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A sensor is used to calculate the kinematic attitude of a satellite with respect to a...

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Mechanical Engineering

A sensor is used to calculate the kinematic attitude of asatellite with respect to a reference frame.

Two stars are observed by the sensor, S1 and S2.

In the reference frame, S1 has coordinates (0, 1, 0) and S2 hascoordinates (-1, 0, 0), the three coordinates represent the i,j,kdirections in the reference frame.

In the body frame, S1 has coordinates (1 ,0, 0) and S2 hascoordinates (0, 1, 0), the three coordinates represent the iB,jB,kBdirections in the body frame.

Find the directional cosine matrix which translates thecoordinates from the reference frame to the body frame.

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