A method of regularizing the equations of motion in the central force-field

Mathematics

Scientific paper

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Equations Of Motion, Field Theory (Physics), Linear Equations, Orbital Mechanics, Differential Equations, Elliptic Functions, Independent Variables, Kepler Laws, Transformations (Mathematics)

Scientific paper

The problem of regularizing the equations of motion in the central
force-field when the potential is given by introducing a regularizing
transformation of time is discussed. The method of regularization is
based on Sundman's work (1913) and uses an independent variable.
Examples of perturbed Keplerian motions are presented.

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