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Axisymmetric Waves in Isothermal Accretion Discs with Vertical Self-Gravity |
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| Authors: | LIU Xiao-Ci YANG Lan-Tian WU Shao-Ping DING Shi-Xue |
| Institution: | Department of Physics, Hainan Normal College, Haikou 571158, Hainan Province, Chinat;Department of Physics and Institute of Astrophysics, Huazhong Normal University, Wuhan 430079, China Department of Physics and Institute of Astrophysics, Huazhong Normal University, Wuhan 430079, China Department of Physics and Institute of Astrophysics, Huazhong Normal University, Wuhan 430079, China Department of Physics and Institute of Astrophysics, Huazhong Normal University, Wuhan 430079, China;Department of Physics, Xiangfan Normal College, Xiangfan 441053, Hubei Province, China |
| Abstract: | We extend the research of axisymmetric waves in accretion discs with three-dimensional structure to the case that vertical self-gravity of the discs is included. We derive and analyze the dispersion relation and solve the eigenfunctions numerically. The following results have been reached: vertical self-gravity expands the forbidden region of the wave propagation. As the influence of the vertical self-gravity increases, the group velocities of the waves get smaller and the vertical nodes of the wave shrink to the middle plane of the disc. |
| Keywords: | accretion accretion discs hydrodynamics waves |
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