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

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


    Abstract A hydrodynamic analogy for the solution of doubly averaged Hill problem obtained by M.L. Lidov [1] is discussed. S.A. Chaplygin used a similar analogy reducing the two-dimensional problem of motion of a compressible fluid to the same problem for some fictitious incompressible fluid [2]. In this case, we are led to the range of ideas which go back to the work by N.E. Zhukowski [3]. Two versions of this hydrodynamic analogy, on the basis of the model of a stratified fluid (exact analogy) and on the basis of the model of a homogeneous fluid (approximate analogy), are considered as well as some consequences of them.

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    Titel :

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

    Beteiligte:
    Rabinovich, B. I. (Autor:in) / Prokhorenko, V. I. (Autor:in)
    Erschienen in:

    Cosmic Research ; 43 , 2 ; 122-130

    Erscheinungsdatum :

    2005-03-01

    Format / Umfang :

    9 pages

    ISSN :

    1608-3075 , 0010-9525

    DOI :

    https://doi.org/10.1007/s10604-005-0024-6

    Medientyp :

    Aufsatz (Zeitschrift)

    Format :

    Elektronische Ressource

    Sprache :

    Englisch

    Schlagwörter :

    Incompressible Fluid , Compressible Fluid , Stratify Fluid , Homogeneous Fluid , Exact Analogy Physics , Astronomy, Astrophysics and Cosmology , Astrophysics and Astroparticles , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

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