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Earth and Space Sciences · 术语表

什么是 Reference ellipsoid and flattening?

又称: reference ellipsoid · flattening

Definition 1.11 High School Earth and Space Sciences · 第 1 章 — Measuring the Earth

A reference ellipsoid is the surface obtained by rotating an ellipse about its short axis, chosen to fit the shape of the Earth as closely as possible. Its equatorial radius is aa, its polar radius bb, and its flattening is

f=a−ba.f = \frac{a-b}{a}.

示例

Example 1.13 (A degree of longitude)

A parallel at latitude φ\varphi is a circle whose radius is the distance from the axis, about Rcos⁡φR \cos \varphi. At 60∘60{}^{\circ} N its circumference is about half that of the equator, and a degree of longitude is about 111.32×cos⁡60∘≈55.7 km111.32 \times \cos 60^\circ \approx 55.7\,\mathrm{km} (the ellipsoid gives 55.80 km55.80\,\mathrm{km}).

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