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Starting with Lagrange equations of the first kind, pure differential equations of multibody systems with rheonomic constraints are established.

根据变换方与约束方,提出了定常约束与定常系统判据的同表述。

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双语版 TED-Ed 演讲

Every Lagrange point in our solar system has its quirks.

阳系中的每个点都有其特点。

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VOA慢速英语_世界

Gunthorp Farms in Lagrange, Indiana is selling chicken directly to customers.

位于印第安纳州的冈索普农场直接向顾客出售鸡肉。

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生活大爆炸 第6季

I'm looking for Trojan asteroids at Earth's LFive Lagrange point.

在地球的L5点寻找特洛伊小行星。

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双语版 TED-Ed 演讲

In every set of five, the first three Lagrange points are slightly unstable.

在每五个点中,前三个点略微不稳定。

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双语版 TED-Ed 演讲

Consider the five Lagrange points generated by the Sun and the Earth.

阳和地球产生的五个点为例。

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双语版 TED-Ed 演讲

However, Lagrange points are places where all these forces balance out.

但是,点是所有这些力平衡的地方。

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BBC 听力 2022年1月合集

The James Webb space telescope has arrived at its final destination, a region of space called the second Lagrange point.

詹姆斯·韦伯空望远镜已经抵达它的最终目的地,一个被称为第点的空间区域。

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双语版 TED-Ed 演讲

Pairs of massive bodies in our solar system generate sets of five Lagrange points.

阳系中每对大型天体会产生五个点。

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TED演讲(视频版)双语

We send it to a place called Lagrange Point 2, about a million miles farther out from the Sun than we are.

我们把它送到一个叫第点的地方,一个比我们距离阳还要远大约一百万英里的地方。

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双语版 TED-Ed 演讲

Named after the 18th century mathematician who deduced their positions, Lagrange points are rare places of equilibrium in our constantly shifting universe.

点是以推导出其位置的 18 世纪数学家的名字命名的,点是我们不断变化的宇宙中罕见的平衡点。

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双语版 TED-Ed 演讲

Essentially, Lagrange points are celestial parking spaces — once an object is there, it requires little to no energy to stay put.

从本质上讲,点像天体停车位——一旦物体在那里,它几乎不需要任何能量便可留在原地。

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双语版 TED-Ed 演讲

Adding these up, there are over 1,000 Lagrange points in our solar system — but only a few are useful for human purposes.

加起来我们阳系中的点超过 1,000 个,但只有少数对人类有用。

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双语版 TED-Ed 演讲

Each of these dots is a Lagrange point, and as far as human space exploration is concerned, they may be the most important places in our solar system.

这其中每一个点都是点,而对人类空探索而言,它们可能是我们阳系中最重要的地点。

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CGTN

And it'll be placed into a halo orbit at the second Lagrange Point of the Earth-Sun system and maintain a stable operation for a period of at least five years.

CHES空间望远镜将被送入地系统第点的Halo轨道,并在该轨道维持至少5年的稳定运行。

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双语版 TED-Ed 演讲

So whenever humans want to keep an object in one place for a long time without using tons of fuel, it needs to be orbiting a Lagrange point.

因此,当人类希望不消耗大量燃料将物体长时间保留在一个地方时,它得绕着点运行。

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英语短文

Hours later, it was expected to burn its engines to set it on course toward its ultimate destination, a position in space known as the second Lagrange point, or L2 (see 'Webb's journey').

几小时后,预计它会燃烧引擎, 使其驶向最终目的地,即空中被称为第点或 L2 的位置(参见“韦伯的旅程” )。

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NASA微课堂

NASA's Lucy mission will study the pristine Trojan asteroids, the remnants of our solar system that have been gravitationally trapped around Jupiter's Lagrange Point number four and Lagrange Point number five for over four and a half billion years.

NASA 的 Lucy 任务将研究原始的特洛伊小行星,这是我们阳系的残余物,它们被引力困在木星的点 4 号和点 5 周围超过 45 亿年。

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NASA微课堂

Lagrange Points, named after the Italian astronomer who first proposed them, are places in our solar system where the gravitational pull of the planet and the Sun, and the motion of the orbit combine to create an equilibrium.

点以首先提出点的意大利天文学家的名字命名,是我们阳系中行星和阳的引力以及轨道运动共同创造平衡的地方。

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