V2EX restricted three-body problem

Restricted Three-Body Problem

定义 Definition

受限三体问题:天体力学中的经典模型,研究两个质量较大的天体(主星与次星)在相互引力作用下运动时,第三个质量可忽略不计的小天体(如航天器、小行星)在它们引力场中的运动规律。常用于分析拉格朗日点(L1L5)、轨道转移与空间任务设计。(注:三体问题还有更一般的形式,此处为“受限”版本。)

发音 Pronunciation (IPA)

/rstrktd θri bdi prblm/

例句 Examples

The restricted three-body problem helps explain the five Lagrange points.
受限三体问题有助于解释五个拉格朗日点。

In mission design, engineers often use the circular restricted three-body problem to plan transfers near EarthMoon L1 and L2.
在任务设计中,工程师常用圆形受限三体问题来规划靠近地月 L1 与 L2 的轨道转移。

词源 Etymology

restricted 来自拉丁语 restringere(“束缚、限制”),在这里表示把一般三体问题“限制”为:第三个天体质量小到可忽略,因此不会反过来影响另外两个大天体的运动;thee-body problem 则指“三个天体相互引力作用下的运动问题”。组合起来即“受限的三体问题”。

相关词 Related Words

文学与著作 Literary Works

  • Theory of Orbits: The Restricted Problem of Three Bodies Victor Szebehely(专著,系统论述受限三体问题)
  • Solar System Dynamics Carl D. Murray & Stanley F. Dermott(教材中多处使用受限三体近似讨论共振与拉格朗日点)
  • Introduction to Celestial Mechanics Forest Ray Moulton(经典教材,涉及三体与受限三体框架)
  • 期刊 Celestial Mechanics and Dynamical Astronomy(大量论文以受限三体问题为基础研究轨道动力学与任务轨道)
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