多极矩对加晕势的黑洞弱场极限的影响
Effect of Multipole Moments in the Weak Field Limit of a Black Hole Plus Halo Potential
摘要：
在本文中，我们考虑一个牛顿系统，其相对论对应物描述了一个叠加晕与一个黑洞。我们的目标是确定四极矩和八极矩如何影响在黑洞附近运动的测试粒子的运动性质。测试粒子的不同类型的轨迹主要分为有界，碰撞，逃逸，通过使用现代彩色编码盆图。此外，进行了额外的分析，以区分不同类型的有界运动（规则，粘性和混沌）。我们的研究结果强烈表明，多极矩，随着总轨道能量，高度影响的最终状态的测试粒子，而在同一时间的相空间的盆地几何形状往往是高度占主导地位的碰撞和逃逸轨道。
英文摘要：
In this paper, we consider a Newtonian system whose relativistic counterpart describes a superimposed halo with a black hole. Our aim is to determine how the quadrupole and octupole moments affect the nature of the motion of a test particle, moving in the close vicinity of the black hole. The different types of trajectories for the test particle are mainly classified as bounded, collisional, and escaping, by using modern color-coded basin diagrams. Moreover, an additional analysis is carried out for distinguishing between the different types of bounded motion (regular, sticky, and chaotic). Our results strongly indicate that the multipole moments, along with the total orbital energy, highly affect the final state of the test particle, while at the same time the basin geometry of the phase space tends to be highly dominated by collision and escape orbits.
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