Vector constants of the motion and orbits in the Coulomb/Kepler problem
classification
⚛️ physics.class-ph
physics.ed-ph
keywords
vectormotionorbitsconicconstantconstantscoulombdescribing
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The equation for the conic sections describing the possible orbits in a potential $V \sim r^{-1}$ is obtained by means of a vector constant of the motion differing from the traditional Laplace-Runge-Lenz vector.
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