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

48 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

Access to Document

10.1088/2041-8205/756/1/L15

Cite this

@article{64d7fc0acf0e4437a9a84ad0e251e13b,

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.",

keywords = "planets and satellites: interiors",

author = "Hubbard, {W. B.}",

year = "2012",

doi = "10.1088/2041-8205/756/1/L15",

language = "English (US)",

volume = "756",

journal = "Astrophysical Journal Letters",

issn = "2041-8205",

publisher = "American Astronomical Society",

number = "1",

}

TY - JOUR

T1 - High-precision Maclaurin-based models of rotating liquid planets

AU - Hubbard, W. B.

PY - 2012

Y1 - 2012

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84865182129&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865182129&partnerID=8YFLogxK

U2 - 10.1088/2041-8205/756/1/L15

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

M3 - Article

AN - SCOPUS:84865182129

SN - 2041-8205

VL - 756

JO - Astrophysical Journal Letters

JF - Astrophysical Journal Letters

IS - 1

M1 - L15

ER -

High-precision Maclaurin-based models of rotating liquid planets

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this