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ASE 366K Preliminary
Exam
#L
Exam Date:
October 8, 2009
Instructor:
Dr. Humphreys
Name:
This test is open book and open notes. No devices capable of electronic communication are allowed
during the test (e.g., cell phones, computers). A pocket calculator
is permitted.
There are 3 problems
on this exam. A total of 100 points is possible. The duration of the test is
90 minutes. Budget your time accordingly.
Review the entire test package.
If you have an incomplete package, see the instructor for a re
placement.
Please use the space provided
in the test package
to derive solutions. Box all answers
for
clarity. Partial credit can only be awarded
if the method of the solution is understandable.
May your thoughts be clear.
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View Full Document Problem 1
A probe
in a
"parking orbit" around Mars has a pericenter
of 4000 km and a velocity at pericenter
(relative to Mars) of 4.165 km/sec' The probe is commanded
to transfer into another orbit by making
a burn 10 minutes after passing pericenter.
1' (10 points) What is the mean anomaly at the time of the burn? Express your answer
in radians
to three significant digits.
2' (15 poi,nts)
What is the eccentric anomaly at the time of the burn? Express your answer in
radians to three significant digits. Note: If you need to solve Kepler's
"qrrutiorr,
solve it via the
NewtonRaphson method. Set the problem
up and solve for the first iteration only, assuming an
initial guess of Eo
:
M.
3' (5 poi,nts)
What is the true anomaly at the time of the burn, assuming the eccentric anomaly
calculated above? Express your answer
in radians to three significant digits.
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:,
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This note was uploaded on 09/18/2011 for the course ASE 366K taught by Professor Lightsey during the Fall '08 term at University of Texas at Austin.
 Fall '08
 LIGHTSEY

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