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タイトルHigh zonal harmonics of rapidly rotating planets
著者(英)Slattery, W. L.; Hubbard, W. B.; Devito, C. L.
発行日1975-07-15
言語eng
内容記述A new perturbation expansion is derived for the structure of rotating bodies in hydrostatic equilibrium. The method uses an expansion of the density on Legendre polynomial functions of angle, and can be developed analytically in a manner analogous to the standard level-surface perturbation theory. The new theory proceeds from a prescribed pressure-density relation rather than from a prescribed density distribution, and is both simpler and more physically transparent than the level-surface approach. High zonal harmonics are shown to arise via a transfer function involving derivatives of the interior sound velocity, and via mixing of multipole density components in the outer shell of the planet. Sample calculations for polytropic sequences are presented, as well as standard gravity models for Jupiter and Saturn. Mathematical subleties of the theory are discussed in an appendix.
NASA分類LUNAR AND PLANETARY EXPLORATION
レポートNO75A38795
権利Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/447337


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