XU XingBo; FU YanNing
Source Publicationscienceinchinaseriesgphysicsmechanicsastronomy
AbstractWe show that there exists a new class of symmetric periodic solutions of the spatial elliptic restricted three-body problem. In such a solution, the infinitesimal body is confined to the vicinity of a primary and moves on a nearly circular orbit. This orbit is almost perpendicular to the orbital plane of the primaries, where the line of symmetry of the orbit lies. The existence is shown by applying a corollary of Arenstorf's fixed point theorem to a periodicity equation system of the problem. And this existence doesn't require any restriction on the mass ratio of the primaries, nor on the eccentricity of their relative elliptic orbit. Potential relevance of this new class of periodic solutions to real celestial body systems and the follow-up studies in this respect are also discussed.
Document Type期刊论文
First Author Affilication中国科学院紫金山天文台
Recommended Citation
GB/T 7714
XU XingBo,FU YanNing. anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem[J]. scienceinchinaseriesgphysicsmechanicsastronomy,2009,52(9):1404.
APA XU XingBo,&FU YanNing.(2009).anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem.scienceinchinaseriesgphysicsmechanicsastronomy,52(9),1404.
MLA XU XingBo,et al."anewclassofsymmetricperiodicsolutionsofthespatialellipticrestrictedthreebodyproblem".scienceinchinaseriesgphysicsmechanicsastronomy 52.9(2009):1404.
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