The KS-transformation revisited (Q1332903)
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scientific article; zbMATH DE number 633704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The KS-transformation revisited |
scientific article; zbMATH DE number 633704 |
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The KS-transformation revisited (English)
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5 September 1994
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The paper searches for a relationship between the physical, characteristic elements of the Kepler orbit and the abstract, theoretical formulation of the Kustaaheimo-Stiefel (KS) map. A simple hodograph approach to the integrals of the Keplerian motion is given. The KS-map represents a particular roto-dilation in the physical Euclidean space which carries the third vector of the fixed reference frame onto the position vector of the orbiting particle.
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Runge-Lenz vector
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orbital elements
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integrals of motion
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Kepler orbit
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hodograph approach
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physical Euclidean space
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position vector
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