Abstract In this study, spacecraft orbital motion in the Hill three-body problem is considered. When the secondary body moves in a circular orbit whose center is the primary body, a distant retrograde orbit (DRO) exists on the plane of revolution of the secondary body. In this study, a three-dimensional DRO including an out-of-plane motion is investigated. First, the motion in each direction is assumed as a simple trigonometric motion, and relations between the ratios of the amplitudes and the ratios of the angular velocities are derived. Then, a stability criterion of the three-dimensional DRO is obtained from the maximum eigenvalues of the monodromy matrix. A comparative study is executed between the present analytical results and the numerical simulations, and it validates the analytical results.
Highlights Spacecraft orbital motion in the Hill three-bodyproblemis considered. A three-dimensional DRO including an out-of-plane motion is investigated. Relations between amplitudes and frequencies are derived by the Fourier series. A stability criterion of the three-dimensional DRO is approximately obtained. Analytical results are validated by numerical simulations.
Analysis of a distant retrograde orbit in the Hill three-body problem
Acta Astronautica ; 170 ; 365-374
2019-12-20
10 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Mission Considerations for Transfers to a Distant Retrograde Orbit
Springer Verlag | 2015
|Mission Considerations for Transfers to a Distant Retrograde Orbit
Online Contents | 2015
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