Accuracy of Kepler approximation for fly-by orbits near an attracting centre

Authors:
  • VAV. M. Alexeyev
    V. M. Alexeyev
  • YOYu. S. Osipov
    Yu. S. Osipov

Abstract
In the study of the motion of a particlewith negligible mass in the gravitational field created by other bodies (for example, the motion of the comet within the Solar system) it is natural to decompose its trajectory into regular and singular parts.