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Aims. The structural inhomogeneities and kinematics of massive star nebulaeare tracers of their mass-loss history. We conduct a three-dimensionalmorpho-kinematic analysis of the ejecta of eta Car outside its famousHomunculus nebula. Methods. We carried out the first large-scale integral fieldunit observations of eta Car in the optical, covering a field of view of 1'x1'centered on the star. Observations with the Multi Unit Spectroscopic Explorer(MUSE) at the Very Large Telescope (VLT) reveal the detailed three-dimensionalstructure of eta Car's outer ejecta. Morpho-kinematic modeling of these ejectais conducted with the code SHAPE. Results. The largest coherent structure ineta Car's outer ejecta can be described as a bent cylinder with roughly thesame symmetry axis as the Homunculus nebula. This large outer shell isinteracting with the surrounding medium, creating soft X-ray emission. Weestablish the shape and extent of the ghost shell in front of the southernHomunculus lobe and confirm that the NN condensation can best be modeled as abowshock in the orbital/equatorial plane. Conclusions. The SHAPE modeling ofthe MUSE observations indicates that the kinematics of the outer ejectameasured with MUSE can be described by a spatially coherent structure, and thisstructure also correlates with the extended soft X-ray emission associated withthe outer debris field. The ghost shell just outside the southern Homunculuslobe hints at a sequence of eruptions within the time frame of the GreatEruption from 1837-1858 or possibly a later shock/reverse shock velocityseparation. Our 3D morpho-kinematic modeling and the MUSE observationsconstitute an invaluable dataset to be confronted with futureradiation-hydrodynamics simulations. Such a comparison may shed light on theyet elusive physical mechanism responsible for eta Car-like eruptions.

Dissecting a SN impostor's circumstellar medium: MUSEing about the SHAPE of eta Car's outer ejecta