A target object’s weight specifies how much the orientation of the constrained object can be influenced by a target object. The weights are attributes of the orient constraint. For each target object, an attribute named targetObject Wn is included that specifies the weight of each target object. By default, the weights are set to 1, which gives each target object an equal influence over the constrained object’s orientation. However, you can change the weights so that some target objects can have more (or less) influence than others. You can change target object weights with the Channel Box or the Attribute Editor.
To change orient constraint target object weights with the Channel Box or Attribute Editor, edit the targetObject Wn channels as described in Edit orient constraints.
An interesting technique you can use with orient constraints is to animate the target object weights specified by the targetObject Wn channels. You can vary the weights from 0 to any value, so that as an animation progresses different target objects can take turns driving a constrained object’s orientation.