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arXiv · 2001.04979

Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane

Vittorio De Falco·William Borrelli
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Abstract

The general relativistic Poynting-Robertson effect is a dissipative and non-linear dynamical system obtained by perturbing through radiation processes the geodesic motion of test particles orbiting around a spinning compact object, described by the Kerr metric. Using the Melnikov method we find that, in a suitable range of parameters, chaotic behavior is present in the motion of a test particle driven by the Poynting-Robertson effect in the Kerr equatorial plane.

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Vittorio De Falco, William Borrelli. 2020-01-14. Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane. https://doi.org/10.1103/physrevd.103.064014

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