Spacecraft Formation Orbit-Injection Trajectory Optimization for the Space Gravitational Wave Detection Mission

This paper proposes a spacecraft formation trajectory optimization approach to solve the orbit-injection problem in the space gravitational wave detection mission. First, the dynamics of spacecraft formation is established in the heliocentric inertial coordinate system. Then, the fight constraints and fuel consumption are considered to establish the spacecraft formation orbit-injection optimization problem, and the optimization problem is discretized as a nonlinear programming problem based on the Radau pseudospectral method. At last, a sequential quadratic programming algorithm and hp-adaptive strategy are introduced to solve the discrete nonlinear programming problem. The simulation shows that the proposed approach can solve the spacecraft formation orbit-injection trajectory optimization problem effectively and accurately.