The Trojan asteroid belt: Proper elements, stability, chaos and families

@article{Milani1993TheTA,
  title={The Trojan asteroid belt: Proper elements, stability, chaos and families},
  author={Andrea Milani},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={1993},
  volume={57},
  pages={59-94}
}
  • A. Milani
  • Published 1 October 1993
  • Geology, Physics
  • Celestial Mechanics and Dynamical Astronomy
I have computed proper elements for 174 asteroids in the 1 : 1 resonance with Jupiter, that is for all the reliable orbits available (numbered and multi-opposition). The procedure requires numerical integration, under the perturbations by the four major planets, for 1,000,000 years; the output is digitally filtered and compressed into a “synthetic theory” (as defined within theLONGSTOP project). The proper modes of oscillation of the variables related to eccentricity, perihelion, inclination… 
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