Fourth-Order Approximation for the Rotational Distortion of Stars of Arbitray Structure.
NAVAL RESEARCH LAB WASHINGTON D C
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Clairauts theory of the rotational distortion of self-gravitating configurations of arbitrary structure, arising from axial rotation with constant angular velocity, previously developed to quantities of third order in superficial distortion, has now been extended to fourth-order terms. The differential equations governing the form and exterior potential of stars rotating in the previously described manner have been set up by the method followed in a previous paper Z. Kopal, Astrophys. Space Sci. 24, 145 1973 together with their boundary conditions. Their applications to practical cases are being postponed for a subsequent investigation.