@inproceedings{4e985b966f574d6bbd660b0bc390d2d2,

title = "A virtual-time method for modeling relative motion of noncircular satellites",

abstract = "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.",

author = "Sherrill, {Ryan E.} and Sinclair, {Andrew J.} and Lovell, {T. Alan} and Richard Linares",

year = "2011",

month = oct,

day = "6",

language = "English (US)",

isbn = "9780877035695",

series = "Advances in the Astronautical Sciences",

pages = "1515--1524",

booktitle = "Spaceflight Mechanics 2011 - Advances in the Astronautical Sciences",

note = "21st AAS/AIAA Space Flight Mechanics Meeting ; Conference date: 13-02-2011 Through 17-02-2011",

}