Inertia coefficient considerations and the structure of Jovian planets |
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| Authors: | Carlo Denis |
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| Institution: | (1) Physics Department, Middle East Technical University, Ankara, Turkey;(2) Present address: Institut d'Astrophysique, Université de Liège, Avenue de Cointe, 5, B-4200 Ougrée-Liège, Belgium |
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| Abstract: | For Jupiter, an overall density model of the form =
0(1–x
n
), withn 1/3 and
, is consistent with information presently at hand; for Saturn, however, such a density law would lead to unacceptably high densities in the vicinity of the centre. The limiting cases of the previous law are shown to ben=+ , corresponding to a homogeneous sphere, andn=–3, corresponding to a particular central particle model, investigated by a number of astronomers over the last hundred years. Forn 0, the central density becomes +. Another possible representation, valid both for Jupiter and Saturn, is the density law=
0(1–x)
m
), with
in the case of Jupiter, and
in the case of Saturn. Graber's density law based on a maximum entropy principle leads to unacceptably high surface densities, both for Jupiter and Saturn. Finally, the paper investigates the problems involved in fitting two-layered parametrically simple density laws to theoretically derived much more elaborate models of the Jovian planets. |
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| Keywords: | |
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