Abstract: A method and apparatus provide for a basket of passively-safe thruster-burn positions within a context of rendezvous between a space-vehicle and a resident-space-object while in orbit around the Earth, for example. The basket of positions is defined by an intersection of a plurality of half-spaces determined based on a keep-out-zone associated with the resident-space-object, and a nominal position of the space-vehicle. The plurality of half-spaces defines a corresponding plurality of half-space boundary conditions within which the basket of positions is disposed. When a position of the space-vehicle is within the basket of positions at a time of a scheduled thruster-burn, then the scheduled thruster-burn is ensured to result in passive-safety.