论文标题
轴对称，固定的无碰撞气体云被困在牛顿电势中
Axisymmetric, stationary collisionless gas clouds trapped in a Newtonian potential
论文作者
论文摘要
讨论了轴对称，固定气体云的特性，周围是一个巨大的中心物体。假定重力场由中心对象主导，该物体是由非偏移主义旋转对称电位建模的。此外，我们假设该气体由无碰撞，相同的巨大颗粒组成，这些颗粒遵循该电位的结合轨道。考虑了几种粒子分布函数的模型，并描述了相关的宏观观测值的必需公式，例如粒子和能量密度，压张量和动力学温度。讨论了无穷大的溶液的渐近衰变，我们指定具有有限的总质量，能量和（零或非零）角动量的构型。最后，将我们的配置与它们的流体动力类似物进行了比较。在随附的论文中，讨论了同等的一般相对论问题，其中中心对象由Schwarzschild黑洞组成。
The properties of an axisymmetric, stationary gas cloud surrounding a massive central object are discussed. It is assumed that the gravitational field is dominated by the central object which is modeled by a nonrelativistic rotationally-symmetric potential. Further, we assume that the gas consists of collisionless, identical massive particles that follow bound orbits in this potential. Several models for the one-particle distribution function are considered and the essential formulae that describe the relevant macroscopical observables, such as the particle and energy densities, pressure tensor, and the kinetic temperature are derived. The asymptotic decay of the solutions at infinity is discussed and we specify configurations with finite total mass, energy and (zero or non-zero) angular momentum. Finally, our configurations are compared to their hydrodynamic analogs. In an accompanying paper, the equivalent general relativistic problem is discussed, where the central object consists of a Schwarzschild black hole.
