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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
160 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
Because
r
must be positive, that is,
r 0
, the possible values of r for the given E and 1 are deter-
mined by the inequality
Ur Vr
l
r
E() ()=+
2
2
2µ
, (6.20)
and the maximum and minimum values of r, for which
r = 0
, are given by the equality sign in
Equation 6.20. They are the turning points or the apsidal distances of the orbit. When U(r) has a
minimum and is equal to this minimal value, then
r = 0
during the entire motion. The motion is
therefore circular. No motion is possible for values of F less than this.
To illustrate the preceding points, consider motion in an attractive inverse ...
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Publisher Resources

ISBN: 9781466569980