### Abstract

The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.

Original language | English |
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Title of host publication | Spaceflight Mechanics 2016 |

Editors | Renato Zanetti, Ryan P. Russell, Martin T. Ozimek, Angela L. Bowes |

Pages | 4049-4064 |

Number of pages | 16 |

Volume | 158 |

Publication status | Published - 14 Feb 2016 |

Event | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States Duration: 14 Feb 2016 → 18 Feb 2016 |

### Conference

Conference | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 |
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Country | United States |

City | Napa |

Period | 14/02/16 → 18/02/16 |

### Fingerprint

### Keywords

- collision avoidance
- circular orbit
- near earth object

### Cite this

*Spaceflight Mechanics 2016*(Vol. 158, pp. 4049-4064). [AAS 16-365]

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*Spaceflight Mechanics 2016.*vol. 158, AAS 16-365, pp. 4049-4064, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 14/02/16.

**Collision avoidance as a robust reachability problem under model uncertainty.** / Vasile, Massimiliano; Tardioli, Chiara; Riccardi, Annalisa; Yamakawa, Hiroshi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - Collision avoidance as a robust reachability problem under model uncertainty

AU - Vasile, Massimiliano

AU - Tardioli, Chiara

AU - Riccardi, Annalisa

AU - Yamakawa, Hiroshi

N1 - This paper was originally presented at the 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 held 14-18/02/16, Napa, U.S.A., and was originally published in the American Astronautical Society (AAS) publication Spaceflight Mechanics 2016. ed. / Renato Zanetti; Ryan P. Russell; Martin T. Ozimek; Angela L. Bowes. Vol. 158 Univelt Inc, 2016. p. 4049-4064 AAS 16-365. (Copyright © 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com).

PY - 2016/2/14

Y1 - 2016/2/14

N2 - The paper presents an approach to the design of an optimal collision avoidance maneuver under model uncertainty. The dynamical model is assumed to be only partially known and the missing components are modeled with a polynomial expansion whose coefficients are recovered from sparse observations. The resulting optimal control problem is then translated into a robust reachability problem in which a controlled object has to avoid the region of possible collisions, in a given time, with a given target.The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.

AB - The paper presents an approach to the design of an optimal collision avoidance maneuver under model uncertainty. The dynamical model is assumed to be only partially known and the missing components are modeled with a polynomial expansion whose coefficients are recovered from sparse observations. The resulting optimal control problem is then translated into a robust reachability problem in which a controlled object has to avoid the region of possible collisions, in a given time, with a given target.The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.

KW - collision avoidance

KW - circular orbit

KW - near earth object

UR - http://www.scopus.com/inward/record.url?scp=85007371585&partnerID=8YFLogxK

UR - http://www.univelt.com/book=5955

M3 - Conference contribution book

SN - 9780877036333

VL - 158

SP - 4049

EP - 4064

BT - Spaceflight Mechanics 2016

A2 - Zanetti, Renato

A2 - Russell, Ryan P.

A2 - Ozimek, Martin T.

A2 - Bowes, Angela L.

ER -