论文标题

Titius-Bode关系的可靠性及其对搜索系外行星的影响

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

论文作者

Lara, Patricia, Cordero-Tercero, Guadalupe, Allen, Christine

论文摘要

我们太阳系中行星的主要半疗法服从了一个简单的几何进程,称为Titius-Bode关系(TBR),其物理起源仍然存在争议。已经表明,系外行驶系统遵循A_N = A_0 E^(Bn)形式的相似(但不是相同)的进程,其中A_0,B是每个系统的常数。自从其制定以来,Titius-Bode的关系已被证明在我们的太阳系中具有很高的预测性。使用来自27个具有5个或更多行星的系术系统的数据并应用提出的方法,我们得出结论,对于具有至少4个行星的系统,可以获得可靠的TB样拟合,并且TBR的精度为78%。通过统计测试,我们表明,实际系外行星系统中行星的周期与随机分布不一致。相反,他们表明其配置是由它们相互相互作用塑造的。

The major semiaxes of the planets in our Solar System obey a simple geometric progression known as the Titius-Bode Relation (TBR), 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, b are constants to be determined for each system. Since its formulation, the Titius-Bode Relation has proved to be highly predictive in our Solar System. Using data from 27 exoplanetary systems with 5 or more planets and applying a proposed method, we conclude that reliable TB-like fits can be obtained for systems with at least 4 planets and that the precision of the TBR 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.

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