High-precision Maclaurin-based models of rotating liquid planets

W. B. Hubbard

doi:10.1088/2041-8205/756/1/L15

High-precision Maclaurin-based models of rotating liquid planets

W. B. Hubbard

Lunar and Planetary Lab

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

We present an efficient numerical self-consistent field method for calculating a gravitational model of a rotating liquid planet to spherical harmonic degree ∼30 and a precision ∼10^-12 in the external gravity field. The method's accuracy is validated by comparing results, for Jupiter rotation parameters, with the exact Maclaurin constant-density solution. The method can be generalized to non-constant density.

Original language	English (US)
Article number	L15
Journal	Astrophysical Journal Letters
Volume	756
Issue number	1
DOIs	https://doi.org/10.1088/2041-8205/756/1/L15
State	Published - 2012

Keywords

planets and satellites: interiors

ASJC Scopus subject areas

Astronomy and Astrophysics
Space and Planetary Science

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10.1088/2041-8205/756/1/L15

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title = "High-precision Maclaurin-based models of rotating liquid planets",

abstract = "We present an efficient numerical self-consistent field method for calculating a gravitational model of a rotating liquid planet to spherical harmonic degree ∼30 and a precision ∼10-12 in the external gravity field. The method's accuracy is validated by comparing results, for Jupiter rotation parameters, with the exact Maclaurin constant-density solution. The method can be generalized to non-constant density.",

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AB - We present an efficient numerical self-consistent field method for calculating a gravitational model of a rotating liquid planet to spherical harmonic degree ∼30 and a precision ∼10-12 in the external gravity field. The method's accuracy is validated by comparing results, for Jupiter rotation parameters, with the exact Maclaurin constant-density solution. The method can be generalized to non-constant density.

KW - planets and satellites: interiors

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UR - https://www.scopus.com/pages/publications/84865182129#tab=citedBy

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DO - 10.1088/2041-8205/756/1/L15

M3 - Article

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SN - 2041-8205

VL - 756

JO - Astrophysical Journal Letters

JF - Astrophysical Journal Letters

IS - 1

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ER -

High-precision Maclaurin-based models of rotating liquid planets

Abstract

Keywords

ASJC Scopus subject areas

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