Engineering Your Future
9th Edition
ISBN: 9780190279264
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press, USA
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Chapter 17, Problem 17.22EAA
To determine
The magnitude of total acceleration when speed of car is 30 m/s.
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(b): Let us first consider controlling the orbit of deputy spacecraft to rendezvous with chief spacecraft.
Define x = [r] and x = x = R to represent the deputy orbital state and its target (= chief
orbit) in Cartesian coordinates, respectively. The control input is thruster acceleration, u € R³, in the
ECI frame. Denote the relative state by dx = x-x. Table 2 summarize the initial orbital elements.
Table 2: Keplerian orbital elements at epoch (t = 0) for deputy and chief about Earth (ECI frame)
Orbital element
Deputy
Unit
Chief
semi-major axis
ad =
11500
ac 10000 km
eccentricity
inclination
ed = 0.15
id=35
ee = 0.3
i = 50
degree
right ascension of ascending node d = 50
Ως = 50
degree
argument of periapsis
true anomaly at epoch
Wd
Vd= 0
=
40
We =
40
degree
Ve=0
degree
(b.1): Derive the error dynamics of our system in ECI frame under the influence of u.
(b.2): Consider a candidate Lyapunov function V = ½dr¹ K₁dr+dv₁dv, where K₁ = K, and K, > 0.
Discuss the positive definiteness of V, and…
One image show problem c.1 and c.2 that I need help with. The second image shows the lyapunov function and its derivative but it is NOT the same function that is given in problem. I have attached that image as an example.
This is a tilt and rotation question. Here are notes attached for reference.
Chapter 17 Solutions
Engineering Your Future
Ch. 17 - Prob. 17.1EAACh. 17 - Prob. 17.2EAACh. 17 - Prob. 17.3EAACh. 17 - Prob. 17.4EAACh. 17 - Prob. 17.5EAACh. 17 - Prob. 17.6EAACh. 17 - Prob. 17.7EAACh. 17 - Prob. 17.8EAACh. 17 - Prob. 17.9EAACh. 17 - Prob. 17.10EAA
Ch. 17 - Prob. 17.11EAACh. 17 - Prob. 17.12EAACh. 17 - Prob. 17.13EAACh. 17 - Prob. 17.14EAACh. 17 - Prob. 17.15EAACh. 17 - Prob. 17.16EAACh. 17 - Prob. 17.17EAACh. 17 - Prob. 17.18EAACh. 17 - Prob. 17.19EAACh. 17 - Prob. 17.20EAACh. 17 - Prob. 17.21EAACh. 17 - Prob. 17.22EAACh. 17 - Prob. 17.23EAACh. 17 - Prob. 17.24EAACh. 17 - Prob. 17.25EAACh. 17 - Prob. 17.26EAACh. 17 - Prob. 17.27EAACh. 17 - Prob. 17.28EAACh. 17 - Prob. 17.29EAACh. 17 - Prob. 17.30EAACh. 17 - Prob. 17.31EAACh. 17 - Prob. 17.32EAACh. 17 - Prob. 17.33EAACh. 17 - Prob. 17.34EAACh. 17 - Prob. 17.35EAACh. 17 - Prob. 17.36EAACh. 17 - Prob. 17.37EAACh. 17 - Prob. 17.38EAACh. 17 - Prob. 17.39EAACh. 17 - Prob. 17.40EAACh. 17 - Prob. 17.41EAACh. 17 - Prob. 17.42EAACh. 17 - Prob. 17.43EAACh. 17 - Prob. 17.44EAACh. 17 - Prob. 17.45EAACh. 17 - Prob. 17.46EAACh. 17 - Prob. 17.47EAACh. 17 - Prob. 17.48EAACh. 17 - Prob. 17.49EAACh. 17 - Prob. 17.50EAACh. 17 - Prob. 17.51EAACh. 17 - Prob. 17.52EAACh. 17 - Prob. 17.53EAACh. 17 - Prob. 17.54EAACh. 17 - Prob. 17.55EAACh. 17 - Prob. 17.56EAACh. 17 - Prob. 17.57EAACh. 17 - Prob. 17.58EAACh. 17 - Prob. 17.59EAACh. 17 - Prob. 17.60EAACh. 17 - Prob. 17.61EAACh. 17 - Prob. 17.62EAACh. 17 - Prob. 17.63EAACh. 17 - Prob. 17.64EAACh. 17 - Prob. 17.65EAACh. 17 - Prob. 17.66EAACh. 17 - Prob. 17.67EAACh. 17 - Prob. 17.68EAACh. 17 - Prob. 17.69EAACh. 17 - Prob. 17.70EAACh. 17 - Prob. 17.71EAACh. 17 - Prob. 17.72EAACh. 17 - Prob. 17.73EAACh. 17 - Prob. 17.74EAACh. 17 - Prob. 17.75EAACh. 17 - Prob. 17.76EAACh. 17 - Prob. 17.77EAACh. 17 - Prob. 17.78EAACh. 17 - Prob. 17.79EAACh. 17 - Prob. 17.80EAACh. 17 - Prob. 17.81EAACh. 17 - Prob. 17.82EAACh. 17 - Prob. 17.83EAACh. 17 - Prob. 17.84EAACh. 17 - Prob. 17.85EAACh. 17 - Prob. 17.86EAA
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