76 citations · 351 across the 16 of their papers we have counts for
5 papers · 1 filter
Surfing on the Edge: Chaos vs. Near-Integrability in the System of Jovian Planets
Wayne B. Hayes
We demonstrate that the system of Jovian planets (Sun+Jupiter+Saturn+Uranus+Neptune), integrated for 200 million years as an isolated 5-body system using many sets of initial condi…
Is the outer Solar System chaotic?
Wayne B. Hayes
The existence of chaos in the system of Jovian planets has been in question for the past 15 years. Various investigators have found Lyapunov times ranging from about 5 millions yea…
Shadowing-based reliability decay in softened n-body simulations
Wayne Hayes
A shadow of a numerical solution to a chaotic system is an_exact_ solution to the equations of motion that remains close to the numerical solution for a long time. In a collisionle…
Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem
Wayne B. Hayes
A {\it shadow} is an exact solution to a chaotic system of equations that remains close to a numerically computed solution for a long time, ending in a {\it glitch}. We study the d…
Fitting random stable solar systems to Titius-Bode laws
Wayne Hayes, Scott Tremaine
Simple ``solar systems'' are generated with planetary orbital radii r distributed uniformly random in log(r) between 0.2 and 50 AU. A conservative stability criterion is imposed by…