Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field...

Clairaut's theorem (calculus) Clairaut's theorem (gravity) This disambiguation page lists articles associated with the title Clairaut's formula. If an internal...

credited with Clairaut's equation and Clairaut's relation. Clairaut was born in Paris, France, to Jean-Baptiste and Catherine Petit Clairaut. The couple...

center of celestial bodies. Astronomical object § Shape Clairaut's theorem (gravity) Earth's gravity Planetary flattening Hadhazy, Adam. "Fact or Fiction:...

This is the International Gravity Formula 1967, the 1967 Geodetic Reference System Formula, Helmert's equation or Clairaut's formula. An alternative formula...

energy theorem (physics) Price's theorem (general relativity) Clairaut's theorem (physics) Shell theorem (physics) Analyst's traveling salesman theorem (discrete...

Newton's law of universal gravitation describes gravity as a force by stating that every particle attracts every other particle in the universe with a...

In 1737, Alexis Clairaut studied the case of density varying with depth. Clairaut's theorem states that the variation of the gravity (including centrifugal...

forces, gravity results in a constant downward acceleration of every freely moving object. Near Earth's surface the acceleration due to gravity is g =...

bounded away from a triple collision. This implies, by Cauchy's existence theorem for differential equations, that there are no complex singularities in...

Euler proved a theorem expressing the curvature of a space curve on a surface in terms of the principal curvatures, known as Euler's theorem. Later in the...

measurements of meridian arcs with that given by Clairaut's theorem drawn from the measurement of gravity. The Weights and Measures Commission would, in...

Noether's theorem, which relates symmetries and conservation laws. The conservation of momentum can be derived by applying Noether's theorem to a Lagrangian...

\varphi )} in a Cartesian coordinate system with Schwarz's theorem (also called Clairaut's theorem on equality of mixed partials). Provided that U {\displaystyle...

locations on Earth. In 1743 Alexis Claude Clairaut created the first hydrostatic model of the Earth, Clairaut's theorem, which allowed the ellipticity of the...

{\displaystyle v_{e}\cos \varphi } ) is small compared with the acceleration due to gravity (g, approximately 9.81 m/s2 (32.2 ft/s2) near Earth's surface). For such...

superseded by the theory of relativity. He used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for tides, the trajectories...

In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by...

energy is equal to the work done against any restoring forces, such as gravity or those in a spring. The term potential energy was introduced by the 19th-century...

Aristotelian theory of motion. He showed that the bodies were accelerated by gravity to an extent that was independent of their mass and argued that objects...

determined by geodetic-geophysical models of the subsurface. Clairaut's theorem EGM96 Gravity formula Horizon §§ Distance​ and Curvature Meridian arc History...

particles move on geodesics and the bending is caused by gravity. The local existence and uniqueness theorem for geodesics states that geodesics on a smooth manifold...

centrifugal force. The oblate spheroid shape reflects, following Clairaut's theorem, the balance between containment by gravitational attraction and dispersal...

Master of Arts three years later by defending a thesis on the Power of Gravity, and remained at Glasgow to study divinity until he was 19, when he was...

&f_{1j}\\...&...&...\\f_{i0}&...&f_{ij}\\\end{array}}\right)} Varignon's theorem states that the moment of a force about any point is equal to the sum of...

though he was using Newtonian-type geometric reasoning. Laplace described Clairaut's work as being "in the class of the most beautiful mathematical productions"...

increases without limit.) This theorem appears again, with expanded explanation, as Proposition 1, Theorem 1, of the Principia. Theorem 2 considers a body moving...

for 1745 (published 1749), at p. 329 (according to a note on p. 329, Clairaut's paper was read at a session of November 1747). Jeans, J. H. (26 March...

mathematical training to Alexis Clairaut, a mathematical prodigy known best for Clairaut's equation and Clairaut's theorem. Du Châtelet resourcefully sought...

rotating fluid masses, and the study of particles under the influence of gravity. His work in the field of mathematical physics regarded the boundary value...