### Abstract

This study analyzes a recently discovered new class of exterior transfers to the Moon under the perspective of lunar collision orbit dynamics. These transfers typically end with a retrograde ballistic capture, i.e., with negative Keplerian energy and angular momentum with respect to the Moon. Yet their Jacobi constant is relatively low, at which no forbidden regions exist, and the transfers do not appear to mimic the dynamics of the invariant manifolds of the Lagrange points. This paper shows that these orbits shadow instead lunar collision orbits. We investigate the dynamics of singular, lunar collision orbits in the Earth-Moon planar circular restricted three-body problem, and reveal their rich phase space structure in the medium-energy regime, for which invariant manifolds of the Lagrange point orbits break up. We show that lunar retrograde ballistic capture trajectories lie inside the tube structure of collision orbits. We also develop a method to compute medium-energy transfers by patching together the orbits inside the collision tube and those whose apogees are located in the appropriate quadrant in the Sun-Earth system. The method is used to systematically reproduce the novel retrograde ballistic capture.

Original language | English |
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Title of host publication | Spaceflight Mechanics 2016 |

Publisher | Univelt Inc. |

Pages | 745-763 |

Number of pages | 19 |

Volume | 158 |

ISBN (Print) | 9780877036333 |

Publication status | Published - 2016 |

Event | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States Duration: 2016 Feb 14 → 2016 Feb 18 |

### Other

Other | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 |
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Country | United States |

City | Napa |

Period | 16/2/14 → 16/2/18 |

### Fingerprint

### ASJC Scopus subject areas

- Aerospace Engineering
- Space and Planetary Science

### Cite this

*Spaceflight Mechanics 2016*(Vol. 158, pp. 745-763). Univelt Inc..

**Medium-energy, retrograde, ballistic transfer to the moon.** / Oshima, Kenta; Topputo, Francesco; Campagnola, Stefano; Yanao, Tomohiro.

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

*Spaceflight Mechanics 2016.*vol. 158, Univelt Inc., pp. 745-763, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 16/2/14.

}

TY - GEN

T1 - Medium-energy, retrograde, ballistic transfer to the moon

AU - Oshima, Kenta

AU - Topputo, Francesco

AU - Campagnola, Stefano

AU - Yanao, Tomohiro

PY - 2016

Y1 - 2016

N2 - This study analyzes a recently discovered new class of exterior transfers to the Moon under the perspective of lunar collision orbit dynamics. These transfers typically end with a retrograde ballistic capture, i.e., with negative Keplerian energy and angular momentum with respect to the Moon. Yet their Jacobi constant is relatively low, at which no forbidden regions exist, and the transfers do not appear to mimic the dynamics of the invariant manifolds of the Lagrange points. This paper shows that these orbits shadow instead lunar collision orbits. We investigate the dynamics of singular, lunar collision orbits in the Earth-Moon planar circular restricted three-body problem, and reveal their rich phase space structure in the medium-energy regime, for which invariant manifolds of the Lagrange point orbits break up. We show that lunar retrograde ballistic capture trajectories lie inside the tube structure of collision orbits. We also develop a method to compute medium-energy transfers by patching together the orbits inside the collision tube and those whose apogees are located in the appropriate quadrant in the Sun-Earth system. The method is used to systematically reproduce the novel retrograde ballistic capture.

AB - This study analyzes a recently discovered new class of exterior transfers to the Moon under the perspective of lunar collision orbit dynamics. These transfers typically end with a retrograde ballistic capture, i.e., with negative Keplerian energy and angular momentum with respect to the Moon. Yet their Jacobi constant is relatively low, at which no forbidden regions exist, and the transfers do not appear to mimic the dynamics of the invariant manifolds of the Lagrange points. This paper shows that these orbits shadow instead lunar collision orbits. We investigate the dynamics of singular, lunar collision orbits in the Earth-Moon planar circular restricted three-body problem, and reveal their rich phase space structure in the medium-energy regime, for which invariant manifolds of the Lagrange point orbits break up. We show that lunar retrograde ballistic capture trajectories lie inside the tube structure of collision orbits. We also develop a method to compute medium-energy transfers by patching together the orbits inside the collision tube and those whose apogees are located in the appropriate quadrant in the Sun-Earth system. The method is used to systematically reproduce the novel retrograde ballistic capture.

UR - http://www.scopus.com/inward/record.url?scp=85007309621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85007309621&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85007309621

SN - 9780877036333

VL - 158

SP - 745

EP - 763

BT - Spaceflight Mechanics 2016

PB - Univelt Inc.

ER -