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.
De Falco, V., Borrelli, W., Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane, <<PHYSICAL REVIEW D>>, 2021; 103 (6): N/A-N/A. [doi:10.1103/PhysRevD.103.064014] [http://hdl.handle.net/10807/171287]
Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane
Borrelli, WilliamSecondo
2021
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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