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

Astronomy and Astrophysics – Astronomy

Scientific paper

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Zero-Velocity Surfaces, Ring Problem, N-Body Configurations

Scientific paper

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.

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