摘要：The probability of the rendezvous between a single spacecraft and three non-coplanar constellation satellites is studied,and the necessary and sufficient conditions of the rendezvous without orbital maneuver are *** rendezvous orbit design can be transformed into the patching of two spacecraft orbits,either of which can achieve the rendezvous with two ***,due to the precious quality of spherical geometry,the unique existence of the rendezvous orbit for two constellation satellites is ***,according to the difference between equispaced and non-equispaced orbital planes of three satellites,the necessary and sufficient conditions are given respectively,and the calculating method of the spacecraft orbit is *** last,the constraint conditions between two different rendezvous orbits is derived,while the relative position of two groups of objects are under specific *** results can be applied to the rendezvous between a single spacecraft and multiple constellation satellites without orbital maneuver.