AAE 590 Spacecraft Attitude Dynamics
Problem Set 1
Due: 1/23/15
Problem 1: The block below is a right triangular wedge. Vector bases n and c are
dextral, orthonormal triads and fixed in the block.
(a) Determine the direction cosine matrix that relates n a

AAE 590 Spacecraft Attitude Dynamics
Problem Set 11*
Due: 5/8/15
The gravity moment on a non-centrobaric spacecraft can significantly affect its motion and
orientation. For an axisymmetric rigid body, spin can be employed to offset undesirable
effects. To

AAE 590 Spacecraft Attitude Dynamics
Problem Set 8*
Due: 4/3/15
Problem 1: An axisymmetric rigid body B (spacecraft) can move in an inertial reference
frame N. Let ni and bi be unit vectors fixed in N and B, respectively. Assume a
spacecraft with an inert

AAE 590 Spacecraft Attitude Dynamics
Problem Set 9*
Due: 4/10/15
Problem 1: In PS8, you examined perturbations in the nutation angle and the influence
of the spin rate q on the determination of instability in the nutation angle. Now consider
the precessio

AAE 590 Spacecraft Attitude Dynamics
Problem Set 7*
Due: 3/13/15
Problem 1: Assume that a system S consists of 8 particles, each located at the corner of a
cube. All of the particles have the same mass m, and the length of each edge of the cube
is L. An a

AAE 440 Spacecraft Attitude Dynamics
Problem Set 6
Due: 3/6/15
Problem 1: The system below consists of a particle P (mass 3m) and a wedge-shaped
satellite B comprised of two particles each of mass m (blue and magenta). B also include
m
a small square hub

AAE 590 Spacecraft Attitude Dynamics
Problem Set 5*
Due: 2/27/15
Problem 1: Recall the class discussion concerning Notes H. In this problem, we will take
the first step to begin the analysis in Notes H.
In Prob 4 in PS4, an axisymmetric rigid body B (spac

AAE 590 Attitude Dynamics
Spring 2015
PS4 - SOLUTION
AAE 590
Problem Set 4
Due: 2/20/15
Problem 4
An axisymmetric rigid body B (spacecraft) can move in an inertial reference frame N,
where and are unit vectors fixed in N and B, respectively. The body has

AAE 590 Attitude Dynamics
Spring 2015
PS3 - SOLUTION
Homework 3
AAE 590 Spring 15
Solution
Problem 2:
We are given the following:
=0.2 a + 0.1 a 0.4 a
^1
^2
^3
A B
First, find
A B
4
A B
4
>0
using the following equation:
2+ 2+2=1
1
2
3
2
2
2
2
(0.2) +(0

AAE 590 Spacecraft Attitude Dynamics
Problem Set 4
Due: 2/20/15
Problem 1: Assume that a dextral set of orthogonal unit vectors ni is fixed in a reference
frame N; a similar set b is fixed in body B that can move with respect to N. At any
i
instant, the a

AAE 590 Spacecraft Attitude Dynamics
Problem Set 3
Due: 2/6/15
Problem 1: Assume that a rigid body B can move with respect to a frame N.
N
Let unit vectors bi and ni be fixed in B and N, respectively. Initially (at t0 ), bi ni .
B then undergoes two rot

AAE 590
Problem Set 2
Due: 1/30/15
Problem 1
A rigid body has the following inertia dyadic:
= 400! ! + 200! ! 50! ! 50! ! + 100! ! !
Another set of unit vectors ! exist such that ! ! ! = ! ! ! ! !
1
1
0
2

AAE 590 Spacecraft Attitude Dynamics
Problem Set 2
Due: 1/30/15
Problem 1: Assume that there exists a rigid body for which the inertia dyadic is written
as follows:
I 400c1c1 200c2c2 50c2c3 50c3c2 100c3c3 kg-met2
Let another set of unit vectors n j ex

AAE 590 Spacecraft Attitude Dynamics
Problem Set 10*
Due: 4/17/15
Problem 1: In PS 9, we began considering unsymmetric rigid bodies and their behavior in a
torque-free environment. Recall that the rigid body B possessed a mass distribution such that
B
I
B