恒星对增长螺旋引力扰动的非线性响应及其对增长模式的致稳作用*
Nonlinear Stellar Response to the Growing Spiral Gravitational Disturbance and Its Stabilizing Effect on the Growing Mode
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摘要: 本文计算了在增长的螺旋扰动引力场中恒星响应的非线性效应.结果表明,这一非线性效应会导致Q值的增加,从而降低增长率.对于振幅很小,增长率也较小的螺旋形模式,Q值增加较慢;对于振幅较大或增民率较大的模式,Q值也增加较快,从而有效地抑正振幅的增长.这一调节机制是使得由线性理论所得出的增长模式最终达到准稳状态的原因之一。Abstract: The nonlinear stellar response to the growing spiral gravitational disturbance is calculated. The result shows that this nonlinear response leads to the increase of Q, and the decrease of the growth rate. This self-regulation mechanism is an important reason for the growing spiral mode to reach a quasi-stationary state eventually.
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Key words:
- galactic density wave /
- spiral structure /
- nonlinear stellar response
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[1] Lin,C.C.and Y.Y.Lau,Density wave theory of spiral structure of galaxies,Studies in Appl.Math.,60(1979),97. [2] Bertin,G.,C.C.Lin and S.A.Lowe,On the morphology of spiral modes,Proceedings of a Course and Workshop on Plasma Astrophysics,Varenna,Italy,28 Aug.7 Sep.,(1984),115-120. [3] Lin,C.C.and R.P.Thurstans,On a spectral theory of the excitation mechanism of galactic spirals,ibid,121-130. [4] Lin,C.C.and G.Bertin,The Milky Way Galaxy,ed.H.van Woerden,et al.(1985),513-532. [5] Thurstans,R.P.On spiral modes in galaxy models,Ph.D.Thesis,MIT,USA(1987). [6] Lowe,S.A.,On the viability of the model theory for spiral sturcture in galaxies,Ph.D.Thesis.MIT,USA(1988). -
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