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arXiv 0810.3491astro-ph
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行星形成大动力学范围问题的新方法

New methods for large dynamical range problems in planetary formation

D. S. McNeil, R. P. Nelson

摘要:

行星动力学的现代N体技术通常基于专门适用于开普勒问题的辛算法。这些方法在研究行星形成方面非常有用,但通常需要将所有天体的时间步长设置为最内层天体轨道周期的一小部分。对于许多物理上有趣的场景,即使是中等数量的粒子,这种计算费用也可能是令人望而却步的,例如最近的热系外行星形成模型,其中可能的祖先的半长轴可以变化数量级。我们提出了新的方法,保留了大部分的标准辛积分的好处,但允许不同的时间步长的径向区域。这些方法应该使模拟行星吸积与大动力学范围易于处理。作为概念的证明,我们提出了初步的科学结果,从实施的算法应用到寡头迁移的情况下,形成热海王星。

英文摘要:

Modern N-body techniques for planetary dynamics are generally based on symplectic algorithms specially adapted to the Kepler problem. These methods have proven very useful in studying planet formation, but typically require the timestep for all objects to be set to a small fraction of the orbital period of the innermost body. This computational expense can be prohibitive for even moderate particle number for many physically interesting scenarios, such as recent models of the formation of hot exoplanets, in which the semimajor axis of possible progenitors can vary by orders of magnitude. We present new methods which retain most of the benefits of the standard symplectic integrators but allow for radial zones with distinct timesteps. These approaches should make simulations of planetary accretion with large dynamical range tractable. As proof of concept we present preliminary science results from an implementation of the algorithm as applied to an oligarchic migration scenario for forming hot Neptunes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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