A&A 527, A118 (2011) Astronomy DOI: 10.1051/0004-6361/201015304 & c ESO 2011 Astrophysics Librational response of Europa, Ganymede, and Callisto with an ocean for a non-Keplerian orbit N. Rambaux1,2, T. Van Hoolst3, and Ö. Karatekin3 1 Université Pierre et Marie Curie, Paris VI, IMCCE, Observatoire de Paris, 77 avenue Denfert-Rochereau, 75014 Paris, France 2 IMCCE, Observatoire de Paris, CNRS UMR 8028, 77 avenue Denfert-Rochereau, 75014 Paris, France e-mail:
[email protected] 3 Royal Observatory of Belgium, 3 avenue Circulaire, 1180 Brussels, Belgium e-mail: [tim.vanhoolst;ozgur.karatekin]@oma.be Received 30 June 2010 / Accepted 8 September 2010 ABSTRACT Context. The Galilean satellites Europa, Ganymede, and Callisto are thought to harbor a subsurface ocean beneath an ice shell but its properties, such as the depth beneath the surface, have not been well constrained. Future geodetic observations with, for example, space missions like the Europa Jupiter System Mission (EJSM) of NASA and ESA may refine our knowledge about the shell and ocean. Aims. Measurement of librational motion is a useful tool for detecting an ocean and characterizing the interior parameters of the moons. The objective of this paper is to investigate the librational response of Galilean satellites, Europa, Ganymede, and Callisto assumed to have a subsurface ocean by taking the perturbations of the Keplerian orbit into account. Perturbations from a purely Keplerian orbit are caused by gravitational attraction of the other Galilean satellites, the Sun, and the oblateness of Jupiter. Methods. We use the librational equations developed for a satellite with a subsurface ocean in synchronous spin-orbit resonance.