### Abstract

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 |
---|---|

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 |

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### Keywords

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

### Cite this

*Celestial Mechanics and Dynamical Astronomy*,

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

}

*Celestial Mechanics and Dynamical Astronomy*, vol. 110, no. 3, pp. 199-215. https://doi.org/10.1007/s10569-011-9351-5

**Displaced non-Keplerian orbits using impulsive thrust.** / McInnes, Colin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Displaced non-Keplerian orbits using impulsive thrust

AU - McInnes, Colin

PY - 2011/7

Y1 - 2011/7

N2 - 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.

AB - 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.

KW - Non-Keplerian orbits

KW - circular restricted three-body problem

KW - artificial equilibria

KW - artificial satellites

KW - displaced orbits

UR - http://www.scopus.com/inward/record.url?scp=79960331586&partnerID=8YFLogxK

UR - http://www.springerlink.com/content/g47650630468/

U2 - 10.1007/s10569-011-9351-5

DO - 10.1007/s10569-011-9351-5

M3 - Article

VL - 110

SP - 199

EP - 215

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 3

ER -