ASE 330M
–
Homework #1 (Review of Vectors & Dynamics)
Due: Friday, September 14
th
.
Reading Assignment: Read Chapters 13 of Torby
(available as PDF from blackboard)
Problem #1:
During the encounter with the asteroid Gaspra, the Galileo spacecraft’s posi
tion and inertial velocity
vectors, with respect to the origin of the solar system, were given by:
where
O
stands for the origin and
S
for the spacecraft. These vectors are measured in a Sun centered
inertial frame defined by unit vectors (ijk)
The position and inertial velocity vector of the center of Gaspra at that time were,
(a)
Calculate the position of the spacecraft with respect to Gaspra,
.
(b)
What is the magnitude of
(c)
Calculate the inertial velocity of the spacecraft with respect to Gaspra,
(d)
What is the magnitude of
(e)
Define unit vectors along
,
, and
. Assign names to each of
these unit vectors. Do these unit vectors form an orthogonal set? How do you know? Derive a
relation between the inertial vectors (ijk) and your rotating set of unit vectors.
(f)
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 Spring '10
 JEANNEFALCON
 Acceleration, Special Relativity, Velocity, Frame of reference, Inertial frame of reference

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