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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
180 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
orbit as illustrated in Figure 6.16. The orbit of the spacecraft is an elliptical one about the sun with
perihelion at the Earth’s orbit, and the planet and the spacecraft meet at the aphelion. The equation
of the orbit is given by Equation 6.39:
r =
+
α
εθ1cos
where α and ε are determined from the maximum and minimum values of r. For planet Uranus,
r
min
= 1 AU (at Earth), r
max
= 19.2 AU (at Uranus)
where AU is the astronomical unit that is the mean Earth–sun distance (~93 × 10
7
mi. or 1.5 ×
10
8
km). Thus,
rAUr AU
min max
,.
=
+
==
=
α
ε
α
ε1
1
1
19 2 .
Solving for α and ε, we nd ε = 0.9 and α = 1
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Publisher Resources

ISBN: 9781466569980