Zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies

Author: Kalvouridis, T.J.

Source: Celestial Mechanics and Dynamical Astronomy, Volume 80, Number 2, June 2001 , pp. 133-144(12)

Publisher: Springer

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The zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies and their parametric evolution is the subject of this paper. These surfaces, which are also known as Hill's or Jacobian surfaces, provide us with valuable information concerning the regions of the permissible particle motion and the existence of equilibrium positions.

Keywords: N-body configurations; ring problem; zero-velocity surfaces

Document Type: Regular Paper

Affiliations: Department of Engineering Science, National Technical University of Athens, Greece

Publication date: June 1, 2001

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