### Abstract

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

Pages | 782-793 |

Number of pages | 12 |

Journal | Journal of Guidance, Control and Dynamics |

Volume | 33 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 2010 |

### Fingerprint

### Keywords

- solar sail
- non-keplerian orbits
- displaced geostationary orbits
- space
- solar power

### Cite this

*Journal of Guidance, Control and Dynamics*,

*33*(3), 782-793. https://doi.org/10.2514/1.46681

}

*Journal of Guidance, Control and Dynamics*, vol. 33, no. 3, pp. 782-793. https://doi.org/10.2514/1.46681

**Light levitated geostationary cylindrical orbits are feasible.** / Baig, S.; McInnes, C.R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Light levitated geostationary cylindrical orbits are feasible

AU - Baig, S.

AU - McInnes, C.R.

PY - 2010/5

Y1 - 2010/5

N2 - This paper discusses a new family of non-Keplerian orbits for solar sail spacecraft displaced above or below the Earth's equatorial plane. The work aims to prove the assertion in the literature that displaced geostationary orbits exist, possibly to increase the number of available slots for geostationary communications satellites. The existence of displaced non-Keplerian periodic orbits is ¯rst shown analytically by linearization of the solar sail dynamics around a geostationary point. The full displaced periodic solution of the non-linear equations of motion is then obtained using a Hermite-Simpson collocation method with inequality path constraints. The initial guess to the collocation method is given by the linearized solution and the inequality path constraints are enforced as a box around the linearized solution. The linear and nonlinear displaced periodic orbits are also obtained for the worst-case Sun-sail orientation at the solstices. Near-term and high-performance sails can be displaced between 10 km and 25 km above the Earth's equatorial plane during the summer solstice, while a perforated sail can be displaced above the usual station-keeping box (75 £ 75 km) of nominal geostationary satellites. Light-levitated orbit applications to Space Solar Power are also considered.

AB - This paper discusses a new family of non-Keplerian orbits for solar sail spacecraft displaced above or below the Earth's equatorial plane. The work aims to prove the assertion in the literature that displaced geostationary orbits exist, possibly to increase the number of available slots for geostationary communications satellites. The existence of displaced non-Keplerian periodic orbits is ¯rst shown analytically by linearization of the solar sail dynamics around a geostationary point. The full displaced periodic solution of the non-linear equations of motion is then obtained using a Hermite-Simpson collocation method with inequality path constraints. The initial guess to the collocation method is given by the linearized solution and the inequality path constraints are enforced as a box around the linearized solution. The linear and nonlinear displaced periodic orbits are also obtained for the worst-case Sun-sail orientation at the solstices. Near-term and high-performance sails can be displaced between 10 km and 25 km above the Earth's equatorial plane during the summer solstice, while a perforated sail can be displaced above the usual station-keeping box (75 £ 75 km) of nominal geostationary satellites. Light-levitated orbit applications to Space Solar Power are also considered.

KW - solar sail

KW - non-keplerian orbits

KW - displaced geostationary orbits

KW - space

KW - solar power

UR - http://pdf.aiaa.org/jaPreview/JGCD/2010/PVJA46681.pdf

U2 - 10.2514/1.46681

DO - 10.2514/1.46681

M3 - Article

VL - 33

SP - 782

EP - 793

JO - Journal of Guidance, Control and Dynamics

T2 - Journal of Guidance, Control and Dynamics

JF - Journal of Guidance, Control and Dynamics

SN - 0731-5090

IS - 3

ER -