19 citations · 23 across the 2 of their papers we have counts for
2 papers
astro-ph.IM2010★ 4 cited
Shadowing unstable orbits of the Sitnikov elliptic 3-body problem
D. J. Urminsky
Errors in numerical simulations of gravitating systems can be magnified exponentially over short periods of time. Numerical shadowing provides a way of demonstrating that the dynam…
astro-ph2008★ 19 cited
On the relationship between instability and Lyapunov times for the 3-body problem
D. J. Urminsky, D. C. Heggie
In this study we consider the relationship between the survival time and the Lyapunov time for 3-body systems. It is shown that the Sitnikov problem exhibits a two-part power law r…