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In the field of spacecraft altitude control and stabilization, the dual-spin maneuver has an important place. Here, we consider a problem which is a multibody analog of the dual-spin problem. The dynamical equations are ...

We discuss the problem of constructing steady state motions of mechanical systems with partial damping. A planar three bar linkage with viscous damping at one of the joints is considered as an example. We show that for a ...

In this paper we discuss the numerical integration of Lie-Poisson Systems using the mid-point rule. Since such systems result from the reduction of hamiltonian systems with symmetry by Lie Group actions, we also present ...

In recent work, the exact dynamic equations for the motion of a finite rigid body in a central gravitational field were shown to be of Hamiltonian form with a noncanonical structure. In this paper, the notion of relative ...

In this paper, we consider the geometry of gyroscopic systems with symmetry, starting from an intrinsic Lagrangian viewpoint. We note that natural mechanical systems with exogenous forces can be transformed into gyroscopic ...

This paper concerns the dynamics of a rigid body moving under the influence of a central gravitational field. Explicit account is taken of effects arising because of the finite extent of the body. The hamiltonian framework ...

For simple mechanical systems with symmetry, a variational principle on configuration space determines relative equilibria. Here, this principle of symmetric criticality is applied to a problem of coupled rigid bodies. ...