Abstract In the three-body problem, we consider the Hill stability of motions. We prove a theorem on Hill stability, which is an essential strengthening of Theorem 2 from Sosnitskii (2014a). Our theorem can be applied in the case where the model of restricted three-body problem is usually considered. To analyze the stability, we use only the energy integral.
On the Hill stable motions in the three-body problem
Advances in Space Research ; 56 , 5 ; 859-864
2015-05-14
6 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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