3 papers
physics.comp-ph2003
Lyapunov exponents in constrained and unconstrained ordinary differential equations
Michael D. Hartl
We discuss several numerical methods for calculating Lyapunov exponents (a quantitative measure of chaos) in systems of ordinary differential equations. We pay particular attention…
gr-qc2003
A survey of spinning test particle orbits in Kerr spacetime
Michael D. Hartl
We investigate the dynamics of the Papapetrou equations in Kerr spacetime. These equations provide a model for the motion of a relativistic spinning test particle orbiting a rotati…
gr-qc2002
Dynamics of spinning test particles in Kerr spacetime
Michael D. Hartl
We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponent…