Linearization of dynamical systems using integrals of the motion

Details Linearization of dynamical systems using integrals of the motion Linearization of dynamical systems using integrals of the motion

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..499s&link_type=abstract

Celestial Mechanics, vol. 14, Dec. 1976, p. 499-508. NASA-supported research.

Physics

9

Celestial Mechanics, Differential Equations, Equations Of Motion, Linear Systems, Independent Variables, Integral Equations, Kepler Laws, Perturbation Theory

Scientific paper

A method is presented which transforms certain nonlinear differential
equations of dynamics into linear equations by introducing an
independent variable and utilizing the integrals of motion. As examples
of special interest, the linearizations of unperturbed and perturbed
Keplerian motions are discussed.

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