  In this work we investigate whether a multilayered planet can be approximated
as a homogeneous planet, and in particular how well the dissipation rate of a
multilayered planet can be reproduced with a homogeneous rheology. We study the
case of a stratified body with an icy crust that, according to recent studies,
displays a double peak feature in the tidal response that cannot be reproduced
with a homogeneous planet with an Andrade rheology. We revisit the problem with
a slightly more complex rheology for the homogeneous body, the Sundberg-Cooper
rheology, which naturally has a double peak feature, and apply the model to the
TRAPPIST-1e planet. Our results compare very well with the results obtained
when employing a multilayered model, showing that it is possible to approximate
the behavior of a multilayer icy planet with a homogeneous planet using the
Sundberg-Cooper rheology. This highlights the fact that we do not need the
complexity of the multilayer planet model in order to estimate the tidal
dissipation of an icy planet.
