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- W64595514 abstract "As shown in the previous chapter, the problem of the motion of dynamical systems which are conservative in the generating approximation and integrable by quadratures can be reduced to the investigation of equations with multi-dimensional fast rotating phase. The corresponding problem can then be treated as the problem of weak interaction of several fast phases, complicated by the presence of some slow variables. In this regard, it is desirable to select the class of problems which, by means of pure physical reasoning, can be deemed to be problems of the weak interaction of real dynamical objects from the very beginning. Indeed, only such problems can be reduced to the analysis of equations with a sufficiently large number of fast phases. When the weak physical interaction is absent, one has to consider in the generating approximation either the Keplerian problem of the motion of a particle about an attracting centre or a rigid body with an immovable point or some other integrable problem. Of course, all of these problems are of crucial importance. However their total number, as well as the order of the corresponding equations, are relatively low." @default.
- W64595514 created "2016-06-24" @default.
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- W64595514 date "2003-01-01" @default.
- W64595514 modified "2023-09-25" @default.
- W64595514 title "The problem of weak interaction of dynamical objects" @default.
- W64595514 doi "https://doi.org/10.1007/978-3-540-45761-9_7" @default.
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