Lagrangian in a sentence

Lagrangian mapping Let L be a Lagrangian submanifold of a symplectic manifold (K,ω) given by an immersion i : L ↪ K (i is called a Lagrangian immersion).

A Lagrangian submanifold is called special if in addition to the above Lagrangian condition the restriction to is vanishing.

Lagrangian description In the Lagrangian description the position and physical properties of the particles are described in terms of the material or referential coordinates and time.

Lagrangian The dynamics of the quarks and gluons are controlled by the quantum chromodynamics Lagrangian.

On the other hand, the tensor of inertia is given by : and : Therefore we find : The Lagrangian can be rewritten as : where : is the part of the Lagrangian responsible for the dynamics of the system.

An important theoretical notion concerning the final term of the above Lagrangian is the Wilson loop variable.

A theory is perturbatively renormalizable when the constants in the Lagrangian only diverge at worst as logarithms of the lattice spacing for very short spacings.

Enhancing the basic framework to accommodate their mass is straightforward by adding a right-handed Lagrangian.

Examples include extremely strong fields (see Euler–Heisenberg Lagrangian ) and extremely short distances (see vacuum polarization ).

Hektor, like Achilles, belonged to the L 4 swarm ("ahead" of the planet in its orbit), whereas Patroclus was the first asteroid known to reside at the L 5 Lagrangian point ("behind" the planet).

Herschel and Babbage were present at a celebrated operation of that survey, the remeasuring of the Lough Foyle baseline. citation British Lagrangian School The Analytical Society had initially been no more than an undergraduate provocation.

In 1957, Robert Marshak and George Sudarshan and, somewhat later, Richard Feynman and Murray Gell-Mann proposed a V−A ( vector minus axial vector or left-handed) Lagrangian for weak interactions.

In 2010, spacecraft transfer trajectories to Sun–Earth L 3 were studied and several designs were considered. citation Missions to Lagrangian points generally orbit the points rather than occupy them directly.

In the best of cases, these may then be obtained as systematic expansions in some parameter of the QCD Lagrangian.

In the Lagrangian description, the material derivative of is simply the partial derivative with respect to time, and the position vector is held constant as it does not change with time.

In this scenario, gravitational perturbations by planetesimals caused Theia to depart from its stable Lagrangian location, and subsequent interactions with proto-Earth led to a collision between the two bodies.

It has been suggested that other significant objects may have been created by the impact, which could have remained in orbit between the Earth and Moon, stuck in Lagrangian points.

It is the most intuitively understood of the Lagrangian points: the one where the gravitational attraction of M 2 partially cancels M 1 's gravitational attraction.

Jupiter's Lagrangian points are similarly situated in its much larger orbit.

Jupiter trojans are distributed in two elongated, curved regions around these Lagrangian points with an average semi-major axis of about 5.2 AU.