Question

In: Mechanical Engineering

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

A sensor is used to calculate the kinematic attitude of a satellite 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 has coordinates (-1, 0, 0), the three coordinates represent the i,j,k directions in the reference frame.

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

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

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