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AAE 532 – Orbit Mechanics
Problem Set 5
Due: 10/4/10
Problem 1:
Spacecraft SP2 is in Earth orbit.
Someone is concerned it might not survive the
next 25 minutes without crashing.
Given its current state
a)
Determine
o
.
Is the spacecraft ascending or descending?
Find
E
, a, Period, h, p, e,
*
o
,
E
o
, (t
o
t
p
).
b)
Determine
1
and
E
1
at time
t
1
that is 25 minutes in the future.
Determine values for the
f
and
g
functions (also
f
and
g
) relating the states at
t
1
to the original states. Use these
functions to evaluate the vectors
and
at that time.
c)
Did you use the
*
or
E
versions of the
f
and
g
functions?
Try the other version and
demonstrate that the same states result.
d)
Does SP2 crash prior to time
t
1
?
If not, how close does it pass the surface?
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View Full DocumentProblem 2:
An orbit transfer vehicle (OTV) is currently in Earth orbit with the following
characteristics (relative to Earth J2000 equatorial coordinate system):
r
p
= 1.8
= 30
o
r
a
= 8.7
= 120
o
i =
28
o
tt
p
=
10 hrs
a)
Determine the state in terms of
,
,
r, v,
, E,
*
, M
; write
in terms of both rotating
orbit unit vectors
as well as inertial unit vectors
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 Spring '10
 KathleenHowell

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