“Spheroid”的概念、定义、习题解题方法及翻译-数学辞典

单词

Spheroid

释义

Spheroid

A spheroid is an Ellipsoid

(1)

with two Semimajor Axes equal. Orient the Ellipse so that the

and

axes areequal, then

(2)

(3)

where

is the equatorial Radius and

is the polar Radius. Here

is the colatitude, so take

to express in terms of latitude.

(4)

Rewriting

gives

(5)

(6)

(7)

, the spheroid is Oblate. If

, the spheroid is Prolate. If

, the spheroid degenerates to a Sphere.

See also Darwin-de Sitter Spheroid, Ellipsoid, Oblate Spheroid, Prolate Spheroid

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