-AE 302: PROBLEM SET 1
SPRING 2011
Issued: 28 Jan 2011
Due: 7 Feb 2011
-Question 1: (6.11 from Anderson, 6th edition)
Consider an aircraft with a zero-lift drag coefficient of 0.025, an aspect ratio of
L
D
6.72 and an Oswald efficiency factor of 0.9. Calc

AE 302: Aerospace Flight Mechanics II, Spring 2011
Homework 5
Due 12:50pm, Wednesday, April 6
Problem 1. a) Determine the total v required for a hohmann transfer from Earth
to Mars. Assume Earth and Mars are massless planets in coplanar circular
orbits ab

AE 302: Aerospace Flight Mechanics II, Spring 2011
Homework 6
Due 12:50 pm, Friday, April 29
Problem 1. a. Write a Matlab code to compute the longitudinal modes of a Piper
Cherokee, using the following data:
mass:
S:
c:
B:
V0 :
:
CD :
CL :
CD :
CL :
Cm :

AE 302: Aerospace Flight Mechanics II, Spring 2011
Homework 3
Due 12.50 pm, Friday, March 18
Problem 1. (a) Show that r2 = h = constant is equivalent to the circumferential
component of absolute acceleration being zero:
r + 2r = 0.
Solution:
d 2
r = 0
dt

AE 302: Aerospace Flight Mechanics II, Spring 2011
Homework 4
Due 12:50 pm, Wednesday, March 30
Problem 1. For an arbitrary elliptic orbit, determine a formula for the time required
to travel from periapse to the rst crossing of the minor axis. The approp

University of Illinois at Urbana-Champaign
Department of Aerospace Engineering
AE 302
Homework No. 5
Prof. Prussing
1.
Due 06 apr 2011
a) Determine the total v required for a Hohmann transfer from Earth to Mars.
Assume Earth and Mars are massless planets

University of Illinois at Urbana-Champaign
Department of Aerospace Engineering
AE 302
Homework No. 4
Prof. Prussing
1.
Due Wednesday 30 mar 2011
For an arbitrary elliptic orbit, determine a formula for the time required to travel
from periapse to the rst

University of Illinois at Urbana-Champaign
Department of Aerospace Engineering
AE 302
Homework No. 3
Prof. Prussing
1.
Due 18 mar 2011
a) Show that r 2 = h = constant is equivalent to the circumferential component of
absolute acceleration being zero:
r
r

Introduction to Conformal Mapping in Aerodynamics
Introduction
Conformal mapping is a method used to extend the application of potential flow theory to
practical aerodynamics. Standard potential flow theory begins with an ideal flow to show
that lift on a

-AE 302: PROBLEM SET 1
SOLUTIONS
-QUESTION 1
Given data:
0.025
6.72
0.9
is max when thrust required (TR) is minimum.
For minimum TR,
,
,
0
,
But for level, unaccelerated flight, W=L and
2
2
1
0,
2
or 0,=0.6892
Also, , 0.05

AE 302: Aerospace Flight Mechanics II, Spring 2011
Midterm 1
12.00 - 1:00 pm, Monday, February 28
Please show all your work
Problem 1. (20 pts) If the circle | = r is transformed into an ellipse by the
2
transformation z = + l , show that the semi-major a

AE 302: Aerospace Flight Mechanics II, Spring 2011
Midterm 2
12.00 - 1:00 pm, Friday, April 8
Please show all your work
Problem 1. (50 pts) An asteroid is in an elliptic orbit about the sun in the same
plane as the Earths orbit. The value of its semimajor

AE 302: Aerospace Flight Mechanics II, Spring 2011
Homework 2
Due in-class, Monday, February 21
Problem 1. (Problems 7.2 from Anderson)
Consider a model of a wing-body shape mounted in a wind tunnel. The ow
conditions in the test section are standard sea-

AE302 Aerospace Flight Mechanics II
Solutions to Problem Set 6
The phugoid and short period modes were determined by solving
1
1
+ CD
2 (CD CL )
2 CL
=0
+ 1 CD
det CL
2
2k2 2
0
Cm + Cm
Cm
cve
where k 2 =
B
M and
=
M
sve
From MATLAB, 1 = 0.0227 j0.338