拉格朗日点

日-地系拉格朗日点任务及其转移轨道设计方法

Missions of Sun-Earth Lagrange Points and Design Method of Transfer Trajectory

进而，基于日地系共线拉格朗日点附近无控运动的周期性，设计了保持控制方案，对传统靶点法和基于周期轨道单值矩阵的Floquet法进行了仿真研究。

Then , after analyzing the periodic characters of the uncontrolled movements near the Sun-Earth collinear Lagrange points , the station keeping schemes are designed . The target-point method and Monodromy matrix based Floquet method are presented with simulations .

该探测器将停留在一个叫拉格朗日点的地区附近，太阳系有五个类似这样的点。

The probe will stay near an area called a Lagrangian point-there are five similar points .

由于拉格朗日点的独特空间位置，它附近的编队研究对深空探测有着很重要的意义。

The formation flying around Lagrange points will benefit deep space exploration greatly due to the special location of the Lagrange points .

然后基于不变流形理论和庞加莱截面方法，设计了不同拉格朗日点间转移轨道。

Then on the basis of invariant manifold theory and Poincar é section , a transfer trajetory between L1 and L2 of the Earth-Moon system was given .

日-地（月）系拉格朗日L1点及晕（Halo）轨道应用

Application of Lagrange L1 Point and Halo Orbits in Sun-Earth ( Moon ) System

关于拉格朗日余项中值点的渐近性

On Asymptotic Behavior of the Middle Value Point to the Langrange Remainder

修正的增广拉格朗日函数内点拟牛顿法

Interior-point Quasi-Newton Method of Modified Augmented Lagrangian Function

传统数学中，在拉格朗日算子的鞍点、优化问题的最优解、非线性Kuhn-Tucker条件和拉格朗日算子的极小极大定理之间存在着等价性。

In traditional mathematics , there is the equivalence among optimal solutions of optimization problems , the nonlinear Kuhn-Tucker condition , the saddle points and the minimax condition of Lagrange operators .

约束优化问题修正拉格朗日函数的鞍点与最优路径的收敛

On Saddle Point of Augmented Lagrangian for Constrained Optimization and the Convergence of the Optimal Path