Motor Integrals of a Generalized Kepler Motion

Details Motor Integrals of a Generalized Kepler Motion Motor Integrals of a Generalized Kepler Motion

Aug 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...6...52k&link_type=abstract

Celestial Mechanics, Volume 6, Issue 1, pp.52-59

Physics

1

Scientific paper

The ordinary spinor differential Equation (20) of the unperturbed Kepler motion is obtained from the classical equation of motion (19) if one uses the spinor regularization (9) and postulates an essential subsidiary condition (10). A natural generalization for the Kepler motion follows by dropping this subsidiary conditions; it is the 8-parameter set of solutions of the spinor equation of motion (20). The sixteen natural extensive integrals (30) (35) for this generalized Kepler motion are here deduced by means of the relativistic motors (2), (7) of the Spinor Ring Algebra. These integrals form, with respect to the Poisson bracket operation, a 15-dimensional Lie algebra (40) (44), closely related to the Lie algebras in quantum mechanics.

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