Escape from Gyrostat Trap States
نویسنده
چکیده
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 primary rotor, denoted R1, has a specified angular momentum, and the other rotor, R2, subject only to internal viscous torques, is not spinning relative to the spacecraft reference frame. Normally this state will be asymptotically stable due to the
منابع مشابه
Simultaneous separation for the Kowalevski and Goryachev-Chaplygin gyrostats
In the special case of zero square integral the Kowalevski gyrostat and Goryachev-Chaplygin gyrostat share a simple separation of variables originated from the 4× 4 Lax matrix. EPSRC Advanced Research Fellow
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...
متن کاملMandible-Powered Escape Jumps in Trap-Jaw Ants Increase Survival Rates during Predator-Prey Encounters
Animals use a variety of escape mechanisms to increase the probability of surviving predatory attacks. Antipredator defenses can be elaborate, making their evolutionary origin unclear. Trap-jaw ants are known for their rapid and powerful predatory mandible strikes, and some species have been observed to direct those strikes at the substrate, thereby launching themselves into the air away from a...
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 کامل“Hidden” Momentum in a Linked Pair of Gyrostats?
A gyrostat is a massive sphere (or disk) mounted such that the supporting apparatus exerts no torque about the center of the sphere. The earliest gyrostat was described by Bohnenberger [1] in 1817, as shown below. The name gyroscope was applied to this apparatus by Foucault [2] in 1852, although this term has come to imply a sphere or disk mounted with a fixed point on its axis. Lord Kelvin use...
متن کامل