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.

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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 -