共查询到20条相似文献，搜索用时 361 毫秒
1.
根据非局部和非定常恒星对流理论,计算了质量3～30 M_⊙恒星演化模型低球谐阶(l=1～4)p4～g39非径向模的线性非绝热脉动,研究了对流对非径向脉动的影响.结果表明,对流对恒星非径向脉动稳定性有不可忽略的影响.然而假若不关注单个恒星和单个振动模的细节,从总体上粗略地看,理论的脉动不稳定区的大致位置和范围并未受到对流的明显影响. 相似文献
2.
本采用改进后的平行Ｓｈｏｏｔｉｎｇ方法，即连续正交归一化方法，通过增加系统的秩和把微分方程从线性变成非线性的方法，使得病态方程变成非病态方程，克服了平行Ｓｈｏｏｔｉｎｇ方法（不连续正交归一化方法）的主要困难：一是选择径向网格点数目的问题，如果被检验振动模的径向节点数大或小，所需要的网格点数则多或少；二是在远离阈值的时候，尚未有合适的方法提高计算精度的问题。数值计算出了标准太阳模型的绝热非径向太阳 相似文献
3.
介绍了恒星非径向脉动的一般特性和可观测特征．着重评述早型恒星非径向脉动研究的最新进展以及非径向脉动模式证认的各种方法． 相似文献
4.
仙王座β型变星是一类上部主序的短周期内因变星，找到它们及其它早型变星的脉动激发机制是一个长期未能解决的问题．新发表的不透明度表格ＯＰＡＬ比早期的表格有显著的提高，这样不透明度机制似乎就能够解释仙王座β型变星的脉动．本文用线性径向非绝热脉动理论研究了仙王座β型星的脉动稳定性，检查了不透明度机制，用的不透明度是对ＯＰＡＬ表格的一种分析逼近，但计算的十阶以下脉动模式都是稳定的．由于未能证实别人得到的脉动不稳定性，所以我们怀疑不透明度机制可能还不足以激发仙王座β型星，因而给它们的激发机制下一个肯定的结论似乎还为时过早．我们认为对仙王座β型星的脉动起因，有必要进一步研究不透明度机制或别的脉动激发机制． 相似文献
5.
本文采用改进后的平行Shooting方法，即连续正交归一化方法，通过增加系统的秩和把微分方程从线性变成非线性的方法，使得病态方程变成非病态方程，克服了平行Shooting方法（不连续正交归一化方法）的主要困难：一是选择径向网格点数目的问题，如果被检验振动模的径向节点数大或小，所需要的网格点数则多或少；二是在远离阈值的时候，尚未有合适的方法提高计算精度的问题．数值计算出了标准太阳模型的绝热非径向太阳振动的理论本征频率谱．从数值计算的结果发现改进后的平行Shooting方法比线性化的Henyey方法和平行Shooting方法收敛性更好且精度更高．其误差可以达到1％的精度． 相似文献
6.
利用一种非定常的恒星非局部对流理论,对球状星团中低光度的红巨星进行了线性非绝热脉动理论计算．结果表明,对所有温度高于约5400 K模型的基音到4阶泛音都是脉动稳定的．随着恒星光度的增大,低阶泛音也变得脉动不稳定．对中低光度的红巨星,脉动稳定性非常低,接近中性稳定．因此他们将是不变星或非常小振幅的短周期变星(P<2天)． 相似文献
7.
《天文学报》2014,(4)
捅姜利用一种非局部和非定常的恒星对流理论,计算了3种不同氦丰度(Y=0.28,0.13,0.00)、太阳金属丰度(Z=0.02)、质量1.4~3.0 M_☉恒星演化模型的径向和低球谐阶F-p8模的线性非绝热脉动.数值计算结果表明,理论的δScuti变星脉动不稳定区红边界几乎不随氦丰度变化而改变.随着氦丰度降低,δScuti变星脉动不稳定区蓝边界向低温方向推移,脉动不稳定区中热方的高温星变得脉动更稳定;而冷方的低温星则变得脉动更不稳定.这似乎表明不大可能用氦弥散去解释δScuti脉动不稳定带中的不变星.然而脉动不稳定带热方和冷方中的不变星与变星的比例可能作为是否存在氦弥散的一种观测证据. 相似文献
8.
利用一种非局部和非定常的恒星对流理论,计算了太阳中低球谐阶(l＜25)模的非绝热脉动.结果表明,低阶(0＜l＜6)非径向p1模是脉动不稳定的,而与之相邻的g模、f模和p2-p5模都是脉动稳定的.根据累积功图的分析,发现振荡的激发来自对流区底部区域.太阳是否存在不稳定的低球谐阶p1模对判断太阳5 min振荡的激发机制有重要意义. 相似文献
9.
含粘滞的弱磁化吸积盘的非轴对称脉动不稳定性 总被引：1，自引：0，他引：1
本文讨论了一种含扩散型粘滞的弱磁化等温吸积盘模型．在作者原有工作的基础上研究了吸积盘对非轴对称扰动（含径向、环向和垂向三个方向的扰动）所表现的脉动不稳定性．结果表明，径向扰动是最重要、最根本的扰动：在无径向扰动时，吸积盘中不存在环向扰动与垂向扰动所产生的脉动不稳定性．在径向扰动存在时，吸积盘除了可能存在纯径向脉动不稳定性外，还可能存在由于径向扰动与垂向扰动的耦合所引起的轴对称脉动不稳定性，以及由于径向扰动与环向扰动的耦合所引起的非轴对称脉动不稳定性．当上述三个方向的扰动并存时，对应的非轴对称脉动不稳定性也可能存在． 相似文献
10.
利用一种非局部和非定常的恒星对流理论,计算了0.6～3.0 M☉恒星演化模型的线性非绝热脉动.结果表明,赫罗图上脉动不稳定带右方的脉动不稳定的低温恒星可以分成2大类(群).一类由主序矮星、亚巨星和中低光度红巨星组成的类太阳振荡恒星,它们的中高阶(径向阶nr≥12)p模是脉动不稳定的,而低阶(nr≤ 5)模是脉动稳定的;另一类是由亮的红巨星和渐近巨星支星(AGB)组成的类长周期变星,它们的低阶模(nr≤5)是脉动不稳定的,而高阶模(nr≥12)却是脉动稳定的.能利用对流与脉动的耦合统一解释造父变星脉动不稳定带红边界、类太阳和类长周期变星脉动.对赫罗图右方的低温恒星的中低阶p模振荡,对流与脉动的耦合是主要的脉动激发和阻尼机制,而湍流的随机激发机制仅对类太阳振荡高阶p模重要. 相似文献
11.
Yan Li 《Chinese Astronomy and Astrophysics》1989,13(4):424-431
A decoupling method is developed in this paper to deal with linear non-adiabatic non-radial pulsations of stars. The sixth order differential equation of linear pulsation is decomposed into a fourth order and a second order differential equations. The decoupling overcomes such difficulties encountered in the numerical solution as small domain and slowness of convergence and provides a natural guess solution needed in Henyey's method. 相似文献
12.
Haruo Yoshida 《Celestial Mechanics and Dynamical Astronomy》1984,32(1):73-86
It is shown that the characteristic exponents can be exactly expressed for a type of second order linear ordinary differential equations with periodic coefficients (Hill's equation) which appear as the variational equations of certain periodic solutions of dynamical systems. Key points are the transformation of the equation to the Gauss' hypergeometric differential equation, and evaluation of the trace of monodormy matrix in the complex plane of the independent variable. Two simple examples are given for which the stability of periodic solutions is rigorously analyzed. 相似文献
13.
根据大气水平运动方程推导出Ekman层风速随高度分布方程,该分布可用二阶线性微分方程表示,用有限差分法求解该二阶线性微分方程的边值问题的数值解,并给出计算程序,输出结果。将结果与经典解析解比较,讨论了经典解的正确性和适用范围。 相似文献
14.
Wagner Sessin 《Celestial Mechanics and Dynamical Astronomy》1986,39(2):173-180
In this paper a method for the integration of the equations of the extended Delaunay method is proposed. It is based on the equations of the characteristic curves associated with the partial differential equation of Delaunay-Poincaré. The use of the method of characteristics changes the partial differential equation for higher order approximations into a system of ordinary differential equations. The independent variable of the equations of the characteristics is used instead of the angular variables of the Jacobian methods and the averaging principle of Hori is applied to solve the equations for higher orders. It is well known that Jacobian methods applied to resonant problems generally lead to the singularity of Poincaré. In the ideal resonance problem, this singularity appears when higher order approximations of the librational motion are considered. The singularity of Poincaré is non-essential and is caused by the choice of the critical arguments as integration variables. The use of the independent variable of the equation of the characteristics in the place of the critical angles eliminates the singularity of Poincaré. 相似文献
15.
S. K. El-Labany 《Astrophysics and Space Science》1992,191(2):185-194
The propagation of an ion-acoustic soliton in a collisionless plasma with adiabatic positive and negative ions (with equal ion temperature) and hot non-isothermal electrons is studied by use of the renormalization method introduced by Kodama and Taniuti in the reductive perturbation method. The basic set of fluid equations describing the system is reduced to a Korteweg-de Vries (K-dV)-type equation for the first-order perturbed potential and to a linear inhomogeneous differential equation to the second-order of the perturbed potential. A stationary solution of the coupled equations is obtained. 相似文献
16.
José Ma. Martí Juan A. Miralles José Ma. Ibánez Luis Herrera 《Astrophysics and Space Science》1990,168(2):305-316
We have derived the equations which govern the linear nonadiabatic general-relativistic radial oscillations. The perturbation produces a heat flux that is coupled with the geometry, through the Einstein field equations of a stellar configuration. The classical limit is recovered. The stability conditions are examined by means of a simplified one-zone model. 相似文献
17.
The coupled set of equations of hydrodynamics and radiative transfer is derived for small disturbances in a plane, grey atmosphere. Only radiative transfer is taken into account in the energy equation; dynamical effects of radiation are ignored. A mean stationary radiative flux through the photosphere is taken into account. The radiative transfer equation is used by assuming the Eddington approximation, moreover, an exponential height profile of the temperature and an analytical opacity formula are supposed. For this model we obtained an asymptotic solution for plane nonadiabatic acoustic waves and radiation waves. The approach provides a detailed discussion of the interaction of nonadiabatic p‐modes and radiation waves in a realistic model of the photosphere of a solar‐like star. 相似文献
18.
The transfer equations for the Stokes parameters, as derived under the assumption of LTE and in the general case of anomalous Zeeman multiplet, are solved by a perturbative method that reduces the system of four coupled linear differential equations to an iterative series of well known linear differential equations. The perturbation parameter turns out to be of the order of magnitude of the ratio of the Larmor frequency to the line Doppler half-width, so that the method appears to be particularly suitable for small magnetic fields.Some qualitative results on the importance of Faraday rotation and the orders of magnitude of the line profiles of the Stokes parameters are obtained. 相似文献
19.
This paper considers the structural properties of a sunspot-like magnetic flux tube which lacks perfect axisymmetry. The flux tube is taken to be in static equilibrium with an atmosphere in a uniform gravity. Assuming the departure from axisymmetry to be slight, the equations for the first order non-axisymmetric part of the equilibrium are derived in cylindrical coordinates. These first order equations reduce to a linear second order hyperbolic partial differential equation in the r-z plane. Whereas Cauchy type boundary conditions are appropriate for hyperbolic equations, physical considerations dictate the specification of boundary conditions on a closed surve for our problem of interest. The construction of solutions to this boundary value problem is illustrated with three analytically soluble cases, where the zero-order axisymmetric equilibria are chosen to have magnetic field geometry of different complexity. A physical discussion of the results is given. 相似文献
20.
Uday Narayan Ghosh Pankaj Kumar Mandal Prasanta Chatterjee 《Astrophysics and Space Science》2014,349(2):765-771
Cylindrical Zakharov–Kuznestov equation for ion-acoustic waves comprising of ions and electrons featuring non-extensive distribution are derived from the fluid equations through reductive perturbation technique. System of first order ordinary differential equations is obtained from Zakharov–Kuznestov equation through dynamical system approach and ultimately it is solved using numerical method. It is found that the electron to positron ratio parameter and the non-extensive distributed parameter due to electron play crucial role on the solution. 相似文献