The density of the binary system 617 Patroclus suggests that many are composed of ice and a layer of dust, and thus give a probable origin in the Kuiper Belt.
The instability of the predecessors of these objects may have been eroded by fast gas accretion in their nearest neighbor, causing the kinematic equation that describes their position to evolve from horseshoe-like to tadpole-like dynamics. The chaotic divergence of members of the largest group may be modeled via application of Lyapunov exponents to the three-body problem, of which they form a special case. The density of the binary system 617 Patroclus suggests that many are composed of ice and a layer of dust, and thus give a probable origin in the Kuiper Belt. Examples exist for Mars and Neptune, though the majority are found at 60 degrees ahead of and behind another planet. FTP, name these astronomical bodies that occupy the Lagrangian points of Jupiter, whose largest examples include Anchises, Priam and Hector.
The instability of the predecessors of these objects may have been eroded by fast gas accretion in their nearest neighbor, causing the kinematic equation that describes their position to evolve from horseshoe-like to tadpole-like dynamics.
Trojan Asteroids