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词汇 Spherical coordinate system
分类 英语词汇 英语翻译词典
释义

Spherical coordinate system

中文百科

球座标系

用圆柱座标来表示一个点的位置

在数学里，球座标系（英语：Spherical coordinate system）是一种利用球座标 (r,\ \theta,\ \phi) 表示一个点 p 在三维空间的位置的三维正交座标系。

右图显示了球座标的几何意义：原点与点 P 之间的径向距离 r ，原点到点 P 的连接与正 z-轴之间的天顶角 \theta ，以及原点到点 P 的连接，在 xy-平面的投影线，与正 x-轴之间的方位角 \phi 。

英语百科

Spherical coordinate system 球座标系

Spherical coordinates (r, θ, φ) as commonly used in physics: radial distance r, polar angle θ (theta), and azimuthal angle φ (phi). The symbol ρ (rho) is often used instead of r.
Spherical coordinates (r, θ, φ) as often used in mathematics: radial distance r, azimuthal angle θ, and polar angle φ. The meanings of θ and φ have been swapped compared to the physics convention.
The output pattern of an industrial loudspeaker shown using spherical polar plots taken at six frequencies

In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.
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