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Note from Eqs. 3) that the DCM can be derived in a straightforward manner by projecting the basis vectors from one frame onto the other. To more easily visualize the relationships, the process may be broken down into a set of simple rotations about successive basis vectors, with each rotation resulting in a DCM. This will be illustrated in Sec. 1 for the Euler rotations (^00) that determine the attitude of an aircraft with respect to a local-level reference frame. , measured) by one fixed in a rotating coordinate system.

This type of "blind" flying would give confidence to other aviation pioneers, such as Amelia Earhart and Charles Lindbergh, and to a new generation of flight engineers who would soon accurately simulate actual flight while still on the ground. Lawrence Sperry, the founder of the company that made these instruments, invented dozens of instruments to assist flying between 1914 and 1932. One of these is still used in its original form in the modern cockpit—the turn indicator. An accomplished pilot himself, Sperry had first demonstrated it in 1915 by flying through large clouds while banking and turning, then emerging from the mists flying straight and level.

This type of "blind" flying would give confidence to other aviation pioneers, such as Amelia Earhart and Charles Lindbergh, and to a new generation of flight engineers who would soon accurately simulate actual flight while still on the ground. Lawrence Sperry, the founder of the company that made these instruments, invented dozens of instruments to assist flying between 1914 and 1932. One of these is still used in its original form in the modern cockpit—the turn indicator. An accomplished pilot himself, Sperry had first demonstrated it in 1915 by flying through large clouds while banking and turning, then emerging from the mists flying straight and level.

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