The two-dimensional equatons of perturbed relative motion

Julio César Benavides, David B. Spencer

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2009 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the 19th AAS/AIAA Space Flight Mechanics Meeting
Pages1333-1355
Number of pages23
StatePublished - Dec 1 2009
Event19th AAS/AIAA Space Flight Mechanics Meeting - Savannah, GA, United States
Duration: Feb 8 2009Feb 12 2009

Publication series

NameAdvances in the Astronautical Sciences
Volume134
ISSN (Print)0065-3438

Other

Other19th AAS/AIAA Space Flight Mechanics Meeting
Country/TerritoryUnited States
CitySavannah, GA
Period2/8/092/12/09

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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