5.8.5: Hollow Hemisphere

Celestial Mechanics · LibreTexts

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    From LibreTexts, under CC BY-NC 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Any element of mass, \(δM\) on the surface of a hemisphere of radius \(a\) is at a distance \(a\) from the centre of the hemisphere, and therefore the potential due to this element is merely \(−G δM/a\). Since potential is a scalar quantity, the potential of the entire hemisphere is just \(−GM/a\).

    This page titled 5.8.5: Hollow Hemisphere was last modified on Sat, 05 Mar 2022 17:43:58 GMT and is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Jeremy Tatum via source content that was edited to the style and standards of the LibreTexts platform.