The bicircular model near the triangular libration points of the RTBP. (English) Zbl 0883.70008
Roy, Archie E. (ed.) et al., From Newton to chaos. Modern techniques for understanding and coping with chaos in \(n\)-body dynamical systems. Proceedings of a NATO Advanced Study Institute, Cortina D’Ampezzo, Italy, July 25-August 6, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 336, 343-370 (1995).
Summary: We present a study of a simplified model of the restricted four-body problem consisting of Earth, Moon, Sun and a massless particle, as a model of the dynamics of a spacecraft. The region where we look for the motion is a vicinity of the triangular libration point of the restricted three-body problem (RTBP) (the so-called bicircular problem). The main question is the existence of zones where the motion has good stability properties. The answer is positive, but the stable motions cannot be confined to a small distance from the ecliptic plane. Both numerical simulations and analytical results are presented, and some applications to space missions are mentioned.
For the entire collection see [Zbl 0845.00056].
For the entire collection see [Zbl 0845.00056].
MSC:
| 70F07 | Three-body problems |
| 70-08 | Computational methods for problems pertaining to mechanics of particles and systems |
| 70F15 | Celestial mechanics |
| 70M20 | Orbital mechanics |
