论文标题
ER3BP行星附近卫星的捕获轨道的半分析溶液
Semi-analytical solution for the trapped orbits of satellite near the planet in ER3BP
论文作者
论文摘要
在本文中，我们提出了一个新的ANSATZ，用于求解无穷小质量（卫星）的轨道的运动方程，该轨道被锁定在太空陷阱中，以在三个身体的椭圆形限制性问题（ER3BP）的椭圆形限制性问题（带有Keplerian Elliptic Elliptic Traightories of erseet Planseet the Anchet the Plan和a。这里实施了一种新型的求解程序，以获得无穷小质量（卫星）的坐标，其轨道位于行星附近。运动方程系统用于获得半分析和分析溶液。可以获得两种笛卡尔坐标（在彼此围绕的原始旋转的平面旋转平面）取决于真正的异常和确定溶液的准周期特征的功能，而第三坐标（垂直于原始旋转平面）是准渗透性的，是quasi-periotipiotipy的真实性。
In this paper, we present a new ansatz for solving equations of motion for the trapped orbits of the infinitesimal mass (satellite), which is locked in the space trap to be moving near the planet in case of the elliptic restricted problem of three bodies, ER3BP (with Keplerian elliptic trajectories of primaries Sun and planet around each other). A new type of the solving procedure is implemented here to obtain the coordinates of the infinitesimal mass (satellite) with its orbit located near the planet. The system of equations of motion was applied for obtaining of the semi-analytic and analytic solutions. It is obtained that two cartesian coordinates (in a plane of mutual rotation of primaries Sun and planet around each other) depend on the true anomaly and a function which determines the quasi periodic character of solution, while the third coordinate (perpendicular to the plane of rotation of primaries) is quasi-periodically varying with true anomaly.
