“…Using Hamilton’s principle [ 44 ], the equilibrium equations of a flexible spacecraft can be obtained by evaluating the functionals associated to: the kinetic energy, the elastic potential of the system, the gravitational field, and the control actions (if any). Only the final equations of motion, Equations ( 2 )–( 4 ), are reported in this work for brevity’s sake while the methods leading to their derivation are covered in [ 44 , 45 , 46 ]. Hence, the governing translational, rotational, and modal base flexible equations of a flexible body under gravitational force, respectively, can be written as: where the symbol × indicates the cross product operation between two vectors; is the angular velocity of the spacecraft defined with respect to ; m , , and , respectively, are the total mass of the spacecraft, the static moment, and its inertia tensor.…”