On the stability of satellites at unstable libration points of sun-planet-moon systems
Johannes Reiff,
Jonas C. J. Zatsch,
Jörg Main
et al.
Abstract:The five libration points of a sun-planet system are stable or unstable fixed positions at which satellites or asteroids can remain fixed relative to the two orbiting bodies. A moon orbiting around the planet causes a time-dependent perturbation on the system. Here, we address the sense in which invariant structure remains. We employ a transition state theory developed previously for periodically driven systems with a rank-1 saddle in the context of chemical reactions. We find that a satellite can be parked on… Show more
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