homogeneous, but has a dense iron core. The Maclaurin spheroid is considered to be the simplest model of rotating ellipsoidal figures in hydrostatic equilibrium...

fluid will assume the form of either a Maclaurin spheroid (oblate spheroid) or Jacobi ellipsoid (scalene ellipsoid) when in hydrostatic equilibrium, and...

Jacobi. Before Jacobi, the Maclaurin spheroid, which was formulated in 1742, was considered to be the only type of ellipsoid which can be in equilibrium...

Chandrasekhar dedicated a chapter of his book Ellipsoidal Figures of Equilibrium to Maclaurin spheroids. Maclaurin corresponded extensively with Clairaut, Maupertuis...

internal fluid motions are different. Maclaurin ellipsoid Jacobi ellipsoid Chandrasekhar, S. (1969). Ellipsoidal figures of equilibrium (Vol. 10, p. 253)...

spherical, with an axis ratio of 0.94±0.05 that is consistent with a MacLaurin ellipsoid. Aside from being the smallest of the "big four", Hygiea has a relatively...

the object is symmetrically rounded, mostly due to rotation, into an ellipsoid, where any irregular surface features are consequent to a relatively thin...

section to higher dimensions. A Taylor series is a generalization of a MacLaurin series. The binomial formula is a generalization of the formula for (...

Stability of a Maclaurin Spheroid of Small Viscosity. Astrophysical Journal, vol. 137, p. 777, 137, 777. Chandrasekhar, S. (1987). Ellipsoidal figures of...

{M}{R^{2}}}~{\frac {1}{\left(1\pm {\frac {\Delta r}{R}}\right)^{2}}}} The Maclaurin series of 1 / ( 1 ± x ) 2 {\displaystyle 1/(1\pm x)^{2}} is 1 ∓ 2 x +...