Celestial mechanics of elastic bodies
Robert Beig, Bernd G. Schmidt
TL;DR
This paper constructs static and circular orbit configurations of two elastic bodies under gravity, advancing understanding of their equilibrium states in celestial mechanics.
Contribution
It introduces a method to model and analyze static and orbiting elastic bodies in gravitational interaction, a novel approach in celestial mechanics.
Findings
Successfully modeled static configurations of elastic bodies.
Derived conditions for stable circular orbits.
Provided insights into gravitational equilibrium of elastic bodies.
Abstract
We construct time independent configurations of two gravitating elastic bodies. These configurations either correspond to the two bodies moving in a circular orbit around their center of mass or strictly static configurations.
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