The two-dimensional equatons of perturbed relative motion

Julio César Benavides; David B. Spencer

The two-dimensional equatons of perturbed relative motion

Julio César Benavides, David B. Spencer

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

Abstract

The very restricted four-body problem is used to derive linearized equations of relative motion that take into account the perturbing effects of a secondary gravitaional source. The result is a system of linear differential equations that has an analytical solution. The results of this solution are compared to the outcomes of the very restricted four-body problem and the well known Hill-Clohessy-Wiltshire equations for various cases in the Sun-Ceres system. The results demonstrate that the Benavides-Spencer for mulation's accuracy exceeds that of the Hill-Clohessy- Wiltshire equations when compared to the real-life outcomes returned by the numerical integration of the very restricted four-body problem.

Original language	English (US)
Title of host publication	Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences
Subtitle of host publication	Proceedings of the 19th AAS/AIAA Space Flight Mechanics Meeting
Pages	1333-1355
Number of pages	23
State	Published - 2009
Event	19th AAS/AIAA Space Flight Mechanics Meeting - Savannah, GA, United States Duration: Feb 8 2009 → Feb 12 2009

Publication series

Name	Advances in the Astronautical Sciences
Volume	134
ISSN (Print)	0065-3438

Other

Other	19th AAS/AIAA Space Flight Mechanics Meeting
Country/Territory	United States
City	Savannah, GA
Period	2/8/09 → 2/12/09

All Science Journal Classification (ASJC) codes

Aerospace Engineering
Space and Planetary Science

Cite this

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title = "The two-dimensional equatons of perturbed relative motion",

abstract = "The very restricted four-body problem is used to derive linearized equations of relative motion that take into account the perturbing effects of a secondary gravitaional source. The result is a system of linear differential equations that has an analytical solution. The results of this solution are compared to the outcomes of the very restricted four-body problem and the well known Hill-Clohessy-Wiltshire equations for various cases in the Sun-Ceres system. The results demonstrate that the Benavides-Spencer for mulation's accuracy exceeds that of the Hill-Clohessy- Wiltshire equations when compared to the real-life outcomes returned by the numerical integration of the very restricted four-body problem.",

author = "Benavides, {Julio C{\'e}sar} and Spencer, {David B.}",

year = "2009",

language = "English (US)",

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series = "Advances in the Astronautical Sciences",

pages = "1333--1355",

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note = "19th AAS/AIAA Space Flight Mechanics Meeting ; Conference date: 08-02-2009 Through 12-02-2009",

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Benavides, JC & Spencer, DB 2009, The two-dimensional equatons of perturbed relative motion. in Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences: Proceedings of the 19th AAS/AIAA Space Flight Mechanics Meeting. Advances in the Astronautical Sciences, vol. 134, pp. 1333-1355, 19th AAS/AIAA Space Flight Mechanics Meeting, Savannah, GA, United States, 2/8/09.

The two-dimensional equatons of perturbed relative motion. / Benavides, Julio César; Spencer, David B.
Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences: Proceedings of the 19th AAS/AIAA Space Flight Mechanics Meeting. 2009. p. 1333-1355 (Advances in the Astronautical Sciences; Vol. 134).

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

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N2 - The very restricted four-body problem is used to derive linearized equations of relative motion that take into account the perturbing effects of a secondary gravitaional source. The result is a system of linear differential equations that has an analytical solution. The results of this solution are compared to the outcomes of the very restricted four-body problem and the well known Hill-Clohessy-Wiltshire equations for various cases in the Sun-Ceres system. The results demonstrate that the Benavides-Spencer for mulation's accuracy exceeds that of the Hill-Clohessy- Wiltshire equations when compared to the real-life outcomes returned by the numerical integration of the very restricted four-body problem.

AB - The very restricted four-body problem is used to derive linearized equations of relative motion that take into account the perturbing effects of a secondary gravitaional source. The result is a system of linear differential equations that has an analytical solution. The results of this solution are compared to the outcomes of the very restricted four-body problem and the well known Hill-Clohessy-Wiltshire equations for various cases in the Sun-Ceres system. The results demonstrate that the Benavides-Spencer for mulation's accuracy exceeds that of the Hill-Clohessy- Wiltshire equations when compared to the real-life outcomes returned by the numerical integration of the very restricted four-body problem.

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Y2 - 8 February 2009 through 12 February 2009

ER -

The two-dimensional equatons of perturbed relative motion

Abstract

Publication series

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All Science Journal Classification (ASJC) codes

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