforschung, Justus-von-Liebig-Weg 3, D-37077\u00a0G\u00f6ttingen, Germany"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, Denmark"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4588-5389","authenticated-orcid":false,"given":"Tiago L","family":"Campante","sequence":"first","affiliation":[{"name":"Instituto de Astrof\u00edsica e Ci\u00eancias do Espa\u00e7o, Universidade do Porto, Rua das Estrelas, P-4150-762 Porto, Portugal"},{"name":"Departamento de F\u00edsica e Astronomia, Faculdade de Ci\u00eancias da Universidade do Porto, Rua do Campo Alegre, s\/n, P-4169-007 Porto, Portugal"}]},{"given":"Sebastien","family":"Deheuvels","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Toulouse, UPS-OMP, IRAP, F-31400 Toulouse, France"},{"name":"CNRS, IRAP, 14, avenue Edouard Belin, F-31400 Toulouse, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9214-5642","authenticated-orcid":false,"given":"Mikkel N","family":"Lund","sequence":"first","affiliation":[{"name":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"},{"name":"Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University, Ny Mukegade 120, DK-8000 Aarhus C, 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