PERTURBATION

pŭrˌtərbāˈshən, in astronomy and physics, small force or other influence that modifies the otherwise simple motion of some object. The term is also used for the effect produced by the perturbation, e.g., a change in the object's energy or path of motion. One important effect of perturbations is the advance, or precession, of the perihelion of a planet, which can be described as a slow rotation of the entire planetary orbit. A residual advance in the perihelion of Mercury provided a valuable test of Einstein's general theory of relativity.

In the solar system the dominant force is the gravitational force exerted by the sun on each planet; assuming that this is the only force, the simple elliptical orbits described by Kepler's laws are derived. However, the perturbations caused by the gravitational interaction of the planets among themselves change and complicate the curve of these orbits. The study of perturbations has led to important discoveries in astronomy. Within the solar system, the existence and position of Neptune was predicted because of the deviations of Uranus from its computed path. Likewise, Pluto was discovered by its effect on Neptune. Beyond the confines of the solar system, perturbations in the orbits of stars caused by the gravitational forces of orbiting bodies have led to the discovery of a number of extrasolar planetary systems.

In the atom the dominant force is the electrical force between the nucleus and the electrons; this force determines the characteristic structure, or energy levels, of the atom. The forces exerted by the electrons among themselves are perturbations that slightly modify this structure.

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The Columbia Encyclopedia, Sixth Edition Copyright© 2004, Columbia University Press. Licensed from Lernout & Hauspie Speech Products N.V. All rights reserved.

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Questia Books and Articles on: Perturbation
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books on: Perturbation  - 3455 results

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...tidal motion is considered as a small perturbation of an original undisturbed state...him is referred to as the atmospheric perturbation equations. The present article deals...Basic Assumptions of the Atmospheric Perturbation Theory. As stated in the preceding...
...weight vector W and a randomly oriented perturbation vector W : W p = W + W . Using the...state as a result of the weight vector perturbation W is given by where WWWp is the angle...W and W p . Given the length of the perturbation vector W , the expected value of this...
...order is needed in the perturbation model. Indeed, in...newest version of the perturbation model, Estes 1997...this newest version, perturbations occur during response...input. Thus, the perturbation model provides a framework...
...entirely different kinds of perturbations, such as turning the bowl...unstable even against small perturbations. Any displacement causes...is stable against small perturbations, but a large perturbation can cause the system to...
...nonlinear system and brief perturbations could elicit transitions...the effects of a perturbation were highly sensitive...duration. Generally, perturbations that tended to dampen...attractors, whereas perturbations that augmented the...that the phase of a perturbation might effect this...
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journal articles on: Perturbation  - 875 results

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...methodology. 2. THE GEOSTATISTICAL OUTPUT PERTURBATION METHOD We now describe the geostatistical output perturbation method. First we outline the underlying...Forecasting at the NMC: The Generation of Perturbations," Bulletin of the American Meteorological...
...of all types, perturbation analysis is important...biology (where the perturbations are produced...specific model. Perturbation analysis always considers perturbations of something...before their perturbation properties can...
...included perturbations to the small...position of perturbation trials was...the target perturbation. In Experiment 2, perturbations involved...the target perturbation. In contrast...to target perturbations, suggesting...
...effects of the perturbation have subtle...large-scale perturbations or between...any given perturbation, across the full set of perturbations several hundred...Yet the perturbations used produced...mutational perturbation and the wild...
...Moreover, gross perturbations of the epigenome...the particular perturbation, organism, and...parental means. In perturbation-derived populations...has shown that perturbations of plant methylomes...crosses using perturbations may be more complicated...effects (i.e., perturbation of progenitor...
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magazine articles on: Perturbation  - 97 results

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...only ones on which we can base a perturbation theory." To understand unfamiliar concepts such as duality, perturbation theory, and non-perturbative...of Taylors expansion is called "perturbation theory," where we perturb the...
...matching the rule (figure 2). A perturbation analysis is then performed to recommend...to the individual agent actions. A perturbation analysis is also performed here to...behavior. Second, ISAAC supports perturbations of models, enabling users to engage...
...schedule is also used to support a minimum perturbation approach. The idea behind this approach...how to order activities. The minimal perturbation heuristic biases the ordering decisions...selected operation and the minimal perturbation heuristic. The user controls the overall...
...following several different perturbation conditions. Then, using...connections between molecules. PERTURBATION INPUT DATA Nolan says the...blotting. In addition, perturbations to the system generated...quantity, but also that the perturbation data was key to predicting...
...because Britain is a sort of canary in the mine for Euro-Atlantic relations. May perturbation in those relations is usually foreshadowed by a perturbation in British politics over the same issues. This debate thus cannot be resolved without...
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newspaper articles on: Perturbation  - 21 results

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...partially offset by an increase in surrounding areas due to the much-vaunted social perturbation effect. However, soon after the end of the trial the perturbation effect disappeared, whereas the benefits persisted for over two years. There is...
...on land bordering these areas because the culling caused "perturbation", where surviving individuals on the edge of the cull area...challenging criteria for an effective cull that also avoids perturbation can be met. "Developing the ability to vaccinate badgers...
...and I were in compliance for the next two years, I was glad and relieved the task was no longer on my plate. My original perturbation was also tempered when I considered where the money generated would be used. Maybe the next time I pick up someones wandering...
...Parliamentary hopefuls clearly thought it would be the best time to start chatting loudly and posing for photos, to the perturbation of other hushed guests. As one in attendance asked: "Are these the type of people were here to attract investment from...
...have increased contact with neighbouring cattle, leading to the spread of TB, experts believe. This is known as the "perturbation" effect. Reducing badger numbers may also allow other, infected animals, to enter territory from which they were previously...
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encyclopedia articles on: Perturbation  - 5 results

 
 
PERTURBATION pur t rba sh n, in...effect produced by the perturbation, e.g., a change...important effect of perturbations is the advance, or...derived. However, the perturbations caused by the gravitational...
...orbiting the sun at great distance and that they are occasionally deflected into the inner solar system by gravitational perturbation from the passing of nearby stars. ____________________ Copyright 2009 Columbia University Press. Used...
...by the Norwegian physicist Vilhelm Bjerknes , the extratropical, or middle-latitude, cyclone originates as a wave, or perturbation, in the polar front separating the cold polar easterly winds from the warmer prevailing winds farther toward the equator...
...Bessel also introduced a class of mathematical functions, named for him, which he established as a result of work on perturbation of the planets and which are widely used in applied mathematics, physics, and engineering...
...is unclear; one theory claims that they were formed from material that could not condense into a single planet because of perturbation effects involving Jupiter. Some asteroids are actually nuclei of comets that are no longer active. The space probe Galileo...


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