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单词 Prolate Spheroid
释义

Prolate Spheroid

A Spheroid which is ``pointy'' instead of ``squashed,'' i.e., one for which the polar radius is greater thanthe equatorial radius , so . A prolate spheroid has Cartesian equations

(1)

The Ellipticity of the prolate spheroid is defined by
(2)

so that
(3)

Then
(4)

The Surface Area and Volume are
(5)
(6)

See also Darwin-de Sitter Spheroid, Ellipsoid, Oblate Spheroid, Prolate Spheroidal Coordinates,Sphere, Spheroid


References

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 131, 1987.


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更新时间:2024/11/15 7:24:33