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arXiv 2201.02195astro-ph.EPphysics.class-ph
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经典天体聚并和行星系形成的算法

An algorithm for coalescence of classical objects and formation of planetary systems

Søren Toxvaerd

摘要:

艾萨克·牛顿提出了中心差分算法(Eur.物理学杂志(2020)135:267),当他推导出他的第二定律。该算法有各种名称("Verlet,leap-frog,. ")是物理学和化学中复杂系统模拟中最常用的算法,在天体物理学中也有应用。他的离散动力学与他的连续空间和时间的精确分析动力学具有相同的性质,具有时间可逆性、辛性以及动量、角动量和能量守恒。在这里,该算法扩展到包括在碰撞的对象的融合。扩展的算法被用来获得天体的自组装在出现的行星系。得到了12个行星系的出现。这些系统在很长一段时间内都是稳定的,即使当两个“行星”相撞或一个行星被它的太阳吞没时也是如此。

英文摘要:

Isaac Newton formulated the central difference algorithm (Eur. Phys. J. Plus (2020) 135:267) when he derived his second law. The algorithm is under various names ("Verlet, leap-frog,...") the most used algorithm in simulations of complex systems in Physics and Chemistry, and it is also applied in Astrophysics. His discrete dynamics has the same qualities as his exact analytic dynamics for contineus space and time with time reversibility, symplecticity and conservation of momentum, angular momentum and energy. Here the algorithm is extended to include the fusion of objects at collisions. The extended algorithm is used to obtain the self-assembly of celestial objects at the emergence of planetary systems. The emergence of twelve planetary systems is obtained. The systems are stable over very long times, even when two "planets" collide or if a planet is engulfed by its sun.

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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