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Zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies
Authors:TJ Kalvouridis
Institution:(1) Section of Mechanics, Faculty of Applied Sciences, National Technical University of Athens, Athens, Greece;(2) Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece
Abstract:The zero-velocity surfaces in the three-dimensional ring problem of Nthinsp+thinsp1 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:zero-velocity surfaces  ring problem  N-body configurations
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