This article is cited in 2 papers

On integrability of the Euler–Poisson equations

A. D. Bruno^a, V. F. Edneral<sup>b

a</sup> M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: We consider a special case of the Euler–Poisson system of equations, describing the motion of a rigid body around a fixed point. We find 44 sets of stationary solutions near which the system is locally integrable. Ten of them are real. We study also the number of these complex stationary solutions in 3-dimensional invariant manifolds of the system. We find that the number is 4, 2, 1, or 0.

UDC: 517.925+531.38

 English version: Journal of Mathematical Sciences (New York), 2008, 152:4, 479–489

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