an:06498423
Zbl 1397.70006
Belyaev, A. V.
On the general solution of the problem of the motion of a heavy rigid body in the Hess case
EN
Sb. Math. 206, No. 5, 621-649 (2015); translation from Mat. Sb. 206, No. 5, 5-34 (2015).
00348237
2015
j
70E15 70E20 70E40 70E50
first integral; Hess case of the Euler-Poisson equations; asymptotic behaviour of solutions; singular points of solutions; analytic functions
In this paper, the motion of a heavy rigid body in the Hess case is considered. The solutions of the Euler-Poisson equations as analytic functions of time with given asymptotic behaviour in neighbourhoods of given singular points are presented. A representation of solutions of the Hess problem by means of the Riccati equation is used, which enables us to obtain a precise estimate for the boundary of the limiting periodic solutions.
Clementina Mladenova (Sofia)