Now showing items 1-6 of 6
A Multibody Analog of Dual-Spin Problems
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 ...
Mechanical Systems with Partial Damping: Two Examples
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 ...
Almost Poisson Integration of Rigid Body Systems
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 ...
Steady Rigid-Body Motions in a Central Gravitational Field
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 ...
Gyroscopic Control and Stabilization
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 ...
Hamiltonian Dynamics of a Rigid Body in a Central Gravitational Field
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 ...