منابع مشابه
Escape from Gyrostat Trap States
In this paper we present some results on the dynamics of gyrostats containing two axisymmetric rotors where one of the rotors is viscously damped and the other is subject to a controllable torque. The purpose of this arrangement is to investigate the use of internal torques to enable a spacecraft to “escape” from a trap state. Suppose the spacecraft is intended to operate in a state where the p...
متن کاملRelative Equilibria of a Gyrostat in the Three Body Problem
We consider the non-canonical Hamiltonian dynamics of a gyrostat in the three body problem. By means of geometric-mechanics methods we will study the approximate dynamics that arises when we develop the potential in series of Legendre and truncate this in an arbitrary order. Working in the reduced problem, we will study the existence of relative equilibria that we will denominate of Euler and L...
متن کاملMomentum Transfer Dynamics of a Gyrostat With a Discrete Damper1
The stability of motion of attitude maneuvers of a torque-free rigid gyrostat with a discrete damper is investigated. The equations of motion are presented and non-dimensionalized, then rewritten as a singularly perturbed, noncanonical, Hamiltonian system. Conditions for equilibrium motions and for their stability are developed. Bifurcation diagrams are used to illustrate the stable and unstabl...
متن کاملSymbolic-Numerical Investigation of Gyrostat Satellite Dynamics
Dynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is studied. A symbolicnumerical method for determination of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. A computer algebra method based on the algorithm for the c...
متن کاملO ct 2 00 6 Equilibria for a gyrostat in newtonian interaction with two rigid bodies
In this paper the non-canonical Hamiltonian dynamics of a gyrostat in the three body problem will be examined. By means of geometric-mechanics methods some relative equilibria of the dynamics of a gyrostat in Newtonian interaction with two rigid bodies will be studied. Taking advantage of the results obtained in previous papers, working on the reduced problem, the bifurcations of these relative...
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ژورنال
عنوان ژورنال: Nature
سال: 1875
ISSN: 0028-0836,1476-4687
DOI: 10.1038/011424c0