Physics:MacCullagh ellipsoid
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The MacCullagh ellipsoid is defined by the equation:
- [math]\displaystyle{ \frac{x^2}{A} + \frac{y^2}{B} + \frac{z^2}{C} = 2 E, }[/math]
where [math]\displaystyle{ E }[/math] is the energy and [math]\displaystyle{ x,y,z }[/math] are the components of the angular momentum, given in body's principal reference frame, with corresponding principal moments of inertia [math]\displaystyle{ A,B,C }[/math]. The construction of such ellipsoid was conceived by James MacCullagh.[1]
See also
References
- ↑ On the Rotation of a Solid Body round a Fixed Point; being an account of the late Professor Mac Cullagh's Lectures on that subject. Compiled by the Rev. Samuel Haughton, Fellow of Trinity College, Dublin. [Transactions of the Royal Irish Academy, Vol. xxii. p. 139. Read April 23, 1849.]
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