Lagrangian point


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. Jupiter's trojan asteroids can be found orbiting around the Jupiter-Sun L4 & L5 points.

Mechanics glossary. 2013.

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  • Lagrangian point — The Lagrangian points (IPA en|ləˈgreɪndʒiən, IPA fr|lagʁɑ̃ʒjɑ̃; 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 — Astron. 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. [1960 65; named after J. L. LAGRANGE; see IAN] * * * ▪ astronomy       in… …   Universalium

  • 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


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