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3rd Austrian Hungarian Workshop
Richard Schwarz
Markus Gyergyovits
Stability of highly inclined Trojans
The orbits of 23 asteroids around the Lagrangian point L4 and 18 asteroids around the Lagrangian point L5 with high inclinations were integrated fpr 50 Myrs, along with a group of neighbouring initial conditions for each nominal orbit (altogether there were 140 L4 asteroids and 102 for L5). For investigating the stability of this trojans, we used various methods : a running window averaging, the characteristic Liapunovexponent, an accumulation function and a spectrum of the Delauny elements.
Our results indicated, that there is for each Lagrangian point at least one asteroid, that escapes. Additionally, we found with that the width of the accumulation function and the width of Delauny element spectrum could also be used as an indicator for stability.
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