RESONANCES AND THE STABILITY OF STATIONARY POINTS

摘要

The question of Lyapunov stability of stationary points around a central body has been studied in absence of resonances and in the case of resonances of order 3 and 4, by means of the computation of the normal form up to second order. However, some special degenerate cases are not covered, as it happens for resonances of order 5 and 6, when the free parameters of the problem are chosen properly. In this paper we deal with these resonances and apply appropriate results to establish the stability properties of the stationary points.