Abstract The motion of a particle in a perturbed gravitational field of a point mass is considered. A constant force is taken as a perturbation. The L-matrix is selected in such a manner that in regular coordinates the separation of variables takes place. Integration of the equations of motion of the problem under consideration is carried out. The solutions are expressed in terms of elliptic functions. A qualitative investigation of the integrals of motion is made, and numerical examples are presented.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    One Integrable Case of the Perturbed Two-Body Problem


    Beteiligte:

    Erschienen in:

    Cosmic Research ; 42 , 4 ; 398-407


    Erscheinungsdatum :

    01.07.2004


    Format / Umfang :

    10 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    One Integrable Case of the Perturbed Two-Body Problem

    Poleshchikov, S. M. | Online Contents | 2004


    Universal formulation for the perturbed two-body problem

    ZADUNAISKY, PEDRO E. / GIORDANO, CLAUDIA M. | AIAA | 1990



    Approximate Finite Fourier Solution to the Periodically Perturbed Two-Body Problem

    Suslov, Kirill / Shirobokov, Maksim / Trofimov, Sergey | AIAA | 2024