Effective two-body scatterings around a massive object
Effective two-body scatterings around a massive object
复制标题
大型物体周围的有效二体散射
DOI：
10.1093/mnras/stad1442
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发表时间：
2023
影响因子：
4.8
通讯作者：
Zhang, Bing
中科院分区：
文献类型：
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作者：
Wang, Yihan;Ford, Saavik;Perna, Rosalba;McKernan, Barry;Zhu, Zhaohuan;Zhang, Bing
大质量物体势能下的二体散射在天体物理学中非常常见。如果大质量天体距离足够远，使得两个小天体处于各自的引力影响范围内，则可以暂时忽略大质量天体的引力。然而，这要求散射过程足够快，以便小物体不会在影响球体表面附近的距离上花费太多时间。在本文中，我们推导了有效二体散射的验证标准，并为该过程建立了一个简单的解析解，并通过数值散射实验进行了验证。我们使用这个解决方案来研究活跃星系核盘中的恒星-黑洞散射和行星系统中的行星-行星散射，并分析计算它们的一维横截面。当问题设置在我们的研究确定的有效参数空间区域内时，我们的解决方案对于减少在更大质量的第三体的潜力下处理两体散射时的计算时间将是有价值的。
Two-body scatterings under the potential of a massive object are very common in astrophysics. If the massive body is far enough away that the two small bodies are in their own gravitational sphere of influence, the gravity of the massive body can be temporarily ignored. However, this requires the scattering process to be fast enough that the small objects do not spend too much time at distances near the surface of the sphere of influence. In this paper, we derive the validation criteria for effective two-body scattering and establish a simple analytical solution for this process, which we verify through numerical scattering experiments. We use this solution to study star–black hole scatterings in the discs of active galactic nuclei and planet–planet scatterings in planetary systems, and calculate their one-dimensional cross-section analytically. Our solution will be valuable in reducing computational time when treating two-body scatterings under the potential of a much more massive third body, provided that the problem settings are in the valid parameter space region identified by our study.
DOI：
--
发表时间：
1976
期刊：
影响因子：
--
作者：
E. Opik
通讯作者：
E. Opik