MARYLAND Orbital Maneuvering

Calculating Vehicle Inertia Tensor
⎡I′
⎤
x
⎢ ⎥
⎢Iy′
⎥
⎢
⎣I′
⎥
⎦
• Component with mass m and inertia tensor
[I] in vehicle axis system
• Located at position [x,y,z] w.r.t. vehicle CG
• Contribution to vehicle inertia is (“parallel
axis theorem”)
z vehicle
=
⎡I
⎢
⎢I
⎢
⎣I
⎤
⎥
⎥
⎥
⎦
U N I V E R S I T Y O F
MARYLAND
x
y
z component
+
⎡ 2 2
y + z −xy −xz
⎢
2 2
m⎢
− xy x + z −yz
⎢
⎣ −xz − yz x + y
2 2
⎤
⎥
⎥
⎥
⎦
Orbital Maneuvering
Principles of Space Systems Design