The MacCullagh ellipsoid is defined by the equation: x 2 A + y 2 B + z 2 C = 2 E , {\displaystyle {\frac {x^{2}}{A}}+{\frac {y^{2}}{B}}+{\frac {z^{2}}{C}}=2E,} where E {\displaystyle E} is the energy and x , y , z {\displaystyle 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 {\displaystyle A,B,C} . The construction of such ellipsoid was conceived by James MacCullagh.
The MacCullagh ellipsoid is defined by the equation: x 2 A + y 2 B + z 2 C = 2 E , {\displaystyle {\frac {x^{2}}{A}}+{\frac {y^{2}}{B}}+{\frac {z^{2}}{C}}=2E,} where E {\displaystyle E} is the energy and x , y , z {\displaystyle 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 {\displaystyle A,B,C} . The construction of such ellipsoid was conceived by James MacCullagh.
Source: Wikipedia "MacCullagh ellipsoid" · CC BY-SA 4.0
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