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单词 Libration point
释义

Libration point

中文百科

拉格朗日点 Lagrangian point

(重定向自Libration point)
 L4点受两天体重力的合力指向系统的质心
Curvas de potencial en un sistema de dos cuerpos (aquí el Sol y la Tierra), mostrando los cinco puntos de Lagrange. Las flechas indican pendientes alrededor de los puntos L – acercándose o alejándose de ellos. Contra la intuición, los puntos L4 y L5 son máximos.

拉格朗日点(Lagrangian point)又称平动点(libration points)在天体力学中是限制性三体问题的五个特解。就平面圆型三体问题,1767年数学家欧拉根据旋转的二体引力场推算出其中三个点(特解)为L1、L2、L3,1772年数学家拉格朗日推算出另外两个点(特解)为L4、L5。例如,两个天体环绕运行,在空间中有五个位置可以放入第三个物体(质量忽略不计),并使其保持在两个天体的相应位置上。理想状态下,两个同轨道物体以相同的周期旋转,两个天体的万有引力与离心力在拉格朗日点平衡,使得第三个物体与前两个物体相对静止。

英语百科

Lagrangian point 拉格朗日点

(重定向自Libration point)
Lagrange points in the Sun–Earth system (not to scale)
Gravitational accelerations at L4
A contour plot of the effective potential due to gravity and the centrifugal force of a two-body system in a rotating frame of reference. The arrows indicate the gradients of the potential around the five Lagrange points—downhill toward them (red) or away from them (blue). Counterintuitively, the L4 and L5 points are the high points of the potential. At the points themselves these forces are balanced.
Visualisation of the relationship between the Lagrangian points (red) of a planet (blue) orbiting a star (yellow) anticlockwise, and the effective potential in the plane containing the orbit (grey rubber-sheet model with purple contours of equal potential).[10]Click for animation.

In celestial mechanics, the Lagrangian points (/ləˈɡrɑːniən/; also Lagrange points, L-points, or libration points) are positions in an orbital configuration of two large bodies where a small object affected only by gravity can maintain a stable position relative to the two large bodies. The Lagrange points mark positions where the combined gravitational pull of the two large masses provides precisely the centripetal force required to orbit with them. There are five such points, labeled L1 to L5, all in the orbital plane of the two large bodies. The first three are on the line connecting the two large bodies and the last two, L4 and L5, each form an equilateral triangle with the two large bodies. The two latter points are stable, which implies that objects can orbit around them in a rotating coordinate system tied to the two large bodies.

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更新时间:2025/6/17 5:13:25