@inproceedings{23effcfbc3244ae2ae32d1cd6384a910,

title = "A semi-analytical approach to characterize the relative motion in the vicinity of phobos",

abstract = "This paper discusses a semi-analytical approach that can be used to approximate the relative motion of spacecraft around nominal periodic Distant Retrograde Orbits (DROs) in the vicinity of Mars{\textquoteright} largest moon, Phobos. Numerical analysis reveals that in the Circular Restricted Three-Body Problem (CR3BP) rotating reference frame, Mars-Phobos DROs can be represented analytically in a moderately accurate way by two terms of their Fourier series representations due to the fact that the mass of Phobos is much smaller than the mass of Mars. Additionally, assuming that the relative distance between spacecraft is sufficiently small, the equations of motions can be further simplified and semi-analytically solved to obtain an accurate representation of the relative motion in the vicinity of Phobos. It is found that the equations exhibit a secular behavior, which can be accurately described by the Hill-Clohessy-Wiltshire (HCW) equations, and a short-term cyclic behavior which is attributed to the gravitational attraction of Phobos that the HCW equations cannot represent.",

author = "Davide Conte and Spencer, {David B.}",

year = "2018",

month = jan,

day = "1",

language = "English (US)",

isbn = "9780877036579",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "829--845",

editor = "Puneet Singla and Weisman, {Ryan M.} and Marchand, {Belinda G.} and Jones, {Brandon A.}",

booktitle = "AAS/AIAA Astrodynamics Specialist Conference, 2018",

address = "United States",

note = "AAS/AIAA Astrodynamics Specialist Conference, 2018 ; Conference date: 19-08-2018 Through 23-08-2018",

}