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Fig. 3


Specific gravitational force Fp/Σ as a function of distance from the planet. Different approximations are shown: a) an ideal point mass (solid-red) that falls off as 1/r2; b) the exact averaged force according to Eqs. (25) and (20); c) the force according to the smoothed potential of Eq. (23) using here ϵp = 0.7H; and d) a numerically integrated averaged force using 10 grid points in the vertical direction and a maximum zmax = 5H. The force is normalized such that GMp = 1.

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