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perturbation, 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.

The Columbia Electronic Encyclopedia Copyright © 2004.

Licensed from Columbia University Press

Licensed from Columbia University Press

Perturbation or perturb may refer to any of numerous concepts in several fields:## See also

- Perturbation theory, mathematical methods that give approximate solutions to problems that cannot be solved exactly
- Perturbation (geology), changes in the nature of alluvial deposits over time
- Perturbation (astronomy), alterations to an object's orbit caused by gravitational interactions with other bodies
- Perturbation theory (quantum mechanics), a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one
- Perturbation (biology), an alteration of the function of a biological system, induced by external or internal mechanisms
- Perturbation (economic), an alteration of the function of an economic system, induced by external or internal mechanisms
- Perturbation (machine learning), making changes in the dataset to (re)learn a classifier (used in bagging and boosting).

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Last updated on Thursday September 18, 2008 at 07:50:07 PDT (GMT -0700)

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