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单词 Parabolic coordinates
释义

Parabolic coordinates

中文百科

抛物线座标系

抛物线坐标系是一种二维正交坐标系,两个坐标的等值曲线都是共焦的抛物线。将二维的抛物线坐标系绕着抛物线的对称轴旋转,则可以得到三维的抛物线坐标系。

实际上,抛物线坐标可以应用在许多物理问题。例如,斯塔克效应 (Stark effect) ,物体边缘的位势论,以及拉普拉斯-龙格-冷次矢量的保守性。

英语百科

Parabolic coordinates 抛物线座标系

Coordinate surfaces of the three-dimensional parabolic coordinates.  The red paraboloid corresponds to τ=2, the blue paraboloid corresponds to σ=1, and the yellow half-plane corresponds to φ=-60°.  The three surfaces intersect at the point P (shown as a black sphere) with Cartesian coordinates roughly (1.0, -1.732, 1.5).

Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version of parabolic coordinates is obtained by rotating the two-dimensional system about the symmetry axis of the parabolas.

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更新时间:2025/6/17 21:36:44