This dissertation is the result of the work made under the supervision of J.A. Docobo, Full Professor in Astronomy and Director of the Ramon María Aller Astronomical Observatory of the University of Santiago de Compostela. The core of the dissertation is a compendium of articles published in peer review publications indexed in the Journal Citation Reports, and in the Web of Science. The purpose of this work, suggested by prof. Docobo, is the study of the dynamics planetary systems, focusing on exoplanets and exosatellites in binary stars. The first part of the dissertation is a review of the state of the art in the fields of binary stars and exoplanet research. Then I present the work made in the determination of accurate binary star orbits. The knowledge of precise orbits of these systems is crucial for the determination of the dynamical evolution of the planets in them. The principal part of the dissertation comprises the study of the dynamics of exoplanet systems with exosatellites, and a study of the possible detection of exosatellites by means of the perturbations in the radial velocity signal of the planet.