Modeling the Coupled Translational and Rotational Relative Dynamics for Formation Flying Control

This paper is concerned with the modelling of the relative translational and rotational dynamics between two satellites flying in formation. In particular, the derivation of the governing equations of motion is detailed, and a metrology model of a lateral error sensor is given. The main interest lies in the highprecision measurement phase, i.e. the dynamics are linearized w.r.t. the nominal configuration of the formation. Furthermore, the linear fractional transformation (LFT) is used in order to model varying parameters and parameters flawed with tolerances, e.g. mounting points and orientations of optical instruments.