Orbital stability of Earth Trojans
Orbital stability of Earth Trojans
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地球特洛伊木马的轨道稳定性
DOI：
10.1051/0004-6361/201834026
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发表时间：
2018-12
影响因子：
6.5
通讯作者：
J. Li
中科院分区：
文献类型：
--
作者：
L. Zhou;Y.-B. Xu;周礼勇;R. Dvorak;J. Li
地球木马2010 TK 7的唯一发现和随后的OSIRIS-REx的发射激发了我们对地球L4和L5三角形拉格朗日点周围稳定性的研究。本文给出了（a0，i 0）平面上详细的动力学映射，其谱数（SN）表示系统的稳定性.在低倾角（i 0 ≤ 15°）和中等倾角（24 ° ≤ i 0 ≤ 37°）下，发现了两个主要的稳定区，它们之间被由ν 3和ν 4长期共振引起的混沌区所分隔. 最稳定的轨道位于10°以下，它们可以在太阳系的年龄中存活下来。 节点长期共振ν 13可以根据初始值在0° ~ 100 °范围内改变倾角，ν 14可以将倾角抽升到120 °以上。动力学图中的精细结构与高次长期共振有关，不同类型的长期共振在不同区域占主导地位。蝌蚪和马蹄轨道的动力学行为，反映在他们的长期岁差，显示出很大的差异，在频率空间。蝌蚪轨道的长期共振对内行星的频率漂移更敏感，因此不稳定性可能会扫过相空间，导致蝌蚪轨道的清除。我们更有可能在马蹄形轨道上找到地球伴侣。雅科夫斯基效应可以在不同程度上破坏地球特洛伊人的稳定。我们数值计算得到的公式描述的稳定性的影响Yarkovsky效应，并发现之间的不对称性的反时针和逆行旋转地球特洛伊。基本上排除了小型原始地球特洛伊木马的存在，这些特洛伊木马可以避免被检测到，但在4.5 Gyr的Yarkovsky效应中幸存下来。
The only discovery of Earth Trojan 2010 TK7and the subsequent launch of OSIRIS-REx have motived us to investigate the stability around the triangular Lagrange points of the Earth,L4andL5. In this paper we present detailed dynamical maps on the (a0,i0) plane with the spectral number (SN) indicating the stability. Two main stability regions, separated by a chaotic region arising from theν3andν4secular resonances, are found at low (i0≤ 15°) and moderate (24 ° ≤i0≤ 37°) inclinations, respectively. The most stable orbits reside belowi0= 10° and they can survive the age of the solar system. The nodal secular resonanceν13could vary the inclinations from 0° to ∼10° according to their initial values, whileν14could pump up the inclinations to ∼20° and upwards. The fine structures in the dynamical maps are related to higher degree secular resonances, of which different types dominate different areas. The dynamical behaviour of the tadpole and horseshoe orbits, reflected in their secular precession, show great differences in the frequency space. The secular resonances involving the tadpole orbits are more sensitive to the frequency drift of the inner planets, thus the instabilities could sweep across the phase space, leading to the clearance of tadpole orbits. We are more likely to find terrestrial companions on horseshoe orbits. The Yarkovsky effect could destabilize Earth Trojans in varying degrees. We numerically obtain the formula describing the stabilities affected by the Yarkovsky effect and find the asymmetry between the prograde and retrograde rotating Earth Trojans. The existence of small primordial Earth Trojans that avoid being detected but survive the Yarkovsky effect for 4.5 Gyr is substantially ruled out.
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影响因子：
3.2
作者：
P. Wiegert;K. Innanen;S. Mikkola
通讯作者：
P. Wiegert;K. Innanen;S. Mikkola
DOI：
10.1111/j.1365-2966.2010.17566.x
发表时间：
2010-07
影响因子：
4.8
作者：
Li-Yong Zhou;R. Dvorak;Yi-Sui Sun Department of Astronomy;N. University;Institute for Astronomy;V. University
通讯作者：
Li-Yong Zhou;R. Dvorak;Yi-Sui Sun Department of Astronomy;N. University;Institute for Astronomy;V. University
DOI：
10.1016/0167-2789(93)90210-r
发表时间：
1993-08
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
J. Laskar
通讯作者：
J. Laskar
影响因子：
2.4
作者：
M. L. Lidov
通讯作者：
M. L. Lidov
DOI：
10.1088/0004-6256/137/6/5003
发表时间：
2009-05
期刊：
The Astronomical Journal
影响因子：
--
作者：
D. Nesvorný;D. Vokrouhlický
通讯作者：
D. Nesvorný;D. Vokrouhlický