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Precise relative position determination of satellite formation elements in near circular orbits is the focus of this thesis. A Bayes filter is used for the estimator with the dynamics solution obtained by solving the time periodic, linearized system via Floquet Theory. This approach is similar to that of the traditional Clohessy- Wiltshire treatment, however much more of the system's behavior is retained by using a time periodic linear system. The dynamics model includes all zonal harmonics of the earth as well as sectoral, tesseral, and air drag perturbations. The filter algorithm was given three types of simulated measurements: relative Carrier-Phase Differential GPS data, Standard Positioning System GPS data and range measurements between each satellite. Simulations were conducted to investigate the accuracy obtainable with these measurements. Results obtained are on the order of the noise of the measurements (as low as 2 centimeters in each coordinate axis). This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.