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### Abstract

This paper investigates new families of displaced, highly non-Keplerian orbits in

the two-body problem and artificial equilibria in the circular restricted three-body problem. The families of orbits presented extend prior work by using periodic impulses to generate displaced orbits rather than continuous thrust. The new displaced orbits comprise a sequence of individual Keplerian arcs whose intersection is continuous in position, with discontinuities in velocity removed using impulses. For frequent impulses the new families of orbits approximate continuous thrust non-Keplerian orbits found in previous studies. To generate approximations to artificial equilibria in the circular restricted three-body problem, periodic impulses are used to generate a sequence of connected three-body arcs which begin and terminate at a fixed position in the rotating frame of reference. Again, these families of orbits reduce to the families of artificial equilibria found using continuous thrust.

the two-body problem and artificial equilibria in the circular restricted three-body problem. The families of orbits presented extend prior work by using periodic impulses to generate displaced orbits rather than continuous thrust. The new displaced orbits comprise a sequence of individual Keplerian arcs whose intersection is continuous in position, with discontinuities in velocity removed using impulses. For frequent impulses the new families of orbits approximate continuous thrust non-Keplerian orbits found in previous studies. To generate approximations to artificial equilibria in the circular restricted three-body problem, periodic impulses are used to generate a sequence of connected three-body arcs which begin and terminate at a fixed position in the rotating frame of reference. Again, these families of orbits reduce to the families of artificial equilibria found using continuous thrust.

Original language | English |
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Pages (from-to) | 199-215 |

Number of pages | 17 |

Journal | Celestial Mechanics and Dynamical Astronomy |

Volume | 110 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jul 2011 |

### Keywords

- Non-Keplerian orbits
- circular restricted three-body problem
- artificial equilibria
- artificial satellites
- displaced orbits

## Fingerprint Dive into the research topics of 'Displaced non-Keplerian orbits using impulsive thrust'. Together they form a unique fingerprint.

## Projects

- 1 Finished

## VISIONSPACE - VISIONARY SPACE SYSTEMS: ORBITAL DYNAMICS AT EXTREMES OF SPACECRAFT LENGTH SCALE (ERC ADVANCED GRANT)

McInnes, C.

European Commission - FP7 - European Research Council

1/02/09 → 30/09/14

Project: Research

## Cite this

McInnes, C. (2011). Displaced non-Keplerian orbits using impulsive thrust.

*Celestial Mechanics and Dynamical Astronomy*,*110*(3), 199-215. https://doi.org/10.1007/s10569-011-9351-5