### Abstract

A modern space mission is usually composed of several events such as impulsive maneuvers, thrust arcs, and flybys. Traditionally, a mission planner would develop a structure for the mission using categorical variables, and then find the best spacecraft trajectory solving a continuous optimal control problem. A problem of this type involving categorical and continuous variables in the formulation is known as a hybrid optimal control (HOC) problem. A recent approach to solving HOC problems has the potential to automate the mission planning process by minimizing human intervention in the loop. The method uses two nested loops: an outer-loop which handles the finite dynamics and finds a solution sequence in terms of the categorical variables, and an inner-loop which performs the optimization of the continuous-time dynamical system and obtains the required control law. In this work, we introduce genetic algorithms and Runge-Kutta parallel-shooting with nonlinear programming as methods of solution for the outer-loop and inner-loop problems respectively.

Original language | English (US) |
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Title of host publication | American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting |

Pages | 259-276 |

Number of pages | 18 |

State | Published - Dec 1 2007 |

Event | 17th Annual Space Flight Mechanics Meeting - Sedona, AZ, United States Duration: Jan 28 2007 → Feb 1 2007 |

### Publication series

Name | Advances in the Astronautical Sciences |
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Volume | 127 PART 1 |

ISSN (Print) | 0065-3438 |

### Other

Other | 17th Annual Space Flight Mechanics Meeting |
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Country | United States |

City | Sedona, AZ |

Period | 1/28/07 → 2/1/07 |

### ASJC Scopus subject areas

- Aerospace Engineering
- Space and Planetary Science

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## Cite this

*American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting*(pp. 259-276). (Advances in the Astronautical Sciences; Vol. 127 PART 1).