论文标题
椭圆限制的三体问题的三角拉格朗日点围绕运动的运动解决方案
A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem
论文作者
论文摘要
平面椭圆形的运动方程式限制了三个身体问题，转化为四个脱钩的山等方程。通过将Floquet定理分析解决方案用于振荡器方程与时间相关的周期系数。我们表明，新的分析方法对系统参数有效$ 0 <e \ leq 0.05 $和$ 0 <μ\ leq 0.01 $，其中$ e $ $表示原始的偏心，而$μ$是质量参数。我们还阐明了提供该方法适用性的转换细节。
The equations of motion of planar elliptic restricted three body problem are transformed to four decoupled Hill's equations. By using the Floquet theorem analytic solution to the oscillator equations with time dependent periodic coefficients are presented. We show that the new analytic approach is valid for system parameters $0 < e \leq 0.05$ and $0 < μ\leq 0.01$ where $e$ denotes the eccentricity of primaries while $μ$ is the mass parameter, respectively. We also clarify the transformation details that provide the applicability of the method.
