 Lagrangian point

one of five points in the orbital plane of two bodies orbiting about their common center of gravity at which another body of small mass can be in equilibrium.[196065; named after J. L. LAGRANGE; see IAN]
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in astronomy, a point in space at which a small body, under the gravitational influence of two large ones, will remain approximately at rest relative to them. The existence of such points was deduced by the French mathematician and astronomer JosephLouis Lagrange in 1772. In 1906 the first examples were discovered: these were minor planets moving in Jupiter's orbit, under the influence of Jupiter and the Sun. (See also Trojan planets.)In each system of two heavy bodies (e.g., SunJupiter, or EarthMoon) there exist five theoretical Lagrangian points, but only two are stable—i.e., will tend to retain small bodies despite slight perturbations by outside gravitational influences. Each stable point forms one tip of an equilateral triangle having the two massive bodies at the other vertices.* * *
Universalium. 2010.
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Lagrangian point — The Lagrangian points (IPA enləˈgreɪndʒiən, IPA frlagʁɑ̃ʒjɑ̃; also Lagrange point, L point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary… … Wikipedia
Lagrangian point — [lə grɒLagrangian pointʒɪən] noun Astronomy each of five points in the plane of orbit of one body around another at which a small third body can remain stationary with respect to the others. Origin C19: named after the Italian born French… … English new terms dictionary
Lagrangian point — one of the solutions to the three body problem discovered by the eighteenth century French mathematician Lagrange. The two stable Lagrangian points, L 4 and L 5, lie in the orbit of the primary body, leading and trailing it by a 60 degree arc.… … Mechanics glossary
lagrangian point — noun Usage: usually capitalized L Etymology: Joseph L. Lagrange died 1813 Italian born geometer and astronomer in France + English ian : any of five points at which a small object (as a satellite) will be in gravitational equilibrium with and… … Useful english dictionary
Lagrangian — This article is about Lagrange mechanics. For other uses, see Lagrangian (disambiguation). The Lagrangian, L, of a dynamical system is a function that summarizes the dynamics of the system. It is named after Joseph Louis Lagrange. The concept of… … Wikipedia
Lagrangian — 1. adjective a) of or relating to b) of or relating to a Lagrange point / Lagrangian point 2. noun a) the Lagrangian function b) an object residing in a … Wiktionary
point — critical point Lagrangian point yield point … Mechanics glossary
Lagrangian mechanics — is a re formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Italian mathematician Lagrange in 1788. In Lagrangian mechanics, the trajectory of a system of particles is… … Wikipedia
Lagrangian Grassmannian — In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is n(n+1)/2 (where the dimension of V is 2n). It may be identified with the homogeneous space U(n)/O(n)… … Wikipedia
Lagrangian function — /leuh grayn jee euhn/, Physics. See kinetic potential. [1900 05; named after J. L. LAGRANGE; see IAN] * * * ▪ physics also called Lagrangian quantity that characterizes the state of a physical system. In mechanics, the Lagrangian function … Universalium