### Abstract

In this paper, third-order and fourth-order, time-dependent solutions of the relative two-body problem are used in conjunction with the general equations of relative motion to analyze the relative motion of a chase vehicle with respect to a target vehicle at various orbital altitudes. The outcomes of this analysis are then compared to the outcomes that are derived from the Hill-Clohessy-Wiltshire equations. The results demonstrate that the third-and forth-order formulations provide a robust and comparable method of analyzing relative motion between two vehicles that is not hindered by the assumptions of linear orbit theory.

Original language | English (US) |
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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 | 3421-3431 |

Number of pages | 11 |

ISBN (Print) | 9780877036593 |

State | 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. 3421-3431). [AAS 19-290] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..

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*Spaceflight Mechanics 2019.*, AAS 19-290, Advances in the Astronautical Sciences, vol. 168, Univelt Inc., pp. 3421-3431, 29th AAS/AIAA Space Flight Mechanics Meeting, 2019, Maui, United States, 1/13/19.

**Relative motion analysis using third-and fourth-order solutions of the relative two-body problem.** / Benavides, Julio César; Spencer, David B.

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

TY - GEN

T1 - Relative motion analysis using third-and fourth-order solutions of the relative two-body problem

AU - Benavides, Julio César

AU - Spencer, David B.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, third-order and fourth-order, time-dependent solutions of the relative two-body problem are used in conjunction with the general equations of relative motion to analyze the relative motion of a chase vehicle with respect to a target vehicle at various orbital altitudes. The outcomes of this analysis are then compared to the outcomes that are derived from the Hill-Clohessy-Wiltshire equations. The results demonstrate that the third-and forth-order formulations provide a robust and comparable method of analyzing relative motion between two vehicles that is not hindered by the assumptions of linear orbit theory.

AB - In this paper, third-order and fourth-order, time-dependent solutions of the relative two-body problem are used in conjunction with the general equations of relative motion to analyze the relative motion of a chase vehicle with respect to a target vehicle at various orbital altitudes. The outcomes of this analysis are then compared to the outcomes that are derived from the Hill-Clohessy-Wiltshire equations. The results demonstrate that the third-and forth-order formulations provide a robust and comparable method of analyzing relative motion between two vehicles that is not hindered by the assumptions of linear orbit theory.

UR - http://www.scopus.com/inward/record.url?scp=85072985136&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072985136&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85072985136

SN - 9780877036593

T3 - Advances in the Astronautical Sciences

SP - 3421

EP - 3431

BT - Spaceflight Mechanics 2019

A2 - Topputo, Francesco

A2 - Sinclair, Andrew J.

A2 - Wilkins, Matthew P.

A2 - Zanetti, Renato

PB - Univelt Inc.

ER -