Titius-Bode定律在外行星系统中的应用
Applying Titius-Bode's Law on Exoplanetry Systems
摘要：
我们报告的应用提丢斯-波德定律的43个系外行星系统包含四个或更多的行星。由于大多数这些系统的行星都位于紧凑的区域内，延伸不到水星的半长轴，我们发现有必要在每种情况下缩小提丢斯-波德定律。在这篇简短的文章中，我们提出了三个系统的整个集合的示例计算。结果表明，所研究的所有系统都验证了该法律的适用性，具有较高的精度。从而验证了Titius-Bode定律的标度不变性。这项研究的结果除了能够诊断可能的偏差原因外，还增强了根据提丢斯-波德定律预测系外行星位置的信心。
英文摘要：
We report the application of Titius-Bode's law on 43 exoplanetary systems containing four or more planets. Due to the fact that most of these systems have their planets located within compact regions extending for less than the semi-major axis of Mercury we found the necessity to scale down the Titius-Bode law in each case. In this short article we present sample calculations for three systems out of the whole set. Results show that all systems studied are verifying the applicability of the law with high accuracy. Consequently our investigation verifies practically the scale invariance of Titius-Bode law. The results of this study buildup the confidence in predicting positions of the exoplanets according to Titius-Bode's law besides enabling diagnosing possible reasons of deviations.
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