Abstract The problem of constructing periodic orbits for a spacecraft with low thrust in the gravitational field of the attraction of two massive bodies is studied. It is assumed that mass of one of the bodies is much greater than mass of the other body, the bodies revolve in circular orbits around a common center of mass, reactive acceleration w constant in modulus at all time of the motion is directed to one of the points of the moving Ox axis, and the spacecraft trajectory is a flat curve. The existence of periodic orbits of the first kind is proved, when the spacecraft orbital period is equal to the period of undisturbed circular orbit or depends on a small parameter. On the basis of numerical calculations a family of disturbed periodic orbits close to the circular is constructed.


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    Title :

    Poincaré periodic orbits of the first kind in the planar circular restricted problem of three bodies with small acceleration


    Contributors:

    Published in:

    Cosmic Research ; 53 , 6 ; 469-475


    Publication date :

    2015-11-01


    Size :

    7 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English