### Abstract

We consider periodic orbits high above the ecliptic
plane in the Elliptic Restricted Three-Body Problem where the third massless body is a solar sail. Periodic orbits above the ecliptic are of practical interest as they are ideally positioned for the year-round constant imaging of, and communication with, the poles. Initially we identify an unstable periodic orbit by using a numerical continuation from a known periodic orbit above the ecliptic in the circular case with the eccentricity as the varying parameter. This orbit is then used to construct a
reference trajectory for the sail to track. In addition we illustrate an alternative method for constructing a periodic reference trajectory based on a time-delayed feedback mechanism. The reference trajectories are then tracked using a linear feedback regulator (LQR) where the control actuation is delivered by varying the solar sails orientation. Using this method it is shown that a 'near term' solar sail is capable of performing stable periodic motions high above the ecliptic.

Original language | English |
---|---|

Number of pages | 7 |

Publication status | Published - Sep 2008 |

Event | 59th International Astronautical Congress - Glasgow, Scotland Duration: 29 Sep 2008 → 3 Oct 2008 |

### Conference

Conference | 59th International Astronautical Congress |
---|---|

City | Glasgow, Scotland |

Period | 29/09/08 → 3/10/08 |

### Keywords

- solar sails
- orbits
- elliptic plane
- three body problem

## Fingerprint Dive into the research topics of 'Stabilizing periodic orbits above the elliptic plane in the solar sail 3-body problem'. Together they form a unique fingerprint.

## Cite this

Biggs, J. D., McInnes, C., & Waters, T. (2008).

*Stabilizing periodic orbits above the elliptic plane in the solar sail 3-body problem*. Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, .