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Celestial Mechanics and Dynamical Astronomy

, Volume 108, Issue 4, pp 357–370 | Cite as

Stable and unstable orbits around Mercury

  • Zoltán Makó
  • Ferenc Szenkovits
  • Júlia Salamon
  • Robert Oláh-Gál
Original Article

Abstract

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.

Keywords

Weak stability boundary Weak capture Spatial elliptic restricted three-body problem 

Mathematics Subject Classification (2000)

70F07 70F15 37N05 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Zoltán Makó
    • 1
  • Ferenc Szenkovits
    • 2
  • Júlia Salamon
    • 1
  • Robert Oláh-Gál
    • 1
  1. 1.Department of Mathematics and InformaticsSapientia UniversityMiercurea CiucRomania
  2. 2.Department of Applied MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

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