Abstract
The conditions for the origination of strange attractors in the rotational dynamics of small planetary satellites when they reach a neighborhood of a synchronous resonance separatrix in the course of tidal evolution of the rotary motion are investigated by means of numerical experiments. It is assumed that a satellite has an arbitrary shape and moves along a fixed orbit in the gravitational field of a point-like mass; its rotational axis is orthogonal to the orbit plane. By calculating Lyapunov exponents, the regions of the values of problem parameters have been found where a strange attractor exists. The possibility of the appearance strange attractor in the rotational dynamics of real small planetary satellites is considered.
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