Rotational distortion of stars having arbitrary structure described by fourth-order sectorial harmonics

Details Rotational distortion of stars having arbitrary structure described by fourth-order sectorial harmonics Rotational distortion of stars having arbitrary structure described by fourth-order sectorial harmonics

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...47..217e&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 47, Dec. 1989, p. 217-230.

Physics

1

Equipotentials, Rotating Fluids, Spherical Harmonics, Stellar Models, Stellar Rotation, Stellar Structure, Gravitational Fields, Legendre Functions, Stellar Interiors

Scientific paper

In a series of papers, the equilibrium configurations of highly rotating fluid bodies have been derived. The deformation of these inhomogeneous self-gravitating fluid, of arbitrary internal structure are due to centrifugation potential. These level surfaces are expressed in terms of fourth-order sectorial harmonics. In this paper, the main equations of the problem - such as the surface of the distorted body, the gravitational potential at an arbitrary point and the disturbing potential - have been expanded to the fourth-order in terms of the even-order sectorial harmonics.

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