### Abstract

In this paper, we consider the canonical transformations and its applications appearing in astrodynamic problems. First we address stabilization of relative motion via generalized canonical transformation and passivity-based control. Then we propose a method to solve Lambert's problem based on the Hamilton-Jacobi-Bellman (HJB) equation in optimal control theory. Using the generalized canonical transformation, we transform the performance index to positive- definite one and then solve the optimal control problem. We also apply our method to obtain solution to two-point boundary-value problem by the generating function. As an application of the generating functions approach, we consider the problem of multiple flyby mission with impulsive thrust.

Original language | English |
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Title of host publication | Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences |

Subtitle of host publication | Proceedings of the AAS/AIAA Space Flight Mechanics Meeting |

Pages | 587-603 |

Number of pages | 17 |

Publication status | Published - Dec 1 2010 |

Externally published | Yes |

Event | AAS/AIAA Space Flight Mechanics Meeting - San Diego, CA, United States Duration: Feb 14 2010 → Feb 17 2010 |

### Publication series

Name | Advances in the Astronautical Sciences |
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Volume | 136 |

ISSN (Print) | 0065-3438 |

### Other

Other | AAS/AIAA Space Flight Mechanics Meeting |
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Country | United States |

City | San Diego, CA |

Period | 2/14/10 → 2/17/10 |

### All Science Journal Classification (ASJC) codes

- Aerospace Engineering
- Space and Planetary Science

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## Cite this

*Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting*(pp. 587-603). (Advances in the Astronautical Sciences; Vol. 136).