Abstract
The paper studies the existence of periodic solutions of a perturbed relativistic Kepler problem of the type ddtmx˙1-|x˙|2/c2=-αx|x|3+ε∇xU(t,x),x∈Rd\\{0},with d=2 or d=3, bifurcating, for ε small enough, from the set of circular solutions of the unperturbed system. Both the case of the fixed-period problem (assuming that U is T-periodic in time) and the case of the fixed-energy problem (assuming that U is independent of time) are considered.
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