Gradiometric navigation near collinear libration points

Physics

Scientific paper

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Gravity Gradiometers, Libration, Satellite Navigation Systems, Algorithms, Instrument Orientation, Linear Systems, Natural Satellites, Tides

Scientific paper

Gradiometric measurements (i.e., measurements of tidal accelerations) on a spacecraft make possible a unique determination of its position. The present paper examines a navigation system with a gradiometer that measures the mixed second derivatives of the gravitational potential over the coordinates. A linear algorithm for the processing of the measurements is developed for the neighborhood of the L1 and L2 libration points. The optimal orientation of the measuring instrument with respect to the orbital axes is found, and a priori estimates of the accuracy with which the position can be determined are given. Gradiometric navigation is found to be most effective in rapidly rotating systems such as Mars-Phobos and Jupiter-Amalthea.

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