### Abstract

This paper generalizes the invariant manifolds of unstable libration point orbits through the application of continuous thrust. Considering Jacobi constant of the end of invariant manifolds, an artificial periodic orbit around a libration point realizes heteroclinic connections between itself and an unforced periodic orbit with same Jacobi constant of the end of invariant manifolds. Heteroclinic connections between libration point orbits are constructed by detecting intersections of states of manifolds on the Poincaré map. We reveal low-energy spacecraft can transfer to some periodic orbits with different Jacobi constant. In addition, this paper defines New Jacobi constant of low-thrust spacecraft. By utilizing new Jacobi constant, we illustrate zero-velocity curves of low-thrust spacecraft and reveal that there is a crack of zero-velocity curves and spacecraft can pass the crack.

Original language | English |
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Title of host publication | Spaceflight Mechanics 2019 |

Editors | Francesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti |

Publisher | Univelt Inc. |

Pages | 1235-1254 |

Number of pages | 20 |

ISBN (Print) | 9780877036593 |

Publication status | Published - Jan 1 2019 |

Event | 29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States Duration: Jan 13 2019 → Jan 17 2019 |

### Publication series

Name | Advances in the Astronautical Sciences |
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Volume | 168 |

ISSN (Print) | 0065-3438 |

### Conference

Conference | 29th AAS/AIAA Space Flight Mechanics Meeting, 2019 |
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Country | United States |

City | Maui |

Period | 1/13/19 → 1/17/19 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Aerospace Engineering
- Space and Planetary Science

### Cite this

*Spaceflight Mechanics 2019*(pp. 1235-1254). [AAS 19-396] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..

**Trajectory design in the circular restricted three-body problem using artificial invariant manifolds.** / Oshima, Yuki; Bando, Mai; Hokamoto, Shinji.

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

*Spaceflight Mechanics 2019.*, AAS 19-396, Advances in the Astronautical Sciences, vol. 168, Univelt Inc., pp. 1235-1254, 29th AAS/AIAA Space Flight Mechanics Meeting, 2019, Maui, United States, 1/13/19.

}

TY - GEN

T1 - Trajectory design in the circular restricted three-body problem using artificial invariant manifolds

AU - Oshima, Yuki

AU - Bando, Mai

AU - Hokamoto, Shinji

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper generalizes the invariant manifolds of unstable libration point orbits through the application of continuous thrust. Considering Jacobi constant of the end of invariant manifolds, an artificial periodic orbit around a libration point realizes heteroclinic connections between itself and an unforced periodic orbit with same Jacobi constant of the end of invariant manifolds. Heteroclinic connections between libration point orbits are constructed by detecting intersections of states of manifolds on the Poincaré map. We reveal low-energy spacecraft can transfer to some periodic orbits with different Jacobi constant. In addition, this paper defines New Jacobi constant of low-thrust spacecraft. By utilizing new Jacobi constant, we illustrate zero-velocity curves of low-thrust spacecraft and reveal that there is a crack of zero-velocity curves and spacecraft can pass the crack.

AB - This paper generalizes the invariant manifolds of unstable libration point orbits through the application of continuous thrust. Considering Jacobi constant of the end of invariant manifolds, an artificial periodic orbit around a libration point realizes heteroclinic connections between itself and an unforced periodic orbit with same Jacobi constant of the end of invariant manifolds. Heteroclinic connections between libration point orbits are constructed by detecting intersections of states of manifolds on the Poincaré map. We reveal low-energy spacecraft can transfer to some periodic orbits with different Jacobi constant. In addition, this paper defines New Jacobi constant of low-thrust spacecraft. By utilizing new Jacobi constant, we illustrate zero-velocity curves of low-thrust spacecraft and reveal that there is a crack of zero-velocity curves and spacecraft can pass the crack.

UR - http://www.scopus.com/inward/record.url?scp=85072967682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072967682&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85072967682

SN - 9780877036593

T3 - Advances in the Astronautical Sciences

SP - 1235

EP - 1254

BT - Spaceflight Mechanics 2019

A2 - Topputo, Francesco

A2 - Sinclair, Andrew J.

A2 - Wilkins, Matthew P.

A2 - Zanetti, Renato

PB - Univelt Inc.

ER -