“…As for the present study, the Jeans-unstable spiral density waves also cause the ring A's quadrupole azimuthal brightness asymmetry detected first by Camichel (1958) and then by Lumme & Irvine (1976), Lumme et al (1977), Thompson et al (1981), Franklin et al (1987), Dones et al (1993), Dunn et al (2004), and others (see , for a discussion). The physics underlying these selfgravity waves is essentially the same as the "density wave structure" which was studied in the context of galactic disks by Lin & Shu (1966), Lin et al (1969), Shu (1970), Lau & Bertin (1978), Lin & Lau (1979), Bertin (1980), Morozov (1980), Montenegro et al (1999), Griv et al (2002), and others.…”