Matrix-propagator approach to compute fluid Love numbers and applicability to extrasolar planets

dc.contributor.authorPadovan, Sebastiano
dc.contributor.authorSpohn, T.
dc.contributor.authorBaumeister, Philipp
dc.contributor.authorTosi, Nicola
dc.contributor.authorBreuer, D.
dc.contributor.authorCsizmadia, Sz.
dc.contributor.authorHellard, H.
dc.contributor.authorSohl, F.
dc.date.accessioned2020-12-28T08:47:44Z
dc.date.available2020-12-28T08:47:44Z
dc.date.issued2018-12-12
dc.description.abstractContext. The mass and radius of a planet directly provide its bulk density, which can be interpreted in terms of its overall composition. Any measure of the radial mass distribution provides a first step in constraining the interior structure. The fluid Love number k2 provides such a measure, and estimates of k2 for extrasolar planets are expected to be available in the coming years thanks to improved observational facilities and the ever-extending temporal baseline of extrasolar planet observations. Aims. We derive a method for calculating the Love numbers kn of any object given its density profile, which is routinely calculated from interior structure codes. Methods. We used the matrix-propagator technique, a method frequently used in the geophysical community. Results. We detail the calculation and apply it to the case of GJ 436b, a classical example of the degeneracy of mass-radius relationships, to illustrate how measurements of k2 can improve our understanding of the interior structure of extrasolar planets. We implemented the method in a code that is fast, freely available, and easy to combine with preexisting interior structure codes. While the linear approach presented here for the calculation of the Love numbers cannot treat the presence of nonlinear effects that may arise under certain dynamical conditions, it is applicable to close-in gaseous extrasolar planets like hot Jupiters, likely the first targets for which k2 will be measured.en
dc.description.sponsorshipDFG, 280637173, FOR 2440: Materie im Inneren von Planeten - Hochdruck-, Planeten- und Plasmaphysiken
dc.description.sponsorshipDFG, 313698196, SPP 1992: Exploration der Diversität extrasolarer Planetenen
dc.identifier.eissn1432-0746
dc.identifier.issn0004-6361
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12247
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11123
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc520 Astronomie und zugeordnete Wissenschaftende
dc.subject.otherplanetsen
dc.subject.othersatellitesen
dc.subject.othergaseous planetsen
dc.subject.otherterrestrial planetsen
dc.subject.otherGJ 436ben
dc.titleMatrix-propagator approach to compute fluid Love numbers and applicability to extrasolar planetsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumberA178en
dcterms.bibliographicCitation.doi10.1051/0004-6361/201834181en
dcterms.bibliographicCitation.journaltitleAstronomy and Astrophysicsen
dcterms.bibliographicCitation.originalpublishernameEDP Sciencesen
dcterms.bibliographicCitation.originalpublisherplaceLes Ulisen
dcterms.bibliographicCitation.volume620en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Zentrum für Astronomie und Astrophysikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteZentrum für Astronomie und Astrophysikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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