The morphology of the epsilon Eridani dust ring is reproduced by a numerical
simulation of dust particles captured into the 5:3 and 3:2 exterior mean-motion
resonances with a 0.3 eccentricity 10^-4 solar mass planet at periastron at a
semi-major axis of 40 AU. The morphology will differ when the planet is at
aphelion, in about 140 years. Moderate eccentricity planets in outer
extra-solar systems will cause observable variations in the morphology of
associated dusty rings.Comment: accepted to ApJ
