Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc

Details Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...260..161h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 260, no. 1-2, p. 161-174.

Astronomy and Astrophysics

Astrophysics

58

Accretion Disks, Hydrodynamic Equations, Perturbation Theory, Stellar Gravitation, Stellar Mass, Center Of Mass, Nonlinear Equations, Pressure Oscillations

Scientific paper

We consider the stability to modes with m = 1 symmetry in a differentially rotating self-gravitating gaseous disk around a central object (star). Modes with m = 1 symmetry cause the central star to shift away from the system's center of mass (COM). A linear stability analysis of m = 1 disturbances, which takes into account the shifted star, indicate that the star/disk system is dynamically unstable up to a certain value of the central mass. Nonlinear numerical calculations confirm this result and show that the instability disappears when the stellar and disk mass (MD) become comparable. For the models we consider, the pattern speeds of the induced m = 1 modes are such that the entire disk is evanescent, precluding the importance of wave modes. For a vanishing stellar mass the numerical solution approaches that expected from the well known instability of a test mass perturbed slightly from its central equilibrium position at the potential maximum, whereby it immediately plummets to the inner edge of the disk.

Affiliated with

Also associated with

No associations

Rating

Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear development of M = 1 instabilities in a self-gravitating gaseous disc will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1203084