A concept of a distributed array of small, low-cost, cooperative, and highly coordinated microspacecraft is vigorously being pursued for several future space missions. Implementation of the distributed coordinated spacecraft concept will require tight control of the relative distances and phases between the participating spacecraft. We review nonlinear and linear spacecraft relative position modeling techniques. In addition, we develop a mathematically rigorous control design framework for linear control of spacecraft relative position dynamics with guaranteed closed-loop stability. Finally, illustrative numerical simulations are provided to demonstrate the efficacy of the proposed approach.