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In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive body. [1] The other forces can include a third (fourth, fifth, etc.) body, resistance, as from an atmosphere, and the off-center attraction of an oblate or otherwise misshapen body.
Perturbation (astronomy), alterations to an object's orbit (e.g., 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
In mathematical optimization, the perturbation function is any function which relates to primal and dual problems. The name comes from the fact that any such function defines a perturbation of the initial problem.
An approximate 'perturbation solution' is obtained by truncating the series, often keeping only the first two terms, the solution to the known problem and the 'first order' perturbation correction. Perturbation theory is used in a wide range of fields and reaches its most sophisticated and advanced forms in quantum field theory.
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak ...
In mathematics and physics, a non-perturbative function or process is one that cannot be described by perturbation theory. An example is the function An example is the function f ( x ) = e − 1 / x 2 , {\displaystyle f(x)=e^{-1/x^{2}},}
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The sentence about 17th century epicycles in the history of PT sounds strange to me. ... 1687) was not a 'use of' perturbation theory as one is said to make 'use of ...