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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… Click to show full 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 $$f(r)\sim \lambda r^{-\,(\alpha +1)}$$f(r)∼λr-(α+1) with $$\alpha <2$$α<2 the apsidal angle is a monotonous function of the energy, or equivalently of the orbital eccentricity.
Keywords:
angle;
monotonicity apsidal;
theory potential;
apsidal angle;
angle using;
using theory
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
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Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
Link to full text (if available)
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recommendations!