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Retrieval of the Fluid Love Number k 2 in Exoplanetary Transit Curves

Hellard, Hugo and Csizmadia, Szilard and Padovan, Sebastiano and Rauer, H and Cabrera Perez, Juan and Sohl, Frank and Spohn, Tilman and Breuer, Doris (2019) Retrieval of the Fluid Love Number k 2 in Exoplanetary Transit Curves. The Astrophysical Journal, 878 (2), pp. 119-126. American Astronomical Society. DOI: 10.3847/1538-4357/ab2048 ISSN 0004-637X

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Official URL: https://iopscience.iop.org/article/10.3847/1538-4357/ab2048


We are witness to a great and increasing interest in internal structure, composition, and evolution of exoplanets. However, direct measurements of exoplanetary mass and radius cannot be uniquely interpreted in terms of interior structure, justifying the need for an additional observable. The second degree fluid Love number, k 2, is proportional to the concentration of mass toward the body’s center, hence providing valuable additional information about the internal structure. When hydrostatic equilibrium is assumed for the planetary interior, k 2 is a direct function of the planetary shape. Previous attempts were made to link the observed tidally and rotationally induced planetary oblateness in photometric light curves to k 2 using ellipsoidal shape models. Here, we construct an analytical 3D shape model function of the true planetary mean radius that properly accounts for tidal and rotational deformations. Measuring the true planetary mean radius is critical when one wishes to compare the measured k 2 to interior theoretical expectations. We illustrate the feasibility of our method and show, by applying a Differential Evolution Markov Chain to synthetic data of WASP-121b, that a precision ≤65 ppm/\sqrt{2 {minutes}} is required to reliably retrieve k 2 with present understanding of stellar limb darkening (LD), therefore improving recent results based on ellipsoidal shape models. Any improvement on stellar LD would increase such performance.

Item URL in elib:https://elib.dlr.de/131780/
Document Type:Article
Title:Retrieval of the Fluid Love Number k 2 in Exoplanetary Transit Curves
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hellard, HugoHugo.Hellard (at) dlr.deUNSPECIFIED
Csizmadia, Szilardszilard.csizmadia (at) dlr.deUNSPECIFIED
Padovan, SebastianoSebastiano.Padovan (at) dlr.deUNSPECIFIED
Rauer, Hheiker.rauer (at) dlr.deUNSPECIFIED
Cabrera Perez, JuanJuan.Cabrera (at) dlr.dehttps://orcid.org/0000-0001-6653-5487
Sohl, FrankFrank.Sohl (at) dlr.deUNSPECIFIED
Spohn, TilmanTilman.Spohn (at) dlr.deUNSPECIFIED
Breuer, DorisDoris.Breuer (at) dlr.dehttps://orcid.org/0000-0001-9019-5304
Journal or Publication Title:The Astrophysical Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.3847/1538-4357/ab2048
Page Range:pp. 119-126
Publisher:American Astronomical Society
Keywords:planets and satellites: individual: WASP-121b; planets and satellites: interiors; techniques: photometric; Astrophysics - Earth and Planetary Astrophysics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Science and Exploration
DLR - Research area:Raumfahrt
DLR - Program:R EW - Erforschung des Weltraums
DLR - Research theme (Project):R - Projekt COROT Beteiligung
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Leitungsbereich PF
Institute of Planetary Research > Planetary Physics
Institute of Planetary Research > Extrasolar Planets and Atmospheres
Deposited By: Csizmadia, Szilard
Deposited On:04 Dec 2019 12:29
Last Modified:04 Dec 2019 12:29

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