@inproceedings{d7fb2474c3a248209ae717ec663b35b1,

title = "Relative motion analysis using third-and fourth-order solutions of the relative two-body problem",

abstract = "In this paper, third-order and fourth-order, time-dependent solutions of the relative two-body problem are used in conjunction with the general equations of relative motion to analyze the relative motion of a chase vehicle with respect to a target vehicle at various orbital altitudes. The outcomes of this analysis are then compared to the outcomes that are derived from the Hill-Clohessy-Wiltshire equations. The results demonstrate that the third-and forth-order formulations provide a robust and comparable method of analyzing relative motion between two vehicles that is not hindered by the assumptions of linear orbit theory.",

author = "Benavides, {Julio C{\'e}sar} and Spencer, {David B.}",

year = "2019",

month = jan,

day = "1",

language = "English (US)",

isbn = "9780877036593",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "3421--3431",

editor = "Francesco Topputo and Sinclair, {Andrew J.} and Wilkins, {Matthew P.} and Renato Zanetti",

booktitle = "Spaceflight Mechanics 2019",

address = "United States",

note = "29th AAS/AIAA Space Flight Mechanics Meeting, 2019 ; Conference date: 13-01-2019 Through 17-01-2019",

}