Distribution of Asteroids in the Solar System: The Trojans

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Although there is no difference between the stability properties between the Lagrangian points L_4 and L_5 both in the circular and elliptical restricted three-body problem, the number of the observed Trojan asteroids around the two Lagrangian points of Jupiter is not the same. We summarize our first numerical results concerning the difference of the phase space structure around the two Lagrangian points, taking into account the effect of Saturn as a perturber. These results show us that the size of the stable region around the leading point is even larger also for highly inclined and eccentric orbits.

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