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arXiv 0705.1858astro-ph
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14 Her行星系统的动力学分析

A dynamical analysis of the 14 Her planetary system

K. Gozdziewski, C. Migaszewski, M. Konacki

摘要:

精确径向速度(RV)测量的类日矮星14武仙座发表的Naef等。等人(2004),Butler et. al(2006)和Wittenmyer et al(2007)揭示了一颗在1760天轨道上运行的类木行星,以及表明第二个遥远物体的趋势。基于动力学的考虑,我们检验了一个假设,即这种趋势可以用一颗额外的巨行星的存在来解释。我们推导出在~13天文单位内的外木星伴星轨道参数的动力学极限。在这种情况下,类木行星之间的相互作用对系统的长期稳定性很重要。最好的自洽和稳定的牛顿拟合的木星行星的边缘上的配置有外行星在9 AU的轨道与一个中等的偏心率约0.2,并局限于一个区域跨越低阶平均运动共振5:1和6:1。该解存在于\Chi的浅最小值中,并且在系统倾角的宽范围内持续存在。当外行星的半长轴在(6,13)AU范围内,偏心率在(0,0.3)范围内时,在最佳拟合的1σ置信区间内,可能存在其他稳定的构型。轨道倾角还不能确定,但当它减小时,两颗行星的质量接近约10木星质量,而在约30度时,质量的层次是颠倒的。

英文摘要:

Precision radial velocity (RV) measurements of the Sun-like dwarf 14 Herculis published by Naef et. al (2004), Butler et. al (2006) and Wittenmyer et al (2007) reveal a Jovian planet in a 1760 day orbit and a trend indicating the second distant object. On the grounds of dynamical considerations, we test a hypothesis that the trend can be explained by the presence of an additional giant planet. We derive dynamical limits to th orbital parameters of the putative outer Jovian companion in an orbit within ~13 AU. In this case, the mutual interactions between the Jovian planets are important for the long-term stability of the system. The best self-consistent and stable Newtonian fit to an edge-on configuration of Jovian planets has the outer planet in 9 AU orbit with a moderate eccentricity ~0.2 and confined to a zone spanned by the low-order mean motion resonances 5:1 and 6:1. This solution lies in a shallow minimum of \Chi and persists over a wide range of the system inclination. Other stable configurations within 1σconfidence interval of the best fit are possible for the semi-major axis of the outer planet in the range of (6,13) AU and the eccentricity in the range of (0,0.3). The orbital inclination cannot yet be determined but when it decreases, both planetary masses approach ~10 Jupiter masses and for ~30 deg the hierarchy of the masses is reversed.

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