小天体环的轨道动力学

With the development of astronomical observations, it has been found that, not only Saturn, Jupiter and other giant planets, but also some small bodies are surrounded by rings. Focussing on rings of the Centaur 10199 Chariklo, we study the orbital dynamics of particles in the gravitational field of Chariklo, and analyze the impacts of equatorial ellipticity and rotation of Chariklo on the orbital motion of particles. The first kind of periodic orbits and 1:3 resonant periodic orbits are obtained by using KAM torus iteration on the Poincaré sections. The relationship between the position of rings and the mean motion resonances are revealed by analyzing the properties of the periodic orbits. The results show that, the particles in the inner ring of Chariklo are most likely associated with the first kind of periodic orbits and their quasi-periodic orbits, but are also likely associated with the 1:3 resonant periodic orbits and their quasi-periodic orbits. The particles in the outer ring of Chariklo are not associated with the 1:3 resonant periodic orbits, but are associated with the first periodic orbits and their quasi-periodic orbits.