三维建模混沌确定系统实现N体运动

上传者: Python_caoboqiao | 上传时间: 2022-04-20 09:01:20 | 文件大小: 2.54MB | 文件类型: ZIP
混沌确定系统是庞加莱在研究三体问题时第一次发现的。 最简单而引人注目的混沌,莫过于三体运动。仅仅三颗星体的运动,就能变得复杂而眩目。这种复杂曾令数学家们在百年间困惑不已。如果只有两个天体,那么一切是多么简单,18世纪的伯努利就已解出了运动的所有可能轨迹,用合适的坐标,就能用简单的曲线描述。但仅仅是多了一个天体,就要等到19世纪的庞加莱,才给出了差强人意的答案:没有漂亮的解(正式术语是三体系统是不可积的)。这并非因为人类的智慧所限,而是从本质上来说,三个天体之间的运动轨迹不可能用简单的式子表达。自然并不像原来期盼的那么简单,它的复杂性令人绝望。 但正是这种复杂性孕育了无数可能。并非所有三体系统都不可理解,通过合适的构造,我们可以得到一些会沿着既定曲线运转的系统。通过合适地安排速度和位置,我们也可以使其中一颗星体按照任意给定的顺序探访其余两颗星体。但这些系统是如此脆弱,一点点扰动就会打破微妙的平衡,后果可能是其中一颗星体被抛射出去,从此分道扬镳。实际上,我们连我们所在的太阳系的稳定性都不清楚,不知道数百万年后,木星和土星的巨大质量会不会将其它行星,包括地球,抛射到广袤的恒星间空间中。

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