112 citations · 269 across the 4 of their papers we have counts for
4 papers
The dynamics of precessing binary black holes using the post-Newtonian approximation
Michael D. Hartl, Alessandra Buonanno
We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes s…
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…
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…
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…