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The reliability of the Titius-Bode relation and its implications for the search for exoplanets

机译:Titius-Bode关系的可靠性及其对Exoplanets搜索的影响

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摘要

The major semiaxes of the planets in our solar system obey a simple geometric progression known as the Titius-Bode (TB) relation, whose physical origin remains disputed. It has been shown that the exoplanetary systems follow a similar (but not identical) progression of the form a(n) = a(0) e(bn), where a(0) and b are constants to be determined for each system. Since its formulation, the TB relation has proved to be highly predictive in our solar system. Using data from 27 exoplanetary systems with five or more planets and applying a proposed method, we conclude that reliable TB-like fits can be obtained for systems with at least four planets and that the precision of the TB relation is 78%. By means of a statistical test we show that the periods of planets in real exoplanetary systems are not consistent with a random distribution. Rather, they show signs that their configuration is shaped by their mutual interactions.
机译:我们的太阳系中行星的主要半轴遵守了称为Titius-Bode(TB)关系的简单几何进展,其物理来源仍然存在争议。 已经表明,外部工业系统遵循形式A(n)= a(0)e(bn)的类似(但不相同)的进展,其中a(0)和b是用于每个系统的常数。 自制定以来,在我们的太阳系中证明了结核病关系在太阳系中具有高度预测性。 使用具有五个或更多行星的27个外部外部系统的数据并应用提出的方法,我们得出结论,可以获得具有至少四个行星的系统的可靠性Tb的配合,并且TB关系的精度为78%。 通过统计测试,我们表明真正的外部部门系统中的行星周期与随机分布不一致。 相反,它们表明他们的配置是由其相互互动的形状。

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