Symplectic Approaches for Solving Two-Point Boundary-Value Problems

Abstract

T HE two-point boundary-value problem (TPBVP) plays a fundamental role in optimal control problems of aerospace engineering, including the problem of spacecraft orbit transfer [1], the optimal reconfiguration of spacecraft formations [2], and continuous thrust rendezvous problems [3]. Therefore, many techniques and methods for solving TPBVP have been proposed and developed [4–7]. The optimal control problem is as follows. The dynamic system is