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Mathews, Michael

Publications and source records attributed to Mathews, Michael.

High Earth Orbit Design for Lunar-Assisted Medium Class Explorer Missions

This study investigates the application of high-Earth orbit (HEO) trajectories to missions requiring long on-target integration times, avoidance of the Earth's radiation belt, and minimal effects of Earth and Lunar shadow periods which could cause thermal/mechanical stresses on the science instruments. As used here, a HEO trajectory is a particular solution to the restricted three-body problem in the Earth-Moon system with the orbit period being either 1/2 of, or 1/4 of, the lunar sidereal period. A primary mission design goal is to find HEO trajectories where, for a five-year mission duration, the minimum perigee radius is greater than seven Earth radii (R(sub E)). This minimum perigee radius is chosen so that, for the duration of the mission, the perigee is always above the relatively heavily populated geosynchronous radius of 6.6 R(sub E). A secondary goal is to maintain as high an ecliptic inclination as possible for the duration of the mission to keep the apsis points well out of the Ecliptic plane. Mission design analysis was completed for launch dates in the month of June 2003, using both direct transfer and phasing loop transfer techniques, to a lunar swingby for final insertion into a HEO. Also provided are analysis results of eclipse patterns for the trajectories studied, as well as the effects of launch vehicle errors and launch delays.

McGiffin, Daniel A.↗

Efficient spacecraft formationkeeping with consideration of ballistic coefficient control

The extent to which drag can be used to enhance retrieval and servicing of platforms in the Space Staion environment is investigated for the case when separations on the order of several hundred or even thousands of kilometers occur over extended, but predefined, periods of time. The nature of the problem is formulated, the analytical tools used are described, and the mathematical foundation of the analysis is presented. Results are reported for the cases of formation flying cycles without ballistic coefficient control, formation flying with controlled relative decay, and the effects of varying solar activity.

Mathews, Michael↗