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Zero velocity hypersurfaces for the general three-dimensional three-body problem

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Abstract

In a recent paper by Sergysels with the same title, he describes a problem concerning these surfaces. In this brief commentary, we resolve this problem.

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References

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  • Saari, D. G.: 1985, ‘Hill Surfaces and the Inclination of Orbits’, in S. Ferraz-Mello (ed.),Resonances and the Motion of Planets, Satellites, and Asteroids.

  • Saari, D. G.: 1986, ‘From Rotations and Inclinations to Zero Configurational Velocity Surfaces. II: The Best Possible Zero Configurational Velocity Surfaces’. NU preprint.

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Saari, D.G. Zero velocity hypersurfaces for the general three-dimensional three-body problem. Celestial Mechanics 39, 341–343 (1986). https://doi.org/10.1007/BF01230481

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  • DOI: https://doi.org/10.1007/BF01230481

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