论文标题

Enckehh:具有优势质量的重力动力学集成器,可实现最佳误差行为

EnckeHH: an integrator for gravitational dynamics with a dominant mass that achieves optimal error behaviour

论文作者

Hernandez, David M., Holman, Matthew J.

论文摘要

我们介绍了Enckehh,这是一种用于扰动开普勒系统(例如行星系统或银河中心系统)的轨道动力学的新的,高度准确的代码。它求解了Encke的运动方程,该方程假设开普勒轨道扰动。通过合并数值技术,我们使代码遵循最佳的圆误差增长。在$ 10^ {12} $ DAY集成外部太阳系中,在固定的时间步骤测试中,Enckehh比IAS15更准确$ 3.5 $。建议对IAS15进行自适应步骤。通过研究效率图,我们表明,对于固定步骤尺寸,EnckeHH的精度明显高于反弹积分器IAS15和WHCKL。

We present EnckeHH, a new, highly accurate code for orbital dynamics of perturbed Keplerian systems such as planetary systems or galactic centre systems. It solves Encke's equations of motion, which assume perturbed Keplerian orbits. By incorporating numerical techniques, we have made the code follow optimal roundoff error growth. In a $10^ {12}$ day integration of the outer Solar System, EnckeHH was $3.5$ orders of magnitude more accurate than IAS15 in a fixed time step test. Adaptive steps are recommended for IAS15. Through study of efficiency plots, we show that EnckeHH reaches significantly higher accuracy than the Rebound integrators IAS15 and WHCKL for fixed step size.

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