We introduce a circular restricted charged three-body problem on the plane. In this model, the gravitational and Coulomb forces, due to the primary bodies, act on a test particle; the net force exerted by some primary body on the test particle can be attractive, repulsive or null. The restricted problem is obtained by the general planar charged three-body problem considering one mass of the three bodies going to zero. We obtain necessary restrictions for the parameters that appear in the problem, in order to be well defined. Taking into account such restriction, we study the existence and linear stability of the triangular equilibrium solutions, as well as its location in the configuration space. We also obtain necessary and sufficient conditions for the existence of the collinear equilibrium solutions.

We present some families of horseshoe periodic orbits in the general planar three-body problem for the case of two equal masses. The considered system is a symmetric version of the one formed by Saturn, Janus and Epimetheus. We use a mass ratio equal to 35 × 10 −5 , corresponding to 10 5 times the Saturn-Janus mass parameter of the restricted case; for this mass ratio the satellites have a significantly bigger influence on the planet than in the classical Saturn, Janus and Epimetheus system. To obtain periodic orbits, we search those horseshoe orbits passing through two reversible configurations. A particular kind of periodic orbits where the minor bodies follow the same path is discussed.

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