Modeling and Control for Spacecraft Hovering Considering J2 ∼J4 Perturbation

Abstract

In this paper, the required control with the J 2∼J 4 perturbation is derived for the spacecraft hovering. The J 2∼J 4 perturbation is introduced into spacecraft relative motion model by Gauss’s variation equations, and the orbit elements affected by the J 2∼J 4 perturbation are obtained. Combining the nonlinear relative motion model of the spacecraft with the obtained orbit elements, the analytic expression of the hovering control is completely derived. The numerical verification results indicate that the derived control considering the J 2∼J 4 perturbation can ensure the high accuracy for the spacecraft hovering.