This paper proposes a method for calculating the periodic orbits in the Circular Restricted Three-Body Problem. The solution is based on the continuation method with a parameter. The parameter is the angular velocity of rotation of the attracting masses around their barycenter. Analytical periodic solutions of the problem of two fixed attracting masses serve as generating solutions. Seven possible generating solutions are described. Numerical examples of the initial conditions are given for the Earth–Moon system, making it possible to calculate the described orbits and their graphic illustrations.
Generating Solutions for Periodic Orbits in the Circular Restricted Three-Body Problem
J Astronaut Sci
The Journal of the Astronautical Sciences ; 67 , 4 ; 1300-1319
01.12.2020
20 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch