论文标题
弯曲的两体问题的世俗动力学
Secular dynamics for curved two-body problems
论文作者
论文摘要
考虑在纽顿反平方定律的吸引力类似物的恒定表面上两个点质量的动力学。当身体之间的距离足够小时，还可以将减少的运动方程视为可集成系统的扰动。我们将合适的动作角度坐标定义为平均这些扰动项，并观察曲率对两体运动的动态影响。
Consider the dynamics of two point masses on a surface of constant curvature subject to an attractive force analogue of Newton's inverse square law. When the distance between the bodies is sufficiently small, the reduced equations of motion may be seen as a perturbation of an integrable system. We define suitable action-angle coordinates to average these perturbing terms and observe dynamical effects of the curvature on the motion of the two-bodies.
