### Abstract

This paperisconcerned withafuel-optimal relative orbit transfer problem for Hill-Clohessy-Wiltshire equations. The input is of the pulse type and the performance index is the total velocity change required for a transfer. For the in-plane motion, the existence of optimal three-pulse strategies is shown and the minimum total velocity change is explicitly given under the condition that the difference of orbit size is relatively larger than that of drift velocity. For the out-of-plane motion, the existence of optimal single-pulse strategies is shown. The orbit transfer problem covers formation reconfiguration problem as a special case. Midpoints of the optimal pulses coincide with those points at which the velocity along the radial direction is zero. Using this information and null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, suboptimal feedback controllers are designed. Simulation results with optimal open-loop strategies and feedback controls are given for two formation reconfiguration problems.

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

Pages (from-to) | 1329-1341 |

Number of pages | 13 |

Journal | Journal of Guidance, Control, and Dynamics |

Volume | 34 |

Issue number | 5 |

DOIs | |

Publication status | Published - Sep 1 2011 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

*Journal of Guidance, Control, and Dynamics*,

*34*(5), 1329-1341. https://doi.org/10.2514/1.51230

**Optimal pulse strategies for relative orbit transfer along a circular orbit.** / Jifuku, Ryo; Ichikawa, Akira; Bando, Mai.

Research output: Contribution to journal › Article

*Journal of Guidance, Control, and Dynamics*, vol. 34, no. 5, pp. 1329-1341. https://doi.org/10.2514/1.51230

}

TY - JOUR

T1 - Optimal pulse strategies for relative orbit transfer along a circular orbit

AU - Jifuku, Ryo

AU - Ichikawa, Akira

AU - Bando, Mai

PY - 2011/9/1

Y1 - 2011/9/1

N2 - This paperisconcerned withafuel-optimal relative orbit transfer problem for Hill-Clohessy-Wiltshire equations. The input is of the pulse type and the performance index is the total velocity change required for a transfer. For the in-plane motion, the existence of optimal three-pulse strategies is shown and the minimum total velocity change is explicitly given under the condition that the difference of orbit size is relatively larger than that of drift velocity. For the out-of-plane motion, the existence of optimal single-pulse strategies is shown. The orbit transfer problem covers formation reconfiguration problem as a special case. Midpoints of the optimal pulses coincide with those points at which the velocity along the radial direction is zero. Using this information and null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, suboptimal feedback controllers are designed. Simulation results with optimal open-loop strategies and feedback controls are given for two formation reconfiguration problems.

AB - This paperisconcerned withafuel-optimal relative orbit transfer problem for Hill-Clohessy-Wiltshire equations. The input is of the pulse type and the performance index is the total velocity change required for a transfer. For the in-plane motion, the existence of optimal three-pulse strategies is shown and the minimum total velocity change is explicitly given under the condition that the difference of orbit size is relatively larger than that of drift velocity. For the out-of-plane motion, the existence of optimal single-pulse strategies is shown. The orbit transfer problem covers formation reconfiguration problem as a special case. Midpoints of the optimal pulses coincide with those points at which the velocity along the radial direction is zero. Using this information and null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, suboptimal feedback controllers are designed. Simulation results with optimal open-loop strategies and feedback controls are given for two formation reconfiguration problems.

UR - http://www.scopus.com/inward/record.url?scp=80052670796&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052670796&partnerID=8YFLogxK

U2 - 10.2514/1.51230

DO - 10.2514/1.51230

M3 - Article

AN - SCOPUS:80052670796

VL - 34

SP - 1329

EP - 1341

JO - Journal of Guidance, Control, and Dynamics

JF - Journal of Guidance, Control, and Dynamics

SN - 0731-5090

IS - 5

ER -