Second-order systems with Runge-Lenz-type vectors (Q1097055)
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scientific article; zbMATH DE number 4033167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second-order systems with Runge-Lenz-type vectors |
scientific article; zbMATH DE number 4033167 |
Statements
Second-order systems with Runge-Lenz-type vectors (English)
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1987
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A class of second-order equation fields which contains the equations of motion of the Kepler and charge monopole problems is considered. In particular, the problem of the existence of a second integral of motion quadratic in momenta besides the energy is investigated and completely solved. A subclass of systems is exhibited which have a Runge-Lenz-type vector, but it is shown that the monopole system itself has no second (time-independent) quadratic integral of motion.
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Coulomb-Kepler system
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motion
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charge monopole problems
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existence of a second integral
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motion quadratic in momenta
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Runge-Lenz-type vector
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