Abstract The geometric analysis applied to the solutions obtained by M.L. Lidov [1] of the satellite version of a restricted circular double-averaged three-body problem allowed us fresh view at the comparative analysis of evolution periods for various elliptical orbits. Based on the similarity theory, the parameters of similitude are invoked for orbits and perturbations. An expression for the period of evolution of three orbit elements through the appropriate similitude parameters is derived. On this basis, a regularity is formulated, the consequences of which are analyzed.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Investigation of Periods of Evolution for Elliptical Orbits in the Double-Averaged Hill Problem


    Contributors:

    Published in:

    Publication date :

    2002




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik / 39.00 Astronomie: Allgemeines / 50.93 Weltraumforschung
    Local classification TIB:    770/3520/8000




    A hydrodynamic analogy of the solution to double-averaged Hill problem

    Rabinovich, B. I. / Prokhorenko, V. I. | Springer Verlag | 2005


    A hydrodynamic analogy of the solution to double-averaged Hill problem

    Rabinovich, B. I. / Prokhorenko, V. I. | Online Contents | 2005



    Elliptical Orbits and their Precession

    Hahn, Alexander J. | Springer Verlag | 2020