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This paper concerns the behaviour of the apsidal angle for orbits of centralforce system with homogenous potential of degree $-2\leq \alpha\leq 1$ andlogarithmic potential. We derive a formula for the apsidal angle as a fixed-endpoints integral and we study the derivative of the apsidal angle with respectto the angular momentum $\ell$. The monotonicity of the apsidal angle asfunction of $\ell$ is discussed and it is proved in the logarithmic potentialcase.

A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case