Abstract
This paper presents the results of an investigation into the secular behavior of the orbits of the Galilean satellites of Jupiter. Kamel's perturbation method is used to remove all the explicitly periodic variables from the differential equations that describe the long period behavior of the orbits to third order in the masses, and the resulting differential equations for the secular behavior are then solved. Several numerical examples are given to illustrate the sensitivity of the solution to variations in the masses of the satellites.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aksnes, K. and Franklin, F. A.: 1976,Astron. J. 81, 464.
Broucke, R. and Garthwaite, K.: 1969,Celest. Mech. 1, 271.
Brown, B.: 1977,Celest. Mech. 16, 229.
de Sitter, W.: 1928,Leiden Annals 16, part 2.
de Sitter, W.: 1931,Monthly Notices Roy Astron. Soc. 91, 706
Duncombe, R. L., Seidelmann, P. K., and Klepczynski, W. J.: 1973,Ann. Rev. Astron. Astrophys. 11, 135.
Kamel, A. A.: 1970,Celest. Mech. 3, 90.
Lieske, J. H.: 1975,Celest. Mech. 12, 5.
Lieske, J. H.: 1979, personal communication.
Null, G. W.: 1976,Astron. J. 81, 1153.
Sampson, R. A.: 1921,Mem. Roy. Astron. Soc. 63, 1.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brown, B.C. Secular effects in the orbits of the Galilean satellites. Celestial Mechanics 23, 203–221 (1981). https://doi.org/10.1007/BF01230726
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01230726