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arXiv · 2207.04341

Chaotic dynamics of a spinless axisymmetric extended body around a Schwarzschild black hole

Ricardo A. Mosna·Fernanda F. Rodrigues·Ronaldo S. S. Vieira
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Abstract

We investigate the long-term orbital dynamics of spinless extended bodies in Schwarzschild geometry, and show that periodic deviations from spherical symmetry in the shape of a test body may trigger the onset of chaos. We do this by applying Dixon's formalism at quadrupolar order to a nearly spherical body whose shape oscillates between a prolate and an oblate spheroid. The late-time chaotic behavior is then verified by applying Melnikov's method.

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Ricardo A. Mosna, Fernanda F. Rodrigues, Ronaldo S. S. Vieira. 2022-07-09. Chaotic dynamics of a spinless axisymmetric extended body around a Schwarzschild black hole. https://doi.org/10.1103/physrevd.106.024016

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