天体物理学$N$ -体问题中的可逆转换积分器
Switching integrators reversibly in the astrophysical $N$-body problem
摘要：
我们提出了一个简单的算法之间切换的$N$体时间积分在一个可逆的方式。我们将其应用于行星系经历任意接近的遭遇和高偏心轨道，但潜在的应用更广泛。升级一个普通的不可逆开关积分器的可逆之一是简单的，并介绍了在我们的测试中没有明显的计算负担。我们的方法检查积分器在时间步长期间是否违反时间对称选择条件，并在必要时重做该步骤。在我们的实验中，如果没有我们的修正，百分之几的步骤会违反条件。通过消除它们，该算法避免了在某些情况下几个数量级的长期误差积累。
英文摘要：
We present a simple algorithm to switch between $N$-body time integrators in a reversible way. We apply it to planetary systems undergoing arbitrarily close encounters and highly eccentric orbits, but the potential applications are broader. Upgrading an ordinary non-reversible switching integrator to a reversible one is straightforward and introduces no appreciable computational burden in our tests. Our method checks if the integrator during the time step violates a time-symmetric selection condition and redoes the step if necessary. In our experiments a few percent of steps would have violated the condition without our corrections. By eliminating them the algorithm avoids long-term error accumulation, of several orders magnitude in some cases.
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