Abstract
Recent observations suggest that binary or multiple asteroids could exist ( T. C. Van Flandern, E. F. Tedesco, and R. P. Binzel, 1979, Satellites of Asteroids (T. Gehrels, Ed.), pp 443–465 ; A. Cellino et. al., 1985, Astron. Astrophys. 144, 355–362 ; S. J. Weidenschilling, P. Paolicchi, and V. Zappalà, submitted for publication). However, because of the smal size of such objects and also because of their distance from the Earth, direct observations are nearly impossible. Indeed, their mere existence is still challenged. We present here a study of the dynamics of these objects. Our aim is to assess whether or not they are dynamically stable. More specifically, we investigate the trajectories of Hill's problem to describe the effect of the solar perturbations on the relative motion of a binary asteroid.
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