Decaying orbits near a rotating black hole

Physics

Scientific paper

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Scientific paper

We consider orbits of a test body near a rotating black hole. The orbits are perturbed by two effects which drive them away from purely geodesic motion: (i) dissipative interaction with an accretion disc, and (ii) variable driving force, magnitude of which depends on position of the body. The effect of dissipative interaction with the disc medium is proportional to its density, resulting in gradual orbital decay. The origin of the latter term, i.e., the driving force, is also linked to the presence of gas medium: it can be seen as a second order effect modulating the orbital decay. Hence, this effect is important when subsequent transits of the body through the disc medium occur at (almost) the same place during short time span. This kind of a variable perturbation is important because it adds new ingredients to the well-known properties of the geodesic motion.

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