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We explore orbit properties of 35 prolate-triaxial galaxies selected from theIllustris cosmological hydrodynamic simulation. We present a detailed study oftheir orbit families, and also analyse relations between the relative abundanceof the orbit families and the spin parameter, triaxiality, the ratio of theangular momentum and the baryon fraction. We find that box orbits dominate theorbit structure for most prolate-triaxial galaxies, especially in the centralregion. The fraction of irregular orbits in the prolate-triaxial galaxies issmall, and it increases with galaxy radius. Both the x-tube and z-tube orbitsare important in prolate-triaxial galaxies, especially in the outer regions.The fraction of box orbits for prolate-triaxial galaxies ($0.7<T<1$) decreaseswith the triaxiality of the stars, while the fraction of x-tube orbitsincreases with the triaxiality for a given axis ratio. The fraction of boxorbits increases and the fractions of x-tube and z-tube orbits weakly decreasewith increasing baryon fraction. These results help to understand the structureof prolate-triaxial galaxies and provide cross-checks for constructingdynamical models of prolate-triaxial galaxies by using the Schwarzschild or theMade-to-Measure methods.

Orbit properties of massive prolate galaxies in the Illustris simulation