Abstract
Having formulated the Clairaut second-order differential equations up to the fourth order in superficial distortion due to Hensen's coefficients in the previous article (El-Sharawyet al., 1989 III, hereafter denotes by SM3), we are now in a position to solve them. In this paper we shall discuss the methods of solving the Clairaut theory, to give an explicit form about the distortion of the surfaces of Jupiter and Saturn, numerically up to the fourth-order.
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Marie, M., EL-Shaarawy, M.B. Rotational distortion on the surfaces of Jupiter and Saturn. Earth Moon Planet 64, 227–242 (1994). https://doi.org/10.1007/BF00572150
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DOI: https://doi.org/10.1007/BF00572150