TY - GEN
T1 - A virtual-time method for modeling relative motion of noncircular satellites
AU - Sherrill, Ryan E.
AU - Sinclair, Andrew J.
AU - Lovell, T. Alan
AU - Linares, Richard
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - The Hill-Clohessy-Wiltshire equations describe the motion of a deputy satellite in close proximity to a circular chief. This paper presents an extension of the Hill-Clohessy-Wiltshire equations to elliptic chiefs by a virtual-time approach. The relative position at each instant is approximated by evaluating the Hill-Clohessy-Wiltshire solution at a virtual time. Therefore, the shape of the trajectory is approximated using an Hill-Clohessy-Wiltshire trajectory, but the progress along the trajectory is modified to account for the chief's eccentricity. Example solutions for the virtual time are calculated, and the errors of the Hill-Clohessy-Wiltshire and virtual-time solutions are compared.
AB - The Hill-Clohessy-Wiltshire equations describe the motion of a deputy satellite in close proximity to a circular chief. This paper presents an extension of the Hill-Clohessy-Wiltshire equations to elliptic chiefs by a virtual-time approach. The relative position at each instant is approximated by evaluating the Hill-Clohessy-Wiltshire solution at a virtual time. Therefore, the shape of the trajectory is approximated using an Hill-Clohessy-Wiltshire trajectory, but the progress along the trajectory is modified to account for the chief's eccentricity. Example solutions for the virtual time are calculated, and the errors of the Hill-Clohessy-Wiltshire and virtual-time solutions are compared.
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M3 - Conference contribution
AN - SCOPUS:80053431643
SN - 9780877035695
T3 - Advances in the Astronautical Sciences
SP - 1515
EP - 1524
BT - Spaceflight Mechanics 2011 - Advances in the Astronautical Sciences
T2 - 21st AAS/AIAA Space Flight Mechanics Meeting
Y2 - 13 February 2011 through 17 February 2011
ER -