Dynamic Portrait of the Retrograde 1:1 Mean Motion Resonance
Dynamic Portrait of the Retrograde 1:1 Mean Motion Resonance
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DOI：
10.3847/1538-3881/aac1bc
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发表时间：
2018-04
期刊：
影响因子：
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通讯作者：
Yukun Huang;Miao Li;Junfeng Li;Shengping Gong
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文献类型：
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作者：
Yukun Huang;Miao Li;Junfeng Li;Shengping Gong
在太阳系中，与巨行星平均运动共振的小行星很常见，但直到最近才发现几颗与木星和土星平均运动共振的小行星。2015 BZ509是木星的一颗逆行共轨小行星，它与木星之间存在着长期稳定的逆行1：1平均运动共振，这引起了我们对其独特共振动力学的兴趣。本文在圆形限制性三体问题的框架下，详细研究了逆行1：1共振的相空间结构。我们构造了一个简单的可积近似的平面逆行共振使用正则接触变换和数值计算采用封闭形式的平均过程。用平均哈密顿量的能级曲线描绘了倒1：1共振的相图。我们彻底分析了所有可能的天平动在共轨区域，并揭示了一个新的远心天平动逆行1：1共振内的行星轨道。我们还观察到显着的跳跃轨道要素的外部和内部apocentric天平动，这是由近距离接触的摄动。
Asteroids in mean motion resonances with giant planets are common in the solar system, but it was not until recently that several asteroids in retrograde mean motion resonances with Jupiter and Saturn were discovered. A retrograde co-orbital asteroid of Jupiter, 2015 BZ509 is confirmed to be in a long-term stable retrograde 1:1 mean motion resonance with Jupiter, which gives rise to our interests in its unique resonant dynamics. In this paper, we investigate the phase-space structure of the retrograde 1:1 resonance in detail within the framework of the circular restricted three-body problem. We construct a simple integrable approximation for the planar retrograde resonance using canonical contact transformation and numerically employ the averaging procedure in closed form. The phase portrait of the retrograde 1:1 resonance is depicted with the level curves of the averaged Hamiltonian. We thoroughly analyze all possible librations in the co-orbital region and uncover a new apocentric libration for the retrograde 1:1 resonance inside the planet’s orbit. We also observe the significant jumps in orbital elements for outer and inner apocentric librations, which are caused by close encounters with the perturber.