Poynting-Robertson effect as a dissipative system in general relativity

Abstract

We determine for the first time in the literature the analytic form of the Rayleigh potential of the general relativistic Poynting-Robertson effect. The employed procedure is based on the use of an integrating factor and a new integration strategy where the test particle's dissipated energy represents the fundamental variable. The obtained results and their implications are discussed. Finally, concluding remarks and future projects are drawn.

13 pages, 3 figures; Accepted on Physical Review D. Much of this work appeared previously as arXiv:1911.03197, which remains un-published

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• An Update on Monitoring Stellar Orbits in the Galactic Center
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• On the action principle for a system of differential equations
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• Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane
• Three-dimensional general relativistic Poynting-Robertson effect. III. Static and non-spherical quadrupolar massive source
• Timescales of the chaos onset in the general relativistic Poynting-Robertson effect
• Three-dimensional general relativistic Poynting-Robertson effect. IV. Slowly rotating and non-spherical quadrupolar massive source