Motion around small asteroids is strongly affected by perturbation forces such as solar radiation pressure due to weak gravity. In past studies, terminator orbits and multi-revolution terminator orbits have been proposed. These orbits can be periodic even in the strongly perturbed environments around asteroids. However, these orbits usually have a complex orbital shape and a limited orbital geometry. To avoid these disadvantages, quasi-periodic orbits which use an impulsive delta-V each period, are proposed in this study. It is proven that the solution space to satisfy periodicity is expanded significantly, just by adding one delta-V each period. This paper shows the basic design methodology and application of quasi-periodic orbits. Also, the dynamic characteristics, especially the stability of quasi-periodic orbits are investigated.
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