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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
170 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
It is obvious that r = r
min
when cos θ is a maximum, that is, when θ = 0. Thus, the choice of θ
0
=0
corresponds to measuring θ from r
min
. This position is called the pericenter. The position of r
max
is
called the apocenter. The corresponding terms for motion about the sun are perihelion and aphelion
and, for motion about the earth, perigee and apogee. The general term for these turning points is
apsides.
Let us return to the equation of orbit (Equation 6.39), a conic section. For attractive force, k > 0,
and so α (= l
2
/μk) > 0; it is then evident from Equation 6.39 that the conditions ...
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Publisher Resources

ISBN: 9781466569980