The possible observations of Trojan-like extrasolar planets stimulate the deeper understanding of
the stability behaviour of the co-orbital resonant motion. By using Hill's equations and the
energy-rate method an analysis of the stability map of the elliptic restricted three-body problem
is performed. Regions of the μ-e parameter plane are described numerically and related to the
resonant frequencies of librational motion. Stability and instability can therefore be obtained by
analysing the two independent frequency modes depending on system parameters. The key role of the
long period libration in determining the structure of the stability is demonstrated and also a
stability mechanism is found that is responsible for extended life time of the test particle in
the unstable domain of the stability map.
|
