NDLI: De Sitter’s theory of Galilean satellites

Content Provider	Springer Nature Link
Author	Broer, Henk Zhao, Lei
Copyright Year	2016
Abstract	In this article, we investigate the mathematical part of De Sitter’s theory on the Galilean satellites, and further extend this theory by showing the existence of some quasi-periodic librating orbits by application of KAM theorems. After showing the existence of De Sitter’s family of linearly stable periodic orbits in the Jupiter–Io–Europa–Ganymede model by averaging and reduction techniques in the Hamiltonian framework, we further discuss the possible extension of this theory to include a fourth satellite Callisto, and establish the existence of a set of positive measure of quasi-periodic librating orbits in both models for almost all choices of masses among which one sufficiently dominates the others.
Starting Page	95
Ending Page	119
Page Count	25
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	127
Issue Number	1
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-08-10
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Galilean satellites Secular systems KAM theory Normal forms Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory Aerospace Technology and Astronautics Geophysics/Geodesy Classical Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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