Helical motion of elastic spheres

Stephan Broda

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arXiv · 1108.0325

Helical motion of elastic spheres

Stephan Broda

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Abstract

We study the elastic deformations that appear due to tidal and centrifugal forces acting on an elastic sphere in helical motion in a spherically symmetric gravitational field, where gravity is considered to be given by either a Newtonian or a Schwarzschild background. We review an existence/uniqueness theorem based on the implicit function theorem for the nonrelativistic case and give explicit solutions to the linearized elastostatic equations in both cases.

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Stephan Broda. 2011-08-01. Helical motion of elastic spheres. https://arxiv.org/abs/1108.0325

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