Sample Test Questions for Test #1
a.) Test #1 is Wed. Oct 2, 8:15pm, 101 Thomas Bldg.
b.) You may bring one (1) 8.5 x 11 inch sheet (2-sided) of equations, notes, etc.
c.) You will need a working calculator -- check the batteries! (no calculators provided)
d.) These questions are intended to be representative of the types of questions you will see on the test;
however, they are not the whole story! You should carefully review your notes, practice problems, and
e.) Test #1 covers material from the first day of class through the lecture material on Sept. 23.
a) Due to radio interference from solar storms, telemetry (data sent back to Earth) from a satellite
are missing some information. The DCM for the satellite’s orientation at some particular time is
0.5983 ▯0.6409 ▯0.4810
C = ▯ 0.7397 0.6725 0.0242 ▯
where I is the inertial frame and S is the frame attached to the spacecraft.
Calculate the missing value C32.
b) A camera on the satellite takes an image of a comet in the direction
▯ ▯0.▯ ̂ ▯0▯ ̂ ▯0.8▯ ̂
▯ ▯ ▯
when the satellite’s orientation is given by
IS ▯0.7137 ▯0.2724 ▯0.6453
C = ▯ 0.6943 ▯0.3973 ▯0.6001 ▯
▯0.0929 ▯0.8763 0.4727
Calculate the angle between ▯ and ▯▯
c) A position vector in frame A is given by r . If a satellite (frame B) has an orientation (with
respect to frame A) described by a sequence of rotations about the 2-axis, then θ about the 1-
axis, then finally about the 3-axis, write an expression for the position vector r . Show the
elements of the DCMs, but you