I need help with setting up this problem.

Once you fix the primary or target spacecraft [the selection of primary spacecraft is only a matter of contextL the relative motion of the secondary spacecraft is governed by the following initial value problem: 3:\" - Zwy' 3w2x = fx; x00): x0, x'm) = x3 .V" + wa' = 1}: M0} = J'o. 1"(0) = PE. 2" + wlz = f: ; 2(0) = 20, z'{) = 23 Where an stands for the mean angular velocity of the primary spacecraft within its orbit plane. fx Also, f y represents the differential acceleration on f: the secondary spacecraft. Assuming there is no external force acting on the secondary spacecraft, use Laplace Transform to x (1') determine its position y (r) in the space. Your answer 2 (I) will be in terms of w and the set of intial conditions. Hint: The 7. part of the given WP is a second order IVP by itself. Therefore it can be solved for z using Laplace Transform. For each of the first two differential equations [from the top), begin by taking Laplace Transform on both sides. This would eventually result in an algebraic system of equations in X (s) and Y (s)