We demonstrate the existence of long-lived, large-amplitude eccentric modes in massive, annular particle disks in orbit about a central mass. The lopsided modes we have found precess slowly in the prograde direction at a rate that increases with disk mass and decreases with the amplitude of the distortion. The lopsidedness generally survives for as long as we run the calculations and may last indefinitely; we found no significant decay in over 700 disk-particle orbits in one case. These strongly nonlinear modes are readily created using a number of different perturbing rules, but we find no evidence for linear instabilities in unperturbed disks. Our results suggest that Tremaine's eccentric disk model for the nucleus of M31 may be viable, but none of our models matches all aspects of the observational data.

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A close substellar companion has been claimed to orbit the bright sdB star HD 149382 with a period of 2.391 d. In order to check this important discovery we gathered 26 high resolution spectra over 55 days with the HERMES spectrograph on the 1.2m Mercator telescope on La Palma, and analyzed the resulting radial velocities. Our data show no sign of any significant radial-velocity periodicities, and from the high precision of our measurements we rule out any RV variations with amplitudes higher than 0.79 km/s on periods shorter than 50 days.