Journal
ASTROPHYSICAL JOURNAL
Volume 764, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0004-637X/764/1/67
Keywords
gravitation; hydrodynamics; planets and satellites: general; planets and satellites: interiors
Categories
Funding
- UK NERC
- STFC
- Leverhulme
- National Science Foundation [NSF AST-0909206]
- Natural Environment Research Council [NE/G003548/1] Funding Source: researchfish
- Direct For Mathematical & Physical Scien
- Division Of Astronomical Sciences [0909206] Funding Source: National Science Foundation
- NERC [NE/G003548/1] Funding Source: UKRI
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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.
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