J/A+A/620/A178 Code to compute the Love number for exoplanets (Padovan+, 2018)
Matrix-propagator approach to compute fluid Love numbers and applicability to
extrasolar planets.
Padovan S., Spohn T., Baumeister P., Tosi N., Breuer D., Csizmadia Sz.,
Hellard H., Sohl F.
<Astron. Astrophys. 620, A178 (2018)>
=2018A&A...620A.178P 2018A&A...620A.178P (SIMBAD/NED BibCode)
ADC_Keywords: Models ; Exoplanets
Keywords: planets and satellites: interiors -
planets and satellites: fundamental parameters -
planets and satellites: gaseous planets -
planets and satellites: terrestrial planets -
planets and satellites: individual: GJ 436b
Abstract:
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.
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.
We used the matrix-propagator technique, a method frequently used in
the geophysical community.
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.
Description:
The three python scripts provided can be used to compute the Love
number k for a planet given its density profile.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
README.md 117 66 Code ReadMe
scripts/* . 5 Scripts
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Acknowledgements:
Sebastiano Padovan, sebastiano.padovan(at)dlr.de
(End) Patricia Vannier [CDS] 22-Oct-2018