Stable and unstable orbits around Mercury

Zoltán Makó (1) , Ferenc Szenkovits (2) , Júlia Salamon (1) , Robert Oláh-Gál (1)

1 Department of Mathematics and Informatics
2 Department of Applied Mathematics

This paper provides a study of the stable and unstable regions around the smaller primary in the framework of the spatial elliptic restricted three-body problem. The definitions and methods used to determine stable and unstable regions are extended to three dimensions. New results concerning the stable and unstable regions around Mercury are obtained in the Sun-Mercury system.

Mots clés: Weak stability boundary; Weak capture; Spatial elliptic restricted three-body problem; 70F07; 70F15; 37N05

Zoltán Makó, Ferenc Szenkovits, Júlia Salamon, Robert Oláh-Gál. Stable and unstable orbits around Mercury. Celestial Mechanics and Dynamical Astronomy, 2010, 108 (4), pp.357-370. ⟨10.1007/s10569-010-9309-z⟩. ⟨hal-00586133⟩