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arXiv · 1710.08133

The monotonicity of the apsidal angle using the theory of potential oscillators

David Rojas
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Abstract

In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the form $f(r)\sim \lambda r^{-(\alpha+1)}$ with $\alpha<2$ the apsidal angle is a monotonous function of the energy, or equivalently of the orbital eccentricity.

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David Rojas. 2017-10-23. The monotonicity of the apsidal angle using the theory of potential oscillators. https://arxiv.org/abs/1710.08133

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