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

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

Mar 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cosre..43..122r&link_type=abstract

Cosmic Research, Volume 43, Issue 2, pp.122-130

Computer Science

Scientific paper

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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