X-Nico

3 unusual facts about Lyapunov exponent


522 Helga

It is notable for being the first such object to be shown to be in a stable but chaotic orbit in resonance with Jupiter, its Lyapunov time being relatively short, at 6,900 yr.

Lissajous orbit

Lyapunov orbits around a libration point are curved paths that lie entirely in the plane of the two primary bodies.

Predictability

Their predictability usually deteriorates with time and to quantify predictability, the rate of divergence of system trajectories in phase space can be measured (Kolmogorov-Sinai entropy, Lyapunov exponents).



see also