Secular dynamics around uniformly rotating asteroids
Secular dynamics around uniformly rotating asteroids
复制标题
均匀旋转小行星周围的长期动力学
DOI：
10.1093/mnras/stz561
复制
发表时间：
2019
影响因子：
4.8
通讯作者：
Ortore Emiliano
中科院分区：
文献类型：
--
作者：
Lei Hanlun;Circi Christian;Ortore Emiliano
本文研究了航天器绕均匀旋转的小行星运动的动力学行为。以小行星广义惯性积分为基础，导出了扰动势的平均异常、升交点地理经度和中心辐角的三角级数表达式。通过这种方式，可以通过消除干扰函数中的短周期项或同时消除短周期和长周期项来获得平均模型。在平均模型中，确定了具有恒定半长轴、偏心率、倾角和中心辐角的稳态解族。考虑到非平均模型的运动方程由长期部分和周期部分组成，给出了非共振运动的振荡单元解析解为平均单元和周期振荡的总和。以216 Kleopatra小行星为例，我们发现解析解与数值积分轨道有很好的对应关系，表明解析解适用于非平均模型的动力学行为预测。
The dynamical behaviours of spacecrafts moving around uniformly rotating asteroids are investigated in this work. Based on the generalized inertia integrals of asteroids, the expression of the disturbing potential is derived as a trigonometric series in terms of the mean anomaly, geographical longitude of ascending node and argument of pericentre. In this manner, averaged models can be achieved by eliminating the short-period terms or both the short- and long-period terms in the disturbing function. In the averaged models, families of stationary solutions with constant semi-major axis, eccentricity, inclination and argument of pericentre are identified. Based on the consideration that the equations of motion in the non-averaged model are composed of secular and periodic parts, the analytical solution of osculating elements for non-resonant motions is given as a summation of mean elements and periodic oscillations. Taking asteroid 216 Kleopatra as an example, we find that the analytical orbits have an excellent correspondence with the numerically integrated orbits, indicating that the analytical solution is applicable in predicting dynamical behaviours in non-averaged models.