Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem

摘要: We consider a planetary system consisting of two primaries, namely star and giant planet, massless secondary, say terrestrial planet or an asteroid, which moves under their gravitational attraction. study the dynamics this in framework circular elliptic restricted TBP, when motion describes orbits, respectively. Originating from family, families symmetric periodic orbits 3/2, 5/2, 3/1, 4/1 5/1 mean-motion resonances are continued problems. New bifurcation points to problem found for each above thus, new families, these herein presented. Stable segments were at high eccentricity values already known considered as whole unstable previously. Moreover, isolated (not points) computed problem. The majority mainly consist stable eccentricities. resonance investigated first time three-body highlight effect on formation regions vicinity unveil boundaries such domains phase space by computing maps dynamical stability. long-term evolution planets asteroids is dependent existence regular neighbourhood space, could host them long spans. This study, besides other celestial architectures that can be efficiently modelled problems, particularly appropriate discovery companions among single-giant systems discovered so far.