Reversible Adaptive Regularization I: Perturbed Kepler Motion and Classical Atomic Trajectories
Reversible Adaptive Regularization I: Perturbed Kepler Motion and Classical Atomic Trajectories
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可逆自适应正则化 I：扰动开普勒运动和经典原子轨迹
DOI：
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发表时间：
1997
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通讯作者：
B. Leimkuhler
中科院分区：
文献类型：
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作者：
B. Leimkuhler
基于Kustaanheimo-Stiefel正则化和改进的Sundman变换的可逆和自适应积分方法被应用于模拟一般的微扰开普勒运动和计算原子系统（如Rydberg原子）的经典轨道。这类新的可逆自适应正则化（RAR）方法不仅保持了角动量守恒，而且在长时间积分中表现出上级能量守恒和数值稳定性。该方案适用于散射，逃逸时间和长期稳定性的天文计算，以及经典和半经典的原子动力学研究与或没有elds。描述了用于轨迹计算的算法的组件。数值实验表明了该方法的有效性。
Reversible and adaptive integration methods based on Kustaanheimo-Stiefel regularization and modiied Sundman transformations are applied to simulate general perturbed Kepler motion and to compute classical trajectories of atomic systems (e.g. Rydberg atoms). The new family of reversible adaptive regulariza-tion (RAR) methods also conserve angular momentum and exhibit superior energy conservation and numerical stability in long time integrations. The schemes are appropriate for scattering, for astronomical calculations of escape time and long-term stability, and for classical and semiclassical studies of atomic dynamics with or without elds. The components of an algorithm for trajectory calculations are described. Numerical experiments illustrate the eeectiveness of the reversible approach.