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Classical Planar Scattering by Coulombic Potentials (Paperback, Softcover reprint of the original 1st ed. 1992)
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Classical Planar Scattering by Coulombic Potentials (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: Lecture Notes in Physics Monographs, 13
Expected to ship within 10 - 15 working days
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Astronomy as well as molecular physics describe non-relativistic
motion by an interaction of the same form: By Newton's respectively
by Coulomb's potential. But whereas the fundamental laws of motion
thus have a simple form, the n-body problem withstood (for n >
2) all attempts of an explicit solution. Indeed, the studies of
Poincare at the end of the last century lead to the conclusion that
such an explicit solution should be impossible. Poincare
himselfopened a new epoch for rational mechanics by asking qual
itative questions like the one about the stability of the solar
system. To a largeextent, his work, which was critical for the
formation of differential geometry and topology, was motivated by
problems arising in the analysis of the n-body problem ([38], p.
183). As it turned out, even by confining oneselfto questions
ofqualitativenature, the general n-body problem could not be
solved. Rather, simplified models were treated, like planar motion
or the restricted 3-body problem, where the motion of a test
particle did not influence the other two bodies.
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