### Abstract

In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.

Original language | English |
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Title of host publication | Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology |

Pages | 2607-2611 |

Number of pages | 5 |

DOIs | |

Publication status | Published - 2008 Dec 1 |

Externally published | Yes |

Event | SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology - Tokyo, Japan Duration: 2008 Aug 20 → 2008 Aug 22 |

### Publication series

Name | Proceedings of the SICE Annual Conference |
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### Other

Other | SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology |
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Country | Japan |

City | Tokyo |

Period | 08/8/20 → 08/8/22 |

### Keywords

- Artificial equilibrium point
- Restricted three body problem

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering

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## Cite this

*Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology*(pp. 2607-2611). [4655106] (Proceedings of the SICE Annual Conference). https://doi.org/10.1109/SICE.2008.4655106