1：1平均运动共振动力学一般背景下的准卫星轨道。扰动处理
Quasi-satellite orbits in the general context of dynamics in the 1:1 mean motion resonance. Perturbative treatment
摘要：
我们的调查是由最近发现的小行星绕太阳运行，同时停留在太阳系行星之一的长时间。这种运动状态通常被称为准卫星状态，因为即使在最接近的时候，小行星和行星之间的距离也远远大于行星可以容纳其卫星的空间区域（希尔球）。我们探讨的性质的准卫星制度的背景下，空间限制的圆形三体问题“太阳行星小行星”。通过双重数值平均，我们构建的演化方程描述的小行星的轨道要素的长期行为。特别注意的是，在准卫星轨道和一个在另一种类型的轨道中可用的1：1共振的运动之间可能的过渡。对具有足够小的偏心率和倾角的小行星运动，给出了相应演化路径的粗略分类。
英文摘要：
Our investigation is motivated by the recent discovery of asteroids orbiting the Sun and simultaneously staying near one of the Solar System planets for a long time. This regime of motion is usually called the quasi-satellite regime, since even at the times of the closest approaches the distance between the asteroid and the planet is significantly larger than the region of space (the Hill's sphere) in which the planet can hold its satellites. We explore the properties of the quasi-satellite regimes in the context of the spatial restricted circular three-body problem "Sun-planet-asteroid". Via double numerical averaging, we construct evolutionary equations which describe the long-term behaviour of the orbital elements of an asteroid. Special attention is paid to possible transitions between the motion in a quasi-satellite orbit and the one in another type of orbits available in the 1:1 resonance. A rough classification of the corresponding evolutionary paths is given for an asteroid's motion with a sufficiently small eccentricity and inclination.
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