### Abstract

Language | English |
---|---|

Pages | 25-35 |

Number of pages | 11 |

Journal | Acta Astronautica |

Volume | 116 |

Early online date | 7 Jun 2015 |

DOIs | |

Publication status | Published - Nov 2015 |

### Fingerprint

### Keywords

- solar sailing
- circular restricted three-body problem
- Earth-Moon problem
- Lagrange point orbits
- Lyapunov orbits
- halo orbits

### Cite this

*Acta Astronautica*,

*116*, 25-35. https://doi.org/10.1016/j.actaastro.2015.05.034

}

*Acta Astronautica*, vol. 116, pp. 25-35. https://doi.org/10.1016/j.actaastro.2015.05.034

**Solar sail Lyapunov and halo orbits in the Earth-Moon three-body problem.** / Heiligers, Jeannette; Hiddink, Sander; Noomen, Ron; McInnes, Colin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Solar sail Lyapunov and halo orbits in the Earth-Moon three-body problem

AU - Heiligers, Jeannette

AU - Hiddink, Sander

AU - Noomen, Ron

AU - McInnes, Colin

PY - 2015/11

Y1 - 2015/11

N2 - Solar sailing has been proposed for a range of novel space applications, including hovering above the ecliptic for high-latitude observations of the Earth and monitoring the Sun from a sub-L1 position for space weather forecasting. These applications, and many others, are all defined in the Sun-Earth three-body problem, while little research has been conducted to investigate the potential of solar sailing in the Earth-Moon three-body problem. This paper therefore aims to find solar sail periodic orbits in the Earth-Moon three-body problem, in particular Lagrange-point orbits. By introducing a solar sail acceleration to the Earth-Moon three-body problem, the system becomes non-autonomous and constraints on the orbital period need to be imposed. In this paper, the problem is solved as a two-point boundary value problem together with a continuation approach: starting from a natural Lagrange-point orbit, the solar sail acceleration is gradually increased and the result for the previous sail performance is used as an initial guess for a slightly better sail performance. Three in-plane steering laws are considered for the sail, two where the attitude of the sail is fixed in the synodic reference frame (perpendicular to the Earth-Moon line) and one where the sail always faces the Sun. The results of the paper include novel families of solar sail Lyapunov and Halo orbits around the Earth-Moon L1 and L2 Lagrange points, respectively. These orbits are double-revolution orbits that wind around or are off-set with respect to the natural Lagrange-point orbit. Finally, the effect of an out-of-plane solar sail acceleration component and that of the Sun-sail configuration is investigated, giving rise to additional families of solar sail periodic orbits in the Earth-Moon three-body problem.

AB - Solar sailing has been proposed for a range of novel space applications, including hovering above the ecliptic for high-latitude observations of the Earth and monitoring the Sun from a sub-L1 position for space weather forecasting. These applications, and many others, are all defined in the Sun-Earth three-body problem, while little research has been conducted to investigate the potential of solar sailing in the Earth-Moon three-body problem. This paper therefore aims to find solar sail periodic orbits in the Earth-Moon three-body problem, in particular Lagrange-point orbits. By introducing a solar sail acceleration to the Earth-Moon three-body problem, the system becomes non-autonomous and constraints on the orbital period need to be imposed. In this paper, the problem is solved as a two-point boundary value problem together with a continuation approach: starting from a natural Lagrange-point orbit, the solar sail acceleration is gradually increased and the result for the previous sail performance is used as an initial guess for a slightly better sail performance. Three in-plane steering laws are considered for the sail, two where the attitude of the sail is fixed in the synodic reference frame (perpendicular to the Earth-Moon line) and one where the sail always faces the Sun. The results of the paper include novel families of solar sail Lyapunov and Halo orbits around the Earth-Moon L1 and L2 Lagrange points, respectively. These orbits are double-revolution orbits that wind around or are off-set with respect to the natural Lagrange-point orbit. Finally, the effect of an out-of-plane solar sail acceleration component and that of the Sun-sail configuration is investigated, giving rise to additional families of solar sail periodic orbits in the Earth-Moon three-body problem.

KW - solar sailing

KW - circular restricted three-body problem

KW - Earth-Moon problem

KW - Lagrange point orbits

KW - Lyapunov orbits

KW - halo orbits

UR - http://www.sciencedirect.com/science/article/pii/S0094576515002295

U2 - 10.1016/j.actaastro.2015.05.034

DO - 10.1016/j.actaastro.2015.05.034

M3 - Article

VL - 116

SP - 25

EP - 35

JO - Acta Astronautica

T2 - Acta Astronautica

JF - Acta Astronautica

SN - 0094-5765

ER -