Ratio of kinetic and potential energy of Kepler motion

TL;DR

This paper derives a general expression for the ratio of kinetic to potential energy at any point in a Kepler orbit, extending previous findings limited to perihelion.

Contribution

It introduces a new formula for the energy ratio at arbitrary points in Keplerian motion, broadening understanding of orbital energy distributions.

Findings

Derived a general expression for energy ratio at any orbit position.

Extended previous perihelion-specific results to general orbital points.

Provides insights into energy dynamics in Keplerian systems.

Abstract

Recently it was shown that the ratio of kinetic and potential energy at the perihelion of a Kepler orbit relates to the ellipse eccentricity. Here, a general expression for the that ratio at any position on the orbit is presented.