Zero-velocity surfaces in the three-dimensional ring problem of N + 1 bodies |
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Authors: | TJ Kalvouridis |
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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 |
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Abstract: | 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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Keywords: | zero-velocity surfaces ring problem N-body configurations |
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