A method of uniformization of solutions in problems of central motion

Details A method of uniformization of solutions in problems of central motion A method of uniformization of solutions in problems of central motion

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981primm..45...34b&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 45, Jan.-Feb. 1981, p. 34-41. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Models, Celestial Mechanics, Equations Of Motion, Kepler Laws, Linear Systems, Perturbation Theory

Scientific paper

A uniformization method is proposed for problems of central motion in the framework of linear celestial mechanics. A regularization procedure is used to remove the pole-type singularity associated with the central body and to reduce the equations of motion to a linear form by giving them the form of harmonic oscillator equations. This makes it possible to represent the solutions in a uniform way without the need for branching. The approach is applied to the example of perturbed Keplerian motion.

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