Love numbers of the terrestrial planets

Statistics – Computation

Scientific paper

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Computational Astrophysics, Planetary Structure, Terrestrial Planets, Astronomical Models, Planetary Cores

Scientific paper

The latest geodetic parameters of the terrestrial planets are used to construct parametric models of the internal structure of the terrestrial planets. These models are then used to compute the static Love numbers from order 2 to 30. The influence of the outer core rigidity on the second-order Love numbers is discussed. The obtained results indicate that the probable ranges of the second-order Love numbers for Venus are: h2 = 0.36-0.52, k2 = 0.18-0.26, l2 = 0.08; those of Mars are: h2 = 0.10-0.17, k2 = 0.06-0.09, l2 = 0.03; and the upper limit of second-order Love numbers, k2, for Mercury is about 0.10. If a value of k2 greater than 0.10 is obtained for Mercury in future space explorations, then there is reason to anticipate a partially melted core existing on this planet.

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