Unformatted text preview: NS that represents a sequence of two rotations: a. a copy of the n set is rotated about by an angle α to produce set 2 ˆ n c . b. then a copy of the c set is rotated about by an angle ε to produce set 3 ˆ c s . 3. Using the data in problem 1, find the angle between the satellite’s 2axis and the 2 ˆ b Newtonian 3axis at the time that these data were transmitted. 3 ˆ n 4. Show that for a sequence of infinitesimal rotations d θ about the 1axis and d φ about the 3axis, the final DCM is independent of the rotational order. Hint: use smallangle approximations for sin and cos. Remember that the product of two infinitesimal quantities → 0....
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 Fall '05
 MELTON
 Rotation, DCM CNB, R.G. Melton Fall

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