### Abstract

A direct optimization method based on differential inclusion concepts has been developed and used to compute low thrust trajectories. This new formulation removes explicit control dependence from the problem statement thereby reducing the dimension of the parameter space of the resulting nonlinear programming problem. A simple example of a two-dimensional gravity-free trajectory involving a maximum velocity transfer to a rectilinear path is discussed. Three interplanetary trajectory examples, an Earth-Mars constant specific impulse transfer, an Earth-Jupiter constant specific impulse transfer, and an Earth-Venus-Mars variable specific impulse gravity assist, are also included. An evaluation of the technique's performance is provided.

Original language | English (US) |
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Title of host publication | Advances in the Astronautical Sciences |

Editors | John E.Jr. Cochran, Charles D.Jr. Edwards, Stephen J. Hoffman, Richard Holdaway |

Publisher | Publ by Univelt Inc |

Pages | 1003-1014 |

Number of pages | 12 |

Volume | 87 |

Edition | 2 |

ISBN (Print) | 0877033862 |

State | Published - Jan 1 1994 |

Externally published | Yes |

Event | Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2) - Cocoa Beach, FL, USA Duration: Feb 14 1994 → Feb 16 1994 |

### Other

Other | Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2) |
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City | Cocoa Beach, FL, USA |

Period | 2/14/94 → 2/16/94 |

### Fingerprint

### ASJC Scopus subject areas

- Aerospace Engineering

### Cite this

*Advances in the Astronautical Sciences*(2 ed., Vol. 87, pp. 1003-1014). Publ by Univelt Inc.

**Optimal low thrust trajectories using differential inclusion concepts.** / Coverstone, Victoria; Williams, Steven N.

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

*Advances in the Astronautical Sciences.*2 edn, vol. 87, Publ by Univelt Inc, pp. 1003-1014, Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2), Cocoa Beach, FL, USA, 2/14/94.

}

TY - GEN

T1 - Optimal low thrust trajectories using differential inclusion concepts

AU - Coverstone, Victoria

AU - Williams, Steven N.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - A direct optimization method based on differential inclusion concepts has been developed and used to compute low thrust trajectories. This new formulation removes explicit control dependence from the problem statement thereby reducing the dimension of the parameter space of the resulting nonlinear programming problem. A simple example of a two-dimensional gravity-free trajectory involving a maximum velocity transfer to a rectilinear path is discussed. Three interplanetary trajectory examples, an Earth-Mars constant specific impulse transfer, an Earth-Jupiter constant specific impulse transfer, and an Earth-Venus-Mars variable specific impulse gravity assist, are also included. An evaluation of the technique's performance is provided.

AB - A direct optimization method based on differential inclusion concepts has been developed and used to compute low thrust trajectories. This new formulation removes explicit control dependence from the problem statement thereby reducing the dimension of the parameter space of the resulting nonlinear programming problem. A simple example of a two-dimensional gravity-free trajectory involving a maximum velocity transfer to a rectilinear path is discussed. Three interplanetary trajectory examples, an Earth-Mars constant specific impulse transfer, an Earth-Jupiter constant specific impulse transfer, and an Earth-Venus-Mars variable specific impulse gravity assist, are also included. An evaluation of the technique's performance is provided.

UR - http://www.scopus.com/inward/record.url?scp=0027931915&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027931915&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0027931915

SN - 0877033862

VL - 87

SP - 1003

EP - 1014

BT - Advances in the Astronautical Sciences

A2 - Cochran, John E.Jr.

A2 - Edwards, Charles D.Jr.

A2 - Hoffman, Stephen J.

A2 - Holdaway, Richard

PB - Publ by Univelt Inc

ER -