High-precision Maclaurin-based models of rotating liquid planets

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33 Scopus citations


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 languageEnglish (US)
Article numberL15
JournalAstrophysical Journal Letters
Issue number1
Publication statusPublished - 2012



  • planets and satellites: interiors

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

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