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Topics related to "Lagrangian"

orbiting observatory
orbiting observatory research satellite designed to study solar radiation, electromagnetic radiation from distant stars, the earth's atmosphere , or the like. Because the atmosphere and other aspects of the earth's environment interfere with astronomical observations from the ground, especiall... Read more
Saturn
Saturn in astronomy, 6th planet from the sun. Astronomical and Physical Characteristics of Saturn Saturn's orbit lies between those of Jupiter and Uranus; its mean distance from the sun is c.886 million mi (1.43 billion km), almost twice that of Jupiter, and its period of revolution is ab... Read more

Encyclopedia entries related to "Lagrangian"

Lagrangian points
Book article from: World Encyclopedia Lagrangian points One of the five points at which a celestial body can remain in a position of equilibrium with respect to two much more massive bodies orbiting each other.
Shadow Prices
Encyclopedia entry from: International Encyclopedia of the Social Sciences ...actual prices are expressed in terms of dollars. When the Lagrangian takes the value of zero, its associated constraint is non-binding. With more than one constraint, additional Lagrangian multipliers are used, each with a shadow price interpretation...
Field Theories
Encyclopedia entry from: Encyclopedia of Science and Religion ...generally derivable from a very special function, called a Lagrangian, which gives the kinetic energy minus the potential energy...always given by an extremum (maximum or minimum) of the Lagrangian action. In physics there are four basic interactions, or...
Lagrange, Joseph Louis
Book article from: World Encyclopedia ...Leonhard Euler as head of the Berlin Academy of Sciences. His major work is Analytical Mechanics (1788), developing a new approach to mechanics based entirely on algebra and calculus . See also celestial mechanics ; Lagrangian points
Symmetry
Encyclopedia entry from: Encyclopedia of Science and Religion ...physics. The exact form of interaction turns out to be a consequence of imposing a local gauge invariance on a free-particle Lagrangian with respect to a particular group (U(1) in the case of QED) of transformations of its quantum state. Extending this...
orbiting observatory
Book article from: The Columbia Encyclopedia, Sixth Edition ...1.5 million km) from the earth, where the gravitational attraction of the earth and the sun are in balance (called a Lagrangian point), SOHO initiated a program of solar physics studies, such as the solar wind and solar plumes. To fully explore the...

Dictionary entries related to "Lagrangian"

Lagrangian point
Book article from: A Dictionary of Astronomy Lagrangian point One of five points at which small...example of bodies lying at the L 4 and L 5 Lagrangian points are the Trojan asteroids in Jupiter...Telesto and Calypso lie at the L 4 and L 5 Lagrangian points in the orbit of the much larger...
Lagrangian points
Book article from: A Dictionary of Earth Sciences Lagrangian points The locations where the gravitational attraction of two...family of asteroids occupy positions close to two of the jovian Lagrangian points. Lagrangian points are named after the French astronomer Comte J. L. Lagrange...
Lagrangian current measurement
Book article from: A Dictionary of Earth Sciences Lagrangian current measurement A technique for measuring water movements by tracing the path of a water particle over a long time interval...
halo orbit
Book article from: A Dictionary of Astronomy ...spacecraft will remain in the vicinity of a Lagrangian point . A halo orbit actually takes...circular or elliptical loop around the Lagrangian point. The first spacecraft to use...000 km around the L 1 Lagrangian point between the Earth and Sun.
Trojan asteroid
Book article from: A Dictionary of Astronomy ...They lie clustered around the leading (L 4 ) and following (L 5 ) Lagrangian points , 60 ° ahead of and behind Jupiter...Neptunian Trojan (2001 QR 322 ) was discovered at Neptune's leading Lagrangian point.
Gaia
Book article from: A Dictionary of Astronomy ...Gaia is a successor to ESA's Hipparcos mission and is planned for launch in 2011 or 2012. It will be stationed at the L 2 Lagrangian point of the Sun–Earth system, 1.5 million km from the Earth in the direction away from the Sun. The name...
mass loss
Book article from: A Dictionary of Astronomy ...stage of stellar evolution it may give rise to a planetary nebula . Violent ejection occurs in a nova or supernova explosion. Mass loss may also occur through the outer Lagrangian point in a contact binary or overcontact binary system.
Solar and Heliospheric Observatory
Book article from: A Dictionary of Astronomy ...EUV, and the Michelson Doppler Imager ( MDI ), which studies solar oscillations. SOHO is in a halo orbit around the inner Lagrangian point (L 1 ) between the Sun and Earth, some 1.5 million km from the Earth in the sunward direction, so that the Sun...
Advanced Composition Explorer
Book article from: A Dictionary of Astronomy ...the composition of the solar wind and cosmic rays, launched 1997 August. It was stationed in a halo orbit around the L 1 Lagrangian point 1.5 million km sunwards of the Earth. ACE carried nine instruments to sample low-energy particles of solar origin...
James Webb Space Telescope
Book article from: A Dictionary of Astronomy ...consisting of 18 hexagonal segments which will be folded for launch and opened when in space. JWST will be positioned at the L 2 Lagrangian point , 1.5 million km from Earth on the side away from the Sun. It is designed to operate at infrared wavelengths, to...

Related newspaper, magazine, and trade journal articles from HighBeam Research

Generalized augmented Lagrangian problem and approximate optimal solutions in nonlinear programming.(Research Article)(Report)
Magazine article from: Journal of Inequalities and Applications; 1/1/2007; ; 700+ words ; ...solutions and a generalized augmented Lagrangian in nonlinear programming, establish...problem based on the generalized augmented Lagrangian, obtain approximate KKT necessary optimality...condition of the generalized augmented Lagrangian dual problem, prove that the approximate...
An accurate semi-lagrangian scheme for raindrop sedimentation
Magazine article from: Monthly Weather Review; 5/1/2003; ; 700+ words ; ...large gradients. Being essentially of Lagrangian type, the scheme is stable even with...computational stability similar to the box-Lagrangian scheme, but it is more accurate. 1...methods, numerical methods following Lagrangian thought have been suggested. Grabowski...
Toward a Fully Lagrangian Atmospheric Modeling System
Magazine article from: Monthly Weather Review; 12/1/2008; ; 700+ words ; ...magnifies another error. The cost of semi-Lagrangian models is too high for many applications...Furthermore, traditional trajectory "Lagrangian" models do not solve both the dynamical...tracer equations simultaneously in the Lagrangian frame. A fully Lagrangian numerical...
Relating Eulerian and Lagrangian Statistics for the Turbulent Dispersion in the Atmospheric Convective Boundary Layer
Magazine article from: Journal of the Atmospheric Sciences; 4/1/2005; ; 700+ words ; ABSTRACT Eulerian and Lagrangian statistics in the atmospheric convective...performed in both the Eulerian and Lagrangian frameworks, autocorrelations are...satisfied in the simulated flow. Lagrangian statistics are derived by tracking...
Internal Waves in a Lagrangian Reference Frame
Magazine article from: Journal of the Atmospheric Sciences; 6/1/2004; ; 700+ words ; ...gravity waves have been expressed in a Lagrangian reference frame, motivated by the observation...Here the dispersion relation in a Lagrangian reference frame is explicitly derived...dispersion relation from Eulerian to Lagrangian coordinates, while the second derivation...
Forecast experiments with a global finite-difference semi-Lagrangian model
Magazine article from: Monthly Weather Review; 9/1/1996; ; 700+ words ; ...physical parameterizations (semi-Lagrangian versus Eulerian). The model has...scores. The two versions of the semi-Lagrangian model, one with Eulerian physics and the other with semi-Lagrangian physics, give similar forecast skill...
LAGRANGIAN ANALYSIS AND PREDICTION OF COASTAL AND OCEAN DYNAMICS
Magazine article from: Bulletin of the American Meteorological Society; 10/1/2008; ; 611 words ; LAGRANGIAN ANALYSIS AND PREDICTION OF COASTAL AND...Press, ISBN 978-0-521- 87018-4 Lagrangian Analysis and Prediction of Coastal and...Articles range from a historical review of Lagrangian platforms, to discussions on how to...
A comparison of semi-Lagrangian and Eulerian polar climate simulations
Magazine article from: Monthly Weather Review; 4/1/1998; ; 700+ words ; ...troposphere temperature simulated by semi-Lagrangian and Eulerian approximations are examined...with the NCAR CCM3 show that the semi-Lagrangian dynamical approximations tend to produce...tendency differences between semi-Lagrangian and Eulerian approximations are small...
Scientific Insights from Four Generations of Lagrangian Smart Balloons in Atmospheric Research*
Magazine article from: Bulletin of the American Meteorological Society; 11/1/2006; ; 700+ words ; ...This reference frame is commonly called Lagrangian after the inventor, French mathematician...Lagrange (1736-1813). In total, 10 Lagrangian experiments were carried out-2 each...gains in capability of the autonomous Lagrangian balloons. Progress in our understanding...
Comments on "On Internal Waves in a Lagrangian Reference Frame"
Magazine article from: Journal of the Atmospheric Sciences; 1/1/2005; ; 700+ words ; ...contrasts gravity wave formulations in Lagrangian and Eulerian analyses. They derived a Lagrangian dispersion relation that takes some account...is "a complete equivalence between the Lagrangian ray equations (46) and the Eulerian...