Suppose that the gravitational force is not give by the inverse-square law, and instead is F grav = (+) where A and B are real constants. Derive the equations of motion and determine whether angular momentum is conserved. By using the substitution r = 1/u, trans- form the radial component of the equations of motion into a differential equation for u as a function of the angular coordinate 0. Determine for what values of A, B, and integration constants stationary solutions exist and whether they are stable.

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