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Equations of Prolate Spheroid in Spherical Polar Coordinates and its Surface Area by Analytical Method

21 February 2022, Version 2
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

As you know we do not have any exact equation for calculation Prolate Spheroid surface area. Here we will obtain this equation by analytical method. Moreover, here we will obtain the prolate spheroid equation, when the center is a focal point of prolate spheroid.

Keywords

Prolate spheroid
Ellipsoid
Oblate spheroid
Surface area

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Version History

Feb 21, 2022 Version 2

Version Notes

Important changes have been made in this version of the article. The main idea of this version is to calculate the surface area of a prolate spheroid by calculating the surface area of its associated sphere.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2022-3rz4n-v2
D O I: 10.33774/coe-2022-3rz4n-v2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

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