Search results

...It is an important quantity in [[accelerator physics]] and [[astroparticle physics]]. === Motion within a magnetic field === ...

{{Short description|Special motion in physics}} ...stic is that one of its points (its apex) is at rest throughout the entire motion. ...

A '''free motion equation''' is a [[differential equation]] that describes a mechanical syst ...s mechanics]] on a configuration space <math>Q\to \mathbb R</math>, a free motion equation is defined as a second order [[non-autonomous system (mathematics) ...

In [[classical mechanics]], a branch overlapping in [[physics]] and [[applied mathematics]], '''mechanical similarity''' occurs when the ...of motion]] are a series of geometrically similar paths, and the times of motion ''t'' at corresponding points on the paths are related to the linear size ' ...

In [[physics]], a '''Super Bloch oscillation''' describes a certain type of motion of a particle in a lattice potential under external periodic driving. The t ...f lattice sites. Those Super Bloch oscillations directly correspond to the motion of normal Bloch oscillations, just rescaled in space and time. ...

== Equation of motion == In order to derive the [[Equations of motion|equation of motion]] in the case of circular orbits for the primary bodies, use that the tot ...

...beam's motion. The term is used primarily for [[electron]] beams, in which motion is often dominated by the space charge. ...In vacuum (Child's law)|Child-Langmuir law]]<ref>''Handbook of Accelerator Physics and Engineering'', edited by A.W. Chao and M. Tigner, World Scientific, 199 ...

...onal to a driving force are often described with the term ''[[Aristotelian physics|Aristotelian mechanics]]''.<ref>Arthur Stinner, "The story of force: from A ...d ''x'' for the distance the fluid has advanced, the Bosanquet equation of motion is<ref name=Schoelkopf>Joachim Schoelkopf, Patrick A. C. Gane, Cathy J ...

According to mechanics, the equation of motion of the spin J is: g is [[g-factor (physics)|g-factor]], which is dimensionless and reflecting the environmental effect ...

{{short description|Conservable measure of the wave part of a motion}} ...uantity|conservable measure]] of the [[wave]] part of a [[motion (physics)|motion]].<ref name="AM1978">{{harvtxt|Andrews|McIntyre|1978}}</ref> For small-[[am ...

...motion|rectilinear]] or [[Curvilinear motion|curvilinear]]), with [[unit (physics)|units]] of [[length]] (e.g., [[metre]]). ...''Lie Groups'', page 70, Cambridge Tracts in Mathematics and Mathematical Physics # 46</ref> ...

In physics, '''angular mechanics''' is a field of [[mechanics]] which studies [[rotati ...respectively). This makes the top spin. According to newtons third law of motion,<ref name=":0" /> the top would continue to spin until a force is acted upo ...

...the phase space coordinates only through [[constant of motion|integrals of motion]] in the given potential, and conversely any function of the integrals is a ...tials, some orbits respect only one or two integrals and the corresponding motion is chaotic. Jeans's theorem can be generalized to such potentials as follow ...

...l vertical [[spring-mass system]] with gravity, cf. also [[Simple harmonic motion#Mass on a spring]]}} [[File:ElasticPendulum.webm|thumb|Motion of an elastic pendulum - you can see the effect of overlapping vibrations o ...

* [[Fractional Brownian motion]] * {{citation |last=van den Berg |first=J. C. |year=2004 |title=Wavelets in Physics |publisher=Cambridge |isbn=978-0-521-53353-9}}. ...

...to circles|tangent]] to the [[circumference]] of the circle. For circular motion, the terms linear speed and tangential speed are used interchangeably, and ...is defined as <math>2\pi /T</math>, where ''T'' is the [[rotation period (physics)|rotation period]], hence <math>v = \omega r</math>. ...

...alent-barotropic modons |url=https://doi.org/10.1063/1.865658 |journal=The Physics of Fluids |volume=29 |issue=5 |pages=1419–1422 |doi=10.1063/1.865658 |issn= ...tps://link.aps.org/doi/10.1103/RevModPhys.71.735|journal=Reviews of Modern Physics | language=en | volume=71 | issue=3|pages=735–778|doi=10.1103/RevModPhys.71 ...

...167-2789(86)90104-1 |bibcode=1986PhyD...23....3P }}</ref> or shape induced motion due to non-variation dynamics in the system, according to Alvarez-Socorro, [[File:Moving magnetic domains by Zureks.gif|thumb|The motion of magnetization domains front. Black state (a magnetization direction in t ...

In [[mathematical physics]], certain [[conformal map#Pseudo-Euclidean space|conformal map]]s known as ...al |title= Conformal field theory |series= Graduate texts in contemporary physics |year= 1997 |publisher= Springer |isbn= 978-0-387-94785-3 |pages= 97–98}}</ ...

{{Short description|Basic concept in accelerator physics}} ...quadrupole magnet]]s, [[electrostatic lens]]es, RF-fields. This transverse motion is the subject of study of [[electron optics]]. Betatron oscillations were ...