MAE146: Astronautics – Homework
Assigned: Friday, January 8
th
,
2010
Due date: Wednesday , January 13
th
,
2010,
(at the beginning of the lecture)
Please justify all of your answers. Write your answer cleanly with sentences and diagrams to explain. Don’t forget
to write your name on your copy to receive credit.
Problem 1 (10pts): Still On Rotations.
Problme 4.9 on current edition (or Problem 4.7 of previous edition) of textbook.
Since the numeric answers are
given, any copy without justification of the results will not receive credit.
(Relevant reading: chapter 4, sections 4.1, 4.2 and 4.5)
Problem 2 (15pts): On Radar Tracking
Problem 1.13 on current edition (1.5 of previous edition) of textbook.
(Relevant reading: chapter 1, sections 1.2, 1.3, 1.5 and 1.6
material will be covered in Monday lecture as well).
Problem 3 (25pts): Spacecraft On A Circular Orbit
A spacecraft is moving on a circular orbit described by equations in an Earth Centered Inertial (ECI) frame
1
:
x
(
t
) = (
R
e
+
h
) cos(
ω
0
t
)
;
y
(
t
) = 0
km
;
z
(
t
) = (
R
e
+
h
)
sin
(
ω
0
.t
)
(1)
where
R
e
= 6379
km
is the mean radius of the Earth,
h
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 Winter '10
 Villac
 Derivative, Acceleration, Velocity, ECI

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