Abstract
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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Darwin, G. H.: 1910, Scientific Papers, Vol. 3 (Figures of Equilibrium of Rotating Liquid), Cambridge.
El-Shaarawy, M. B.: 1974, Ph.D. Thesis, University of Manchester (unpublished).
Hobson, E. W.: 1931, The Theory of Spherical and Ellipsoidal Harmonics, Cambridge University Press.
Kopal, Z.: 1960, Figures of Equilibrium of Celestial Bodies, University of Wisconsin Press, Madison.
Kopal, Z.: 1973, Astrophys. Space Sci. 24, 145–174.
MacRobert, T. M.: 1948, Spherical Harmonics, Macmillan, New York.
Rainville, E. D.: 1960, Special Functions, MacMillan, New York.
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This work will hereafter be referred to as Paper I.
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El-Shaarawy, M.B. Rotational distortion of stars having arbitrary structure described by fourth-order sectorial harmonics. Earth Moon Planet 47, 217–230 (1989). https://doi.org/10.1007/BF00114101
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DOI: https://doi.org/10.1007/BF00114101