On the gravitational fields of Maclaurin spheroid models of rotating fluid planets
Kong, D; Zhang, K; Schubert, G
Date: 10 February 2013
Article
Journal
Astrophysical Journal
Publisher
American Astronomical Society
Publisher DOI
Abstract
Hubbard recently derived an important iterative equation for calculating the gravitational coefficients of a Maclaurin spheroid that does not require an expansion in a small distortion parameter. We show that this iterative equation, which is based on an incomplete solution of the Poisson equation, diverges when the distortion parameter ...
Hubbard recently derived an important iterative equation for calculating the gravitational coefficients of a Maclaurin spheroid that does not require an expansion in a small distortion parameter. We show that this iterative equation, which is based on an incomplete solution of the Poisson equation, diverges when the distortion parameter is not sufficiently small. We derive a new iterative equation that is based on a complete solution of the Poisson equation and, hence, always converges when calculating the gravitational coefficients of a Maclaurin spheroid. © 2013. The American Astronomical Society. All rights reserved.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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