The topic of this paper is the synthesis of finite-time adaptive control of a nonstationary nonlinear space vehicle without utilizing information about variations of its parameters and nonlinearities. The algorithms of the adaptive control are established for an arbitrarily chosen aggregation function such that their implementation assures the required trajectory bounds of the vehicle and its error-state system and guarantees the same settling time of the vehicle as that of the reference model that can be optimal in an appropriate sense. Illustrative examples are worked out.