Up: Ellipsoidal Potential Theory
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Let us adopt the right-handed Cartesian coordinate system
. Consider a homogeneous ellipsoidal body whose outer boundary
are the principal radii along the
Let us calculate the gravitational potential (i.e., the potential energy of a unit test mass) at some
lying within this body. More information
on ellipsoidal potential theory can be found in Chandrasekhar 1969.