MacCullagh ellipsoid

The MacCullagh ellipsoid is defined by the equation:

{\frac {x^{2}}{A}}+{\frac {y^{2}}{B}}+{\frac {z^{2}}{C}}=2E,

where $E$ is the energy and $x,y,z$ are the components of the angular momentum, given in body's principal reference frame, with corresponding principal moments of inertia $A,B,C$ . The construction of such ellipsoid was conceived by James MacCullagh.^[1]

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.]

[1] 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.]

[1]

MacCullagh ellipsoid

See also

References