  An interpretation to the physics of stable geodesics of massive particles in
black hole backgrounds has been recently proposed in the context of the AdS/CFT
correspondence. It was argued that the existence of stable orbits indicates
that the dual state does not thermalize on a thermal time scale and the bulk
excitations can be interpreted as metastable states in the dual field theory.
Here we study motion of massive particles in the background of the
D-dimensional asymptotically anti-de Sitter (AdS) black holes in the
Einstein-Lovelock theory. We show that, unlike the asymptotically flat case,
for any kind of higher curvature Lovelock corrections there appear a stable
circular orbit at a distance from the black hole. We find the general
analytical expressions for the frequencies of distant circular orbits and
radial oscillation frequencies. We show that the corresponding correction has
the same power as in the Schwarzschild-AdS case, implying a universal scaling
with the temperature for any Lovelock theory.
