A relativistic spinor linearization of Keplerian motion

Mathematics

Scientific paper

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Equations Of Motion, Harmonic Oscillation, Kepler Laws, Relativistic Theory, Space Mechanics, Spinor Groups, Conformal Mapping, Differential Equations, Lie Groups, Linearization, Stellar Motions, Transformations (Mathematics)

Scientific paper

The space of second-order symmetric spinors is applied conformally in
the space of the couples of two-component spinors. By this
transformation, the relativistic differential equation corresponding to
Keplerian motion is reduced to two harmonic oscillations.

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