AERSP 309 Study Guide - Midterm Guide: Angular Velocity, Apsis, Inertial Frame Of Reference

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Test #1 is wed. oct 2, 8:15pm, 101 thomas bldg. b. ) The dcm for the satellite"s orientation at some particular time is received as where i is the inertial frame and s is the frame attached to the spacecraft. Calculate the missing value c32: a camera on the satellite takes an image of a comet in the direction (cid:3398)0. 6409 (cid:3398)0. 4810. Cis = (cid:3429)(cid:3398)0. 7137 (cid:3398)0. 2724 (cid:3398)0. 6453 (cid:3398)0. 0929 (cid:3398)0. 8763 0. 4727(cid:3433) Calculate the angle between (cid:1856)(cid:4632) and (cid:2835) (cid:2870) when the satellite"s orientation is given by: a position vector in frame a is given by ra. Show the elements of the dcms, but you do not need to carry out the matrix multiplication. (cid:2033)(cid:4652)(cid:4652)(cid:3377)(cid:3003) (cid:3015) (cid:3404)(cid:1829)cos(cid:4666)(cid:2009)(cid:1872)(cid:4667)(cid:1854)(cid:3552)(cid:2869)(cid:3397)(cid:1830)sin(cid:4666)(cid:2009)(cid:1872)(cid:4667)(cid:1854)(cid:3552)(cid:2870: a spacecraft is rotating with time-varying angular velocity the mass is (cid:1870)(cid:3377)(cid:3404)(cid:1859)sin(cid:4666)(cid:1863)(cid:1872)(cid:4667)(cid:1854)(cid:3552)(cid:2871), where g and k are constants. Determine the acceleration of the mass where b is the spacecraft frame, and n is a newtonian (inertial) frame, and c, d and are constants.

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