  This paper is devoted to a detailed investigation of the perturbed
pendulum-like motions of a heavy rigid body about a fixed point. Canonical
variables that allow one to simplify the analysis of homoclinic and
heteroclinic orbits are introduced. Characteristic properties of perturbed
pendulum-like motions of the body in inertial space are studied. A qualitative
description of asymptotics of pendulum-like motions in a neighbourhood of split
separatrices is given.
