Physics
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..39...23f&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 39, May 1986, p. 23-31.
Physics
3
Kepler Laws, Linear Transformations, Orbit Perturbation, Satellite Orbits, Elliptical Orbits, Equations Of Motion
Scientific paper
This paper treats the linearization of problems of motion in three-dimensions in not-central force fields, when the problems are reducible to the one-dimensional case by using integrals of the motion. Linearizing transformations of the independent variable are found to solve such problems if the motion is bounded, and explicit forms of the regularizing functions, corresponding to more common potentials, are given. An application is presented of the integration of a radial intermediary orbit that arises in the analytical study of the theory of artificial satellites.
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