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

Julio César Benavides, David B. Spencer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2019
EditorsFrancesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti
PublisherUnivelt Inc.
Pages3421-3431
Number of pages11
ISBN (Print)9780877036593
StatePublished - Jan 1 2019
Event29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States
Duration: Jan 13 2019Jan 17 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume168
ISSN (Print)0065-3438

Conference

Conference29th AAS/AIAA Space Flight Mechanics Meeting, 2019
CountryUnited States
CityMaui
Period1/13/191/17/19

Fingerprint

two body problem
vehicles
Orbits
orbits
formulations
orbitals
Motion analysis
vehicle
analysis

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Benavides, J. C., & Spencer, D. B. (2019). Relative motion analysis using third-and fourth-order solutions of the relative two-body problem. In F. Topputo, A. J. Sinclair, M. P. Wilkins, & R. Zanetti (Eds.), Spaceflight Mechanics 2019 (pp. 3421-3431). [AAS 19-290] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..
Benavides, Julio César ; Spencer, David B. / Relative motion analysis using third-and fourth-order solutions of the relative two-body problem. Spaceflight Mechanics 2019. editor / Francesco Topputo ; Andrew J. Sinclair ; Matthew P. Wilkins ; Renato Zanetti. Univelt Inc., 2019. pp. 3421-3431 (Advances in the Astronautical Sciences).
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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.",
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Benavides, JC & Spencer, DB 2019, Relative motion analysis using third-and fourth-order solutions of the relative two-body problem. in F Topputo, AJ Sinclair, MP Wilkins & R Zanetti (eds), 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.

Spaceflight Mechanics 2019. ed. / Francesco Topputo; Andrew J. Sinclair; Matthew P. Wilkins; Renato Zanetti. Univelt Inc., 2019. p. 3421-3431 AAS 19-290 (Advances in the Astronautical Sciences; Vol. 168).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Benavides JC, Spencer DB. Relative motion analysis using third-and fourth-order solutions of the relative two-body problem. In Topputo F, Sinclair AJ, Wilkins MP, Zanetti R, editors, Spaceflight Mechanics 2019. Univelt Inc. 2019. p. 3421-3431. AAS 19-290. (Advances in the Astronautical Sciences).