CAPTURE CONDITIONS IN THE RESTRICTED 3-BODY PROBLEM

The capture regions for planetary satellites are numerically explored in the frame of the restricted tree-body problem. Appropriate scaling relations for describing capture conditions in terms of mu are provide d in the bidimensional problem. Also the tridimensional problem is con sidered and capture regions completely characterized for Jupiter, Uran us and the Earth. A discussion is given of conditions leading to captu re when the planetary eccentricity is taken into account.