Effective two-body scatterings around a massive object

分类： 天文学 >> 天文学 提交时间： 2023-02-19

Yihan Wang Saavik Ford Rosalba Perna Barry McKernan Zhaohuan Zhu Bing Zhang

摘要： 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 disks 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.

同行评议状态:待评议

 点击量 12  下载量 8  评论 0