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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Generating Solutions for Periodic Orbits in the Circular Restricted Three-Body Problem


    Additional title:

    J Astronaut Sci


    Contributors:

    Published in:

    Publication date :

    2020-12-01


    Size :

    20 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English