论文标题
在太阳阴影动态上
On the Sun-shadow dynamics
论文作者
论文摘要
我们研究了通过修补开普勒和斯塔克的动力学定义的力场中质量粒子的平面运动。该模型称为阳光动力学，指的是太阳辐射压力扰动的地球卫星的运动，并考虑了地球阴影效应。证明了制动类型的周期性轨道的存在，并通过像沿流动不保守的数量定义的庞加罗般的图表一起研究了太阳阴影动力学。我们还介绍了我们对地图某些特性的数值研究结果。此外，我们构建了与制动类型的周期轨道相关的双曲线固定点的不变歧管。地图的全球图片显示了规则和混乱行为的证据。
We investigate the planar motion of a mass particle in a force field defined by patching Kepler's and Stark's dynamics. This model is called Sun-shadow dynamics, referring to the motion of an Earth satellite perturbed by the solar radiation pressure and considering the Earth shadow effect. The existence of periodic orbits of brake type is proved, and the Sun-shadow dynamics is investigated by means of a Poincare'-like map defined by a quantity that is not conserved along the flow. We also present the results of our numerical investigations on some properties of the map. Moreover, we construct the invariant manifolds of the hyperbolic fixed points related to the periodic orbits of brake type. The global picture of the map shows evidence of regular and chaotic behaviour.
