Secular Interactions of Coorbiting Objects
Secular Interactions of Coorbiting Objects
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DOI：
10.1006/icar.1998.6032
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发表时间：
1999-02
期刊：
影响因子：
3.2
通讯作者：
F. Namouni
中科院分区：
文献类型：
--
作者：
F. Namouni
摘要研究了两个物体处于1：1平均运动平行度且能近距离相遇时的三体问题动力学。三个轨道族与动力学有关：马蹄形轨道、通过轨道和逆行卫星轨道。只有当两个物体的相对离心率大于其共轨区的宽度时，才出现后两个族。在平面情况下，这三个族是不相交的，因为运动的引导中心相对于长期扰动是静止的;因此，碰撞轨道是不稳定的。由于偏心率和近心幅角ω r的长期变化，不同族之间的轨道转变发生在三维空间。潜在碰撞的马蹄形轨道通过偏心逆行卫星轨道以长期机制过渡，ω r在±90°左右自由运动。共轨通过轨道位于Kozai共振处，2ω r在0°或180°附近振动。前一个共振是一个主要特征的动力学一旦通过轨道存在。后者是发现只有在大值的雅可比常数。Kozai共振附近的大振幅天平动涉及从通过轨道到马蹄形和逆行卫星轨道的关联的过渡以及通过轨道的相对半长轴的长期周期性反转。这些结构的稳定性支持了与行星（尤其是水星）共轨物质的存在，并有利于逆行天然卫星的共轨起源。
Abstract We study the dynamics of the three-body problem when two objects are in the 1:1 mean motion commensurability and can experience close encounters. Three orbit families are relevant to the dynamics: horseshoe orbits, passing orbits, and retrograde satellite orbits. The latter two families are present only when the relative eccentricity of the two objects is large in comparison to the width of their coorbital region. In the planar case, the three families are disjoint because the guiding center of the motion is stationary with respect to secular perturbations; as a result, collisional orbits are unstable. Orbit transitions between different families occur in three dimensions owing to the secular variations of the eccentricity and argument of pericenter ω r . Potentially colliding horseshoe orbits transit via eccentric retrograde satellite orbits in a secular mechanism where ω r librates around ±90°. Coorbital passing orbits are located at the Kozai resonances with 2ω r librating around either 0° or 180°. The former resonance is a dominant feature of the dynamics once passing orbits exist. The latter is found only at large values of the Jacobi constant. Large amplitude librations around the Kozai resonances involve the transition from a passing orbit to an association of horseshoe and retrograde satellite orbits and the secular periodic reversal of the relative semimajor axis of the passing orbit. The stability of these structures supports the existence of coorbiting material with the planets, especially Mercury, and favors a coorbital origin of the retrograde natural satellites.