TY - GEN
T1 - The two-dimensional equatons of perturbed relative motion
AU - Benavides, Julio César
AU - Spencer, David B.
PY - 2009/12/1
Y1 - 2009/12/1
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.
UR - http://www.scopus.com/inward/record.url?scp=80053417394&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053417394&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:80053417394
SN - 9780877035541
T3 - Advances in the Astronautical Sciences
SP - 1333
EP - 1355
BT - Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences
T2 - 19th AAS/AIAA Space Flight Mechanics Meeting
Y2 - 8 February 2009 through 12 February 2009
ER -