Dynamics of Mars Trojans
Dynamics of Mars Trojans
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DOI：
10.1016/j.icarus.2005.01.018
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发表时间：
2005-06
期刊：
影响因子：
3.2
通讯作者：
H. Scholl;F. Marzari;P. Tricarico
中科院分区：
文献类型：
--
作者：
H. Scholl;F. Marzari;P. Tricarico
在本文中，我们探讨了火星特洛伊地区的动力学稳定性主要应用Laskar的频率图分析。这种方法产生的混沌扩散率的轨道，并允许确定最稳定的区域。它也给出了导致轨道不稳定的频率。最稳定的区域是在倾角约为15°和30°之间。对于倾角小于15°的小行星，我们通过应用合成的长期理论证实，长期共振ν3，ν4，ν13，ν 14在几个百万年甚至更快的时间内迅速激发小行星的轨道。这些小行星在与火星近距离接触后被从特洛伊地区移走。对于大倾角，长期共振ν 5清除了30°附近的一个小区域，而Kozai共振则迅速清除了倾角大于35°的物体。三个L5特洛伊木马，（5261）尤里卡，1998 VF 31，2001 DH 47，和唯一的L4特洛伊木马1999 UJ 7的动力学寿命是通过对太阳系年龄内相应克隆云的数值积分确定的。所有四个特洛伊人居住在最稳定的区域，最小的扩散系数。它们的动力学半衰期与太阳系的年龄相当。雅科夫斯基力对已知的特洛伊人几乎没有影响，但对于小于1-5米的物体，阻力足以在短于4.5 Gyr的时间尺度上使特洛伊人不稳定。
In this paper we explore the dynamical stability of the Mars Trojan region applying mainly Laskar's Frequency Map Analysis. This method yields the chaotic diffusion rate of orbits and allows to determine the most stable regions. It also gives the frequencies which are responsible for the instability of orbits. The most stable regions are found for inclinations between about 15° and 30°. For inclinations smaller than 15°, we confirm, by applying a synthetic secular theory, that the secular resonances ν3, ν4, ν13, ν14rapidly excite asteroid orbits within a few Myrs, or even faster. The asteroids are removed from the Trojan region after a close encounter with Mars. For large inclinations, the secular resonance ν5clears a small region around 30° while the Kozai resonance rapidly removes bodies for inclinations larger than 35°. The dynamical lifetimes of the three L5 Trojans, (5261) Eureka, 1998 VF31, 2001 DH47, and the only L4 Trojan 1999 UJ7 are determined by numerically integrating clouds of corresponding clones over the age of the Solar System. All four Trojans reside in the most stable region with smallest diffusion coefficients. Their dynamical half-lifetime is of the order of the age of the Solar System. The Yarkovsky force has little effect on the known Trojans but for bodies smaller than about 1–5 m the drag is strong enough to destabilize Trojans on a timescale shorter than 4.5 Gyr.