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Recent studies have analyzed the dynamical evolution of outer small bodypopulations under the effects of an eccentric inner massive perturber. Suchouter reservoirs are composed of particles on prograde and retrograde orbits,as well as particles whose orbit flips from prograde to retrograde and backagain showing a coupling between the inclination i and the ascending nodelongitude \Omega (Type-F particles). We analyze the role of the GeneralRelativity (GR) on the dynamics of outer particles under the influence of aninner eccentric Jupiter-mass planet produced by a planetary scattering event.In particular, we study how the GR affects the dynamical evolution of the outerType-F particles, which experience an eccentric Lidov-Kozai mechanism. We carryout N-body simulations with and without GR effects. When the GR is included,the extreme values of \Omega are obtained for retrograde inclinations, whilethe minimum and maximum inclinations allowed for Type-F particles increase incomparison with that derived without GR effects. According to this, if the GRis included in the simulations, the range of prograde (retrograde) inclinationsof the libration region is reduced (increased) respect to that obtained inabsence of GR. We find two new class of particles when the GR effects areincluded in the simulations. On the one hand, particles whose orbital planeflips from prograde to retrograde and back again without experiencing acoupling between i and \Omega. On the other hand, retrograde particles thatshow a strong coupling between i and \Omega. We infer that the GR maysignificantly modify the dynamical properties of the outer reservoirs thatevolve under the effects of an eccentric inner perturber.

The role of the general relativity on icy body reservoirs under the effects of an inner eccentric Jupiter