About One Class of Orbits in Three- and Four-Body Problems

Authors: Zvyagin F.V. Published: 31.10.2013
Published in issue: #2(79)/2010  

Category: Navigational & Gyroscopic Systems  
Keywords: three-body problem, Poincar recurrences, Lyapunov’s exponents

By example of the Sun-Earth-spacecraft and Sun-Earth-Moon-spacecraft systems, a class of orbits is considered which comprise the collinear libration points and are located between the Sun and the Earth. An issue of stability of orbits of this class is studied for the case of both the restricted elliptical three-body problem and the bi-circular four-body problem.