### Abstract

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

Pages | 151-180 |

Journal | Celestial Mechanics and Dynamical Astronomy |

Volume | 114 |

Issue number | 1-2 |

Early online date | 22 Jun 2012 |

DOIs | |

Publication status | Published - Oct 2012 |

### Fingerprint

### Keywords

- three body problem
- eight-shaped orbits
- solar sailing
- polar observation
- periodic orbits
- visibility analysis
- stability

### Cite this

*Celestial Mechanics and Dynamical Astronomy*,

*114*(1-2), 151-180. https://doi.org/10.1007/s10569-012-9422-2

}

*Celestial Mechanics and Dynamical Astronomy*, vol. 114, no. 1-2, pp. 151-180. https://doi.org/10.1007/s10569-012-9422-2

**Natural and sail-displaced doubly-symmetric Lagrange point orbits for polar coverage.** / Ceriotti, Matteo; McInnes, Colin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Natural and sail-displaced doubly-symmetric Lagrange point orbits for polar coverage

AU - Ceriotti, Matteo

AU - McInnes, Colin

PY - 2012/10

Y1 - 2012/10

N2 - This paper proposes the use of doubly-symmetric, eight-shaped orbits in the circular restricted three-body problem for continuous coverage of the high-latitude regions of the Earth. These orbits, for a range of amplitudes, spend a large fraction of their period above either pole of the Earth. It is shown that they complement Sun-synchronous polar and highly eccentric Molniya orbits, and present a possible alternative to low thrust pole-sitter orbits. Both natural and solar-sail displaced orbits are considered. Continuation methods are described and used to generate families of these orbits. Starting from ballistic orbits, other families are created either by increasing the sail lightness number, varying the period or changing the sail attitude. Some representative orbits are then chosen to demonstrate the visibility of high-latitude regions throughout the year. A stability analysis is also performed, revealing that the orbits are unstable: it is found that for particular orbits, a solar sail can reduce their instability. A preliminary design of a linear quadratic regulator is presented as a solution to stabilize the system by using the solar sail only. Finally, invariant manifolds are exploited to identify orbits that present the opportunity of a ballistic transfer directly from low Earth orbit.

AB - This paper proposes the use of doubly-symmetric, eight-shaped orbits in the circular restricted three-body problem for continuous coverage of the high-latitude regions of the Earth. These orbits, for a range of amplitudes, spend a large fraction of their period above either pole of the Earth. It is shown that they complement Sun-synchronous polar and highly eccentric Molniya orbits, and present a possible alternative to low thrust pole-sitter orbits. Both natural and solar-sail displaced orbits are considered. Continuation methods are described and used to generate families of these orbits. Starting from ballistic orbits, other families are created either by increasing the sail lightness number, varying the period or changing the sail attitude. Some representative orbits are then chosen to demonstrate the visibility of high-latitude regions throughout the year. A stability analysis is also performed, revealing that the orbits are unstable: it is found that for particular orbits, a solar sail can reduce their instability. A preliminary design of a linear quadratic regulator is presented as a solution to stabilize the system by using the solar sail only. Finally, invariant manifolds are exploited to identify orbits that present the opportunity of a ballistic transfer directly from low Earth orbit.

KW - three body problem

KW - eight-shaped orbits

KW - solar sailing

KW - polar observation

KW - periodic orbits

KW - visibility analysis

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=84867702964&partnerID=8YFLogxK

U2 - 10.1007/s10569-012-9422-2

DO - 10.1007/s10569-012-9422-2

M3 - Article

VL - 114

SP - 151

EP - 180

JO - Celestial Mechanics and Dynamical Astronomy

T2 - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 1-2

ER -