牛顿黑洞轨道积分中强制吸收边界处的事件检测与有限网格效应

中文摘要 AI 辅助

黑洞轨道的数值分类可能取决于预设的内捕获或吸收边界的实现方式。本研究探讨了对此类边界的离散评估如何影响轨道分类。无质量粒子围绕孤立牛顿点质量进行积分，并在近心点初始化，吸收边界设为rsink = 104RS。由于开普勒近心点q为常数，预期分类可通过解析方法确定。若分类器在初始化时未进行评估，则可能遗漏已满足移除准则的粒子；但在t = 0处进行评估时，每个采样网格均重现了解析分类。随着网格分辨率的提高，推断出的临界近心点趋近于所施加的汇半径。这些结果表明，表观临界近心点可能同时取决于所施加的边界及其数值评估方式，强调了区分数值效应与真实动力学阈值的必要性。

英文摘要

Numerical classification of black-hole orbits can depend on how prescribed inner capture or absorbing boundaries are implemented. This study investigated how discrete evaluation of such a boundary affects orbit classification. Massless particles were integrated about an isolated Newtonian point mass and initialized at periapsis with an absorbing boundary at rsink = 104RS. Because the Keplerian periapsis q is constant, the expected classification can be analytically determined. A classifier omitting evaluation at initialization can miss particles that already satisfy the removal criterion, but evaluation at t = 0 reproduced the analytic classification on every sampled grid. As the grid resolution increased, the inferred critical periapsis approached the imposed sink radius. These results demonstrate that an apparent critical periapsis can depend on both the imposed boundary and its numerical evaluation, emphasizing the need to distinguish numerical effects from genuine dynamical thresholds.

发表机构

• Swinburne University of Technology（斯威本科技大学）

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