Linearization and regularization of the equations of Keplerian motion using integrals

Details Linearization and regularization of the equations of Keplerian motion using integrals Linearization and regularization of the equations of Keplerian motion using integrals

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991azh....68..197s&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 68, Jan.-Feb. 1991, p. 197-205. In Russian.

Astronomy and Astrophysics

Astronomy

4

Celestial Mechanics, Equations Of Motion, Kepler Laws, Linearization, Two Body Problem, Coordinate Transformations, Differential Equations, Integral Equations

Scientific paper

A method for transforming the Newtonian differential equations of motion of the two-body problem into linear and regular ones is presented. All the independent integrals of motion are used together with transformations of time and coordinates. The required differential equations describe the motion in a three-dimensional parametric space. The results are discussed for both unperturbed, and perturbed Keplerian motion.

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