An algorithm for energy-optimal trajectory planning of satellite formation reconfiguration based on
Pseudospectral method is proposed. Firstly, the reconfiguration problem is converted into a nonlinear programming problem
by using Legendre Pseudospectral method. Then the analytical expressions of the formation satellites are derived by using
Pontryagin’s minimum principle without considering the collision avoidance, and the points are found out, where collisions
happen for all the satellites. Moreover, some points are set according with Gaussian distribution around the collision points,
which guarantee that the satellites can not collide with each other at these test points. The simulation results show that the
proposed algorithm satisfies the constraints well and can be used for autonomous reconfiguration with its small computational
amount and high accuracy.