Abstract
In the Galilean satellites motion, the Laplace argument λ13λ2+2λ3 librates around the value π. The amplitude of libration is very small so that the classical theories have not been set up to take into account large librations. On the other hand large librations have to be considered when we describe possible scenarii of capture into resonance by tidal effects. The aim of this paper is to present a new way of applying Hamiltonian perturbation methods to the problem of the Galilean satellites in such a way that the theory is valid for large librations. Preliminary results from such a theory are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Brown, B.: 1977, ‘The Long Period Behaviour of the Orbits of the Galilean Satellites of Jupiter’,Celest. Mech. 16, 229–259.
Ferraz-Mello, S.: 1979, ‘Dynamics of the Galilean Satellites’, Univ. Sao Paulo, IAG.
Hadjidemetriou, J.D., and Michalodimitrakis, M.: 1981, ‘Periodic Planetary-Type Orbits of the General 4-Body Problem with an Application to the Satellites of Jupiter’,Astron. Astrophys. 93, 204–211.
Henrard, J.: 1983, ‘Orbital Evolution of the Galilean Satellites: Capture into Resonance’,Icarus 53, 55–67.
Henrard, J., and Lemaître, A.: 1983, ‘A Second Fundamental Model for Resonance’,Celest. Mech. 30, 197–218.
Null, G.W.: 1976,Astron. J. 81, 1153.
Lieske, J.H.: 1980, ‘Improved Ephemerides of the Galilean Satellites’,Astron. Astrophys. 82, 340–348.
Yoder, C.F.: 1979, ‘How Tidal Heating in Io drives the Galilean Orbital Resonance Locks’,Nature 279, 767–770.
Yoder, C.F., and Peale, S.J.: 1981, ‘The Tides of Io’,Icarus 47, 1–35.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Henrard, J. Libration of Laplace's argument in the Galilean satellites theory. Celestial Mechanics 34, 255–262 (1984). https://doi.org/10.1007/BF01235807
Issue Date:
DOI: https://doi.org/10.1007/BF01235807